About the Art of Engineering (Version 3.0. )

This blog is about the Future of Engineering.

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King Solomon Solves a Wicked Problem by Introducing a not-Desirable Technical Solution..

Technology is (and Politics are)the Cause and the Solution of many Wicked Poblems. The reason is that Politicians forget to look at Reality and Engineers forget to look at the Users of their systems or forget to look at the Impact of their Systems on society or Nature.

Wicked Problems Generate New wicked problems (“Loop“) when they are Solved and often end up in a Huge (Social) Conflict between the Stakeholders.

wicked problems are Solved by System Thinking combined with Collaborative Learning. and High Order Cybernetics (Many Iterations and Feedback Loops). controlled by a Special Type of Dialoque initially invented by the Physicist David Bohm (chosen by Einstein as his successor) in Cooperation with the Indian Philosopher Jiddu Krishnamurti. (initially chosen by the Theosophical Society to become the Maytreya) Written about in the book On Dialoque by David Bohm.

About Mental Space.
Callaborative Learning contains 3 connected Cycles connected in a Cycle. The )sub-cycles) operate in a Social Context, Mental Space and Physical Space. This model is an application of one level of Paths of Change (see Part 2 of this Blog).
Paths of Change applied to System Development. See Part 2 of this Blog.

In this Blog I Ttry to develop a Context-Dependent View on Technology.

Wicked Problems involve Many Stakeholders with different Values and Priorities, Issues with Roots that are Complex and Tangled. Problems that are Difficult to come to grips with and that Change with every Attempt to address them.The challenge has No Precedent. There’s Nothing to indicate the Right answer to the problem.Wicked problems can be Solved by Applying Paths of Change (Part 2)

About Dialoque Mapping:

About Dialoque Mapping.

List of Chapters:

Part 0: Introduction. This chapter written in a Dualistic Style ends with a Video of a Presentation of Neil Theise about Non-Dual Realism which Could Be the Theme of this Entire post.

Part 1 Managing Complex Engineering Projects using COLLIN.(Collective Intelligence) developed by Engineers of the Technical University Delft. Collin contains a Video of the Geometric Process-Model developed by Theo Lohman. This model has a lot in common with Paths of Change.

If you are Only interested in Managing Complex Engineering projects you can find a very extensive Dissertation about this subject in this part. If you want to know more you can also Contact me.

Part 2 about Change management and Paths of Change.(PoC), a very Old Philosophy highly related to the Research of Carl Jung about the Quaternion.

in Part 3 I introduce you to the work of Kent Palmer. He defined Schema Theory as a theoretical Framework for system Design. A Schema is a 2xN-Dimensional Frame

Part 4 Why Meta-Systems, are a Schap (Scape). and why the Future lies behind the HORIZON which is where Infinity is situated.

About Projective Geometry, Space-Time, the Chronotope and the Philosophy of Bhaktin .

Part 5 is about Phenomenology

Part 6 About Ancient Science of Egypt .

Part 7 About the Predicting Dreams and the Role of consciousness in Design.

Designs are not made but Received from the Spirits (Gins) that Inspire us.Why people are a Genius!
inner self
A Gini is a Gaudian Angel that acts as the Higher Self. The Higher self is able to see the Past and the Future from the Now.

Part 8: About WHoles, holes and Holons.

Part 9; How the Future influences the Past. This is a result of Feynmann Wheeler Absorber Theory

Part 10. about Cycles TechnologyCycles, and Why Synchronization is the cause of Hypes.

In this chapter I show that it is possible to Predict the Future of Technology with a very high Accuracy.

This Cycle was known 1000nds of years ago and used to Predict the Future of Kings and States.

Part 11. about Industries, Meta-Industries, Why a City is an Organism and why engineers have to become Ecology-managers. Our Industry is destroying not only Earth but also our particles (CERN) and our Body (with Chemicals). We have to believe in our Biofield.

Part 12: About Creativity and Innovation (TRIZ & ASIT).ASIT is about Thinking In the Box.

Part 13:: About the Philosophy of Technology.

Part 14: About Cybernetics.

Part 15: About Art and Meta-Art. Why Modern Art is a Technology.

PArt 16 About Webs. Who is weaving the web we Live in?

Part 17 ABout Intuition, and Mathematics with many Links about Proof-and Type-theory. and new developments in Meta-MetaMahematics.

Part 18: About Schema-theory and Duality(Link to Document of Kent Palmer with a personal explanation of his theory.

Part 19: About Magic as a Technology. Do spirits exist? (Link to Presentation about Egyptian Magic).

Part 20: About Rhetorics, the Art of Memory and the relarionship between Rhetorics and Music.

With memory (Akasha) we keep the World Alive.

Part 22: About Architecture in Building and Software.

What is Beauty, What is a Living Building?

About Quality and the Art of Motorcycle Maintenance.

About Lila, Dynamic Quality and Quantum Mechanics.

About Christopher Alexander and the Luminous Ground.

Part 23: Conclusion.(in Development)

Part 24: Link to many Links.

The End: Bookeeping of this Blog.

Part 0: Introduction

I Started Writing this Blog on June 29th 2019.

I have spend Every Day until today to do Research or to write.

The blog shows you how to improve engineering perhaps by doing the Opposite of improving (not-Improving (maintenance, Keeping Alive) or the Opposite of the Opposite (destroying?, getting rid of?, clean up, transforming?) .

Engine-ering (Machineering) is about Making Remaking or Taking Care of something (a Seed?) or someone.

This Blog is still in Development but every part is worthwile.

Start where you want and move around.

This Blog is a Piece of (meta)-Art because It is Writing itself.

If you want to Look at a Summary of this Blog look at the Video Below about the Fundamental Awareness Model of Neil D. Theise and Kafatos.

Summary of the Summary: Everything that goes Wrong makes things Work and every New Theory we Detect is the result of an Observation at the Wrong Scale.

Engineering Innovates by Learning from the Mistakes off Others. We could even innovate by Generating Mistakes that generate Solutions to Problems that do not Exist.

Summary of the Summary of The Summary : Nature and Humans Experiment. (Just like Engineers do).

What looks like a Body at one Scale of Perception is Billions of Cells and Trillions of Molecules on Another Scale.

Life is an Autopoietic Machine which is a Machine organized as a Network of Processes of production of components which realize the network of processes that produce them.

Death caused by a Disaster is needed to invoke an Alternative Path to Improve Life.

We experience our ‘Selves’ as Both a current Set of EMERGING Feelings, Sensations, and Thoughts, as well as a Boundaryless Ocean of Memories and Imagination.

Our Universe is a Conscious Experience which expresses itself in novel ways for the purpose of Enriching Experience.

Non-Dual Conscious Realism ~ Neil Theise:

Part 1 Managing Big Engineering Projects.

Big engineering projects almost always fail (and are therefore highly Innovative).

This blog is written to improve Engineering or to create a new Type of engineering that is in tune with the Spirits of Nature. and founded on the most robust foundation of Science which is mathematics.

Thanks to Kent Palmer this blog will also bring systems-theory in line with the State of the Art in philosophy.

It will also prove that a lot of science (including Medicine) is really engineering. If you dont believe this read this link.

This blog is a major step in a process that started a long time ago when I met Eric Vreedenburgh who was at that time part-time working at the Inter-faculty of the Royal Academy of Arts in the Hague.

He started my quest to Fuse the many Architects (music (composer), painting, Writer, poet, movie (director, script writer) landscape, house, software, politician, strategist (Tzun Tsu)). General, etc ) there are.

In this blog I will show you that they all have Creativity in common and that Creativity is related to what is called the Holy Spirit (or te Void).

I have changed the name of this blog from the Future of Engineering to the Art of engineering because I believe that the most important Talent of an Engineer is her or his Imagination.

The human always represented as an Ape in ancient Egypt looks with his 3th eye (the imagination) at Thoth ?Djehuty, the the Architect and protector of the Djed, the Force of Life,

This a highly Dynamic blog .Everyday I will add new parts so when you want to follow my progress come back as often as you like.

Currently I am learning to use a new version of the editor of WordPress called Gutenberg.

It proves to me that a New Version is often Not the Best Version. The laerning process takes a lot of time.

When you read the thousands of pages of documents of Kent Palmer I use you will see that he is trying to Recreate Ssystems-Theory from the Bottom.

This Bottom is very old and lies in China, India and Egypt.

Imagining Nothing is Something but Nothing, “the VOID“, could contain the source of creation we always use when we make something out of nothing. (this is the essence of the Diamond Sutra).

When you want to discuss the issue of the Future of Engineering join the Linkedin Group with the same name.

After  a few lines my English Text Starts->

De inspiratie om te gaan schrijven ontstond toen ik door Harm Rozie in contact werd gebracht met ingenieurs die bezig waren met het verbeteren van hun vakgebied onder de noemer (First Time Right).

De reden is dat de meeste technologieprojecten die vaak meer dan een miljard kosten mislukken en dat het er op lijkt dat de aannemers erg veel baat hebben van dit mislukken omdat dan alles nog een keer of meer moet.

-> Part 1 : Collin.Managing Complex Projects

The amount of failing complex technology-projects is increasing.

I got in contact with a group of people connected to the Technical University of Delft who were trying to solve this problem.

One of them is Theo Lohman.

He developed a method called Collin (Collective Intelligence).

The model of Collin

Leo Ruijven, wrote a dissertation about Collin (and more) called : A unified framework improving interoperability and symbiosis in the field of Systems Engineering.

Kent Palmer has been busy in the US to solve the same problems in a completely different way.

Kent is building a new engineering theory he calls Schema Theory.

Theo and others have  developed Relatics . Relatics is a tool to support the making of project-documentation.

You can link documents to a common project-datamodel. The idea behind Relatics is that big projects fail because the participants loose oversight.

This can be prohibited  by making standardized documentation.Relatics is a manual tool.

You have to make the projectmodel and the  links to the content/documentation by hand.

We (Alchemist BV) have developed a tool that makes a semantic-network  out of the content of a project using text-mining.

This tool can also be used to make a semantic network out of of any software-code.

THis tool is a result of a Big project (called Resolver) I started at ABN AMRO around 1991 to solve our big software integration problems caused by a merger under pressure.

After a long time of search and research all over the world we ended up at the CWI (Center for Mathematics and Informatics) close to our headquarters in Amsterdam where Paul Klint was developing a meta-parser. .

Alchemist is the result of research by Wim Goes to solve the problem that the rules of the parsers (“translators) of software-languages are changing all the time with every new language. or new version of the language.

To become future-proof we needed a general tool.

This tool was developed on top of advanced text-mining-tools proving that a progam-language is nothing but a specialized human language with the same problems (“dialects”, etc) as human languages have.

Alchemist not only generates a semantic-network but it also detects patterns behind the many pieces of software and contextual textual content a company (or a network of companies) produces.

It shows the implicit progress of the activity of many people who look at the same context with a different view.

Part 2. Paths of Change (PoC)

I found out that Collin has a lot to do with Paths of Change (Poc) of Will Mcwhinney.

The main reason is that PoC contains a widely applicable general framework that has been used for many ages in many cultures.

PoC is a Meta-Theory (or better a Meta-Praxis) that explains many theories (and philosophies).

PoC uses the concept of Worldview, a Sensory definition of a unique perspective at the world you live in. “

look/view” is not the right word because one of the worldviews is called  Sensory.

Poc has a lot in common with the Archetypes of Jung (Sensing, Thinking (Unity, Models, Rules), Feeling (Social, Emotions) and Intuiting (Mythic, Imagination).

The worldviews of PoC are orthogonal which means that the views are independent.

They are a 2×2 combination of Expansion (red) and Contraction (blue) often called the Cosmic Breath.

The four worldviews are independent and are a 2×2 combination of expansion and contraction

PoC is a fractal framework which means that Poc can be applied to  Itself.

Poc is also a clyclic framework which means that the views of the Paths of Change are connected in a cycle (and a meta-cycle (etc.) that moves With (Introvert) and   Against the cClock (Extravert) .

Poc also contains a center. (the cross) that can be seen as a Projection of Consciousness seen as the Observer.

Below a view on a Chinese model called the Five Elements Map.

The four corners of PoC and the center of the Cross add up to Five Perspectives.

The Four + one center Elements come back in many Cultures and in Old and Recent Science.

As you can see the two directions of the movement are called destructive (Against the Clock, Consuming) and generative/ Productive.

The two movements connect and create a Moebius Ring (the number 8).

5elements

Wicked and other Problems are solved by Making a connection between the Worldview to create a Path of Change.

Every 2-combination (called a Game) of Worldviews is a step in a Path of Change is named with many names. For instance Unitary<-> Sensory is called Make (U->S) or Analyze. (S->U)

Combinations of Steps are related to well known Methods. 4-Rations with are against the Clock are High Lvel Resoluthttps://constable.blog/2007/08/27/paths-change-how-change-organization-starting-changing-your-self/ion Paths.

Later in this Blog you will see that there are many Theories that are easlily mapped to PoC.

Slide04

Garl Jung called the framework behind his Archetypes a Quaternion, a 4×4-square that contains complementary (“dual”) concepts (Senses/Facts vs Imagination), (Object/Unity) vs/Subject (Social).

The Quaternion has a lot in common with the Chinese  Lo Shu Magic square which is the “generator” of the ancient Chinese Cyclic Models.

The Lo Shu Square on the back of a small turtle surrounded by the signs of the Chinese zodiac
.

The Turtle is a synbol of Orion a constellation that played an important role in many ancient cultures.

The pyramids of Egypt were oriented at Orion and Sirius (the Dog Star). The Dogon in Africa who knew a lot about ancient Egypt tell in their creation story about the extraterestials (the Nommos) that came from Sirius B to create life on Earth. They were the first engineers on earth.

Jung got a lot of his ideas out of a very long discussion about the dreams of Wolfgang Pauli, one of the creators of Quantum Mechanics.

A Quaternion is a square. A square can be divided by a line into two Triangels. The mathematical Triangle has a lot to do with the Spiritual triangel, the trinity . The Triangel is also a basic building block in Geometry.

The work of Kent Palmer is called Schema Theory.

Schema Theory uses Mathematics  as a foundation and shows that the history of mathematics follows the history of Engineering. Both make use of the same ideas/concepts.

To me this is fine because  I am a trained mathematician.

The nice thing with mathematics is that most mathematicians are also philosopher because both need the same concepts to explain what they are looking for or have found.

Kent Palmer uses the concept of the Schema as a central frame to explain what is or was happening in Engineering . A Schema is a 2-dimensional frame.

Part 3: Kent Palmer About Naming SYstems

My Father was born in the center of the Netherlands called “de Veluwe”. His family spoke a different dialect as my mothers family.

Later I met other people with different dialects. I even found out that Science and Banking use their own dialect.A Dialect is a unique way in which people speak a language that is often highly related to a shared language.There are many ways to group dialects (Location, Social Class, Profession,.History, culture ..). Dialects can be highly confusing that’s why standardizing terminology is needed when you want to make enduring relationships. 

Bahktin, a Russian Philosopher spent his whole life researching literature. Bahktin developed the concept of the Chronotope : “the intrinsic connectedness of temporal and spatial relationships that are artistically expressed in literature”.

Bahktin found many cycles (the Wheel of Life) that are explained by Paths of Change.

Bahktin wrote a lot about Systemscapes called a Context. He believed that structuring (Coding) kills a context by destroying its potential:

A context is potentially unfinalized; a code must be finalized. A code is only a technical means of transmitting information; it does not have cognitive, creative significance. Code is deliberately killed context.

ferris wheel under blue sky

In 176 At ABN (a big bank) I was asked to take care of the Data and the Terminology of the bank (Data-Management). We used a special database called a Dictionary to store all the definitions of the data and their technical implementations in database, software and manual processes. The model of the Dictonary was called a Meta-Model.

After some time we found out that the meta-model was a self-reference (a fractal) and it all came back to my favorite subject I found when I was trained as a programmer.

To teach us we  were given highly difficult problems we had to solve in a very short time using a highly limited computer (1969 CRI Leiden). I found out that the best solutions were always fractal.

Later the specifications of the software and the coding  were stored in the same dictionary now called a repository.

Later I got into contact with many scientists that were highly interested in data and the meaning (semantics) of data.

In my fathers dialect  a  Plank was called a schap. In English Schap is called scape .

A plank is a horizontal frame that is used to carry objects.

A LandScape is A portion of land or territory which the eye can comprehend in a single view, including all the objects it contains.

A Horizontal Frame can be seen from a Stake. A stake (“paal”) is a pointed foundation hit in the ground.

When you climb  the Stake you can see the Horizon.

When you climb you use a scale.The Horizon is a Horizon-tal Line.calm water with sun and orange skyPerspective (looking thhrough a hole) was invented by Painters in the Renaissance and was transformed into Projective Geometry that was transformed into the Model of Curved Space/Time that was used by Einstein when he developed Special Relativity Theory.

Parallel lines cross at infinity which is the Horizon.

Alfred Durer demonstrates his Perspective Machine.

Vriendschap is called Friendship in English. A Ship is a Scape. a horizontal frame floating on Water.

A Scape, a view or picture of a scene, has various synonyms: context, situation, environment, ecosystem, medium, milieu,or Gestalt.

In the linked document called Naming Systems Kent Palmer writes bout Meta-Systems, Meta-Systems float above normal Systems.

Meta  means about the thing itself. It’s seeing the thing from a higher perspective.

When you want to get oversight you have to go UP until you see the Horizon. UP is called Abstracting.

An Abstracted System is always simpler than the System itself. This means that Abstracting is leaving “things out”.

When the process of leaving things out is chaotic you will leave the relation between the Meta-System and the System it is about.

If this is the case the total development-process is in a mess.

To save the project or sometimes even the company you have to find all the content produced and reconstruct the genesis of the project to pick up the pieces.

When ABN and AMRO (another big Bank) were fused I was made responsible for this process.

To fuse the two banks we needed new technology (called everse-engineering) to get the meaning out of all the stored content in many sometimes very old libraries called archives.

We even needed tools to extract the meaning out of operational software without source and object in in the state of a load module.

To save the bank we even had to look worldwide for solutions and got into contact with institutions (NASA) that finally pointed back to Scientists in the Netherlands.

This started an ongoing research-relationship until today in which we develop new tools to handle the new content (pictures, movies, ,,)  available and try to reach a higher level of understanding.

An important point to note is that software-engineers especially in highly complex businesses have perhaps solved more problems than the engineers that started the field of system-engineering.  I am sure that Kent Palmer is aware of this point.

Part 4:  Kent Palmer About Meta-Systems

Kent Palmer wrote a document: The Advance of the Systems Engineering Discipline through an understanding of Meta-systems theory.

To write This part I have copied ltext out of the document but have also added pieces of my own thinking/out of my own practice.

Paths of Change (PoC) contains connected Steps that are defined by a World-View. A World is a long period of time. The steps always end at the same step. That is why PoC is called a Cycle.

A world-view is about looking in a special way or at a special direction at a scape.

As we already saw we are looking Up into the sky when we are abstracting. When we have abstracted (made things simpler) we have developed a theory.

When we apply/use the theory we are practising. Practice is about going Down until we are standing with our feed on the ground (earth).

We can also look backwards (the Beginning, Creation, History) or forwards (Future, Horizon).

Systems Engineering can be viewed as a practical discipline and Systems Theory as an academic pursuit.

A dual is a mirror of paired concepts. Theory and practice are duals.Their mirror is the reverse of a  process we call abstracting.

A Mata-System is a dual of a System but it is not necessary that the reverse-process is a mirror.

A System has an environment or ecosystem (” or a Scape) that surrounds it and which it is embedded in. This use of “meta” means beyond (or part of or connected to )  rather than above.

In this case systems can even live (or interact) in their-Scape.

Systems (in terms of theories) can even be tested in their Meta System without going from theory to practice.Perhaps practice does not need theory or practice is ahead of theory.

The only thing we have to detect is the stake we have climbed to see the horizon of the system or what is behind its horizon.

Systems Theory should learn from Systems Engineering. But there are equally many places where the reverse is true.

Systems Theory has no practical side that allows it to generate problems for the academics to solve. But on the other hand Systems Engineering lacks the theoretical foundation that will allow it to ground its practice.

It can appropriate Systems Theory but really it needs not just a Systems Theory but also the inverse of that, a Meta-systems Theory. It will take both of these to ground a robust Systems Engineering practice.

Part 5: Kent Palmer: Emergent Design: Explorations in Systems Phenomenology in Relation to Ontology, Hermeneutics and the Meta-Dialectics of Design

This is a highly complex document with a lot of discussion about subjects most engineers don’t know about. I have taken out of this document what I can use to make a point. I understand that a part of the language is too difficult.Text between “is a citation

Systems Engineering is focused on creating systems as artifacts that are used and operated, which, in turn, change the environment for newer systems that will take their place in the future“.

“These systems are created by a lengthy and involved development process that includes: Requirements Development, Architectural and Sub-system Design, Implementation, Verification, Validation, Integration, and Operation”.

Schemas are templates of pre-understanding of spacetime envelopes that we project onto our experience in order to differentiate objects of different scales in terms of their dimensionality”.

Kent Palmer is desperately trying to find a level of abstraction (a place high in  Sky) to make a distinction between all the ways objects (humans but also animals or perhaps machines) that look or are aware have an understanding of the environment they exist in.

He believes that we live in space/time which is the result of a very long  process of thinking about perspective in painting which is looking through a very small hole at a scape.

In the scape we look at objects he calls envelopes (something filled with something else). In spacetime objects have a location that possibly moves in space and a form that also moves and changes in time. humans make pictures/movies/content of the movement share/ communicate about the content and remember/imagine and make models of the content.

Space/time is a highly dynamic environment.What we make or have made is sometimes stable for some time but the process of making (“engineering”) disappears and is sometimes reconstructed (archeology“) with a lot of imagination involved.

sand desert statue pyramid
Spynx

A schema looks like a method but he calls it a template of pre-understanding.

The richness of nature comes from the variety of schematic organizations (“a ants nest”) that are being projected by different species, while the artificial creation of our human centered environments tends to blot them out and replace them with our own schematizations exclusively, which leads to a lessening of the variety of schematizations that can be realized in the overall natural environment“.

Are Ants engineers?

It looks like organisms that are very different from the human and that don’t use language are able to ceate artifacts that are highly comparable to what human engineers are making. Until now we don’t know how they are doing this.

I believe their creation is guiding them to make a new creation. They live in their own design which forces them to maintain and create old and new designs.

animal world apiary beehive bees

Kent Palmer makes a difference  between ants and humans by using the concept  of a  Shared  experience. of a lifeworld.

This concept was created by Edmund Hussler around 1936.

The ‘lifeworld is a grand theatre of objects variously arranged in space and time relative to perceiving subjects”.

A “ifeworld means a person’s subjective construction of reality, which he or she forms under the condition of his or her life circumstances“.Slide1

the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

.All experience is organized by Templates of Understanding. Once a phenomenon has been assigned a template it is possible to begin to come to terms with it by discovering its essence, the categories it belongs to, its unique characteristics, and its significance. If we reverse this process as we do when we design something new, then the schemas become the anchor of everything we design. . schemas are hidden in normal practice, because the schemas are understood as tacit knowledge.

Part 6:  About the Age of Reason and the Power of the Imagination.
Kent Palmer writes about the many  strange coincidences that happened when he was looking for patterns that could help him to extend General Systems theory.The same happened to me. It all happened when I got into an unexpected Jump Of my Kundalini.

kundalini tyoga.jpeg

This happens when (the 7th)and the down chakra (called Trumpets in the Bible) fuse.This   started a strange process of synchronicity that brought me a lot of information about the theory behind ancient knowledge.

This ancient knowledge returned to the West (Italy) at the Renaissance when the archives of the center of knowledge of the ancient world in Heliopolis (Egypt)(later  Alexandria) were found in Byzantium

Heliopolis was a Scientific center of the World a long time ago and attracted “scientists” sometimes called Magicians  (see Magi) that advised the Rulers of the World that wanted to prevent the world for a new disaster comparable to the Great Flood.

Observe that we now are living in the Age of the Waterbearer. We are now already flooded by images and texts that TAKE all our TIME.

One of the visitors of Heliopolis Plato warned for this time, the time when we lost the ability to memorize and make use of the Memory Palace we now call the Zodiac.

The most important knowledge to protect  was  the control of the Power of the Mind by the Imagination.

To block this power a counter-movement was organized out of Venice, the financial center of the world. The managers of this movement started to promote Reason as a powerful force.

They decided to use Newton as as an Example of  a briljant Scientist and started to block the thinking of Leibniz that had a lot to do with Alchemy, the Science of Ancient Egypt.

So ABove So Below: The fractal pattern of the Moebius Ring repeats itself, The Cup of the Heart is a Dual Trumpet called  Chakra in India.

This al started the Age of Reason, The Enlightment, in which the Imagination was transformed into the confusing Fantasy and the warm Emotions of the Heart became a blockage for Cold scientific thinking.

Part 7:  AboutPredicting Dreams and Consciousness

The Neuroscience of Consciousness – with Anil Seth

What is Shinto? Shinto is the Religion of Japan. In Shinto “gods” are called kami. Kami is, in essence, one of those spiritual concepts that can be found everywhere and in everything. It is a mystical property established because there is no direct difference between the material world and spiritual existence.  In shinto even machines have a spirit.

woman wearing red and white dress walking near a shinto shrine

In classical Roman religion, a genius loci (plural genii locorum) was the protective spirit of a place.

In almost every ancient religion Spirits were related to special places or special people (“saints”).

When you visit such a place many people feel the power of the place.Ancient Religious Places like the Cathedrals of the Middle Ages reused the power of the ancient places.

A good example is  Chartres which was a holy place of the Druids.

BlackMadonna

The Black Virgin of Chartres Cathedral.

The book the Third Reich of Dreams shows that people know what will happen in the Future. 

After Hitler came to power in 1933, Charlotte Beradt, a Berlin-based journalist, began to awaken night after night bathed in perspiration, teeth clenched in terror.

On one of these nights, after dreaming of being hunted “from pillar to post” by storm troopers, a new thought arrived: what if she wasn’t the only one?

What if the things that appeared in her nightmares were also being visited upon other people?

This startling thought set in motion the seeds of a research project. Beradt quietly began to query people about their dream-life. 

She found out that many people dreamed the same dreams and dreamed the concentration camps of the NAZIS long before they were invented.

When people are brought under hypnosis they can be brought back to the past (into their past lifes) and into the Future. The experiments of Helen Wambach showed that people are able to predict a shared future with a high accuracy. 

The best explanation for the fusion of Quantum Mechanics and Relativity Theory is the so called Wheeler Feynman Aborber Theory. This theory shows that it is possible to influence history in the future.

John Wheeler believes that the Universe is a Self-Observing system. Wheeler suggested that reality is created by observers and that: “no phenomenon is a real phenomenon until it is an observed phenomenon.” .

When I was a young child I found out that I was able to Read people.

When you read people you are able to see what is in their mind. 

When I was much older I met highly experienced Advisors that took a training in reading.

We experimented  with collective reading and proved that we could read an organization.

Will McWhinney organized workshops in New Mexico near Taos. We were introduced to many “new” techniques that were developed.

They were called Organizational Dreaming (OD) and Organizational Sculptures (OS).

In OD people agreed to solve a problem by sharing their dreams.

In OS one person used other people to build a balanced structure (“a sculpture“) that represented his problems/ questions.

After a signal of the Sculptor everybody makes a next step en tells the “scluptor” what came up in his or her mind.

This gave remarkable results.

Much later OC came back in the Netherlands as Opstellingen (Constellations).

aerial photography of rock formation  [/New Mexico

The concept Paranormal indicates that science does not believe what abnormal people are capable of.

Is the design of a system known before it was made?

Is it possible to ask the Domus of a City if it wants engineers to develop a new part or let designers destroy an old part?

Do you believe we did this with the City of Athens?

Acropolis

IPart 8: Is it possible to make a Whole with only Holes? Are holes also Wholes (or Holons)?.

A Holarchy

A holon is an evolving self-organizing structure.

Self-organization or Auto-catalysis or Self-Reproduction (Auto-poiesis) by sustaining the identity is one of the determinating attributes of of life.

Our complete body and mind is reproduced by millions of cooperating parts that contain millions of cooperating parts every moment we live.

The concept Holon was invented by Arthur Koester and taken over by the American Philosopher Ken Wilber.

Wilber has created his own version of Paths of Change in which he defined four types of holes/holons. One of them is the Social Hole a hiding place.

Amother is the Independent self reliant Hole (Unity) which is an Identity of its own.

Sensory Holes look like the Iris of the Eye that project the outside world onto the inside world.

The Mythic Hole is a Picture of a Hole: O.

The Aboriginal Dreamtime is about the Beginning of Time.

Creation is believed to be the work of Ancestors who travelled across a formless land, creating sacred sites and significant places of interest in their travels. In this way, “songlines” travelling trails of the Spirit Beings were established all over Australia that are comparable to the ley-lines in the West.

Around 2000 I was asked by Stephen Strong to write an introduction for his book about Aboriginal culture.

Stephen found the parts of an old Egyptian Pyramid including Hieroglyphs that describes an expedition send to Australia.

I believe there was a lot of contact between the Ancient Cultures which shows itself in many shared concepts.

Ayers Rock Australia
aboriginal dreamtime art
A picture about the Dreamtime.

What is nothing?

Nothing in terms of A-A = 0 comes from the Arabian word zfir meaning empty.

Parmenides.made a difference between space (“potential emptyness”) and the void,

In Physics the void is called a singularity.

In Indian Philosophy the void was called a Bindu (a point).

According to Lurianic Kabbalah, the first act of creation, was the Tzimtzum “self “withdrawal” of God to create an “empty space”, to create in.

. When we imagine Emptiness it becomes something.

Forms are Empty, Emptiness is Form: Heart Sutra).

In Dutch (vshowing (tonen) is called weergeven (Giving “weer”). The oppsite of imagining (Sensing) is called waar-nemen *Taking “weer”. When we sense we take something. When we look we give something (our attention).

This observation can also be found in Goethe’s Color Theory and Wittgenstein\s Remarks on Color.

Psychology : Michel Eugene Chevreul 1839.  From an article by Jude Stewart  The Wonderful C
Goethe’s Color Theory. The colors map on PoC.

How to combine combinations.

A formula that contains variables contains holes to fill.

A Tunnel is a (worm)-Hole to Connect

.
image0.jpg

If Emptness is empty and enpty is O and =>O = 0 (zero) than a lot of emptyness is still 0.

If a system contains only holes the sum of the parts is the same as the system.

When the holes are conncted the sum of the system is the same as the sum of the connections.

A system that is the sum of its connections is a network.

A network that contains holes that connect is a flow-system.

Does emptyness contain matter?.

Emptyness (the vacuum) is a fluctuating production of mattter.

The vacuum looks a lot like the mind producing thoughts when the observer is observing which is called meditation in ancient Indian science.

The Empty Set is a set with zero members. If we are able to remove members out of a set we will get sets with negative numbers of members. These are sets that are missing something (“longing” sets”).

The mathematician John Conway defined a process (a machine) that produces all the numbers there are called a Conway Game and even numbers we did no know about before he defined his process called Surreal Numbers.

Conway’s game of life the members leave the set of numbers,

A Highly Composite Number (HCN) is a positive integer with more divisors than any smaller positive integer. A HCN is a social number.

HCN were invented by Ramanujan a mathematical genius found in India who got his inspirations from Lakshmi the Goddess of Namagiri.

https://upload.wikimedia.org/wikipedia/commons/a/a6/Raja_Ravi_Varma%2C_Goddess_Lakshmi%2C_1896.jpg

The HCN are the numbers that define Harmonics . HArmonics shows that the Universe is a (Musical) Wave that produces Overtones (The Music of the Spheres.

To prevent a recurring of the Great Depression the US Government created the Institute for the Cycles lead by Edward Dewey in 1942.

Until today the Istitute researches and predicts every well known Cycle and has found the Cycle-Times of many Economic and related Cycles.

They found that the cycle-times are related to Harmonics in Music.

In ancient Indian Science the Tattvas are an aspect of Reality highly comparable to the Classical Elements and the Worldviews.

The Tattvas are the five modifications of the Great Breath a harmonic wave called the Svara..

https://upload.wikimedia.org/wikipedia/commons/0/01/Tattva_alap.png
Tatvas Blue is the Moon, in the cener the Cosmic Egg.

Part 9: ABout the Future of Engineering.

Part 10: About Cycles

When you want to predict the future you can make use of cycles.

Every cycle has a unique Cycle-Time and contains (or is part of) other cycles.

There are cycles related to the price of oil but there are also cycles that are related to a country or a Cultural Identity (“western europe”).

There are very short cycles (“Clock-Cyle of your PC) or cycles we are unable to measure.

The longest cycle of Humanity is the Cycle of the Precession of the Equinox.

This cycle was known a very long time ago and could be deduced by observing the recurring of the Pole Star.

Shaman believe that the Hole in the Sky is an entrance to another World (our Parallel Universe). They called this hole Jacobs ladder.

Jacobs ladder was implemented in a Zigurat (a Step-Tower containing 7 steps)) called the Tower of Babel.

The Seven Heavens
Dante and the Tower of Bable.

The Magi’s of Heliopolis knew about the precession-cycle and made sure that the state of Egypt was aligned to the right Star.

This star was also connected to the (secret) Horus)Name of the Pharao.

The system of measurement of space was at that time related to the measurement of time. Every piece of the pyramid represented a step in time.

Daily Time measurement was related to the Sun Cycle. The unit of measurement (foot) was all over the world the same and related to the duration of the Precession Cycle.

The Standard of Measurement of Distance was changed after the French Revolution when the unit became the metre.

The standard of Time became decimal (based on 10 hours in a day) and was measured by a mechanical device, a clock .

The major steps in the Precession Cycle were the movements of the constellations of the Zodiac.

They predicted major changes and the major changes were also implemented in society by rhe Priests.

At this moment we are moving into the Age of Aquarius related to the dominance of “flow systems” (electricity, Internet, Logistics).

flow system

A major detailed analysis can be done with the Economic Kondratiev Cycle.

This cycle with a cycle time of 52 years is divided in “Seasons” where the UP is called Summer and the Down Winter. Kondratiev Winter started at the year 2000.

When I researched the Kondratiev Cycle I discovered that there is a fifth season often called Indian Summer. or Womens Summer, Gypsy Summer, Poor mans summer or Summer of the Geese.

The Goose is a symbol of harmony.The Goose game is an old game that simulates Life.

It is the season of the Center with the “color” white where Winter (Blue) and Summer (Red) are in equilibrium.

The 2nd picture below shows the Bahktin Cycle of (Western) culture with a cycle-time 5x the Kondratiev Cycle Time (= 5×52 = 260).

Cycles always move through the same five steps. The steps carry different names but all have the same focus, tattva (Thatness), worldview, perspective or season.

In the picture below you see how cycles modulate on other cycles. What you also see is different names for the same perspectives of POC and how a Pentacle outside creates a Pentacle inside when the connectors are connected.

Cycles modulate on other cycles and modulate on other cycles etc. The Peaks (UP)and Downs of the Cycle are classified by the Worldviews of Paths of Change (See Colors)..
The Cycle of Erope based on Bahktins design based on his analysis of many “important” parts of literature. The Color of the parts of the Cycle are the Colors of Paths of Change.
PoC projected on Aarde (Earth) using Dutch words. India Geest <-> Spirit, China <-> Geheel Whole. Islam, Samen<->Together, US Red Intensit

in the Picture upside you see how Islam is triggering the US by being extremely social to the people who are part of the same tribe and much more important why China is the (new or old) center of the World.

The new center China was predicted a long time ago in the Dreams of Wolfgang Pauli (the creator of Quantum Physics QF) who were analyzed by Gustav Jung.

Pauli explained JUng that the concepts of QF where given to him by Robert Fludd an old English Alchemist who created the Theater the Globe, which was a model of the Harmonic Universe for the plays of William Shakespeare who probably was Francis Bacon who was the initiator of the Enlightment.

Robert Fludds Model of The Globe The Theater for William Shakespear (Francis Bacon) based on the Harmonic Universe of Kepler.
Atlas carries the Harmonic Universe.of Kepler.

The central set of “harmonies” was the musica universalis or “music of the spheres,” which had been studied by Pythagoras, Ptolemy and many others before Kepler; in fact, soon after publishing Harmonices Mundi, Kepler was embroiled in dispute with Robert Fludd, who had recently published his own harmonic theory.

Part 10.1: About Technology Cycles.

In this part two pictures out of a Powerpoint Presentation are added that are also part of my PDF-document about The history of the Cycles. They proved to me how powerful the theory of the cycles is.

When you know about the cycles the only thing you have to do is fill in the blanks which means mapping the classification to a terminolology/dialect people of your audience understand.

The theory becomes much more interesting when you understand that it is also possible to generate software out of the cycles.

Part 10.2 About-very-long-cycles/

A Picture of The Kondratiev Cycle Modulated on the Bahktin Culture Cycle. Interesting to see is that the Sixties were a conjunction of two phases with the same focus Creativity. In 2040 there is a “white” conjunction.on there levels!
The Technology Cycle moves from Creative technology (text, pictures, ..) to collaborative technology to a global infrastructure (white) named Global Brain.

Part 10.3. 2000 My first Reflection We are controlled by our Own Creation.

Around 2000 I was asked to write a part of a book that was created to celebrate the anniverary of SMO (Stichting Maatschappij en Onderneming), a Think Tank of the Dutch employers.

My part became a reflection of my education (mathematics) and my job (IT-manager at a big bank).

At the end I concluded that Global IT was moving into a new autonomous state.

We are not programming new systems but the systems are programming us.

Just as Frankenstein, the Old Jewish story of the golem, we are fighting our own creation of an artificial human (the Robot).

Part 10.4 About Type Theory and CLEAN:.Software is a Mathematical Function.

In 1985 I met the creators of a new Programmming Language called Clean .

Clean is called a Functional Programming (FP) language and uses a mathematical concept called a type.

FP treats all computation as the evaluation of mathematical functions.

Type theory tries to solve Russels Paradox a philosophical problem that is created when you use something that contains itself. This causes infinity regress.

Type Theory uses Lambda Calculus.

Russels Paradox also happens when you define that systems contain systems, a problem Kent Palmer tries to solve by defining a Meta-System or a Scape.

I decided to introduce CLEAN at ABN AMRO but the introduction failed for the simple reason that most of the IT-people were not mathematicians but trained in Business Administration (Bedrijfskunde).

This was a problem that the famous Dutch Computer scientist Edsger Dijkstra already forsaw in 1969.

The problem shows itself currently in the very low quality of software.

The software-body-immune-system does not work.

It becomes sick when it is attacked by software-viruses.

Clean is not called clean for nothing. It is highly reliable and immune to external attacks.

That is also the reason why FP is successful currently.

CLEAN Has many competitors now. like Erlang, Lexifi and Haskell. Read success-stories here.

Srep 10.5 : About Not-Destructable (Anti-Fragile) Ecologies

Two years ago I have tried to connect the concept of Anti-Fragility of Nassim Taleb to two theories. `

one about Ecologies named Panarchy and (2) about Social Networks (also an Ecology) described in the Relations Theory of Alan Fiske.

I used Paths of Change (PoC) as an intermediairy connecting theory.

In the end I found a well known pattern the Moebius Ring again.

Please read this blog when you want to read a comprehensive (i hope) story.

In the picture below you see three connected moebius rings (called a Panarchy-cycle) in which a PoC-cycle (Yellow-creative), (Blue, Order, (Red, Action), (green, Emotions, Value) takes place.

In every “jump” the cycle-time speeds up or slows down.

. All systems  exist and function at multiple scales of space, time and social organization, and the interactions across scales are fundamentally important in determining the dynamics of the system.

The panarchy framework connects adaptive cycles in a nested hierarchy.

There are potentially multiple connections between phases of the adaptive cycle at one level and phases at another level.

Two significant connections are labeled ‘revolt‘ and ‘remember‘.

The smaller, faster, nested levels invent, experiment and test, while the larger, slower levels stabilize and conserve accumulated memory of system dynamics.

In this way, the slower and larger levels set the conditions within which faster and smaller ones function.

Every level is organized in a four phase cycle of birth, growth and maturation, death and renewal. That cycle is the engine that periodically generates the variability and novelty upon which experimentation depends.

As a consequence of the periodic, but transient phases of destruction  and reorganization the structure and processes can be reorganized.

This reshuffling allows for the establishment of new system configurations and opportunities for the incorporation of exotic and entirely novel entrants into the system.

 The adaptive cycle explicitly introduces mutations and rearrangements as a periodic process within each hierarchical level in a way that partially isolates the resulting experiments, reducing the risk to the integrity of the whole structure.

The theory of Panarchy is a result of long during intensive research by Holling and Gunderson.

Panarchy is based on researching the practice of a natural ecology but because we, humans, are also part of nature (which we often forget)the theory is also applicable to us.

What you see is that we (humans) often revolt (for instance by starting a big fire) and dont believe that the total ecology (including us) moves to a very dangerous state and becomes highly unstable.

What we also dont see is that many ecologies are resilient and move back (“remember“) to an old state (nature restores itself) we dont like because we want to build a lot of stone houses and roads all connecting the houses creating a big city which acts like a big organism.

What we don’t understand is that we are often saved by the bell by the forces of nature.

What we also dont see is that we want to fight nature because we believe that we (engineers) are able to create our own nature.

The big problem is that most engineers don’t take the time to understand nature and that we could accomplish a lot by copying her (is nature a female?).

If you want to be in tune with nature entrain with nature.

To understand what entrain means move to the next step of this part.

Panarchy. Model works on 3 levels of abstraction. The colors are related to PoC. .
Panachy in 3D. The cycle is a Moebius Ring floating in 3D Space where 3 lines (variables) coordinate called connectedness ( Social in PoC), Resilience, a result of two worldviews Mythic(an Event, Idea) and Unity (patterns) and Weath (Values).
Idea Adaptability
The Product Panarchy Cycle.

The interesting part of the Theory of Fiske is that its model looks like Paths of Change and mathematicians have found a relationship between this model and the mathematical theory of scales (“a staircase”) we use to measure our outside world.

The model of Paths of Change (PoC) is with the usual colors is mapped on a spiral. and related to four community-types.

Fiske detected that we measure (“feel“, with our emotions) our social relations with the same tools we measure our outside world we “see” with our senses.

The Human Relations Model of ALan Fiske with PoC colors.
The Hierarchy of Scales
The Scales of Measurement map to the Relationship-types.

Each of the elementary models resembles one of  the classic scale types from measurement theory. 

Communal Sharing resembles a nominal scale.  A nominal scale is classifying things into categories.

Authority Ranking resembles an ordinal scale in which items are ranked.  

Equality Matching resembles an interval scale insofar as one can measure the degree of inequality in a social relationship using equal intervals so as to judge how to correct the imbalance. 

It is by use of such a scale that people in an Equality Matching interaction can specify how much one person owes another. 

However, an interval scale cannot be used to express a ratio because it has no absolute zero point. 

For example, the zero point on the Celsius scale is not absolute so one cannot say that 20 degrees is twice as warm as 10 degrees while on a Kelvin scale because the zero point is absolute one can express ratios. 

Given that Market Pricing is the application of ratios to social interactions, it resembles a ratio scale such as the Kelvin scale. 

One cannot, for example, meaningfully speak of the maximization of utility without presupposing some sort of ratio scale for measuring utility.  Maximization would correspond to 100 percent.

Part 10.6 About Black Swans and Dragon Kings.

Below you see what happens when a major event (‘A Black Swan“) hits a community (or an Eccology).

When the event is not too big the ecology resists the event and stays the same.

An example could be a Dike to resist a flood.

When the ecology is resilient it returns to its old state.

It is also possible that the parts of the ecology (mostly organisms) make a new combination and perform the same process in a different order.

In the last case a completely new combination appears that gives us (the humans) the impression that the ecommubity has innovated.

THis a Powerpoint that contains the Ant-fragile-model trtranslated in PoC (see colors). What is anti-fragile? It is a jump out of a Moebius-pattern where the Fusion takes place of many divers parts comparable to the creation of the multi-cellar organisms for example the Sponge. The pattern is a Moeibius Ring and starts with Green (Social Community) to Blue (Order) and tries to find balance. Read the Blog about Anti-Fragility and you will see how this picture maps to Panarchy and the Model of Fiske.
seasponge
Sponge

Part 10.7 About Synchronization

During my research I detected the work of Didier SOnnete .

Didier found a special type of an Event Taleb calls a Black Swan, a rare and unpredictable outlier event. Didier calls these events Dragon Kings.

Dragon Kings are a result of ynchronization.

Synchronization happens between humans (and animals) when they are focused on the same event.

Humans synchronize when they look at the same event.

When people syschronize they copy their behavior, become the same, and create a hype.

Will McWhinney used the theory of sychronisation he called coupling to write a new book after Paths of Change he called Grammars of Engagement.

Synchronization explains Human Rituals.

When humans take part of rituals they accumulate energy and produce a special sound Randall Collins calls the hum of solidarity.

Interesting point is that this energy stays for seven days (a week) when the ritual starts at the day of Saturn .

Saturn is a center that is surrounded by a ring containing many similar parts.

Have a look below and observe that the Kaaba also called the Cube of Space circulated by many synchronized humans looks like Saturn.

crowd
The Kaaba is the Kube of Space dedicated to Saturn..
RUSSIA-EASTER
Rituals generate an energy that lasts for seven days.

.

Big events like the Big Bang trigger 3 types of systems Spiral (evolition) , Organism /Atopietic) and Dualistic (Order, Chaos).

Part 11: Why Industries are Meta-Systems.

The paper in the link contains the argument that the building construction industry acts as a meta-industry., an ‘industry of industries,’ .

In this part you will see that this meta-industry is really a part of nature that is consuming a lot of nature we call an eology..

The building industry needs a lot of nature, “space” and natural resources to create arficial holes with boundaries (“caves”) to live in.

Houses protect the body but are also a body.

A city is a system that contains connected houses (bodies that are holes connected to holes) that are connected by roads (Transport tubes, lungs). A city looks like an organism. It is a super organism or even better a meta organism.

Is an engineer like the Ant in part 4?

A city is a flow system. Our Lungs are a Flow System.

A River Delta is a Flow System.

Cities grow like organisms. Organisms consume other organisms,

Are engineers who are participating in the building industry participating in the growth of the system or are they in control?.

Remember that I stated the same theory when I wrote about the Software Industry (and hardware is software) in Chapter 10.

Are we in control of Ahriman?

The city of Paris is a flow System.
Flow Systems that move from one  to many always look like a leaf or a tree
Our lungs look like a River Delta.

The energy consumption of organism and the super-organisms including the cities follow the law of kleiber.

Kleiber's law
The law of Kleiber

By 2030, over 60% of the world’s population – nearly five billion people – will be living in an urban area.

between the year 2000 and 2030 new construction (infrastructure as well as building) will double all existing construction.

IPCC predicts that $20T will be spent in energy infrastructure from 2006 to 2030.

This new construction is fueling an unprecedented increase of infrastructure especially in energy generation to support and maintain the new growth.

This additional capacity to generate energy is adding to emissions directly through construction and indirectly through an increase in transportation, and most importantly in affluence with its unbounded consumption patterns.

mexico-city
MexicoCity.

Furthermore, substantial construction will be needed in order to replace what is destroyed or abandoned due to the consequences of world climate change.

Part 12.0 About Innovation and Creativity.

This is a thesis by Roni Horowitz called Creative Problem Solving in Engineering.

Roni created an inovation of TRIZ called ASIT.

ASIT is about transforming the Box people use when they want to think Out of the Box.

ASIT generates the right tension to push the mind to fuse the contradiction a problem represents.

TRIZ was created by the Russian researcher Genrich Altshuller in 1946. He researched patents and found that every innovation solves a specific Contradiction.

TRIZ makes it possible to reuse an innovative solution in a different problem.

TRIZ Connects Contradictions which is a contradiction by itself.

The Thesis of Roni Horowitz contains a lot of historical material about the science of Creativity and Engineering.

It shows that the best way to innovate is Stepwise Improvement until the process completely fails.

When you fail you are open to the story of people who succeeded after a failure.

Roger Shank calls this approach Case=Based-Reasoning.

I found Roger when I was asked by the Dutch Ministry of Education to search for a new approach.

I came back with a plan to produce educatiobal games and found the people who were able to make these games. .

At that time Roger was the founder of the Institute for the Learning Sciences in Chicago. I introduced him to people in the Netherlands. We got funding to build an educaional game based on life stories connected to Addiction.

The science of creativity started when the ex nihilo problem (creating (something out of nothing) was replaced by a proces of tranformation from something into something.

Creative ideas do not come into being out of nothing, but involve the restructuring of known elements.

creativity first seen as a rule-breaker that could not be part of a rule-making practice called science became a process of divine Inspiration that appeared when the scientist was Dreaming (or in Trance) the result of an unknown-part that was already known called the consciousness being an activity of the observer.

The Evolution Theory of Darwin made scientists recognize that complex, highly esthetic and efficient creations can result from relatively Simple Rule-Governed Mechanisms.

This helped freeing researchers from the need to resort to God as a necessary condition for the Act of Creation.

Creation happens when the two parts of a contradiction (called a Bisociation by Koestler) Fuse and produce Positive energy (enthusiasm, enjoyment, originally used as “possesed by a God, probably the Holy Ghost, Spirit, Inspired) .

Gilles Fauconnier & Mark Turner (The Way We Think) called the principle of “bisociation” Conceptual Blending.

The disjunct parts are conneced by an Analogy (something looks like something else) or a Metaphor(mapping, function).

George Lakoff detected that most of the Culture-Independent metaphors are embodied.

They are felt by the felt-sense an Inner Bodily Awareness discovered by Eugene Gendlin that can be used to detect the change that is needed by the Human.Body to keep its state of Autopoiesis (Self-Reproduction)

Thomas Kuhn defined the concept of the paradigm a long lasting Stable Pattern that is used as a foundation of science.

Paradigms change suddenly (a Shift) mostly because of an Event(a Catastrophe).

This shift can be predicted by the Cycles (see Chapter 10). and the theory of Self-organized-criticallity. which uses the mtaphor of the sandpile.

Ideas/Concepts jump over like a virus from Person to Person. The jump occors when people are copying others.Copying occurs when people synchronize.

A jumping idea is called a Meme (invented by Richard Dawkins (RD) based on the concept of a gene (RD wrote the book the Selfish Gene). The concept of the meme is taken over in Internet Marketing

Innovation is always the result of a new combination of old ideas.

According to Leibniz the most important part of science is the mathematical Art of combination called combinatorics.

Frontpiece of the Art of Combination by Leibniz.

Part 13:00 About the Philosophy of Technology.

The Link with the Title Cybernetics for the 21st Century.lcontains an interview with the Hong Kong Philosopher Yuk Hui who is trying to solve the same puzzle Kent Palmer is trying to solve.

Yuk Huy researches recursivity (“fracrals, see pictures below) and is trying to find a new place for Chinese Philosophy.

Yuk Huy is like Kent Palmer interested in Heidegger the creator of Phenomenology, (see chapter 5).

Heidegger believed that technology changes the Greek way of ‘helping something to come into being’ to‘forcing something into being.

Technology is comparable to child-birth and therefore starts with the conception of an idea (concept) which is a fusion of a fe-male egg and a male seed bing a contradiction.

Technology reveals the world as raw material with the danger that , humans will also interpret themselves as raw materials (“human resources”) and become enslaved to their own tools.

Borgmann shows that technology replaces experiences such as milking of a cow, the search for and burning of wood by a device, a heating machine controlled by a service interface that makes it possible to control an invisible mechanistic infrastructure that has replaced an “organistic” world.

The expirience of building a fireplace filled with wood that is collected in the wood transforms in a thermometer that controls a heater that is connected to a tube that produces gas that is connected to a gasfield that is made by drilling in the ground etc etc.

Killing a human is done by a soldier who believes he/she is playing a computer game but is in reality is operating a drone.

According to Borgmann Our Current Technology is transforming Reality into Virtual Reality.

Part 14:0 About Cybernetics, the science of feedback,

Heidegger called Cybernetics the successor of philosophy.

Cybernetics comes from the Greek cybernḗtēs “steersman, governor, pilot,

Cybernetics, the Art of Steering is about having a Goal (Unity in PoC) and taking Action (Sensory) to achieve that goal. Knowing (Sensing) whether you have reached your goal (Evaluate/Social)requires “feedback

Teedback can be divided in positive (amplifies change) and negative feedback (reduces change)..

Cybernetics was started by a group of scientists that were interested in intelligent control systems like the brain (Ashby), the body (Biology Bertalanfy)_ Machines (Wiener) and. economic systems (Forrester, System Dynamics, World Simulations).

Cybernetics, the Art of Steering, moved from its first order (machines, circular causal processes) to the second order (living systems, observer, self reproducing (autopoietic) ) to the thirth order (social systems). and even a fourth order. in which “thinking(cognitive) -machines” (Artificial Intelligence) are introduced.

Cybernetics has a lot in common with the work of Escher.The art of Escher represents a model of the Universe later developed by Roger Pensose. The same model can also be found Islamic Art.

Every step in cybernetic order increases the complexity (amount of parts (wholes) relations and types of connections) of the system and makes the system less understandable although the system appears (emergence) as a whole.

Molecular Machines.operate in the Body.

In the end Cybernetics is the science of machines although the machines, could be build by humans, collaborate with humans work in our human body or even look like Gods.

A Viable System is a Recursive Cybernetic System that copies the Human Being.

Loopings, Recursive Systems.
The Viable Systems Model

The Viable Systems Model. Modeelling with the Viable System Model.

The Brain as  the Meta-System of a Viable System
The Brain/Body as a Viable System.

Chapter 15.0 About ART. and Meta-ART.

on Cassirer’s Philosophy of Symbolic Forms

Symbolic Forms can be seen in Myths Metaphor and (Abstract (Science & Mathematics) ) Symbols and Concepts and are a part of Art and Science. Ernst Cassirer shares his theories with Joseph Campbell (the Monomyth) and Carl Jung.(Archetypes).

JUngs pupil von Franz wrote about the symbols behind Numbers. Nunez & Lakoff wrote about the Metaphors behind Mathematics.

The Egyptian (and other) Gods represented Concepts. just as the Angels in the Hierarchy of Heavens.

Art is a representation of “reality”. To make the right impression on the right senses (ye, ear, skin, ..) all kinds of techniques (for instance colored points to generate a picture) are used rhat changed in time.

Art was called Techne in Greece. Techne means Craft. Art was called Fine Art being the art developed primarily for aesthetics or beauty,

At the End of Art the artists believed that the only aesthetic Artwork is created by Nature itself or by Coincedence ).

Marcel Duchamp believed that “The Observer Makes the Picture. Duchamps made an end to Fine Art and started other ways to Make something called Meta-Art.

Meta-Art generates possibilities (sometimes made by an algorithm) and makes it possible for the spectator to choose or to guide the process of design to another stage of a needed evolution.

Meta Art was introduced to me by Remco Scha, a friend of Eric Vreedenburgh.

Remco developed an Art Generator that was able to generate all kinds of Styles.

The generator was connected to a configurator that was able to generate possible building-designs.

I used Meta-Art to develop a new Strategy for ABN AMRO.

In this process we used the metaphor of the Medieval City to create a new Architecture based on the idea that every New system is a potential Legacy System.

What we found out is that the Context of the surrounding old systems determines the architecture of the new systems.

The many different architectures in an old city force an architect to create, to copy or to fuse.

The focus on the View of the Observer was the cause of Relativity-theory.

De Leuze The Logic of Sense. About Contradicting Contradictions.

Propositions,  can be related to the Objects to which they Refer, the Subjects who Utter them, or to Other Propositions. The Theory of the Proposition is Caught in a Circle of Connections. Propositions Make Sense of an Event called a Fact that are a Sense-Act of an Individual translated in a Speech-ACt.  Sense is Produced out of Elements that do not have a Sense.Is Life a Joke?

Interaction Ritual Erving Goffman.

Erving Goffman was the Perfect Observer who found out Why and How People are Framed and How we Deceive Our Selves .

Erving Gffman About the Tole we PLay.

The Speed of the Moving View of the Observer being the Speed of Light became the Limit of Speed just as the Limit of Temperature (0 degree Kelvin) became the limit of movement being the door to the Nothing now called the vacuum. Perfect Stilness, Just the hissing sound of the popping up Virtual Particles.

Synestetic Art

At the Royal Academy I was asked to participate in a project aimed at recreating Synestetic (multi-sensory) Art. Many artists at the Turn of the Century (Edvard Munch, Piet Mondriaan, Paul Klee, René Magritte, Vincent van Gogh), participated in the experiments at that time.

mondriaan
Mondriaan tried to combine Music (JAZZ) and Painting. This painting contains an improvisation in patterns of color and form.
16:0 About Webs.

DNA contains the code for a configurator of orgamisms. The Human DNA has a lot in common with the DNA of Trees.

Research shows that Trees communicate with otherTtrees and humans (using pheromones) using a network called a Rhizome.

Trees are a symbol of a Hierarchic structure moving UP connected to a Network (Web) going Down.
Editing DNA looks like changing a Software-Program without Testing the Program for its Long-Term Effects.
The Wood-Wide-Web: shows how Trees communicate:

In a Thousand Plateaus of Deleuze and Guatari the rhizome is a metaphor for a body being an assemblage of machines producing desire that organize themselves in non-hierarchical communication and transport network in which each connection leads to another connection.

The First Programmable Device was the Jacquard Loom which could be programmed with punched cards to produce Patterns in Cloth (a Wearable Web) being Woven by Machines.

The World-Wide-Web started as a telecomunication-Network of computers is a result of a Technological Solution to prevent a fallout of the world-wide-communicationnetwork by a big catastrophe (Nuclear-Bomb). Every message is able to reach its destination.

The Citation-list connected to a Scientific Document was mapped by Tim Berners Lee to this Network and became a Semantic network that slowly grows into a Gobal Brain.

Fritjof Capra The Web of Life: To create a theory of living Systems one has to fuse the organic the inorganic, the living the nonliving, mind and matter.

Life is a Connected Patterned process. Life is a Flow of Energy From High (Sun) to Low (organism).

Fritsjof Capra The Web of Life
Leaonard Suskind Why the World is a Hologram.

When you Eliminate everything that is impossible the truth remains.

Leaonard Suskind, a theoretical hysicist, explains how a Volume of Space can be Projected on a lower-dimensional Boundary (A Wall).

Two moving Observers are communicating while one of them moves into a Blackhole and moves too fast for Communication to take place but Information is nNEVER destroyed in our Universe.

Where is the communication stored? in the 2 Dimensional Boundary We Live in.

Physics is a Thought Experiment in which Boundaries are Crossed.

Spiders web

Part 17:0: About Mathematics

Mathematics is about Changing a Perspective on Patterns.

Norman Wildberger A Briljant Teacher of Mathematics:

The History of Mathematics.

When I finished High School in 1969 I started with a new Combination (named S4) of a Master in Chemistry, Physics and Mathematics in combination with an intensive laboratory training. At that time I did not know that S4 was created to select scientists for Shell Labs in Amsterdam.

To me Chemistry was a CookBook and Mathematics was an Experience of Beauty caused by an Act of Pure Imagination (Seeing).

I decided to go on with Mathematics (and Informatics) and followed every Course I could and had to follow including Philosophy, Signal Theory (in Delft) Numerical Mathematics, Combinatorics, and Psychology (to become a teacher). I became fascinated by Topology. and Language Theory (Chomsky, Compilers).

One of the interesting Combinations of Philosophy and Mathematics was Brouwer. He created a theory called Intuitionistic logic.

Brouwer based his insights on Buddism just like his follower Henk Barendregt.

Brouwer was part of a group of Artists and Scientists including Mondriaan who lived in a Community in the city of Laren based on the book of Walden by David Thoreau.

De hut ‘Vredewacht’, Schapendrift 82 in Blaricum. In 1915 gebouwd door architect Ru Mauve voor Betsy van Hoogstraten, ooit een geliefde van de schrijver Frederik van Eeden Blaricum, 29-05-09. "Hut" aan de Schapendrift 82. Verhaal stichting Dooyenwaard. Foto Leo van Velzen NrcHb.
The house of BrouwerVredewacht” (Waiting for Peace”) . close to the “Hut” of Mondriaan.

Brouwer did not believe in reasoning. He believed that a mathematics that is based on proof will lead to paradox

Brouwer did also not believe in Infinity and the law of the excluded-middle. This law uses Negation and Negation of something that does not exist does not exist.

Brouwer wanted to combine Life, Art, and Mysticism (the title of his dissertation).

At this moment Brouwer is seen as a highly Infuential mathematician.

Many new developments in Science including the Meta-lanuage theory of George Lakoff share the same insight.

When Brouwer became a Professor in Amsterdam and a wel-known Name he got into conflict with the Magister of Mathematics at that time David Hilbert. Hilbert defined a list of 23 unsolved problems in 1900. There are still two problems left that are probably unresolvable.

This video shows that it is possible to solve a highly complex problem by Detecting the Pattern in the process of Solving the problem when the complexity is increased.

Felix Klein defined a comparable list in the so called Erlangen Program in 1872.

The Erlangen Program of Klein Simplified by introducing a different View.
Douglas Hofstadter, Godel Escher BAch, I am a Strange Loop, talks about Spirital Machines.

Brouwer started the subject of meta-mathematics that ended with the Self-Refencial proof of Godel that shows that Mathematics is unable to look in its own Mirror. The only thing that is left as a Foundation is PARADOX.

We are Caught in our own Consciousness. The only question is who are We or will be the Others. Are they Gods or Machines of our own Making.

About the Mathematics of PARADOX
About Nominalisation.
About Schema’s made by DEMO

Category Theory was invented by S. Eilenberg and S. MacLane in 1945, with the aim of giving a precise, mathematical formulation of the idea of a “Natural Correspondence“.

Eugenia Cheng: Category Theory for Art Students.

Category Theory contains Objects (Noun), and Functors (Verb, Mapping, Function). The nouns live in an Abstract Conceptual World , a Platonic World of `Forms, a Mental and a Physical World. Nouns are fixated (stopped) verbs (a movie) created by nominalising the name of the verb. (A noun is a Verbing).

A short Seminar about Category Theory related to Topos Theory.

In Category Theory Functions are Mathematical Theories.

Jacob Lurie About Shapes (Topology) and
Transformations of Shapes (Homotopy)
The Universe Speaks in Numbers
About Controlling a Car and foof Theory.

Part 18.0 : Kent Palmer, Schematization and Non Dual Science

ABout The Perfect forms of Plato .

Protogoras, an early Greek Philosopher, was a teacher of culture (how to Speak and Reason). Protagoras’ss claim is that, “All Things is the Measure of Man meaning that everything is relative to Individual Experience, Judgement, and Interpretation.

According to Plato behind Man there is a World of Forms (abstract Ideas connected to the Mind) that contain the Essence. What we Experience is a Projection of the Forms.

PLato was a promotor of Mathematics and especially Geometry. PLato was also, linked to Pythagoras, an expert in Number Theory.

Aristotle, a pupil of Plato, believed that the only thing that is real, is Matter the Material cause we exprience as Resistance.He also created a Theory (“a Formal Cause) about Causality. By questioning the Cause behind the cause (“a Process“) until Infinity the Primal Agent (Primal Cause), “God” was found.

According to Immanuel Kant the Projection between tReality and The Concepts of the Mind has to be Reasonable (Possible Neccesary Provable (According to the Rules of Logic), Understandable.

According to Heidegger we are only able to understand an outside world with a Mind that is part of a Body that gives us a Reference-Frame. This started the Scientific movement called Embodiment we already saw in the work of the Mathematician Brouwer (Intuitive Logic) the Linguist Lakoff (Metaphors) and the Psychologist Gendlin (Felt Sense).

According to Merleau Ponty we are Entangled with our Twin the Outside World unable to Cut us loose.

According to Samual Todes Our Senses look with Predefined Concepts in Mind. We See what we Want to See. Sometimes we See and don’t understand. When we explore we try to find a favorable Point of View. Sometimes we have to get a better Grip to examine the Object.Sometimes we have to Move (Movement = Emotion, Motivation) to come Closer and see the Details.

When we encounter a particular Object we Classify it with a Familiar Concept (“Looks Like a Chair This is the way of Kant) or we Point at the Object and Utter a Familiar Sound (“Sitting“?).

According to Micheal Taussig Humans are just like Animals experts in copying (Mimesis). Our Aeroplanes look like Birds. We make Pictures and Paintings. We Play with Models of Trains We love to ware the Cloth of Kings and Magisters and want to Look Like a Famous Person. . The Copies are always Inferiror to the Original but also give us the opportunity to Imagine something much Better.

truth” is not a matter of Correspondence, but rather of Coherence.

The School of Athens (Rafael) shows that Plato (Left Pointing UP) and Aristotle (Right, Pointing Down) refer to two Opposing Worlds, the World of the Mind, Forms, Ideas, Concepts) and the World of the Senses (Matter) both connected to a Body.

The French Philosopher Gilles Deleuze is not interested in a Uniform Theory of Everything but in Diffrence in itself. What Lmits are there and What can we Do with all the different Theories Concepts en Experiences. We have to Prevent Repetition of the Same.

The Verification of Science is highly dependent on Technology.

Engineers and Scientists have created many Material Things (Cars, Roads, Trains Weapons, Earoplanes, Electicity, Plastcs) that are polluting or destroying Nature.

The main reason is that Engineers don’t take the Meta-System (Ecology, Context) of their Creation into account.

To find out that is behind/inside Nature we Destroy Nature by Opening the Body (Whole to see the Organs (Parts)), Smashing Particles (CERN, Whole) to find smaller Elementary Particles (Part). Every Time we Dig Deeper or look Higher the same Patterns appear (See Introduction, Fractals).

Part 19: Magic is a Technology.

Part 19.0 : Stephen Skinner: About Egyptian Magic He shows you how to get into a fruitful relationship with high and low Spirits.
About Ecology and the Paranormal. How Spirits of Nature Comunicate with us.
About PAranomal Research for the US Army.

When I was a young boy ghosts appeared in my room. When I was a student many of my friends experimented with a Qui/Ja-board and talked with deceased people who explained many things we could verify in the archives of the City of Leiden. When my Kundaliny was risen I met many “gods” who came in my room. One of them was a beautiful (black) Women (ISIS?). I “helped” the people of OKRA to get in contact with the Spirit of Athens. To me ESP has ben very real and it was a major Drive to Research Physics, Mathematics, Ancient Belief Systems. It also gave the opportunity to meet comparable people all over the World. I also read a lot of books written by Channels like Seth(Jane Roberts) and The Law of One, (the Ra Material) that explain the many Levels off Existence.

Part 20: About RhetoRics and Music.

About Music and Rhetorics.

Rhethorics is the Science of Persuation that was mapped to Music in the Baroque. encouraged by the Catholic Church as a means to cCounter the Simplicity and Austerity of Protestant Architecture, Art and Music.

Rhetorics provides heuristics for understanding, discovering, and developing arguments for Aristotle’s three Persuasive audience appeals: logos, Pathos, and Ethos.

Rhethorics was a major part of the Curriculum of the Medieval University.

liberal arts
The Curriculum of the Medieval University was based on theModel of the Universe of that time.

An important part of Rhetorics was the Art of Memory in which the Memory was connected to training of the Imagination by remembering a Memory Palace. The Art of Memory was a (secret) training in Magic. When this was discovered the trainee was Burned by the Inquisition.

Part 21: ABout Architecture.

Christopher Alexander: About Patterns in the Architecture of Building Applied to (Software) Patterns in Computer Systems. What is the contribution of Software to the Quality of Life.
Image result for quality without a name"

Quality Without a Name.

in his Book The Timeless Way of Building Christopher Alexander’ introduced the “Quality Without a Name.Whether it is in a poem, or a man, or a building full of people, or in a forest, or a city, everything that matters stems from it.  It embodies everything.Yet still this quality cannot be named

Until the rise of the Specialized Architects Architecture was controlled by a Culture controlled concept of Quality and Crafmanschip.

The Builders of the Cathedrals knew how to build (and design) Cathedrals from a Tradition that was handed over from Father to Sun.

The Cathedrals were Memory Palaces that contained all the Wisdom of thousands of years projected on a Geometric Structure with an “index” in the form of a Spiral in the aligned to the setting of the Sun , the Moon and the Galaxy placed on a Cross of Leylines.

Every Point in the spiral pointed to a Story in Stone and Glass.

Spirals in Chathedrals points to windows that contain the appropriate Wisdom Story

In the Nature of Order Alexander writes about Centers. “those particular identified sets, or systems, which Appear within the Larger Whole abecause they have noticeable distinctness, which makes them Separate Out from their Surroundings“. Life is created by small, Incremental changes that Preserve Structure.

In the Luminous Ground Alexander breaks away from the Mechanical Model were buildings or neighborhoods are Assemblages of technically generated, Interchangeable Parts.

He shows that a spiritual, emotional, and personal basis must underlie every Act of Building or Making.

Quality is also the subject of a Book of Robert Pirsig (1974) Zen and the Art of Motorcycle Maintenance. Pirsig was a teacher of Rheorics.

Robert Pirsig was convinced that Quality and Quantum Mechanics are the same issue. He wrote a second book (Lila)) about it and called this type of Quality “Dynamic Quality. Quality is Constrained by the Intellect (Theory) and Social Patterns (Culture) and Bubles Up out of the Vacuum.

Dynamic Quality of Robert Pirsig.

Will be continued. Have a look Here.

Part 22: Conclusion (in development)

Part 23.0 LINKS

Construction of the Mind.

Why Life exists

ABout Ratio and Magnitude,

About the Battle between Leibniz & Newton

About the Renaissance

About Alchemy

About Heliopolis

About Good Vibrations

About The Indian Science of the Tatvas

About the Roots of Artificial Intelligence

Decoded Secrets of the Mankind’s Prohibited and Forgotten History

About the Precession Cycle

About the Kondratiev Cycle

About Megatiths

History of Writing Systems

Kent Palmer : About the EUropean Dreamtime of Technology

The end: The Book-keeping of this post.

In version 2.4 I have moved all the book-keeping of this post to the end of this post.

.In version 2.3 I have finished Part 12.0, 13.0 en 14.0.

In version 2.2.. I have added Part 12.0 about Innovation and Creativity. Today (20-9-2019) I have opened Part 13.0 About the Philosophy of Technology, Part 14.0 About Cybernetics and Part 15:0 About Meta(-Art.) .

Until part Part 1 this blog contains information that shows you the history of this blog. The blog starts at START BLOG.

I have started version 2.0 by completing a major part which is a comprehensive (with many links ) summary of a blog about anti-fragility. This part I called step 10.2.

In this part you learn about a very important theory about ecologies called Panarchy. I combine this stheory with the work of Alan Fiske about Human Ecologies. The most interesting part is the link of the theory of Alan Fiske with measurement theory.

We measure our relationships with our feelings and our relationships are ordered with the same model Paths of Change (PoC) uses.

PoC is a theory that is thousands of years old.

What is ANTI_FRAGILITY

Out of the Blog about Anti-Fragility also called Resilient, /Robust or even Undestructable I have used a part about entrainment which gives an explanation why processes and humans start to act the same (sychronize) ,

When Humans entrain they cause Hypes or bigger problems like a Depression. Currently a lot of people entrain on becoming rich.

Being rich is an addiction.

Entrainment was detected by an old Dutch Scientist Christiaan Huygens.

Today (14-9-2019), starting with version 2.0 I will spend time to complete Part 11: Why Industries are Meta-Systems.In this part I reuse the blog Why are Cities Organisms which is an application of the Law of Kleiber What I will prove is that Meta-Industries are the cause of the destruction of Earth and that Engineers have to become Ecology-Managers.

About the Foundations of Medicine

Medicine is the science and practice of establishing the diagnosis, prognosis, treatment, and prevention of disease. Medicine is about the quality of life.

This blog is about the foundations of medicine.

When you look at the facts you will see that current  Medical Science is realizing the vision of  the Rockefeller Foundation to take over control of Evolution to create a Super Human.

Many people are totally not aware of this and believe we are part of a spectacular rise of science that will not only Cure all diseases but will also make it possible to choose for an Optimized Body, an Optimized Brain connected to a Super Computer and Immortality.

We will be Gods with the Gods.

The History of Western Medicine starts with the creation of the Hospital by the Church of Rome.  At that time taking care of the sick was part of the Seven Acts of Mercy.

When the Church lost its wealth, the responsibility for the poor sick in  the hospitals was given  to the Merchants of the big Cities who started to Make Money out of Medicine.From that time on Medicine was Big Business.

The hospital at that time looked like a church.

Research in medicine started when it was allowed to Open the Body and examine all the parts.

Chinese medicine became holistic because it was not only Forbidden to open the body but also to touch the body only at the Pulse.

The practical treatment of disease was given to the (Guild of) the Barbers who even made use of acupuncture. Later the Apothecary took over a part of the job because of their knowledge of herbs and medicine preparation.

In the 18th century medicine started to treat Mental Health and created a Split between Brain and Body. Currently we know that mental problems can be caused by bodily problems and that the Imagination is capable to imagine an illness.

Because of Quantum Mechanics we now know that our material reality is a product of our mental imagination. This is called the Placebo-effect.

Western Medicine took a big step when new tools where invented to support diagnosis. Many doctors started to specialize in a  pavillion part of a new type of hospital. Later the many pavillions where joined into a big building that had to move up to use the available space. When Medicine went up it became an abstract theory without a relation to life.

We are now moving to Smart Medicine. In smart Medicine data about the body  is sensed with specialized sensors. The collective data is analyzed  with advanced statistical methods to find general patterns.

The big problem is that you See is what you Get. We measure what we Want to see so the sensors imply a certain disease and a disease is a measurable Distortion of the pattern we suppose is taking place.

Medicine is Creating its own diseases and pharmacy is treating the diseases we measure. This does not mean that the cured patient is balanced and in a good humores,

The new Hospital wil become a Call Centre and the Patient is treated at Home by a Programmed (controlled by protocols) Human.

The personal data is correlated with the collective patterns to find personal patterns and personalized solutions.

Until now these solutions are of a chemical nature (“pills”). In the future the new “pills” will be “Waves“.

To interpret the collective patterns we need a Shared Foundation.

This foundation is now mostly based on ChEmical theories with life as an interaction (“reaction-chain”)  between molecules as parts with the computer-program DNA in the center.

A body is NOT a complex Chemical Factory. the Mind is NOT a Computer (“Operating System“). The Brain (‘Up”) controls the Body (“Down”).

In the future Quantum Mechanics will be the new foundation. The  Standing Wave pattern of the Body, the Biofield, will show the instabilities of the body . This field will be stabilized (“healed”) with complementary wave patterns. Medicine will be based on =resonance.

Quantum Mechanics also explains Homeopathie.

In the future we will see a move from (bio)Bio-Chemistry to (Bio)Physics.

This  blog contains parts of two documents of the website of Marco Bischof.  Marco is one of the leading scholars in the field of  holistic medicine in the German speaking world. Both documents written by Marco are about Biophysics.

The most important Part (2) of this blog   is about the (Bio)Field.

It is possible to read Part 2 without reading Part 1.

Part 3 is about a possible mathematical foundation of Medicine called Global Scaling. Clobal Scaling is based on waves, fractals and continued fractions that explain harmonics.

Part 1 About the History of Biophysics.

From 1950 to 1970 biophysics developed faster than in the 100 years before. While in 1944, when the first volume of Otto Glasser’s „Medical Physics“was published, in the USA the number of workers in the field counted not more than 200, in 1950, when volume II appeared, about 200 institutes or departments were devoted to biophysics. At the same time the scope of the field also greatly expanded. Glasser’s handbook still remains one of the most complete treatments of the full range of biophysical investigations;

However, in the same period of the 1950’s molecular biology experienced its breakthrough with Watson and Crick’s 1953 model of DNA. The first phase of its development (1930-1950) which included the acceptance of the existence of macromolecules, the use of x-ray diffraction analysis (started by Bernal in 1934) for determining molecular structures and the development of extraction methods that avoided degrading of molecules, was characterized by a relatively broad definition of the subject.

The term „molecular biology“ was first used by Warren Weaver in 1938 to describe a grant programme by the Rockefeller Foundation promoting „experimental“ or „physiochemical“ biology. He claimed this was a new branch of science in which modern tools were „reaching deeper and deeper into the living organism“. The program was supported by such people as W.T.Astbury, who was the first to describe himself as a molecular biologist,

Schroedinger’s little book What is life ? (1944), in which he took up Delbrueck’s idea that the gene could be a molecular structure (Schroedinger called it an „aperiodic crystal“), played an important role in the beginnings of molecular biology. The book inspired many physicists after the war to go into biology.

Delbrueck’s idea originally came from Niels Bohr: it concerned the question if not maybe certain aspects of the life of a cell, such as self-replication, could only be explained by a new kind of natural law still to be discovered,

THis natural law was transformed in the principle of autocatalysis detected by Stuart Kauffman. In autocatalysis structures are recreated to become self-reproducing structures (autopiesis).

in a similar way as classical physics had been replaced by the quantum physical worldview. The inspired search for such new natural laws was one of the main motivations of many of the newly converted molecular biologists Gunter Stent, Maurice Wilkins, and Francis Crick all have confessed to having been greatly influenced by Schroedinger’s book. Most of them participated in the 1st phage meeting at Woods Hole where a proper school of molecular biology was created in 1945.

However, this romantic, even somewhat vitalistic program of the very beginnings of molecular biology was soon turned almost into its opposite, the still ongoing, gigantic enterprise of analyzing systematically a broad range of molecular details. Maybe it was inevitable.

When in 1937 the eminent biologist Barbara McClintock met Max Delbrueck, maybe the single most influential figure of the founders of molecular biology, she considered his approach to be fundamentally flawed. „He has never developed a feeling for the organism“, she said.

The second phase of molecular biology (1950 onwards) clearly is characterized by a narrowing down of the subject to the investigation of biological „specificity“ (molecular „information“), involving the study of proteins and nucleic acids in view to understand genetical structures and mechanisms.

This trend was not without influence on the development of biophysics proper, as is reflected in the Study Program in Biophysical Science, Boulder, Colorado, 20 July-16 August 1958, organized by the Biophysics and Biophysical Chemistry Study Section of the U.S.National Institutes of Health. Its objective was to „encourage the further blending of concepts and methods of physical science with those of life science in the investigation of biological problems“, in other words, to further physicalize biology. Its approach was that of molecular biology.

Basically, molecular biology and mainstream biophysics as they have developed since the 1950’s because of their extreme emphasis on molecular and physicochemical aspects of physiology have to be considered as being in the tradition of physiological chemistry rather than physiological physics. They are based rather on the kind of work exemplified by Höber’s „Physical Chemistry of Cells and Tissues“ (1945)[14], and later, Setlow and Pollard’s „Molecular Biophysics“ (1962)[15], and represent a late triumph of the reductionist program of the Berlin school of 1847.

However, this approach has long remained foreign to the practice of physiological science. As Cranefield wrote: „there is ample indication that during the last few decades physiologists in all countries have not considered the elucidation of molecular mechanisms, the dissolving of physiology into biophysics and biochemistry as their immediate goal. (…) As for the theoretical bias of modern physiology, it is still common to define physiology as the physics and chemistry of life and to assume that the mechanistic stand is correct.

Nevertheless, a position sometimes called organicism holds a very wide popularity today: the position that is identified with the frequent use of such concepts as homeostasis, integration, adaptation, organization, and whole organism.

These biological concepts are essentially neutral but to some they carry a flavor of vitalism“. This alternative current of physiological and biological thinking which can refer to Claude Bernard who rejected German reductionism, represented by such names as A.G.Gurwitsch, E.S.Russell, E.Rignano, P.Weiss, J.Needham, D’Arcy Thompson, J.S.Haldane, J.Barcroft, W.H.Cannon, C.H.Waddington, A.Meyer-Abich and L. von Bertalanffy, has only quite recently fallen into disregard.

Correspondingly, there is also in biophysics another tendency which has developed since the 1920’s and has not always been eclipsed by the dominating school to the degree it seems to be today.

In Germany, it has been represented by the work of Walter Beier and his school at the Institute of Biophysics of the University of Jena (German Democratic Republic). Applying the findings of the school of the Austro-Canadian biologist Ludwig von Bertalanffy to biophysics, Beier has developed a systemic, comprehensive approach which always aims at the wholeness of the system considered. In this approach a system is not viewed as a conglomerate of parts and it does not investigate isolated phenomena, but rather the wide field of interactions. Biological processes on each systemic level, i.e., molecular, cellular, tissue, organ, and organismic, are considered in the context of the higher level in which they are embedded. Besides systems theory, Beier’s approach is based on the irreversible (non-equilibrium) thermodynamics of open systems (while earlier biophysics uses equilibrium thermodynamics), information theory, cybernetics, and uses tools such as factorial analysis. He also follows Rashevsky who introduced relational and similarity considerations and optimization principles into biophysics.

THE SITUATION TODAY As we have seen, today in biophysics such a holistic approach is not widespread. The textbooks rather reflect the fragmentation of contemporary science with its excessive analysis, lack of synthesis and of a viable theory of life.

Biology has lost the wholeness of life, if not life itself, from its view. In spite of the programmatic postulate which has accompanied it since 1847, biophysics still has not developed into a theoretical biology. Beier is one of the few biophysicist aware of the central importance of theoretical biophysics as a complex, interdisciplinary branch of science, and has also shown a practicable way to develop theoretical models. His approach, developed in the 1960’s and 1970’s, can now be used as a starting point for the development of a modern, holistic, and organicist (non-reductionist) biophysics which should place much emphasis on investigating the holistic functions of organisms, such as self-regulation in growth and healing, morphogenesis etc.

Besides the conceptual tools that Beier has brought into play, such a new approach in biophysics must call upon many new developments in science, such as nonlinear electrodynamics, deterministic chaos, cavity quantum electrodynamics, and the physics of the vacuum.

Full use of the consequences of quantum physics, such as the Heisenberg indeterminacy, the holistic principle inherent in the quantum picture, and non-locality, has not yet been made.

Dürr also points to the fact that in molecular biology and chemistry the phase relationships of the electrons are not taken into account (only the intensities) and that the phase structure of the wave formed by the superposition of the partial waves of the millions of electrons in the DNA double helix molecule, may contain, in holographically coded form, additional important information.

A most fundamental element of such a new approach in biophysics will probably be a shift from the molecular to the field aspect of living matter, as proposed by Welch and by Popp, among others, which seems to be the only viable way to synthetize the myriads of molecular details science has amassed, into a holistic model of the organism.

One of the most important goals of applied biophysics in the near future must be the development of non-invasive methods to assess the functional state of whole and intact organisms, and that of the organism’s subsystems in the context of the whole organism.

This goal may be realized by measuring the electromagnetic field produced by the living organism; any interpretation that leads to useful results has to be based on a model of the organism making regulation processes accessible at the field level.

BIOPHYSICS: THE PHYSICS OF BIOLOGY OR THE „BIOLOGY OF PHYSICS“ ?

Any discussion of the future of biophysics inevitably leads to the fundamental question of the relationship between physics and biology. It seems clear that, besides drawing upon new developments in physics, a new biophysics also must become more biological again.

Any program of reducing biology to physics and chemistry has to consider that the actual physical laws have been obtained from the investigation of non-living phenomena, easier to investigate by the physical approach because they are less complex.

Maybe the reason for the failure of biophysics to develop a theory of life is just this reductionistic approach postulating that life processes should be explained by the already known physicochemical laws of non-living nature.

Not a few scientists of past decades, most notably J.S.Haldane and Adolf Meyer-Abich, as well as contemporary ones (e.g., Dale A.Miller[24], Gunter Albrecht-Buehler) have postulated that the principles governing life are more fundamental than those of non-living matter, and therefore biology should replace physics as the paradigmatic „leitwissenschaft“ (leading science).

Without subscribing to any vitalistic notions,takes a similar stance and shows a way which may lead beyond the ages-old controversy. He postulates that physics has to change and enlarge in order to describe biological phenomena; he rejects a reduction of biology to contemporary physics, but does not exclude one to a future, enlarged physics. According to Beier, to achieve a mathematization of biology, the biophysicist should not simply copy physics. „

Biophysics has to contribute to the establishment of purely biological postulates and principles without reducing these to physics. We can consider this method as an enlargement of physics. Physics in a sense ‘incorporates’ biology, via biophysics. Such a procedure can be taken by the materialist as well as by the vitalist from their respective standpoints to be a justification of their views. This again shows clearly the uselessness of a mechanist-vitalist controversy“. Rashevsky wrote that according to the Goedel theorem there must be physical phenomena which cannot be deducted from the laws of physics, even when they do not contradict those laws, and it cannot be decided if biology does not belong to this class of phenomena. Rashevsky and his school based their work on the presumption that biological phenomena are governed by such non-deductable principles.

To identify and formulate these more fundamental laws of life of which the known physical laws may turn out to be special cases, in the same way as the laws of classical Newtonian physics turned out to be special, restricted cases of the laws of quantum physics, should be the most noble goal of a new biophysics. Biophysics is predestined to take on this task. These laws have to be formulated in a mathematical way, but not necessarily metrically, as Rashevsky has shown.

PART 2: FIELD CONCEPTS AND THE EMERGENCE OF A HOLISTIC BIOPHYSICS

Due to recent advances in several disciplines, the basic features of a holistic biophysics are now emerging. It is proposed that the postulates for such a field must include that it will be based on the intrinsic holism of quantum theory and the properties of macroscopic quantum effects, that it should include the principles of nonlocality, nonseparability, and interconnectedness, that it will be based on a field picture of reality and the organism, and finally must include consciousness.

This blog attempts to show why field models are appropriate tools for the holistic modeling of the organism, proposes a hierarchy of regulation systems based on fields, gives a review of field models proposed in biology, biophysics, consciousness research and social science, and discusses the possible role of fields in bridging the mind-body gap.

Finally, a discussion of the perspectives that may be opened up for biophysics by some recently proposed extensions of electromagnetic theory leads the author to suggest a role for the physical vacuum in the organism.

Introduction

“Can Physics deliver another biological revolution ?” asked an editorial in the journal Nature of January 19991. However, the so-called “new physics-biology agenda” which several U.S. universities, foundations and government agencies intend to fund heavily, is actually a very old agenda going back to the 1930’s, namely that of molecular biology, which now in a gigantic effort of total genetic mapping, called by some “the New Manhattan Project of Biology”, strives to bring the molecular biology project of total technological control over life to a final fulfillment.

Is this the kind of “new biophysics” we want to be supported with all that money and effort ? I am certainly not alone in asking this question, and with the growing dissatisfaction about the reductionist, molecular-genetic approach to biology the number of those who develop and support an entirely different kind of biophysics is increasing.

A look into the history of biology and biophysics shows that there always have been alternative traditions to the molecular-reductionistic approach now dominant in these fields.

In biology, during some periods, e.g., in the first half of this century – holistic or organismic approaches have been far from marginal, in some disciplines, such as developmental biology, even constituting the dominant trend. Biophysics itself, although a relatively young field of science, has already experienced several changes in emphasis in the course of its history. The German founders of biophysics at the beginning of the 19th century, people like H.Helmholtz, E.Du Bois-Reymond, E.Brücke, C.Ludwig, E.H.Weber and G.T.Fechner, usually are depicted by historians of science as staunch reductionists and opponents of vitalistic and idealist ideas in biology. However,  in reality they were not in such a sharp opposition to the romantic Naturphilosophie spirit of the time, and nearer to the antireductionistic approach of Claude Bernard, than is generally assumed. Likewise, in the 1930s when molecular biology started its rise that has made it the dominant approach in biology and biophysics, there were a number of other viable biological programs, some of them holistic, that could have been chosen for promotion by the Rockefeller Foundation.

The reason why the officers and scientific advisers of the Foundation chose to promote the molecular vision of life was that they sought to develop, under the influence of Jacques Loeb’s engineering standpoint aimed at controlling life, a mechanistic biology as a central element of a new science of man whose final goal was social engineering.

Originally, the Rockefeller Foundation had intended to promote its goal of social control by eugenics, supporting several research projects concerned with eugenic selection. When eugenics lost its scientific validity amd social acceptance, the molecular biology program of creating a new biology grounded in the physical sciences and able to rigorously explain and eventually control the fundamental mechanisms governing human behaviour, promised a surer, if slower, way toward social control by eugenic selection based on the more readily accepted principles of genetics and protein science. Even within the scientific developments that stood at the origin of molecular biology, before it definitely took the reductionist turn leading to the present situation, at least one also forms an important element in the foundation of a modern holistic approach in biophysics: the quantum philosophy of Bohr, Schroedinger, Jordan and Delbrück.

Biophysics and the Quantum Revolution

The philosophical contribution to the rise of molecular biology originated in Niels Bohr’s speech „On Light and Life“ at the International Congress on Light Therapy at Copenhagen, August 15, 1932 23 where he postulated that a new physics was required for interpreting life; life was not reducible to atomic physics. A few of the key figures in molecular biology, mainly M.Delbrück and E.Schrödinger, were strongly influenced by Bohr’s views 24, which Schrödinger took up in his book „What is Life ?“ 25. The book inspired many young physicists traumatized by the wartime use of physical expertise, to go into biology and had a strong influence on the development of molecular biology 26.

However, the book certainly was more influential by interpreting the genetic viewpoint of H.J.Muller, T.H.Morgan and M.Delbrück in physicist’s terms and by backing it with the prestige of physics than by convincing biophysicists of the Bohr-Schrödinger hope of discovering new physical laws through biophysical investigation of biological phenomena27.

These ideas – which have to be seen in the context of the rather strong holistic tendency of the biology of the time – did not exert any lasting influence on molecular biology. On the other hand, they have been, and still are, a seminal influence for the later emergence of a holistic biophysics.

Today, molecular biology proposes itself as as the manageable project of refashioning life and redirecting the course of evolution that the Rockefeller Foundation and some of its early pioneers like H.J.Muller and W.Weaver had envisioned.

Because of the enormous technological and social power promised by molecular biology, even the increasing awareness of the bad science on which it is based in many respects, such as the many weak points in genetic and evolution theory28, does not prevent it to carry us into such immature and dangerous projects as genetic engineering biotechnology in agriculture and medicine, and the “Human Genome Project”, whose deeper nature is revealed by the military epithet of a “Manhattan Project of the life sciences”.

The noted quantum chemist, Hans Primas, agrees with this fundamental criticism29,30. He writes that molecular biology, as it exists today, is in fact engineering, not science. It is pragmatic, instrumental knowledge which aims at the power over nature, but not at understanding. It does not constitute a scientific theory of life able to give us orientation to live rationally with nature, but only provides technological control over life. Contemporary molecular biology has become a scientific technology which has lost contact with the epistemological sciences. Aspects of life that cannot be treated or understood from the molecular viewpoint, such as morphology, are glossed over. The assessment Robert Rosen made in 1967 31 is actually still valid: „…it must be pointed out that the older problems [he refers to the questions that preoccupied an older generation of biologists] have merely been displaced and not solved by the recent developments at the molecular level. These problems involve the very core of biological organization and development: homeostasis, ontogenesis, phylogenesis“ .

For Prim, the primary shortcoming of molecular biology is that the holistic character of the physical world now recognized in quantum theory is either not acknowledged by the bioengineers or rejected as irrelevant. He emphasizes that molecular biology, though well grounded in empirical knowledge, has no foundation whatsoever in the principles of quantum theory, contrary to a widely held belief to the opposite. It uses the methods and technologies of quantum mechanics, but its way of thinking is still committed to the classical physics of the 19th century and has not taken notice of the fundamental insights of quantum mechanics on the structure of the material world.

According to Primas, on whose statements the following is mainly based the atomistic-molecular view of matter and the reductionist-mechanist philosophy have no more any scientific foundation, according to the actual understanding of quantum theory. The description of reality by isolated, context-independent, elementary systems such as quarks, electrons, atoms, or molecules is only permissible under certain specific experimental conditions, and these entities cannot in any way be considered as „fundamental building stones“ of reality. Besides the molecular one, there are other, fundamentally different descriptions, complementary to the molecular one, which are quantum-theoretically equivalent and equally well founded. Quantum theory is much richer in possiblities than is admitted in the worldview of molecular biology.

In Primas‘ view, the feature of quantum theory that is most significant for biology is its intrinsic fundamental holism. For quantum mechanics, the scientific theory most widely recognized as fundamental and best confirmed by experiment, material reality forms and unbroken whole that has no parts. These holistic properties of reality are mathematically precisely defined by the Einstein-Podolsky-Rosen (EPR) correlations which are experimentally well defined.

Primas postulates that, by virtue of this, quantum mechanics constitutes the first and up to now only logically consistent, universally valid, mathematically formulated holistic theory In quantum mechanics, it is never possible to describe the whole by the description of parts and their interrelations.

With this view of quantum mechanics Primas follows Bohr and the school of Heisenbergwhile quark physics as founded by M.Gell-Mann continues to cultivate democritean atomism with their clinging to the concept of elementary particles bootstrap theory of G.Chew, D.Bohm’s „Causal Quantum Theory“ or „Holographic. Similar holistic views of quantum theory are the Theory of Reality“ , and others advocated by H.Stap, A.Goswami , Kafatos & Nadeau, Friedman, D.Peat, F.Capra, H.Atmanspacher, and many others.

This holistic view of quantum theory, although the phenomena on which it is based are not yet completely understood theoretically, cannot be rejected anymore because the strange EPR quantum correlations of non-interacting and spatially separated systems have been amply demonstrated in many experiments

Therefore the world-view of classical physics, atomism and mechanistic reductionism definitely cannot anymore be the basis of our worldview, and of biophysics. Quantum mechanics has established the primacy of the unseparable whole.

Another important epistemological consequence of quantum mechanics, complementarity, is also connected to its holism. As Primas writes, there is no single description, such as the molecular-reductionistic one, which can alone represent the whole reality of the subject of a scientific investigation, or is better or „truer“ than any other. Nature is extremely diverse and stratified; each description comprehends only a minute partial aspect of its unfathomable multiplicity.

Any scientific description of a natural phenomenon is only possible if we renounce the description of its complementary aspects.

Quantum theory can only be applied if we abstract from certain aspects and thereby break the holistic symmetry. However, the kind of abstraction we use is not prescribed by the first principles of the theory, such that quantum mechanics allows, and even requires, many different, but equivalent, complementary descriptions of nature. As an important postulate for future science, Primas therefore emphasizes that we will have to learn to work simultaneously with several complementary descriptions of nature .

In this perspective, the molecular view is legitimate and important and should not be abandoned; molecular biologists can be rightly proud of their successes. It should be cultivated, but not at the expense of other viewpoints. It is its extreme one-eyedness that must be criticised. However, as Primas points out, „biology is more than molecular biology.

He postulates that science must now redirect ist attention to the wholeness of nature, and therefore will have to ask radically new questions. It has to develop a concept of reality which does not exclude any part of it. Those properties which belong to organisms only as wholes must remain within the scope of science. Therefore, it will be necessary to consider the phenomena as well from „bottom-up“, as in mechanistic understanding, as from „top-down“, as in vitalistic and holistic understanding. According to Primas, the notion that the latter is not legitimate or secondary is a prejudice that must be overcome.

From the viewpoint of the quantum-theoretical worldview, both are completely equivalent, but lead to fundamentally different research agendas and insights. Even the criteria according to which the scientist decides what is scientifically defendable and interesting, are completely different from these two viewpoints. Also, according to quantum theory functional and teleological explanations are completely legitimate and equivalent to causal ones; even the primacy of causality has no foundation in the first principles of physics. Primas points out that it is not possible to distinguish between causal and final processes by purely mechanical means and that such a distiction only makes sense for irreversible processes. As to the existence of the hypothetical vitalistic forces, modern physics is well able to integrate new forces into its system.

Thus, matter has become „dematerialized“ by modern quantum theory, and this property of „thinglessness“ in the quantum worldview is closely connected to the property of „interconnectedness“.

The emphasis is no longer on isolated objects, but on relations, exchanges, interdepences, on processes, fields, and wholes.

Quantum theory is a nonlocal theory. It is important to see that we cannot retain the classical world of objects and only add the interconnectedness as a supplementary property of these objects.         They are two of the complimentary descriptions or aspects of reality which Primas has alluded to and cannot be used simultaneously; thus they rather should be considered as different diomensions of reality. The holistic interpretation of quantum theory in fact may also be taken as implying a multidimensional structure of reality.

In this view, there are, besides the world of objects, one or several more fundamental levels of reality where interconnectedness rather than separatedness dominates. Fields certainly belong into this category; however, apart from electromagnetic and other physical fields which are still among the phenomena considered as belonging to the four fundamental forces of the observable world, we must assume the existence of additional field-like levels of reality not directly observable at present, which may be beyond space-time and represent the realm of potentiality, or of the „noumena“, the realm behind the phenomena according to Newton, in contrast to the actuality of the observable.

The Schroedinger wave function of quantum theory actually describes this hidden domain of potentiality, of the non-observable, unmanifested, pre-physical world of non-local correlations and superluminal, instantaneous connections, rather than the world of observable phenomena 48. Only with the act of measurement this infinity of potentialities, described in the Schroedinger equation as a superposition of all possible quantum states, is „collapsed“ into one single actuality. Connected to the concept of potentiality is the concept of „entanglement“ which describes the characteristic of interconnectedness. In the absence of any interaction (such as a measurement), two systems are in an entangled state in which neither system by itself can be said to be in a „pure state“, i.e., can be fully specified without reference to the other.

This hidden domain can be considered as a fundamental dimension of reality, a domain of dynamical connectivity, from which the patterns of the physical world arise. According to some authors, this realm of pre-physicality is not only the basis of the physical world and of matter, but also seems to be connected to, consciousness, which some see as the fundamental field underlying i. In physics, it is treated by the various models of the physical vacuum. Its possible relevance to biophysics as a basis for a true quantum biology 62,63 seems obvious to us, as we will explain later. Therefore we postulate the development of a „vacuum biophysics“ (see last chapter) .

The „hidden domain“ of connectivity has characteristics completely different from those of the classical, macroscopic world of separated objects. For a long time, the quantum description that reveals the properties of phenomena belonging to this domain, or arising from it, was taken to apply only to the microscopic world of atoms and molecules, while the world of macroscopic phenomena of our experience was considered to be purely classical and not to manifest quantum properties. However, today we know that this is not true, and that there are many macroscopic quantum manifestations, although our knowledge about them is still limited64-68. Biological systems obviously possess the characteristics of macroscopic quantum systems.

The Redefinition of Biophysics

From what we have just heard, we can conclude that traditional biophysics, based up to now on classical physics and equilibrium thermodynamics, needs a redefinition in terms of the revolution brought by the last few decades of quantum-mechanical experiments and interpretations. As there is still no agreement on the definition of the field, we are free to attempt such a redefinition. In the following I will try to determine what the postulates for such a new biophysics could be, as it actually is already in development since about ten or fifteen years.

First of all, it indeed will entail a revolution based on physical concepts – however, not of the kind alluded to in the Nature editorial. While the physical view will be fundamental, it will not be that of classical physics, and the goal will not be the reduction of biology to physics but an understanding of the physics of the living, and physics must not replace, but support profound biological understanding. Thus, the new biophysics should be more than just an empirically based bioengineering technology; it will need epistemological and philosophical foundations. Its goal should be to develop an adequate theory of life, and it should balance the mastery of life with the understanding of life.

As a complement to the onesidedness of the molecular approach, the new biophysics will focus on holistic aspects of organisms, and will attempt to provide a vision able to synthesize the wealth of molecular details accumulated by molecular biologists. Its basis must be the insight into the fundamental interconnectedness within the organism as well as between organisms, and that of the organism with the environment.

Therefore it must be inter- or transdisciplinary and truly integrate biological, biochemical and medical expertise into its physical models, but also connect to knowledge from fields such as geophysics, biometeorology, heliobiology etc.

It will be based on quantum theory, and not classical mechanics – therefore it may also be called „quantum biology“ –, and also, instead of equilibrium thermodynamics, it must refer to non-equilibrium thermodynamics. Organisms clearly are open systems far from equilibrium. Other central concepts of the new biophysics, related to the latter, will be coherence and macroscopic quantum states.

I postulate that field thinking and field models will have to be one of the central elements of the new biophysics, as a complement to the molecular view, as a means to sythesize the wealth of its details, and to adequately model thinglessness, interconnectedness and non-locality – therefore bioelectromagnetics will play a central role in the new biophysics. However, recent experiments have shown that the existence of hitherto unknown, non-electromagnetic fields in and between organisms cannot be excluded. Of course, the field aspect of the organism has to be seen in close connection, and constant interaction, with the solid aspect. Attention should also be paid to the field aspect of biochemical processes, for example in collective processes, reactivity and molecular recognition.

I suggest that the existence of a pre-physical, unobservable domain of potentiality in quantum theory, which forms the basis of the fundamental interconnectedness and wholeness of reality and from which arise the patterns of the material world, may provide a new model for understanding the holistic features of organisms, such as morphogenesis and regeneration, and thus provide a foundation for holistic biophysics – therefore I propose that the usefulness of the theories of the physical vacuum for understanding the phenomena of life is investigated – one important aspect of their usefulness may be as a link between the domain of biology and consciousness.

I postulate that the new biophysics needs to extend its interdisciplinarity even beyond natural science. Consciousness cannot be excluded anymore from biophysics, although the difficulties of such an extension should not be underestimated. There is now enough evidence showing that consciousness is a causal factor in biology and not just an inconsequential epiphenomenon. Starting from the analysis of the phenomenology and the experimental evidence for mind-body interaction, field models and vacuum theories may provide the necessary tools for bridging the mind-body gap. However, it is also necessary to acknowledge the limits of the scientific approach, and value the goal of understanding highly enough to include non-observables into our models, if this supports understanding.

Historical Antecedents of Holistic Biophysics

Not only theoretical considerations as those of Primas, but also the history of biology and of biophysics show clearly that the reductionistic concept of molecular biology is not the only possible concept for biological science; there even have been several periods in which holistic approaches have been dominating biology, or at least parts of it69. Even in biophysics proper, there have always been holistic schools of thought, although they usually are not mentioned in contemporary reviews of the field, or not thought of belonging to biophysics.

An early instance of holistic thought in biology is the school of rational or transcendental morphologists of the late 18th and early 19th centuries, such as G.de Cuvier, E.Geoffrey St-Hilaire, and R.Owen, who deduced, from their detailed studies of organismic morphology, the existence of principles or laws of form operating in the biological realm. Similarly, the holistic biology and medicine of the Romantic period, including J.W.Goethe, A. v. Humboldt, C.G.Carus, K.E. von Baer and J. Müller, regarded the ideal form of a species as a transcendental guiding principle in morphogenesis. A strong tradition of antireductionistic physiology starting with F.Magendie was mainly created by Claude Bernard. Bernard’s concept of “internal environment” (“milieu interne”) developed in 1857, stood at the beginning of the research in physiological regulation, to which E.Starling, L.J.Henderson, J.Barcroft, and W.B. Cannon (“homeostasis) have been contributing; other holistic physiologists were J.S.Haldane, H. Selye, R. Dubos and A. Carrel.

In the period of 1900-1950, the main thrust of developmental biology, especially in the work of H.Driesch, H.Spemann, P.A.Weiss, A.Gurwitsch, R.Harrison, C.M.Child, J.v.Uexküll, J.Needham, E.S.Russell, J.H.Woodger, A.Meyer-Abich, and A.Müller, has been holistic and centered around the concept if biological fields 69,73-74.

Very much fallen into oblivion has today the important work done during this century in the German tradition of holistic physiology, pathology and medicine, represented by names like G.v.Bergmann, H.Schade, F.Kraus, F.Buttersack, A.Bier, Th.Brugsch, B.Aschner, L.R.Grote, F.Hoff, R.Rössle, G.Ricker, H.Eppinger, W.Petersen, H.Pischinger, O.Bergsmann. Holistic schools of medical thought have also been active in Britain, the USA, and France, mainly in the interwar period75.

Important contributions to holistic science came from Gestalt theory and other holistic theories in psychology, neurobiology, and psychiatry, as exemplified by W.James, Chr.v. Ehrenfels, M.Wertheimer, W.Köhler, K.Goldstein, K.Lewin, C.v.Monakow, C.S.Sherrington, K.Lashley, G.Murphy, V.v. Weizsäcker, A.Maslow, K.Pribram 74-78.

The work of the Austrian-Canadian biologist L.v.Bertalanffy is particularly significant for the emerging holistic biophysics; Bertalanffy’s “organismic” conception of life, which also was the starting point of his “General System Theory”, actually constitutes a first attempt to create a holistic picture of the organism based on physical laws and detailed biological knowledge, and ist still a valuable guide for our contemporary efforts 79-84. The German school of Beier 85-86 has continued this tradition in biophysics.

An early tradition of holistic biophysics developed from Claude Bernard’s school in France, represented by A.d’Arsonval, W.Kopaczewski, F. Vlès, and G.Lakhovsky.

Russia has its own tradition of holistic biology, biophysics and bioelectromagnetics with the work of V.I.Vernadsky, A.L.Chizhevsky, A.G.Gurwitsch, E.Bauer, and A.S.Presman, among others.

An important contribution to holistic thinking comes from the tradition of mathematical biophysics with its concepts of optimality, and relational and similarity principles, represented by D’Arcy W.Thompson, N.Rashevsky, R.Rosen, and R.Thom.

Holistic concepts in philosophy of relevance to biology and biophysics have been developed by J.Smuts, A.N.Whitehead, O.Spann, A.Meyer-Abich, H.Conrad-Martius, H.Plessner, H.Friedmann, among others.

Last but not least, the contributions of psychosomatic medicine, such as those by V.v.Weizsäcker, F.Alexander, Flanders Dunbar, G.Groddeck, and G.R.Heyer, must be mentioned.

In the time of 1900 to 1950, holistic approaches in biology, usually connected to field concepts (see next chapter), far from being marginal, have formed one of the dominant schools of thought, at least in developmental biolog. For various reasons, the plausibility of this approach has strongly decreased from the 1950‘s. The main reason was the rise of genetics as an alternative program to explain development.

Much of this work is anything but obsolete, but it is now necessary to actualize the fundamental observations and concepts developed by these pioneers of holistic science with the up-to-date knowledge in the respective fields.

Field Concepts as a Necessary Base of Holistic Biophysics

Modern physical field theories, such as those developed by Faraday and Maxwell, have their origin in metaphysical concepts arising from the participatory consciousness of archaic man. Field and particle theories arise from complementary modes of human self- and world-experience rooted in bodily awareness, with the field perception of reality probably being much older than particle theories, which could only arise when the participatory world-view slowly gave way to individual consciousness and the perception of an objective world, by way of an increasing differentiation between inside and outside, I and the world, the subjetive and the objective, and matter and consciousness. This objectivation of the world has reached its climax in the worldview of the classical physics of the late 19th century, with the assumption that all there is to reality is solid particles assembled in various degrees of complexity.

The electromagnetic field theories of Faraday and Maxwell proposed in the second half of the last century have inspired biologists already from 1900 to the development of the first field theories, but it was only with Einstein’s General Relativity, quantum mechanics and quantum field theory, that physics overcame the mechanical world picture and conceived reality as a field phenomenon.

Biology still bases its picture of the organism on the building-stone view of classical physics which physics itself has already given up since a couple of decades. One of the first and most fundamental steps in the development of a holistic biology must therefore be not only to complement the classical view with the field aspect, but even to build its model of the organism on the field picture.

As I have shown elsewhere, the concept of the field has alraedy occupied a central place in the school of “organismic” or “holistic” biologists in the first half of this century69.

Leading biologists such as H.Spemann, R.Harrison, P.A.Weiss, J.Needham, and C.H.Waddington, A.G.Gurwitsch used the hypothesis of a biological, or morphogenetic, field, introduced by Weiss and Gurwitsch in the early 1920’s, as a tool for understanding the phenomena of development, regeneration and morphogenesis and to make predictions for experimental testing. Although their field concepts referred to the model of physical, especially electromagnetic fields, the organicists generally considered the biological field as a purely heuristic concept and left the exact nature of the fields open. The time (and electromagnetic science) was not yet ripe for the notion of real electrical, electromagnetic or otherwise physical, fields of long-range force.

ELECTROMAGNETIC FIELD THEORIES IN BIOLOGY

At this time, there was not enough experimental evidence for the existence of bioelectromagnetic fields nor for the biological effects of EM fields. Thus, the various electromagnetic (EM) field concepts proposed since the first decades of the 20th for biology, as those by Keller, Burr, Burr & Northrop, Crile, Lund, and Lakhovsky89, were premature. The breakthrough and beginning of modern EM field theories in biology came only in 1970, with A.M.Presman’s report of the pioneering work of Soviet bioelectromagnetics researchers, which also contained a first outline of a holistic EM field theory of the organism and his relationships to the environment90. Since then, there is ample evidence for bioeffects of EM fields and endogenous EM fields. It is now established that organisms react sensitively to the impact of electromagnetic fields, including very weak ones; effects of various types of endogenous physical fierlds on cellular organization and morphogenesis are very likely. We also know that several kinds of electromagnetic fields, including microwaves and optical frequencies (biophotons), are emitted from living beings. There is also evidence that weak endogenous electrical currents are involved in regeneration and growth of new tissue; the role of ionic currents in morphogenesis and development has also been demonstrated. Communication by electromagnetic fields is established for fishes and insects, which suggests this may be a more general phenomenon.

A number of further developments have contributed to the full development of modern biological field theories. They include the work of A.Szent-Györgyi on the excitation-deexcitation dynamics in biochemistry and the role of charge transfer in the organism91-93; the work on open, non-equilibrium systems and the coordinated collective behaviour of particles culminating in Prigogine’s theory of “dissipative systems”; H.Fröhlich’s work on coherence of the EM fields coupled to these particles and connecting them 94-97; the Dicke theory of the coherent emission of coupled multiatomic emitters; the theory of quantum coherence developed by R.J.Glauber 99-101; and several recent developments in quantum optics, such as the work on non-classical light and Cavity Quantum Electrodynamics.

MODERN BIOELECTROMAGNETIC FIELD THEORIES

These achievements became important elements in the “biophoton theory” developed by Popp and his group. Like most modern field-theoretical proposals, it tries to reconcile particle and field approaches. Based on the evidence for the coherent emission of ultraweak luminescence by organisms, it conceptualizes organisms as biological lasers of optically coupled emitters and absorbers operating at the laser threshold. The solid part of the organism is coupled with a highly coherent, holographical biophoton field which is proposed to be the basis of communication on all levels of organization; the components of the organism are seen to be connected in such a way by phase relations of the field, that they are instantly informed about each other at all times. The biophoton field is also postulated to be the basis of memory and the regulation of biochemical and morphogenetic processes.

A related approach, bioplasma theory, was developed from early suggestions by Szent-Györgyi, who pointed out that biomolecules in the organism are predominantly present in the excited state, and that the energetics of living systems are based on excitation-deexcitation dynamics which are also the basis of chemical bonding. Biological plasma is described as a „cold“ plasma of highly structured collective excitations produced by the dielectric polarization of biological semiconductors, which functions as a single unit. The collective excitations of the molecules propagate in the form of excitons.The complex aggregates and configurations formed by the plasma particles serve as an energy network in the organism. External and intrinsic radiation is stored in the bioplasma in the form of trapped cavity oscillations which form the biological field; it has a complex broadband holographic wave structure of great stability. The biological effects of external radiation are ascribed to resonance properties of the whole system, and not to any of its parts. Like biophoton theory, the bioplasma concept implies non-equilibrium and electronic population-inversion, and therefore laser-like processes, as postulated by Inyushin in the early 1970‘s.

Pribram’s „holographic theory of perception and memor, first proposed in 1971, has been an important contribution to modern biological field theory. It proposes that information from the sensory input is enfolded by Fourier-like transformations and stored in the brain in the form of holographic interference patterns, i.e., coherent EM fields. For reading it out in remembering, it is unfolded again by inverse Fourier transformation. In 1975 Pribram synthesized his model with the more general „holographic theory of reality“ proposed by Bohm in 197. It suggests that the organization of reality itself may be holographic, the world of objects we perceive (the „explicate order“) being a second-order manifestation of the more fundamental „implicate order“ or „holomovement“ forming the basis of the world’s fundamental unbroken wholeness.

The „holographic concept of reality” proposed by Miller et al is a useful attempt to sketch the outlines of a possible synthesis of field models emphasizing the particle aspect, like bioplasma theory, and those who focus on the connecting and/or underlying fields, like biophoton theory and the holographic theories. At the same time, it tries to elucidate the significance of biolectric phenomena and physico-chemical parameters like the acid-base and electrolytic balances and redox potentials within the bioelectromagnetic fields.

Today, the field view of the organism and its interactions is finding increasing acceptance in biology, biophysics and medicine 119.

Biophysics and Consciousness: On the Possible Role of Fields in Bridging the Mind-Body Gap

The German founders of biophysics in the early 19th century recognized consciousness as the „ultimate problem of biology“, but science at that time was not prepared to include consciousness into biophysics, although the necessity was not denied19. Today, the situation is different. Since around the turn of the century, Freud and his followers have made the problem of consciousness a central topic of a broad research effort whose results widely influenced Western society, but were hardly taken seriously by the natural sciences.

The last few years have changed this: consciousness has ceased to be a „non-subject“ and is now definitely on the scientific agenda127-128. An increassing number of authors are emphasizing the necessity of introducing consciousness into the scientific worldview, and some believe it should even become its very foundation 41,44-46,49,57,131-135. As to the consequences of a „biology without consciousness“, Efron has pointed out the disastrous epistemological confusion the exclusion of consciousness from biology has caused.

Although the highly animated discussion in consciousness research is characterized by widely divergent standpoints, the decades-long dispute about the inclusion of the observer and the possible role of consciousness in quantum mechanicshas certainly been a significant influence. As can be seen from the new discipline of „Quantum Neurodynamics“ , Pribram’s and Bohm’s holographic theories, together with Eccles‘ suggestion that fields analogous to the probability fields of quantum theory could be responsible for the coupling between consciousness processes and neural events141, have also been of considerable influence. Thus, an important segment of the most recent efforts in consciousness research is based on the hypothesis that consciousness may have a field-like nature, and/ or that fields may play a mediating role between consciousness and the biological organism. This hypothesis has already a considerable history and is more widely held than commonly is known.

It was probably W.James who first introduced the concept of a field of consciousness into modern psychology in 1890. C.G.Jung’s “Collective unconscious”, first proposed in 1917, is conceived as a deeper, fundamental field-like unitary psychophysical reality (“unus mundus”) occasionally producing “synchronicity” effects. Gestalt Theory, initated by Chr.v.Ehrenfels and W.Köhler, postulates an isomorphism between psychological and psychophysiological processes, mediated by fields analogous to Maxwell’s electromagnetic fields and not bound to the nervous substrate, whose geometrical structure mirrors that of the perceived stimuli. In the 1930’s K.Lewin proposed in his field theory of social psychology that social interactions are best understood by a field model. In the 1940’s G.Murphy developed a field concept of the organism, of personality, and of communication and suggested the existence of an interpersonal field which he thought to be part of a wider universal field. Murphy also explained Psi effects in groups as a loosening of the usual interpersonal barriers and opening up to the interpersonal field. Paul Schilder demonstrated the existence of a “body-image”, a 3-dimensional picture of the “perceived body”, different from the body of anatomy and physiology, a kind of a constantly reorganized field that is constructed from the visual, tactile, kinesthetic, postural etc. experiences of an individual’s lifetime. In 1964, Aron Gurwitsch proposed a field theory of experiential organization in the tradition of Gestalt theory, Lewin and Husserl’s phenomenology. The Russian mathematician and philosopher, V.V.Nalimov, has recently proposed a theory of the “semantic vacuum”, according to which there is a deeper, unobservable process from which ordinary, reflexive consciousness emerges which he calls the semantic vacuum, in deliberate analogy to the concept of the physical vacuum.

A school of thought that has found wide interest and has led to a new branch of neuropsychology, has its origin in the work of Pribram and Eccles. In the early 70’s K.H.Pribram has proposed that coherent holographic fields mediate between consciousness and neurological processes; J.Eccles has postulated in 1977 that consciousness has an existence independent of the brain, and that the self interacts with the body and the material world using the brain as an instrument. H.Margenau in 1984 suggested mind may be a unique type of non-material field, analogous to quantum probability fields; this suggestion was taken up in 1986 by J.Eccles who proposed that this field may modify the probability of emission of neurotransmitters at the dendritic synapse. This finally led to the formation of the new field of Quantum Neurodynamics, based on the hypothesis that brain processes are to be understood on the basis of quantum field theory and are based on quantum fields, or potentials. Long-time memory is conceived as a structured complex of vacuum states; remembering as the emission of coherent biophoton signals from the vacuum state. The coupling of neurophysiology with the “quantum sea” of the vacuum is assumed to be the basis of brain processes.

Quantum neurodynamics illustrates the many recent efforts to find approaches bridging consciousness as an entity which is not directly measurable, and the solid material aspect of the organism, with the hypothesis of a mediating field domain. Similar efforts have been made in the last few decades in many areas, not least in connection with the scientific investigation of Eastern medical systems, such as acupuncture, of contactless healing and various other phenomena.

Observations and Experimental Studies of Interpersonal Fields of Unknown Nature

The existence of electromagnetic fields emitted by living organisms, including humans, is now well established, even if there is not much established knowledge about their biological functions. On the other hand, man has a long history of subjective experience of field-like interpersonal connections which usually are relegated to the realm of imagination by the scientifically minded. More recently, however, a number of scientific experiments have to some extent given evidence for the physical reality of these field observations.

As to the observations, an important example are the studies of nonverbal behaviour that have shown a synchrony of the body motion of speakers and listeners with the speech pattern, which probably serves to establish empathic resonance. A related phenomenon is the well established phenomenon of “emotional contagion”. Psychiatrists and psychotherapists have been familiar since decades with the “praecox feeling”, the field-like aura displayed by their patients announcing impending psychosis or schizophrenic episodes, and have been well aware of the contagious nature of these states. The phenomenon of “transference” between therapist and patient is equally well known and has led a number of authors to the hypothesis of an “interpersonal field”. In “mutual hypnosis” two persons create a common psychic field which in the deeper stages can turn into a shared hallucinatory or dreamlike reality. Families may, according to some psychotherapists, possess a common unconscious and shared emotional field.

A number of recent experimental studies give evidence that such interpersonal field effects may have some physical basis. Studies of empathically bonded pairs by J.Grinberg-Zylberbaum have shown interhemispheric and interpersonal EEG coherence and the appearance of transferred (evoked) potentials in the unstimulated partner after separation by a Faraday cage. The “field-REG experiments” done by the Princeton Engineering Anomalies (PEAR) Laboratory demonstrate anomalous influence of group events with a “high degree of subjective resonance between participants”on the random output of portable random events generators (REG) that suggest the presence of a field within such groups. Experiments on distant mental influence on living systems (DMILS) show that persons are able to exert direct mental influences upon various distant biological systems shielded from all conventional informational and energetic influences.

While these experiments suggest the possible non-electromagnetic nature of the studied fields, the measurements of the “Copper-Wall Project” performed by E.Green demonstrate that in healing sessions, exceptional subjects, such as healers and sensitives, are able to generate anomalous voltage surges in electrical body potential which are transmitted to and measured by electromaters attached to the four highly polished copper walls surrounding them in some distance.

Biological Fields in the Light of Some Proposed Extensions of Electromagnetic Theory

In some of these experiments showing the existence of interpersonal field phenomena (Grinberg-Zylberbaum, DMILS) electromagnetic fields have been excluded; therefore we must use the hypothesis that some kind of probably unknown, non-electromagnetic field(s) may be involved. Recently, a number of authors have suggested that electromagnetic potentials (vector and scalar potentials) may play a role in living system, and a series of preliminary experiments (which still have to be reproduced independently) seems to show biological effects of vector potentials different from those of ordinary electromagnetic fields 147-153. It has been proposed that there may be a whole class of non-electromagnetic fields underlying electromagnetic phenomena, which have been called „subtle energies“ by some authors, following a suggestion by Einstein.

In fact, while the potentials have long been considered mere mathematical conveniences without physical reality, the reevaluation of their significance made possible by the groundbreaking paper by Aharonov & Bohm , is now opening up a new field of electromagnetic research which we suspect may turn out to be highly significant for bioelectromagnetics and biophysics in general. A number of recent attempts to formulate extensions of electromagnetic theory point to the existence of an additional, hitherto unsuspected dimension of electromagnetism, which seems to be able to interact with the very structural fabric of space and time 155,156. Aharonov & Bohm  have shown that in certain cases the potentials act as real physical fields and must even be consdered more fundamental than the electric and magnetic forces; in the experiment they proposed the potentials exert an physical effect on charged particles in a field-free volume but not in the way force-fields do – they only influence the phase, and thus are fields of information.

However, the reason for the now well proven Aharonov-Bohm (AB) effect has only become evident in the wake of its analysis and generalization by Wu & Yang. Barrett  has given evidence that in the AB experiment the electromagnetic field, normally of U(1) symmetry, is „conditioned“ into SU(2) form (in other cases even higher symmetries can be obtained) by the geometrical constraints of the experiment, which adds a degree of freedom to the field allowing an interaction with the space-time metric (neutrino network) and its topological structure, and endows it with a gravitation-like essence and form. Barrett also has shown that the AB effect is only one of a whole class of effects where this is the case.

According to Tiller potentials have the important function of mediating between electromagnetic fields and the macroscopic quantum states of solid matter on the one hand, and the physical vacuum on the other hand, because of their property of controlling the phase of electromagnetic fields. He suggests that the „subtle energy“ fields of the vacuum domain, belonging to a higher dimension beyond space-time, organize the structure of space-time, which in turn, by the intermediate of the potentials, generates the corresponding electromagnetic fields. These finally give rise to the observed processes in space and time.

This hypothesis is supported by the work of Barrett on the conditioning of the electromagnetic field. In this process, the phase-controlling property of potentials is central. This is highly significant for biophysics, not only because of the coherence of biolectromagnetic fields; its importance can also be illustrated by the fact that the living organism with its many rhythmical processes basically is a complex system of oscillating fields coupled nonlinearly by their phase-relations.

Apart from potentials, a number of further non-electromagnetic fields have been forwarded in the various proposals for extensions of the Maxwell theory, as possible elements of an intermediate „subtle realm“ between particles and force fields and the vacuum, or as elements or aspects of the vacuum itself, for instance, „torsion fields“and the B(3) „ghost field“ of longitudinal magnetic polarization.

The Concept of Vacuum Biophysics

We are convinced that it is one of the central tasks of biology and biophysics, as it is of physics itself, to investigate the process of becoming and of manifestation, the arising of actuality from potentiality. It is clear that this is not yet completely realized in quantum physics, although the recent discussions about the interpretation of quantum theory and the alternatives to the Copenhagen interpretation have shown that it is groping in this direction. The same tendency can be found in the recent attempts at developing unfied theories of all physical interactions.

In the various unification programs the concept of the physical vacuum occupies a central place. „The vacuum is fast emerging as the central structure of modern physics“ (Saunders & Brown. We postulate that it also merits such a central place in biophysics 62,63,147. It has in fact already been used in a number of recent models, e.g. by Conrad, Grandpierre, Laughlin, Laszlo, Jibu & Yasue, Shacklett, and Tiller. We would not be surprised if it would turn out to be the very foundation a holistic quantum biophysics needs. The holistic quantum logic of biological processes and structures may not be sufficiently understood without the explicit inclusion of the vacuum concept into biophysics. Biophysics should be able to explain how, in the generation and development of organisms, pre-physical potentialities are transformed into physical realities. For practical reasons, it should also be interested in improving our knowledge on the more subtle, early levels of biological manifestation, where we may have access, for instance, to the formation of preconditions for illness. The assumption of a pre-physical dimension of potentiality is a prerequisite for the full understanding of life. To quote the Heisenberg pupil Hans-Peter Dürr: „Living systems prove that actuality (factuality) is not all there is, but potentiality is also important. Like all macroscopic quantum systems, they are emergences of potentialities into factuality“ 178.

We postulate that the concept of the vacuum is the appropriate framework to model the fundamental quantum-mechanical domain of potentiality. The vacuum is the „ground of being“ from which the information for the structured development and regeneration of inorganic as well as living forms arises. All the features of the unbroken wholeness of reality implicit in quantum theory – non-separability, non-locality, fundamental connectedness – which are so fundamental for biological understanding, are an expression of the properties of the vacuum. The vacuum is the origin of microscopic and macroscopic coherence, an essential feature of living organisms. And, finally, the understanding of the vacuum may provide the crucial insights on the role of consciousness in physical reality, and in the various stages in which the creativity of the ground of existence unfolds on its way from pure potentiality and information to physical manifestation.

The concept of of the quantum vacuum may provide an important tool in developing both, a holistic terminology, and a holistic methodology for the integration of biology and physics necessary for the emergence of a holistic biophysics, or quantum biophysics. Especially significant may be its usefulness as a suitable framework for the treatment of organisms as macroscopic quantum systems (cf. the significance of vacuum degeneracy).

However, it must be clarified that we are not only talking about the electromagnetic vacuum of zero-point fluctuations, but of a more inclusive and fundamental unified vacuum of all four interactions.

SUPERFLUID VACUUM MODEL OF THE ORGANISM

In biophoton research first considerations on the possible role of the vacuum have been made in the 1980‘s in connection with the stability and optical properties of DNA and the optimal signal/noise ratio in the information transfer by biophotons. The central role that the vacuum plays in the Dicke theory and in Cavity Quantum Electrodynamics is well known. In 1985, Popp has suggested that biophoton emission as measured may arise from a non-measurable, virtual, delocalized, highly coherent field within the tissue, denoted by him as the realm of „potential information“ in the organism; he conjectured it may be a kind of vacuum state 179-180.

More recently, Zeiger has developed a „superfluid vacuum model“ for understanding the biophoton emission of seeds and its connection to their viability. According to this model, seed vitality and biophoton emission are two parallel expressions of the same underlying reality: the superfluid Bose-condensate of photons. He proposes that the radiation field coupled to biological systems has to be understood on the basis of a twofold ground state. It consists, on the one hand, of a non-perturbative, collective-coherent state responsible for stability, internal communication and photon storage, which endowes the organism with a quiet background field connecting all its components by long-range phase relations with each other and with the environment. The second ground state, a perturbative, fluctuating-coherent state consisting of the excitations of the collective-coherent state, is responsible for flexibility, adaptation and external communication, and from it the observed biophotons are emitted. The two states are separated by an energy gap which controls the behaviour of the system and is a basic measure for the overall state of the organism. It is a parameter that promises to become an important new tool in biophysics proving additional information on the living system. Zeiger’s model may be a significant step in the biophysical modelling of the process of the emergence of „becoming“ from the potentiality of the „ground of being“.

Thus, if we speak of the electromagnetic field, or biophoton field, of cells, tissues or of the whole organism, as opposed to the biophoton emission measured, we may actually be dealing not with an electromagnetic field in the usual sense, but with a virtual field, or vacuum state. This has actually been proposed by Bearden181-183 and is partially supported by the work of Barrett and others, already mentioned, on one or more deeper level(s) of electromagnetism.

If we define vacuum physics as that branch of physics concerned with the fundamental pre-physical level of potentiality from which matter and fields arise and which contains the information for their dynamic structuring processes, I suggest that the corresponding field of biophysics concerned with the investigation of the biological role of the physical vacuum and of the mediating role of potentials and other nonelectromagnetic fields between the vacuum on the one hand and force fields and solid matter on the other hand, should be called „vacuum biophysics“. It may become an important theoretical element and research subject of the new biophysics.

Under the above assumptions a hierarchy of levels of biological function, or regulation systems, based on fields, may be envisaged as a working hypothesis, where we have, between the solid body on the one hand, and consciousness on the other hand, the intermediate levels of holitic regulation systems and physiological-biochemical regulation, bioenergetic (EM) fields, and finally bioinformation fields.

Conclusion

Can physics deliver another biological revolution ? There is good evidence it indeed can and will, but it is not the further perfection of the reductionist program of molecular-biological control of life devised in the 1930’s that will produce the much needed revolution, but rather the renewal of the alternative tradition of holistic understanding in biophysics whose features are now beginning to emerge more clearly. It will draw on the still valid findings of the various holistic approaches in physics and the biomedical sciences of the first half of the last century which it will actualize by linking them to the many recent advances in physics and molecular biology, and it will incorporate the interaction of consciousness with biological matter as a key element in understanding the phenomena of life. The new holistic biophysics will be based on a field model of the organism and its interactions with other living systems and the environment; besides electromagnetic fields it will also consider the possible role of novel, non-electromagnetic fields and of the physical vacuum in biological processes.

About Mathematical Biology (Robert Rosen)

Part 3: ABOUT GLOBAL SCALING THEORY

Scaling means logarithmic scale-invariance. Scaling is a basic quality of fractal structures and processes. The Global Scaling Theory explains why structures and processes of nature are fractal and the cause of logarithmic scale-invariance.

Scaling in Physics

 In 1967 / 68 Richard P. Feyman and James D. Bjorken discovered the phenomenon of logarithmic scale-invariance (scaling) in high energy physics, concrete in hadron collisions.

 Simon E. Shnoll found scaling in the distributions of macroskopic fluctuations of nuclear decay rates. Since 1967 his team discovers fractal scaling in the fluctuation distributions of different physical and chemical processes, as well as in the distributions of macroskopic fluctuations of thermic noise processes.

 In 1982 – 84, Hartmut Müller discovered scaling further in the distributions of elementary particles, nuclei and atoms dependent on their masses, and in the distributions of asteroids, moons, planets and stars dependent on their orbital properties, sizes and masses

 Scaling in Seismicity

Within the fifties Beno Gutenberg and Charles Richter have shown, that exists a logarithmic invariant (scaling) relationship between the energy (magnitude) and the total number of earthquakes in any given region and time period.

Scaling in Biology

In 1981, Leonid L. Chislenko published his work on logarithmic scale-invariance in the distribution of biological species, dependent on body size and weight of the organisms. By introducing a logarithmic scale for biologically significant parameters, such as mean body weight and size, Chislenko was able to prove that sections of increased specie representation repeat themselves in equal intervals (ca. 0.5 units of the log based 10 scale). See lso the Law of Kleiber

In 1984, Knut Schmidt-Nielsen was able to prove logarithmic scale-invariance in the construction of the organisms and in metabolic processes.

In 1981, Alexey Zhirmunsky and Viktor Kuzmin discovered process-independent logarithmic scale invariance in the development stages in embryo-, morpho- and ontogenesis and in geological history.

Scaling in Neurophysiology

We live in a logarithmic world. All of our senses perceive the logarithm of a signal, not the linear intensity of the signal itself. That is why we measure sound volume in decibels, and consequently in logarithmic units.

Sounds whose frequencies differentiate themselves by double, quadruple or eight-times, we perceive as a, a’ or a’’, the same sound. This property of our sense of hearing makes it possible for us to differentiate harmony from disharmony. The harmonic sound sequence 1/2 (Octave), 2/3 (Fifth), 3/4 (Fourth), 4/5 (Major Third), and so forth is logarithmic, hyperbolic scale-invariant.

Our sense of touch is also calibrated logarithmically. Assuming that one holds in the left hand 100 grams and in the right hand 200 grams; if one then adds 10 grams to the left hand, then 20 grams must be added to the right hand in order to sense the same weight increase. This fact is known in Sensing Physiology as the Weber-Fechner Law (Ernst Heinrich Weber, 1795 – 1878, Gustav Theodor Fechner, 1801 – 1887): The strength of a sensory impression is proportional to the logarithm of strength of the stimulus.

The Weber-Fechner law also touches on our senses of smell and sight. The retina records only the logarithm, not the number of impinging photons. That is why we can see not only in sunlight but also at night. Whereas, the number of impinging photons varies by billionths, the logarithm varies only by twentieths. (ln 1000,000,000 ≈ 20.72)

Our vision is logarithmically calibrated not only in regards our perception of the intensity of light, but also relative to the lights wave length which we perceive as colors.

Our ability to judge lineal distances is based on the possibility of comparison of sizes and the determination of relative measurement scales. The linear perspective assumes a constant size proportion that is defined by size enlargement or reduction factor. This factor is multiplied several times with itself in the perspective. From this an exponential function is defined which argument is a logarithm.

The function of our sense organs is concerned with acoustic or electromagnetic wave processes. The logarithmic scale-invariant perception of the world is a consequence of the logarithmic scale- invariant, construction of the world.

Scaling in Mathematics 

All natural numbers 1, 2, 3, 4, 5 … can be constructed from prime numbers. Prime numbers are natural numbers that are only divisible by the number 1 and themselves without leaving a remainder; accordingly, the numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 … are quasi elementary parts of the real number continuum. The distribution of the prime numbers among the natural numbers is irregular to such an extent that formula for this distribution cannot be defined. Of course, prime numbers become found more seldom the further one moves along the number line. Already in 1795, Carl Friedrich Gauß noticed this. He discovered that the set p1(n) of prime numbers up to the number n could be calculated approximate according to the formula p1(n) = n / ln

  1. The larger the value of n, the more precisely is this law fulfilled; and means that the distribution of the set of prime numbers among the natural numbers is scale-invariant

Non-prime numbers can clearly be represented as products of prime numbers. One could also say that non-prime numbers are prime-number clusters. This means that non-prime numbers are composed from several prime numbers. In this interpretation, one can derive the prime-factor density distribution on the number line.

The logarithmic scale-invariance of the distribution of the prime numbers is a fundamental property of the continuum of numbers. Moreover, this is the only non-trivial statement that holds true for all prime numbers.

Logarithmic scale-invariance of the prime-factor density distribution means that one can speak about a standing density-wave in the number continuum. The prime factors, 2 and 3 produce the base-oscillation, and early prime factors produce the spectrum of overtones.

From the Model to the Theory

Oscillations are the most energetically efficient kind of movement. For this reason, all matter, not only each atom, but also the planetary system and our galaxy, oscillate and light is an unfolding oscillation and, naturally, the cells and organs of our bodies also oscillate

Based on their energy efficiency, oscillatory processes determine the organization of matter at all levels – from atoms to galaxies

In his most meaningful work, “World Harmonic”, Johannes Kepler established the bases for harmonic research. Building on the ancient musical ‘World Harmony’ of the Pythagoreans, Kepler developed a cosmology of harmonics.

Global Scaling research continues this tradition.

The Melody of Creation

Scaling arises very simply – as a consequence of natural oscillation processes. Natural oscillations are oscillations of matter that already exist at very low energy levels. Therefore they lose few energy, and likewise fulfill the conservation law of energy.

The energy of an oscillation is dependent on its amplitude as well as on its frequency (events per time unit)

Consequently, the following is valid for natural oscillations: The higher the frequency, the less the amplitude. For natural oscillations, the product of frequency and wave length as well as the product of frequency and amplitude are conserved. They limit the speed of propagation of oscillations in mediums, or the speed of deflection.

A standing wave in a homogeneous space arises only if in the direction of the wave penetration the space is finite and if the half wave length is equal to an integer part of the medium size.

As a consequence we can find for any low enough resonant oscillation mode frequency f0 a higher mode frequency f1 with an integer relationship n = f1 / f0. The frequencies of such resonant oscillation modes generate exponential series

Therefore, the complete resonant oscillation frequency spectrum can be represented as a set of logarithmic fractal spectra (1) with natural n = 1, 2, 3, … In this representation the generation of the complete resonant oscillation frequency spectrum can be understood as an arithmetical task, what can be reduced to the fundamental theorem of arithmetic, that every natural number greater than 1 can be written as a unique product of prime numbers.

In our example, the oscillation period of the 1. mode is three times longer that the period of the 2. mode, nine times longer than the period of the 3. mode and 27 times longer that the period of the 4. mode. From this follows the logarithmic, fractal, construction of the (repeating itself in all scales) oscillation representation. In this connection, one speaks of scale-invariance (Scaling). In nature Scaling is distributed widely – from the elementary particles to the galaxies. It is in this connection that one speaks of Global Scaling.

Natural oscillations of matter produce logarithmic, fractal spectrums of the frequencies, wave- lengths, amplitudes and a logarithmic fractal network of oscillating nodes in space.

In physical mediums, base-tones, upper- or undertones are produced simultaneously, and in this there arise consonances and dissonances. Not only our hearing can distinguish consonance from dissonance; this capability extends to all matter, and has to do with the energy expenditure necessary to produce an overtone.

A musical ‘Fifth’ arises most easily (the least expense of energy per oscillation period), because merely a frequency doubling and trebling is necessary in order to produce an overtone in interval of 3/2 of the base frequency. Somewhat more energy is necessary to produce a musical ‘Fourth’, 4/3, while this additionally requires a quadrupling of the base frequency; and even more energy is necessary for the production of the larger musical ‘third’, 6/5, of the same amplitude, and so forth.

The musical intervals accordingly play an energetic, key-role in the spectrum of the natural- oscillation-modes. In fact, this spectrum is constructed like the spectrum of a melody.

Natural oscillations of matter are probably the most important structure-forming factor in the Universe. For this reason one finds fractal proportions everywhere in nature. The logarithmic, fractal distribution of matter in the universe is a consequence of natural oscillation processes in cosmic, space and time measurement scales. In this connection, one speaks of the “Melody of Creation”.

Leonhard Euler: About Continued Fractions and FRactal Geometry

In the works “About Continued Fractions” (1737) and “About the Oscillations of a String” (1748), Leonhard Euler formulated problems whose solutions would keep the field of mathematics busy for 200 years.9

Euler investigated natural oscillations of an elastic, mass-less string of pearls. In connection with this task, d’Alembert developed his method of integration for a system of linear differential equations. Daniel Bernoulli asserted his known statement that the solution of the problem of the free-oscillating string can be represented as trigonometric sequence, something which started a discussion between Euler, d’Alembert and Bernoulli lasting a decade. Later, Lagrange showed more correctly how one arrives at the solution of the problem of oscillations of a string-of-pearls and the solution of the problem of a homogenous string. The problem-solution was first completely solved by Fourier in 1822

Almost insurmountable problems arose in the meantime with pearls of various mass and irregular distribution. This task led to functions with gaps (or voids). After a letter from Charles Hermite, May 20, 1893, who additionally added, “Reject in nervous horror the lamentable annoyance of the functions without derivative”; T. Stieltjes investigated functions with discontinuities and found an integration method for these functions which led to continued fractions.

Meanwhile, Euler already recognized that complex, oscillating systems can contain such solutions (integral) that themselves are not overall differentiateable, and left behind to the future mathematical world an analytical “monster” – that is, the non-analytic functions (this term was chosen by Euler himself).

Non-analytic functions provided ample and profuse study up to the 20th century, after the identity crises in mathematics, appeared to be conquered.

The crises began, and lasted until about 1925, when Emil Heinrich Bois Reymond, in 1875, reported for the first time about a Weierstrass constructed continuous, but non-differentiable function. The main players were Cantor, Peano, Lebesgue and Hausdorff; and as a result, a new branch of mathematics was born – Fractal Geometry.

About Fractals

Fractal comes from the Latin ‘fractus’ and means “broken-up-in-pieces” and “irregular.” Fractals are consequently distinct, fragmentary, tricky mathematical objects. Mathematics in the 19th Century considered these objects as exceptions and from there, tried to derive fractal-objects from regular, continuous and smooth structures.

The theory of fractal groups made possible in-depth investigations in “non-analytic”, manifold, granular or fragmentary forms. It immediately it becomes apparent that fractal structures are by no means so infrequently encountered in the world. More fractal objects are discovered in nature than ever suspected. Moreover, it suddenly seemed as if the entire natural universe were fractal.

Especially, works of Mandelbrot finally advanced the geometry to the position where fractal objects could be mathematically correctly described: fragmented crystal-lattices, Brownian motion of gas molecules, complex, giant polymer-molecules, irregular star-clusters, cirrus-clouds, the Saturn rings, the distribution of moon-craters, turbulences in fluids, bizarre coast-lines, snake-like river- streams, faults in mountain-chains, development branches of the most varied kinds of plants, surface areas of islands and lakes, mineral-formations, geological sediments, the distribution in space of raw-material-occurrences, and, and, and……

A deciding factor in the accurate treatment of fractal objects was the introduction of real and also irrational dimensions, in contrast with the whole-number dimensions of Euclidean Geometry.

Let’s consider an example: In Euclidean Geometry, a disappearing, small grain-of-sand has dimension 0. A line – dimension 1. But which dimension does sequence of grains-of-sand arranged one after the other?

The Euclidean point of view only knows boundary conditions: Either one proceeds on a wide path – until one cannot recognize anymore grains-of-sand and then assigns to this object the dimension 1, or one recognizes the grains-of-sand as objects of dimension 0. and while it is usually known that 0=0=…+0 = 0, the grains-of-sand, are likewise assigned dimension 0. That through this the essential is lost is obvious.

The first step of an in-depth analysis of this situation was undertaken by Cantor in his letter of June 20th, 1877 to Dedekind, the next was followed by Peano in 1890.

The mathematicians recognized that an accurate understanding of fractal structures could not be reached when one defines ‘dimensions’ as a number of coordinates. Therefore, in 1919 Hausdorff defined a new conception of dimension. The fractal (broken) dimension D completed the topological (whole-number) dimension through logarithmic values.

The fractal dimension of a grain-of-sand sequence of N grains-of-sand of the relative (In comparison to the total length of the sequence) size 1/k, where D = log(N) / log(k). Assuming a sequence of 100 grains-of-sand is 100 mm in length and the size of a grain-of- sand 1 mm. Then D = log (100) / log (100) = 1. However, if the sequence only consists of 50 grains-of-sand, then D = log (50) / log (100) = 0.849485. The fractal dimension D is, accordingly, a measure for the fragmentary nature of an object. The larger the gaps, the further D is from integer number values.

The application of the Hausdorff-Dimension in geometry now makes it possible to deal with not only completely irregular real mathematical objects, but at the same time provides the formula for the creation of home-made fractal creations. The creation of various Mandelbrot- und Julia-groups using the computer gave rise to a popular mathematical sport. The Mandelbrot-group is still today the object of non-resolved theoretical investigations. However, it is important that these through mathematics that their connections become visible, and are being investigated in the most varied of specialist fields.

Nevertheless, the fractal ‘Grain-of-sand’ sequence strongly reminds of Euler’s ‘String-of-Pearls.’ Both of these objects are fractal.

In 1950, the Leningrad mathematicians, F. R. Gantmacher and M.Krein regarded the line-of-deflection of an oscillating string of pearls as a broken line. This initial step even enabled them a fractal view of the problem, without which they were unaware (Mandelbrots Classic “Fractal Objects”, appeared in 1975 and was his first works of which 50 were in the field of Linguistics). They first brought the Fractal visibly into the situation, and to completely solve (and also for the most general case) the 200 year old Euler Problem of the oscillating “Sting-of-Pearls” for variable masses and irregular

In their work, “Oscillation-matrices, Oscillation-nuclei, and Small Oscillations of Mechanical Systems” (Leningrad, 1950, Berlin, 1960), Gantmacher and Krein show that Stieltjes-Continued- Fractions are solutions of the Euler-Lagrange equations for natural oscillating systems. These continued fractions produce fractal spectrums.

In the same year, the comprehensive work of Oskar Perron appeared “The Theory of Continued- Fractions.” The theme was also worked on by N. I. Achieser in his work, “The Classical Moment Problem and Some Associated Questions About the Analysis (Moscow 1961). Terskich generalized the (with regard to the contents) Continued-fraction method on the analyses of Fundamental-oscillating, branching chain-systems (Terskich, V. P., The Continued-fraction Method, Leningrad, 1955). Khintchine resolved the meaning of Continued-fractions in arithmetic and algebra (Khintchine, A. J., Continued fractions. University of Chicago Press, Chicago 1964).

Additional works by Thiele, Markov, Khintchine, Murphy, O’Donohoe, Chovansky, Wall, Bodnar, Kučminskaja, and Skorobogat’ko, etc. helped lead to the final break-through for the continued- fraction method, and in 1981 enabled the development of efficient algorithms for the addition and multiplication of continued-fractions.

Each real number – and also each measurable value – can be clearly represented as a ‘normed’ continued fraction (all partial denominators are 1). Finite, normed continued fractions converge to rational numbers. Infinite continued fractions converge to irrational numbers.

The simplest continued fraction generates the ‘Golden Number’ proportion. All of its elements are Supposedly this is why the ‘Golden Mean’ is so wide-spread in nature. The sequence {1, 1/2, 2/3, 3/5, 5/8, 8/13, 13/21, 21/34, …} produce the sequence of Fibonacci-numbers.

A quite special structure is exhibited by the continued fraction of the Euler-number e= 71828 … This continued fraction contains the sequence of all natural numbers and the sequence of all musical intervals.

The convergent Continued-fraction for e is composed of the reciprocals of the musical intervals (Prime 1/1, Octave 1/2, Fifth 2/3, Fourth 3/4, Major Third 4/5, Minor Third 5/6, ….).

The number 1 – and each other integer number – also can be represented as a continued fraction.

In its continued-fraction representation, every number is an oscillation-attractor. Khinchine could prove that convergent continued-fractions yield the best approximations of the irrational numbers because they themselves converge the most quickly on the eigenvalue of the continued-fraction.

Doctor Out of the Box (In Dutch)

Dit is een Powerpoint-presentatie uit 2013 gemaakt om te laten zien hoe slimme hulpmiddelen zoals semantic mining, sensors en proces-management  kan helpen om de processen in de gezondheidszorg te ondersteunen.

Er wordt gebruik gemaakt van Paths of Change (PoC) van Will McWhinney om het gebied in kaart te brengen. Dit gebeurt stap voor stap waarbij er iedere keer een nieuwe (medische) functie wordt toegevoegd.

Aan het einde van de presentatie worden alle stappen samengevoegd in een Gezondheidsarchitectuur die zowel voor de lichamelijke als de geestelijke gezondheidszorg bruikbaar is.

Paths of Change past op Interpersonal Theory een psychologische theorie die de mens beschouwd als een interne en externe relatie.

Diagnose is een verband tussen waarnemen (Zintuigen (Sensors), Ervaring)  en waarheid (Kennis). Op basis van de diagnose kun je acties ondernemen die allemaal passen op de algemene verbanden (de “paden“) in Paths of Change. De paden worden in het vervolg verder uitgewerkt.

Dit plaatje is bedoeld om de plek van Watson te introduceren. Watson maakt gebruik van Kennisbanken (een verzameling “waarheden”). Watson is toegespitst op de denkwijze van de specialist. De software doet een specialist na en geeft antwoorden op gestelde vragen.

Dit plaatje bevat een samenvatting van de werkwijze van Watson die door IBM DeepQA wordt genoemd. (QA staat voor Questions/Answers).

 

In de Diagnostiek worden de volgende aspecten van de Mens meegenomen.

Het is mogelijk om Watson (of een ander Semantisch Mining-tool) automatisch te koppelen aan een Proces-Bibliotheek waardoor er een Behandelplan kan worden gemaakt.

Aangezien er statistische methoden worden gebruikt ontbreekt vaak een menselijke verklaring van de uitkomst. Als het diagnose-hulpmiddel moet aansluiten bij een menselijke expert is dit van belang.

Het behandelplan kan worden gekoppeld aan een database met behandelaars.

en een netwerk met Ervaringsdeskundigen.

Op basis van (diepte)interviews met Ervaringsdeskundigen kan een levensloop-simulator worden gebouwd.

Een groot aantal (zo niet alle) meetinstrumenten van de arts kan worden vervangen door (draagbare) sensors, waardoor er als dat nodig is real-time kan worden gemeten.

Het plaatje geeft een globaal beeld aan van de ontwikkeling van de technologie de komende tien jaar.

Over Integrale Zorg en de Zelf-Ontplooiende Stad (In Dutch)

Dit document is in 2014 geschreven. Het is eerste instantie gebruikt om een nieuwe (meer sociale) strategie voor de ABN AMRO te ontwikkelen. Het is later gebruikt als discussie-stuk toen er sprake was van het oprichten van een coordinerend Centrum voor Vitaliteit in Regio Leiden (Project 071).

Dit centrum was bedoeld om lokale centra op te richten waarbij er aandacht werd besteed aan de samenhang tussen de geestelijke, lichamelijke, sociale en economische gezondheid van de mens in alle levensfasen.

Als laatste is een deel gebruikt als discussiestuk voor een Smart City-beleid in Den Haag. Hier werd aangetoond dat Smart City niet alleen een besturingsmodel is maar dat net als bij de Vitaliteit het lichamelijke, het sociale en het creatieve van de mens een rol moet spelen in het “slim” aanwenden van Smart Technologie. Een stad is net als de mens een organisme.

Het document is gebaseerd op de verander-methodiek Paths of Change (PoC) van Will McWhinney. De wereldbeelden van PoC hebben in dit document overal dezelfde kleuren: Blauw/Unity/Regels/Waarheid, Rood/Sensory/Waarnemen, Groen/Sociaal/Waarderen en Geel/Mythic/Verbeelden.

PoC maakt het mogelijk om met behulp van steeds hetzelfde model heel verschillende vraagstukken op te lossen.

1. Inleiding: Op weg naar de participatie maatschappij

In het verleden vond het contact tussen klant en bank meestal plaats in kleine wijkgebonden kantoren. De directeur van een vestiging fungeerde als steun en toeverlaat voor de kleine zakelijke- (MKB) en particuliere klanten. Op deze wijze werden de meeste financiële calamiteiten voorkomen.

Op dit moment heeft de bank de wijk verlaten en wordt de klant geacht gebruik te maken van geldautomaten en het Internet. Om dit waar te kunnen maken zijn de bankproducten gestandaardiseerd waardoor het autorisatieproces vrijwel automatisch en dus context-onafhankelijk plaatsvindt. Bankieren is niet meer een klantgedreven maar een datagedreven proces geworden.

Inmiddels is de overheid bezig om een groot deel van zijn sociale taken met aanmerkelijk minder geld over te dragen aan de stad die ze wijkgebonden maakt. De sociale taken van de overheid moeten dichter bij de burger worden gebracht en worden ondergebracht in een wijkcentrum of een winkelcentrum.

De traditionele kerken in Nederland krimpen omdat hun leden ouder worden en overlijden. Het diaconaat binnen de kerken houdt zich in zijn regio, meestal wijkgebonden, bezig met eenzamen, armen, zieken, werklozen en andere medemensen die een moeilijke tijd in hun leven doormaken. Door de krimpende kerk wordt de onbaatzuchtige hulp aan de medemens steeds minder.

Uit het diaconaat zijn vele organisaties ontstaan die dreven op giften, subsidies en vrijwilligers. Sommige van die organisaties, zoals ziekenhuizen en  de ontwikkelingshulp zijn sterk geprofessionaliseerd en hebben zich van hun wortels losgemaakt. Ze worden nog steeds grotendeels uit het overheidsbudget bekostigd.

De bijdragen uit het overheidsbudget die richting deze organisaties gaan worden minder en moeten volgens de overheid net als vroeger worden gecompenseerd door sociaal ondernemerschap, giften en de inzet van vrijwilligers.

Om hun hoge vaste lasten te kunnen dragen moeten de meeste partners beiden werken waardoor ze weinig tijd over hebben voor kinderen en hun oudere ouders. De zorg voor de kinderen wordt overgelaten aan de kinderopvang en de school.

De zorg voor de ouderen is uitbesteed aan de gezondheidszorg. Ook hier lopen de budgetten terug en moet de burger zich als mantelzorger gaan inzetten voor zijn zieke familie, vrienden en buurtgenoten.

De zowel qua inzet als financiering krimpende sociale hulpverleningssystemen zijn in deze tijd van crisis juist meer nodig dan in de tijd van hoogconjunctuur.

De enige manier om dit probleem op te lossen is door een totaal nieuwe weg in te slaan. Die weg kan gevonden worden door moderne technologie te koppelen met medemenselijkheid.

2. Introductie Paths of Change): De Mens is een Relatie

Paths of Change ontwikkeld door Will McWhinney rond 1980 blijkt relaties te hebben met hele oude inzichten die allemaal zijn gebaseerd op de vierdeling die eigenlijk een 2×2 (x2,..)deling is die begint met de Dualiteit Contractie (versimpelen, inpakken) en Expansie )complex maken, uitpakken), die samen werden vergeleken met het proces van Ademhalen.

We beginnen bij de mens zelf. Een mens wordt gekarakteriseerd door zijn persoonlijkheid. Die persoonlijkheid is een combinatie van drie kenmerken, n.l.

(1) Richting Rotatie: Introvert/naar Binnen gericht, Linksdraaiend (<-) vs Extravert/naar Buiten, Rechtsdraaiend  (->) gericht

(2) Afstand: Geheel/Observator Boven de Wereld vs Deel/Ervaren In de Wereld en

(3) Psychische Functie: De psychische functie wordt beschreven door twee variabelen die Agency (Besturing) en Communion (Verbinding) worden genoemd.

Ze vormen samen vier functies die ieder een andere richting op bewegen (bv. Geest, Naar Boven, Abstractie of Ziel, Naar beneden, Depressie, Aarde) en samen een richtingsvector bepalen die de mens als staande golf door de Tijd/Ruimte stuurt.

De persoonlijkheid van de  mens is een relatie tussen deze twee functies in combinatie met de Draairichting en de Afstand.

De functies worden Geest/Ordenen/Waarheid, Lichaam/Waarnemen/Handelen (Sensory Motor Systeem), Spirit/Verbeelden en  Ziel/Emoties/Waarderen/Samen, genoemd. Een combinatie tussen Verbeelding en Ordenen wordt een ontwerper genoemd.

Als er twee gelijke functies worden gekoppeld is de mens psychopathologisch. Het ordenen van het ordenen wordt bijvoorbeeld Paranoïde genoemd.

John Holland ontdekte dat de persoonlijkheid sterk voorspellend is voor het beroep. Daardoor kunnen we met behulp van bovenstaand persoonlijkheidsinstrumentarium ook veel zeggen over bedrijfsculturen.

Met als mogelijke verklaring dat mensen de geschiedenis maken blijkt het ook mogelijk te zijn om het model van de persoonlijkheid te gebruiken om korte en lange cycli te beschrijven en te voorspellen.

3.  De Mens in Crisis

De Life Event Scale van Holmes bevat de gebeurtenissen die de meeste invloed hebben op de mens. Deze gebeurtenissen kunnen meerdere van de psychische functies raken.

De psychische functies van de mens zijn tegendelen die elkaar aantrekken en afstoten. Het persoonlijkheidssysteem van de mens fluctueert daarom rondom een evenwichtspunt, het set-point genoemd. De krachten die tussen de verschillende onderdelen spelen en daarmee de bandbreedte van de golven zijn per mens verschillend. Sommige mensen (Kinderen, Ouderen, Zieken) zijn kwetsbaar.

Als een gebeurtenis een te hoge schok veroorzaakt reageert de mens in eerste instantie niet (freeze). Daarna volgt ontkenning en agressie (fight). Na een depressie begint men om de nieuwe situatie weer te waarderen, te exploreren en te accepteren.

De traumatische fase kan bij kwetsbare mensen vele jaren duren. In deze periode is men niet in staat tot productieve arbeid. Het is de kunst om extreme gebeurtenissen en de negatieve effecten daarop te voorkomen of te verhelpen. Dit kan gebeuren door therapie en verzekeren.

4. Sociale Netwerken zijn soms Sociaal

Mensen zoeken vergelijkbare mensen op en vergelijkbare mensen hebben vergelijkbare persoonlijkheden.

Aangezien persoonlijkheden erfelijk zijn vindt de meest voor de hand liggende koppeling plaats met familie en andere mensen die sterk (genetisch) op elkaar lijken. Dit wordt een Community of Affinity genoemd. De leden van Facebook vormen een dergelijk netwerk.

Linkedin is een hulpmiddel waar mensen hun interesses en inzichten delen (Community of Interest) en Wikipedia bevat gedeelde kennis (Kenniscentrum).

Ervaring ontstaat als mensen een fout maken en van deze fout leren. Een fout is een afwijking van een verwachtingspatroon. Een succesvolle vorm van ervaringsdelen is de zelfhulp-groep.

De sensory-motor component van de mens is expansief en is het complement (het tegendeel) van de ordelijke kant.

Terwijl de ordenende component steeds comprimeert (analyse) en daarmee de werkelijkheid versimpelt ontstaan er steeds weer nieuwe vormen van praktisch toegepast handelen die de werkelijkheid complexer maken. Netwerken waar ervaring wordt gedeeld worden een Community of Practice genoemd.

Als we naar de persoonlijkheidstheorie kijken zien we dat de deelnemers aan een Community of Affinity en een Community of Practice samenwerken terwijl ze in de andere netwerken als individu optreden.

Het concept van de coöperatie past perfect bij de sociale sociale netwerken.

De Communities of Practice leven niet lang. Het zijn veel meer tijdelijke projectorganisaties die na het behalen van hun doel weer worden ontbonden of worden overgedragen aan een producent.

5. Van Hulp naar Levensloopbegeleiding

Het leven is een introvert (“naar binnen gericht”) proces en begint en eindigt in een staat van volledige afhankelijkheid (Low Agency, High Communion, Wij).

In de eerste fase van de levensloop vindt het proces van socialisatie plaats,  eerst in de context van de ouders en later in de eigen groep (de cultuur).

In de pubertijd neemt de behoefte om zich los te maken van ouders en familie toe (Agency,Ze) en richt men zich vooral op gelijksoortigen (de peer-group).

Aangezien het “erbij horen” de hoogste prioriteit heeft neemt men onnadenkend ook veel negatief gedrag over en zet men zich zeer nadrukkelijk af tegen de gevestigde orde, de volwassenen.

Tijdens de pubertijd vindt de laatste training plaats voor de volgende fase. Als jongeren sterk negatief worden beïnvloed door hun soortgenoten wordt deze fase niet afgerond en worden ze een drop-out die moeilijk aan het werk komt.

De persoonlijkheid trekt zich niets aan van de levensloopfasen. Er zijn mensen die altijd kind of puber blijven of weer puber worden (midlife-crisis).

Aangezien de persoonlijkheid ook bepalend is voor het beroep is het mogelijk om in iedere fase van de levensloop begeleiding te bieden met de juiste leeftijd.

Theoretisch hebben oude mensen in het begin van hun fase nog genoeg energie en de meeste levenswijsheid. In een groot aantal culturen wordt hiervan gebruik gemaakt door het  drie-generatie-systeem te hanteren.

Het principe van het drie-generatie systeem wordt in Nederland gebruikt bij de begeleiding van mensen die socialisatie-problemen hebben (“Op eigen kracht”).

Het huidige schoolsysteem is nog gebaseerd op de tijd van de massaproductie van de Industriële revolutie en lijkt op de fabriek waarvoor de arbeiders en managers geschoold moeten worden om aan de lopende banden hun werk te doen. Deze tijd is definitief voorbij.

In de pubertijd gaat het om doen, ervaren en uitproberen. Kennis verzamelen is dan niet echt aan de orde. Die kennis kan men veel beter verkrijgen door te reflecteren. Reflectie vindt plaats als er iets mis is gegaan.

Aangezien kennis zeer snel verandert is het niet zinvol meer om preventief veel kennis te vergaren. Kennis kan just-in-time worden verkregen als men praktisch in de problemen zit of overzicht nodig heeft. Ze heeft dan ook een veel hogere retentie.

In de nabije toekomst gaan instrumenten of zichzelf bedienen of krijgen een simpel user-interface dat de gebruiker vertelt wat hij moet doen.

In de productieve fase (volwassenheid) wordt de mens bestuurd door en maakt hij gebruik van regelsystemen (“het”). In deze periode wordt hij geacht een buffer op te bouwen voor de tijden dat er niet kan worden geproduceerd. Een volwassen zorgt in eerste instantie van zijn leven voor zijn kinderen (en soms partner) en later voor zijn ouders.

6. Het Begeleidingssysteem

Ondersteuningsgroep

Rondom ieder individu wordt een sociaal netwerk gevormd dat bereid is om elkaar te helpen en indien nodig ook te waarborgen. In het algemeen bestaat dat netwerk uit naaste familieleden en vrienden. Het is de bedoeling dat deze groep zo vroeg als mogelijk is in het leven wordt gevormd en zo lang als mogelijk in stand blijft. Denk daarbij ook aan de oude functies van meter en peter.

Coach

Een Coach is een persoon die over praktische levenswijsheid beschikt. Het is iemand die zijn/haar loopbaanpad heeft verlaten en zich als vrijwilliger aanbiedt aan mensen die steun nodig hebben in het leven. Coaches kunnen door een persoon of door zijn ondersteuningsgroep worden gevraagd om te helpen. Een ondersteuningsgroep is een absolute randvoorwaarde om aan de slag te gaan. Een coach kan gebruik maken van een simulator om mogelijkheden te onderzoeken.

Case Manager

Een case manager is een rol die er voor zorgt dat een dringend probleem wordt opgelost. Case managers kunnen zich in allerlei instanties bevinden en kunnen daardoor fors langs elkaar heen gaan werken. Het is de taak van de coach om de probleemhebber (zijn “maatje”) te helpen om een dergelijke situatie te vermijden of te corrigeren.

Case-Management Systeem

Alle betrokkenen maken gebruik van één Case-Management-Systeem (CMS). Een CMS is een procesmanager die op basis van condities zijn werk kan doen. Met behulp van dit systeem kunnen afspraken worden vastgelegd maar ook andere partijen betrokken en aan hun afspraken worden gehouden.

Zelfhulpgroep

Een zelfhulpgroep is een groep mensen die in vergelijkbare omstandigheden heeft verkeerd en bereid is om anderen te ondersteunen met praktische raadgeving. Mensen kunnen deelnemen aan meerdere groepen.

Case

Een case is een gestandaardiseerd beschrijving van een situatie in combinatie met een niet gestructureerde beschrijving. In het laatste geval lijkt het op een dagboek.

Cases kunnen problematisch zijn en om een oplossing vragen maar ze kunnen ook een beschrijving zijn van een gebeurtenis (bv. een ongeluk, een ziekte, een verhuizing, een aankoop). Cases worden gebruikt om een kwalitatief historisch overzicht te krijgen eventueel aangevuld met kwantitatieve informatie. Cases worden zoveel als mogelijk is automatisch aangemaakt.

Verzorgers

Indien een ondersteuningsgroep onvoldoende tijd en mogelijkheden heeft om de benodigde hulp te bieden kan externe hulp worden opgeroepen. Die wordt toegevoegd aan de groep en communiceert ook met de groep.

Specialisten/Hulpmiddelen

Indien nodig kan een case manager tijdelijk of permanent specialisten of hulpmiddelen toevoegen om de case op te lossen.

Kennissystemen/Deskundigen

Indien nodig kan een case manager tijdelijk of permanent deskundigen en kennissystemen tijdelijk of permanent toevoegen om de case op te lossen.

7. Financiering van de Levensloop

Het lichaam is verbonden met kort cyclische zon- en maanritmen zoals de dag, de maan/maand en het jaar (de seizoenen). Het gedrag is meetbaar (sensors), sterk voorspelbaar en daardoor budgetteerbaar mits er geen sprake is van verslaving, de behoefte van het lichaam om eindeloos te genieten.

Het complement van het lichaam, de geest, zoekt zekerheid en zoekt en formeert voorspelbare lange termijn patronen (soms een onderneming genoemd) die zich tonen in de vele economische cycli (Kitchen, Juglar, Kuznets, Kondratiev, …).

Aangezien de patronen onderhevig zijn aan verstoringen moet men ze niet als een absolute zekerheid gaan hanteren. Cycli herstellen zich altijd weer.

De korte cycli moduleren op lange cycli en hebben een voorspelbare verhouding (één Kondratieff = drie Kuznets= zes Juglars = twaalf Kitchens).

De Kontratiev-cyclus duurt +/- 54 jaar wat betekent dat de gemiddelde mens in zijn leven altijd profiteert van voorspoed en tegenslag. Dit betekent dat men met behulp van een lange termijn planning en een adequaat sociaal netwerk de cycli ongehavend door kan komen.

Sommige mensen hebben last van teveel geluk, teveel ongeluk, teveel passie of teveel wantrouwen om flexibel om te gaan met de toekomst.

In dat geval kunnen er voor deze mensen ondersteunde systemen worden ontworpen die zowel het geluk als het ongeluk delen door elkaar een waarborg te verlenen of elkaar te helpen in het besturen van het levenspad.

8. Smart Computing: De Mens in de Machine

Software gaat steeds meer psychische functies van de mens overnemen waardoor er uiteindelijk volledig autonome systemen zullen komen.

Op dit moment zijn vooral patroonherkenning (Big Data) en sensors gekoppeld aan procesmanagers (‘robots”) bruikbaar.

In de volgende stap kan de mens zich gaan koppelen aan zeer krachtige simulatoren die aan de ene kant de buitenwereld voorspelbaar zullen maken (“Early Warning”) en aan de andere kant een persoonlijke fantasiewereld (“het Holodeck”) kunnen maken waarin de mens eindeloos kan doorbrengen.

In de laatste fase kan de mens zich voorzien van lichaamssensors die het onbewuste zullen gaan ontsluiten.

Producten zullen worden gestandaardiseerd middels onderling gekoppelde product-configurators waarmee de klant kan gaan spelen (of andersom).

9. Van Coöperatie naar Banking Robot

Bankieren is heel oud. In de code van Hammurabi (1700 v Chr) werd er al gesproken over verzekeren. Rond 1200 ontstonden in Italië de handelsbanken.

De Treasury voortgekomen uit het graanpakhuis van Hammurabi is de functie binnen de bank die moet zorgen voor de levensloopbegeleiding van de bank door te zorgen voor een goede balans tussen sparen (productie) en lenen (consumptie) op zowel de korte- als de lange termijn.

Bankieren was tot 1900 uitsluitend voorbehouden aan de welgestelden. Rond die tijd ontstonden er twee nieuwe bankvormen die zich gingen richten op het vergaren van vermogen onder de minder draagkrachtigen (Giro & Postspaarbank) en het besturen van collectieve bedrijven en het dragen van collectieve risico’s (Raiffeisen, de Coöperatie of Onderlinge Waarborg Maatschappij).

De Consumptiebank (Bank van Lening) kreeg een enorme impuls toen de arbeiders in de jaren zestig verplicht werden om een salarisrekening te openen. Vanaf dat moment raakten de Nederlanders hun vrees om te lenen en te spenderen kwijt. Deze ontwikkeling werd natuurlijk sterk geholpen door de opkomende Kondratieff-golf.

Aan het eind van 20e eeuw hebben de banken geprofiteerd van de verder oplopende economie en hebben daarbij vergeten om een geldvoorraad voor de slechte jaren op te bouwen. Dit geldt natuurlijk niet alleen voor de bank zelf maar ook voor zijn klanten.

Rond 2000 op de top van de golf werd door de ontwikkelaars van de handelsbank Binck-Bank, Knab gelanceerd als een nieuwe vorm van klantgericht bankieren (Personal Financial Planning).

Knab probeert om de nieuwe mogelijkheden van de IT-technologie ten volle aan te wenden. Tot op heden slaat deze moderne vorm van bankieren niet erg aan omdat de klant de diensten te duur vind. Het grootste probleem is natuurlijk dat deze bank geen aansluiting krijgt bij de duurzame socialen, de expanderende genieters en de comprimerende zekerheidzoekers.

Het ligt in de lijn der verwachting dat rond de tijd van de Singularity de bank zich zal hebben getransformeerd in een begrijpend pratende alleswetende bankrobot die perfect waakt over de belangen van de klant. De teerling voor een Dr.Watson-bank is deze maand door IBM samen met de DSB-bank in Singapore geworpen.

Het lijkt er op dat deze ontwikkeling wel eens sneller kan gaan dan men denkt omdat IBM wederom een miljard dollar heeft gestoken in de toepassingen van zijn Dr.Watson-technologie. Deze investering zal vooral worden besteed aan het verbeteren van de medische Dr.Watson.

Dr. Watson ook wel Semantic Analytics genoemd kan in korte tijd eindeloos veel kwalitatieve (tekst, plaatjes) en kwantitatieve data tot zich nemen, patronen ontdekken,  logische redeneren en praten.

Om de uitdagingen van de komende cyclus-periode aan te kunnen zullen de banken zich moeten gaan concentreren op het balanceren van hun eigen geldvoorraden en daarmee ook de waardenvoorraden van hun klanten. Dit kan alleen als ze zich gaan bezighouden met de volledige levenscyclus.

Dit betekent dat een bank niet alleen alle soorten dienstverlening moet gaan bieden maar ook alle soorten banken onder één noemer moeten zien te brengen.

In dat kader zal de bank ook weer een sociale kant moeten gaan tonen.

We hebben gezien dat deze kant van het bankwezen zich in het verleden heeft getoond in de coöperatie en de waarborgmaatschappij. Deze banktypen zijn grotendeels verdwenen en hebben zich getransformeerd in een “normale” bank en verzekeraar waarbij de inbreng in het beleid van de klanten niet groot meer is.

Het herstellen van de klantbetrokkenheid (zie Knab) is een “hot issue” en “customer co-creation” staat hoog in de trend top tien.  Daarnaast rijst het aantal nieuw opgerichte kredietunies de pan uit en is de regering al druk bezig om deze vorm van onderlinge solidariteit een wettelijke basis te geven.

Het ligt dan ook voor de hand om onderlinge solidariteit (“de naaste”) weer als uitgangspunt te nemen voor de mensen die dat willen en dat zijn de mensen met een sociale persoonlijkheid.

10. Integrale Gezondheidszorg

We zijn weer terug bij het verdwenen bankkantoor in de wijk. Het stond in een winkelcentrum waar inmiddels door de snelle opkomst van de Internetwinkels alleen nog de lichaamsgerateerde kort cyclische retail aanwezig is.

De kans is groot dat die zich zelfs op den duur terugtrekt als de winkel-logistiek zich volledig heeft aangepast aan het aan huis bezorgen.

Vaak is zo’n winkelcentrum gekoppeld aan een gezondheidscentrum dat zich nu ook druk moet gaan maken over de psycho-sociale zorg. De overheid heeft bedacht dat de huisarts in de wijk in samenwerking met de wijkverpleegkundige moet gaan optreden als personal case-manager.

Opvallend is dat de economische gezondheidszorg (de armenzorg) nog grotendeels een kerkelijke aangelegenheid is. Er zijn vele organisaties die de hulp van levenswijze “maatjes” aanbieden om mensen te helpen ook economisch orde op zaken te stellen.

Wat tot op heden nog volledig ontbreekt is een integrale benadering. De vele professionele hulpverleners (“de sociale kaart”) en vrijwilligers werken notoir langs elkaar heen,  het aantal specialismen is sterk gegroeid waardoor ieder probleemhokje een eigen loket heeft en men kan door de soms zeer complexe vaktaal moeilijk onderling communiceren.

Wat vaak wordt vergeten is dat er naast hulpverleners en vrijwilligers ook nog commerciële partijen zijn die belang hebben bij een gezonde medewerker of klant.

Die belangen worden bij voorbeeld gedragen door Arbo-diensten, Verzekeraars en Banken die schadeclaims moeten afhandelen en natuurlijk ook voorkomen. Een vergaande samenwerking rondom het wijkgebonden integrale gezondheidscentrum ligt voor de hand.

Het is hierbij van belang om te beseffen dat de technologie veel werk uit handen kan nemen zodat de mens zich volledig kan richten op het persoonlijk contact zowel in de vorm van een gesprek als van de zorg zelf (totdat de zorg-robot zich aandient).

11. De Zelf-Ontplooiende Stad

Een stad is een verzameling gebouwen, waarin mensen samenwonen, werken, worden verzorgd of plezier maken. De mensen en de gebouwen zijn verbonden door allerlei soorten netwerken (energie, vervoer, telecommunicatie, sociale netwerken, waardeketens, ..).

De stad kan net als het Integrale Gezondheidscentrum verdeeld worden in vier onderling verbonden onderdelen n.l Besturing, Bedrijvigheid, Sociaal en Cultureel.

Boven de Stad kan een Monitor worden gedefinieerd die erg veel lijkt op het menselijke bewustzijn. De Monitor moet er voor zorgen dat de verschillende onderdelen niet te dominant worden.

De vier onderdelen kunnen weer worden opgesplitst in vergelijkbare onderdelen waardoor er in totaal (1+4) x 12 = 60 onderdelen kunnen worden gedefineerd. Die onderdelen kunnen als nodig is nog veel dieper kunnen worden opgedeeld als we de mens weer opsplitsen in bijv. organen en de organen weer in cellen. Op ieder niveau gelden dezelfde wetten.

LINKS

Over Slimme Software

Over de Stad

Over Paths of Change (PoC)

Over Grammers of Engagement

Over Roeping

Over Verslaving

Over Communities of Practice

Over de Magie van de OnKwetsbaarheid (in Dutch About Anti-fragility

This is the same blog in English.

Deze blog is het gevolg van een  presentatie over Anti-Fragility die ik op 7-9-2016 heb gegeven voor de sofware-architecten van de KNVI (Koninklijke Nederlandse Vereniging van Informatieprofessionals).

De presentatie in 2016 begon met een verhaal over mijn Smart City-project in Den Haag (“Smart Urban Space”). Dit stuk van de presentatie is hier weggelaten op de conclusie na over de Anti-Fragiele Stad. Die conclusie staat in Hfdst. 15.

Het verhaal over de Zelfontplooiende Stad staat hier.

0. Over Anti-Kwetsbaarheid

Nassim Taleb beweert dat er geen woord in het Engels bestaat voor het omgekeerde van Fragility (kwetsbaarheid). Daarom heeft hij het zelf gemaakt (Anti-Fragility, anti-kwetsbaarheid). In het Nederlands bestaat het woord wel alhoewel het net als in het Engels ook een niet-(on/anti)-woord (“een tegendeel”) is.

Het omgekeerde van Fragility is onkwetsbaarheid, een mythisch begrip, waar veel levenden naar op zoek zijn geweest maar dat alleen aan de Goden is (of was?) voorbehouden.

Taleb plaatst Anti-Fragility vooral in het scheppende perspectief. Met Anti-Fragility kun je chaos gebruiken om je eigen orde te scheppen.

Dit document bevat een zoektocht naar Anti-Fragility langs allerlei modellen die stukjes van de puzzel bevatten.

1. Over de Phoenix, het Symbool van Veerkracht

Op het plaatje houden Thoth, de Uitvinder en Ma’at, de Godin van de Balans, de Levensboom (de Ished) in Evenwicht.

De vruchten van de Boom des Levens gaven Eeuwig Leven (en dus Onkwetsbaarheid) en Inzicht in het Grote Plan.

In de top van de Boom die gesitueerd was in Heliopolis  zat de Bennu Vogel, de Magische Phoenix. De Vuurvogel die uit haar eigen Vuur herboren wordt is het Symbool van Nassim Taleb voor Veerkracht, het laatste stadium voor anti-kwetsbaarheid.

De tovenaar Thoht wordt ook wel Djehuti genoemd. Hij is de bestuurder van de Djed, de levenskracht (“het Vuur van de Phoenix”, de Kundalini), waarmee hij het Rad van Avontuur in beweging  zet dat door Ma’at binnen de perken wordt gehouden.

Het mag duidelijk zijn dat Nassim Taleb op zoek is naar de bron van de Levenskracht en de beperkingen van Ma’at (Balans) wil ontlopen.

In moderne terminologie wil Nassim permanent in de “Edge of Chaos” (“de Adjacent Possible“, Kauffman) opereren. De “edge” is het gebied tussen orde en chaos waar de nieuwe ruimte wordt gevormd en de tijd zijn werk nog niet kan doen.

2. Citaten Nassim Taleb

Cursief een aantal citaten van Nassim Taleb om in de stemming te komen:

Our brain is not cut out for nonlinearities. People think that if, say, two variables are causally linked, then a steady input in one variable should always yield a result in the other one. Our emotional apparatus is designed for linear causality.

Wind extinguishes a candle and energizes fire. You want to be the fire and wish for the wind. …The mission is how to domesticate, even dominate, even conquer, the unseen, the opaque, and the inexplicable.

It takes a lot of intellect and confidence to accept that what makes sense doesn’t really make sense.

For a free person, the optimal – most opportunistic – route between two points should never be the shortest one.

Not seeing a tsunami or an economic event coming is excusable; building something fragile to them is not.

The ultimate freedom lies in not having to explain “why” you did something.

The best choice is the one that remains for no good reason while other options have 2 or more reasons.

You get pseudo-order when you seek order; you get a measure of order and control when you embrace randomness.

In fact, every step is a new beginning. 

3. Introductie

Dit document is een persoonlijke zoektocht naar anti-fragility, een concept bedacht door de auteur/wetenschapper/filosoof/geldhandelaar Nassim Taleb. Anti-fragility is het omgekeerde van kwetsbaarbaarheid (fragile).

Taleb is een liefhebber van het omgekeerde en van kunstige metafoor (“The general principle of antifragility, it is much better to do things you cannot explain than explain things you cannot do.”).

Nassim zet zijn lezers graag op het verkeerde been suggererend dat dat het goede been is. Door het omgekeerde te nemen laat hij de grenzen zien van het dagelijkse en opent daardoor een nieuwe wereld die grotendeels onbegrijpelijk is maar wel degelijk mogelijk (“I want to live happily in a world I don’t understand”).

De zoektocht maakt gebruik van wat ik “mapping” noem, het springen (“afbeelden“) van model naar model waarbij het basismodel, Paths of Change,  steeds meer wordt verrijkt met details die zich rondom het kernthema (on-kwetsbaarheid) ophopen.

4. Het Basis-Model, Paths of Change

Paths of Change (PoC) beschrijft veranderprocessen en is ontwikkeld door Will McWhinney.

De methode maakt gebruik van het concept wereldbeeld (worldview), een specifieke kijk op de wereld.

PoC gebruikt vier onafhankelijke  wereldbeelden:

  • Sensory (waar-nemen / handelen/ ervaring/ rood),
  • Unitary (waar-heid /kennis /systeem /blauw ),
  • Mythic (weer (waar?)-geven  / idee/ inzicht/ geel) en
  • Social (waar-deren /waarde /groep / groen).

Een verandering is een cyclisch proces dat minimaal twee wereldbeelden doorloopt. Als voorbeeld, het wetenschappelijke veranderproces, koppelt unitary (waar-heid) aan sensory (waar-nemen) en vice-versa.

PoC is een fractaal-systeem (zelf-referentie, herhaling zelfde model). De basisvorm, de golf, herhaalt zich op ieder schaalniveau. Er zijn vele golven met een verschillende periodiciteit (frequentie).

Cycli van verschillende periodiciteit versterken of beperken elkaar. Omhoog en omlaag van gelijke waarde heffen elkaar op.

Een golf lijkt op een Sinus en bestaat uit een weg omhoog (mythic), de top (unitary), de weg omlaag (sensory) en het dal (social, depressie) waar vandaan de weg omhoog weer start.

De wiskundige Fourier heeft aangetoond dat alle functies kunnen worden beschreven als een verzameling van sinussen en cosinussen. Een cosinus is een vertraagde sinus.

Een Sinusvorm bevat twee tegenstellingen (omkeringen) n.l. richting (omhoog/omlaag) en evenwicht (top/dal).

Richting en (&) evenwicht vormen samen het geheel. Ze worden elkaars complement genoemd. Een systeem dat bestaat uit twee opponenten en complementen wordt een Quaternio genoemd.

Een voorbeeld van de Quaternio in het basismodel van PoC is de link waar-nemen (Sensory) vs weer-geven (Mythic). Weer of waar betekent aandacht. De kruisen in het model gaan over tegenstellingen.

Quaternions hebben een hele rijke historie in de geschiedenis van de wetenschap en zijn door de psycholoog/filosoof Carl Jung weer op de kaart gezet.

Een Quaternio biedt de mogelijkheid om met een concept te spelen door complement en opponent te onderzoeken.

Het is duidelijk dat Taleb een expert is in het spel van omkeren en confronteren. Zijn hoogste doel is om de lezer zodanig in de war te brengen dat hij zelf het Licht ziet.

Er zijn veel  vergelijkbare Quaternio’s (“vierluiken”). Die kunnen worden gebruikt om een toegespitste kijk te introduceren in een discussie. Door ze steeds te relateren (“mappen”) aan het PoC-model kun je een meer-dimensioneel plaatje schetsen.

Bovenstaand Quaternio komt uit de Grid/Group-theorie. Er worden twee variabelen gebruikt die een dualiteit zijn n.l. individu en niet-individu (groep) en vrije keuze (prescribing) en niet-“vrije keuze” (prescribed). Hierdoor vormen ze samen een Quaternio.

PoC is te beschrijven met de variabelen Communion en Agency, waarbij Agency lijkt op de Vrije Keuze-variabele maar dan andersom n.l. het effect van Agency is vrije of niet-vrije keuze en de groep-variabele lijkt op Communion (Samen vs Niet-Samen).

De Grid/Group-theorie is onder meer gebruikt bij het ontwerpen van Panarchy, een theorie over autonome processen. Panarchy wordt in Hfdst. 9 geintroduceerd.

De verbindingen tussen de wereldbeelden kunnen worden benoemd. Plan (Unity) -> Praktijk (Sensory) wordt Maken genoemd en Praktijk->Plan (Theorie, Unity) wordt Analyse genoemd.

Unity comprimeert (M->1) en Sensory expandeert (1->M).

De vier onderdelen van PoC kunnen weer worden ingedeeld volgens hetzelfde model. Dit noemt men zelf-referentie of schaal. In het plaatje wordt de persoonlijkheid opgeblazen tot een stelsel van Communities. Een Community of Practice heet een bedrijf.

De rechtsdraaiende cyclus is de Productie-cyclus. De linksdraaiende cyclus is de Consumptie-cyclus.

De kleuren in de plaatjes geven de relatie aan met PoC.

5. De Definitie van Anti-Fragility

Het concept anti-fragile is bedacht door Nassim Taleb en staat in de titel van zijn boek Antifragile: Things That Gain From Disorder. Anti-fragile is de antithese van fragile (kwetsbaar). Hoe meer wanorde hoe beter het anti-fragiele systeem werkt.

Een fragiel systeem is zwak dus zou je zeggen dat een anti-fragiel systeem sterk is (Robuust). Nassim Taleb gooit er nog een paar scheppen bovenop. Als je anti-fragiel bent ben je blij als er iets goed mis gaat want dan wordt het gewin groter.

Tussen fragiel (kwetsbaar) en anti-fragiel (onkwetsbaar) definieert Taleb de concepten anti-agile (niet aanpasbaar, rigide) en agile (aanpasbaar) met robuust (resilient, veerkrachtig) als midden categorie.

Anti-Fragiel worden is eigenlijk onmenselijk vandaar dat Nassim zoveel referenties geeft naar mythische voorbeelden (Phoenix (Robuust, Veerkracht), Hydra (Anti-Fragiel), een veelkoppig monster, dat meer koppen terugkrijgt als een kop wordt afgehakt).

Anti-fragile: is het vervolg op zijn bestsellers Fooled by Randomness, en The Black Swan: The Impact of the Highly Improbable.

Black Swans zijn onvoorspelbare gebeurtenissen waar je je volgens Nassim tegen kunt wapenen door het systeem robuust te maken.

Fragiele systemen hebben maar twee standen n.l. (0): Heel (H) en (1): Kapot (K). Organismen zijn veerkrachtige systemen.  Ze hebben 2×2 standen (HH (00 =0), HK (01 = 1), KH (10 =2), KK  (11=3)-> Hh->H , HK, KH, KK->K) en zijn cyclisch (0, 1,2,3.0,1,2,3,0,…).

Anti-Fragiele systemen zijn het product van een evolutionair proces. Evolutionaire systemen hebben 2**2**n standen en tonen zich als een spiraal.

In fact, the most interesting aspect of evolution is that it only works because of its antifragility; it is in love with stressors, randomness, uncertainty, and disorder — while individual organisms are relatively fragile, the gene pool takes advantage of shocks to enhance its fitness.

Onderstaande plaatje toont de Involutie (convergentie van de Evolutie) van de Spiraal van het Universum van de Big Bang tot en met het ontstaan van de Sociale Systemen.

Als een fragiel systeem kapot gaat kan de nieuwe staat iets heel anders doen dan vroeger of helemaal niets doen. In dat geval passen de brokstukken niet meer in elkaar.

Een fragiel systeem kan door een grote verstoring anti-fragiel worden omdat de componenten anders worden geordend en ook zelf worden aangepast.

Een niet-veranderbare (anti-agile, rigide) ecologie weerstaat een verstoring.

Een veerkrachtige (robuuste) ecologie herstelt zich maar verandert niet.

Een veranderbare (agile) kwetsbare (fragile) ecologie valt na een grote verstoring uit elkaar, ordent de brokstukken op een andere manier en blijft hetzelfde doen (“functional redundancy”).

Een onkwetsbare ecologie doet iets nieuws met nieuwe brokstukken. Het is de vraag of nieuw beter is. Het is ieder geval anders.

6. Over Rampen: Black Swans en Dragon Kings

In tegenstelling tot Nassim Taleb is Didier Sonnete van mening dat er naast de Black Swan nog een ander soort ramp bestaat, de Dragon King.

Black Swans ontstaan door Self-Organized Criticality, “de druppel die de emmer doet overlopen”, de eerste steen die een lawine, een kettingreactie, doet ontstaan. Een kettingreactie duidt op een systeem dat te geïntegreerd is. Alles hangt met alles samen.

Het moment waarop de lawine ontstaat is niet met zekerheid te voorspellen maar de verdeling van de grootte van lawines vertoont een z.g. powerlaw-verdeling (de 80/20-regel, Pareto-principe). Een powerlaw-netwerk heeft heel veel kleine knooppunten en een paar grote “hubs”, die als magneet fungeren voor de kleintjes.

Dragon Kings ontstaan omdat er door synchronisatie min of meer gelijke (homogene) sterk gekoppelde (coupling) objecten gaan ontstaan die zich als een geheel volgens een vast ritme gaan gedragen (kuddegedrag).

De kudde drijft het systeem tot enorme hoogte (“een hype”, “bubble”) waarna het in elkaar stort en een tsunami start die veel opgebouwde waarde vernietigd. Dit wordt positieve feedback genoemd.

Synchronisatie forceert homogeniteit. Ongelijke onderdelen gaan in het geheel op elkaar lijken. Voorbeelden zijn verliefdheid, mensenmenigten (“meutes”), vogelzwermen, bacteria, hersenen, files, het weer en economische bubbles.

7. Stroomsystemen en Constructal Law

Het energieverschil, het potentieel, tussen de ritmische input van de zon en de output  van de ritmisch roterende aarde (via reflectie), wordt omgezet in geordende (geconfigureerde) ritmische (cycli) beweging (stroom systemen, bijv. het weer, de waterkringloop in de zee, …).

Het ritme van de zonnecyclus veroorzaakt grootschalige synchronisatie op aarde.

Als het potentieel te laag is komt de beweging tot stilstand (uitputting). Een blokkade van een aantal stroompaden kan een infarct doen ontstaan waardoor de stroom zich ophoopt en blokkeert. Op den duur wordt de blokkade (“doorbraak”) weer opgeheven als de bron maar blijft bestaan.

Een te grote stroomlijning van de rivierdelta veroorzaakt bij een te groot aanbod overstromingen. Hierdoor gaat de stroom anders lopen (bypass). Een rivierdelta is een combinatie van vele stagnaties die plotseling door de grote druk die zich bij het knooppunt ontwikkeld een bypass veroorzaken.

Tussen stagnatie en vrije stroom bevindt zich een persistent model dat een optimalisatie is van vele variabelen (i.h.a de lengte van de stroom). Dit model, de boom,  komt steeds terug.

Constructal Law is een onderdeel van de Thermodynamica. Ze laat zien dat stroomsystemen allemaal hetzelfde fractale “boom”-patroon vertonen op ieder schaal-niveau (hersenen, longen, bloedvaten, boom, rivier, stad,…).

Het model van Paths of Change bestaat eigenlijk uit vier aan elkaar gekoppelde bomen die 90 graden zijn geroteerd.

Unity is de Boom van de Hiearchie, Sensory is de Boom van de Causaliteit, waarbij een oorzaak vele gevolgen kan hebben.  Social zijn de Wortels van de Boom en Mythic is het omgekeerde van Social. Uit het Vele komt de Eenheid voort.

In zijn totaliteit lijkt het op een centrum (de Leegte) waaruit paden voortvloeien die alle kanten op stromen. Dit model is het gevolg van een systeem zonder weerstand.

Hier toont zich de Levensboom van Thoth en Ma’at maar ook de Uhrplant van Goethe die de wetenschap van de Morphologie (de Vormkunde) in gang heeft gezet.

De essentie van Constructal Law is dat de stroomsystemen in de vorm van boomstructuren op den duur alle weerstand verwijderen zodat ze steeds beter kunnen stromen. Die weerstand wordt gevormd door de vormen die “oude” stroomsystemen hebben geproduceerd.

Dit betekent dat de cyclus sneller gaat bewegen, het boom-object kleiner wordt (maar wel deel blijft uitmaken van een groter object (dat weer deel uit maakt van een nog groter object (via de fractale wetten)))  en de vorm van het object meer gestroomlijnd wordt gegeven het medium waarin het zich bevindt (vissen (water), vogels (lucht), zoogdieren (land)).

Volgens de Constructal Law zijn de organismen maar ook de hulpmiddelen van de organismen (vliegtuigen, boten , auto’s,…) allemaal een gevolg van de rotatie (in de rotatie, in de rotatie) die het overschot aan energie van de zon heeft veroorzaakt.

8. Vitaliteit, een voorbeeld van een Spanningsveld

Vitaliteit is een verband tussen diversiteit (veerkracht) en efficiency (orde). Als er teveel is gestroomlijnd wordt het totale gekoppelde systeem gevoelig voor verstoring (fragiel, breekbaar (brittle)).

Door het uitvallen van een elektriciteit-centrale vallen alle centrales uit of door een virus valt een groot deel van de software uit (collapse). Andersom levert een te grote diversiteit een te lage samenhang (connectivity) op en werkt er niets meer samen (stagnatie, chaos).

Vitaliteit is een voorbeeld van een spanningsveld (Efficiency (Alles gelijk) vs Diversiteit). Als je dieper analyseert blijkt dat alle problemen ontstaan door spanningsvelden die niet in het midden, in balans, verkeren omdat ze met grote moeite in balans kunnen komen.

De ene en de andere kant zijn meer waarschijnlijk maar veroorzaken zulke grote problemen dat een ander spanningsveld ze weer oplost.

Aangezien de spanningsvelden samenhangen middels spanningsvelden is de wereld een systeem dat in wankel evenwicht verkeerd en dat uiteindelijk tot een punt in een kruis kan worden teruggebracht. Dat punt is het scharnierpunt waarom alles draait.

9. Panarchy, de Fusie van Pan & Anarchie?

De hoofdstukken 4 t/m 6 laten een aantal samenhangende onafhankelijke variabelen zien die een spanningsveld zijn n.l. (1) Verbondenheid (2) Vitaliteit (3) Orde en (4) Potentieel. Die variabelen komen ook voor in het model achter Panarchy.

Panarchy is een fusie tussen Pan, de God van de Natuur en Anarchie, een  niet van boven gestuurde organisatievorm. Panarchy gaat over Autonome processen in de Natuur.

Panarchy is een cyclisch 4-dimensionaal model (een spanningsveld tussen Vorm & Proces) van de ontwikkelingen (de stromen) die een ecologie doormaakt.

De vorm van de cyclus is het cijfer 8, de Möbius-ring. De ring is een 2-Dimensionele band in een 3-D-ruimte die geen boven- en onderkant heeft maar die suggestie wel wekt.

De ring kan worden onderverdeeld in vier fasen die overeenkomen met de cyclische ontwikkeling van een organisme van geboorte tot dood.

De fasen zijn:

(1) geboorte en groei (opbouwen potentie en verbondenheid, groen/blauw), Vanuit het diepste punt (“de depressie”) ontstaat er weer samenhang. De samenhang produceert en consumeert hulpbronnen waarbij er veel meer wordt geproduceerd dan geconsumeerd. Er is nog genoeg ruimte om te groeien en om voorraden te maken. Vanuit het overschot ontwikkelt zich een besturingssysteem (een elite) die vooral zorgdraagt voor consensus. De onderdelen staan in dienst van elkaar.

(2) conserveren (behoud huidige situatie prioriteit, veel te veel connecties, geen mogelijkheid voor nieuwe paden, systeem wordt broos en breekbaar, er ontstaan  verschillende breuklijnen, diversiteit neemt toe, blauw/geel): Het systeem verbruikt vrijwel al zijn hulpbronnen om zich in stand te houden. Er vindt geen innovatie plaats en het verleden wordt belangrijker als de toekomst.

(3) ineenstorten en uit elkaar vallen  (geel/rood): Uiteindelijk valt het geheel uiteen in brokstukken die niet echt op elkaar aansluiten. Er werkt niets meer samen en het systeem komt tot stilstand.

(4) herordenen en opnieuw beginnen (rood/groen): De brokstukken worden weer aangepast en samengevoegd en een nieuwe cyclus begint.

Iedere faseovergang wordt afgesloten met een fase-specifieke ramp omdat er steeds op een andere manier “door de bocht” wordt gegaan.

Het model van de ecologie herhaalt zich op verschillende schaalniveaus. Stromen op een hoger niveau zijn groter en stromen langzamer.

De verschillende schalen (bijvoorbeeld mens, sociaal netwerk, stad, zie verder Hfdst. 15) hebben relaties die omhoog (revolutie, geel/blauw) en omlaag (herinneren/terugval, blauw/rood) springen.

Onderstaand plaatje toont het Panarchy-model geprojecteerd op het PoC-model.

Een aantal observaties:

(1) De Mobius-Ring toont zich hier ook,

(2) Er is een symmetrie tussen Blauw/Geel en Rood/Groen. Aangezien PoC een Quaternio is, zie je hier dat de opposities via de kruislijnen Groeien en Reorganiseren lopen. Groeien gaat van Dieptepunt naar Top en Reorganiseren gaat van Stijgen naar Dalen. Beiden gaan in tegengestelde richting Neer->Op vs Op->Neer, een Golf.

(3) Er is een symmetrie tussen Blauw/Rood (Analytic Game, Maken/Analyseren) en Geel/Groen (Emergence, Inzicht in Waarde, Waarde van een Inzicht).

Het Analytische Spel (Unity <-> Sensory) is een mensenspel. In een Ecologie wordt dit niet gespeeld. Het spel ontstaat via de terugkoppeling naar een hogere orde. Dat komt omdat we bij het Ontwerpen altijd veel te abstract denken en een aantal stappen terug moeten doen om de realiteit weer te bereiken. Thoht wordt altijd weer teruggefloten door Ma’at.

Taleb: “We have the illusion that the world functions thanks to programmed design, university research, and bureaucratic funding, but there is compelling — very compelling — evidence to show that this is an illusion.  Technology is the result of antifragility, exploited by risk-takers in the form of tinkering and trial and error.  Engineers and tinkerers develop things while history books are written by academics; we will have to refine historical interpretations of growth, innovation, and many such things. … The error of naive rationalism leads to overestimating the role and necessity of … academic knowledge, in human affairs — and degrading the uncodifiable, more complex, intuitive, or experience-based type”.

Het Spel van de “Emergence” (Mythic <-> Social) laat het gebeuren. Er  wordt niet gehandeld. Soms worden ideeen gewaardeerd (“brainstorm”) maar de grote vraag is of die ideeen echte ideeen zijn. In het algemeen zijn ideeen waarnemingen.

Andersom is het altijd goed inzicht te hebben in de waarde die mensen toekennen aan een proces of een calamiteit die het gevolg is van een gebeurtenis (Black Swan, Dragon King). In het laatste geval is er sprake van een hype en dient te worden opgelet dat de “fictieve” waarde niet te hoog wordt ingeschat.

Een Ecologie is een Autonoom (Natuurlijk) Proces en geen Mensenspel. Mensen hebben weinig invloed in de Ecologie behalve dat ze net als de andere organismen gebruik kunnen maken van de Ecologie en hem daarmee ten gronde kunnen richten door alles op te maken.

(4) Er is een “nieuw” type “Path-of-Change” ontstaan, een Ecologie/Ecologie-sprong dat via Revolutie (geel-sprong omhoog-blauw) en Herinner (Remember) van Blauw-sprong-omlaag-Rood loopt.

10. Menselijke uitdagingen

De mens (en zijn soortgenoten, de zoogdieren) heeft in zijn leven altijd te maken met existentiële levensproblemen.

Volgens Plutchik zijn dat er vier:

(1) Identiteit (herkennen, herhalen, accepteren, afstoten, isolatie, deelnemer, samenwerken): Als je niet kunt ontdekken wat hetzelfde is kun je nooit iets herhalen. Een persistente identiteit met bijbehorende kenmerken is een eerste vereiste om te kunnen samenwerken.

(2) Hiërarchie (aanvallen, ontsnappen): Hoe hoger hoe machtiger. Om te kunnen overleven moet het duidelijk zijn wanneer je moet vluchten en wanneer de kans groot is dat je wint.

(3) Tijdelijkheid (voortbestaan, reproductie, overdracht van kennis & ervaring (= inzicht), verschil, samenkomen, vertrekken, leven en dood, vieren, spel): Als er voor alles een einde is moet het mogelijk zijn om te reproduceren zowel lichamelijk als qua cultuur. Het slagen van een reproductie is een moment waarop men viert. Het einde van een existentie is een moment van droefenis. Reproductie herhaalt hetzelfde maar niet helemaal hetzelfde. Er is sprake van een afwijking of van verschil.

(4) Territorium (exploratie, oriëntatie, beschermen, grenzen, voorspelbaarheid, hulpbronnen, overschotten, markten): Een territorium is nodig om rust te hebben om hulpbronnen op te bouwen en te bewaken. Een territorium moet een duidelijke grens hebben en de overschotten en tekorten van een territorium moeten kunnen worden bewaard en verhandeld.

9. Menselijke verhoudingen

Deze problemen kunnen worden afgebeeld naar de vier relationele elementaire sociale relaties van Alan Fiske:

(1) Identiteit->Cummunal Sharing, groen,

(2) Hierarchie->Authority Ranking, blauw,

(3) Tijdelijkheid -> Equality Matching, geel en

(4) Territorium ->Market Pricing, rood.

De sociale relaties kunnen ook worden afgebeeld naar de vier wereldbeelden van PoC.

Die vier relaties van Fiske zijn vooraf gegaan door de agonistische en hedonistische samenleving, waarbij de eerste was gebaseerd op hiërarchie en conflict (territorium, oversprong-gedrag, mannelijk) en de ander op spel/cultuur (tijdelijkheid, vriendschap, vrouwelijk) en samenwerking (identiteit).

11. Menselijke Emoties

Plutchik is vooral bekend geworden door zijn 3D-model van de menselijke emoties. Het model bestaat uit vier primaire emoties met hun tegendeel:

(1) Vertrouwen vs Afkeer, groen,

(2) Angst vs Woede, blauw,

(3) Verrassing vs Waakzaamheid, geel en

(4) Vreugde vs Droefheid, rood.

In het plaatje wordt de intensiteit weergegeven.

Het model van Plutchik is afbeeldbaar op PoC en alle andere modellen die de revue hebben gepasseerd in deze blog. Het model is op vele manieren uitgetest en wordt bijvoorbeeld gebruikt bij het ontwerpen van robots.

12. De Menselijk Maat

Volgens de meettheorie is meten het maken van een afbeelding (f) van de buitenwereld (de meting, waarnemen),  het waarderen van de meting en het plaatsen van de afbeelding in een abstracte relationele wiskundige wereld (het netwerk-model, groen).

De wijze van afbeelden (de analyse, de methode, de functie f) mag geen invloed uitoefenen op het eindresultaat anders wordt het model veranderd (“bias”). Deze invloed, vertaalt in specifieke eisen wordt een schaal genoemd.

Alan Fiske ontdekte dat zijn theorie over de menselijke verhoudingen (zie Hfdst. 9) ook van toepassing is op de verhoudingen tussen de meetschalen. Mensen nemen naast objecten ook menselijke verhoudingen (een ratio) waar.

De vier schalen zijn ontstaan door “symmetry-braking“. Iedere volgende schaal beperkt de vrijheid van handelen op een formele manier.

In Communal Sharing is iedere combinatie van identiteiten toegestaan, terwijl Authority Ranking een bepaalde volgorde van deze entiteiten tolereert. Daarna wordt het verschil van de entiteiten (in de zin van afstand) toegestaan en als laatste mogen de verschillen alleen nog meer een eenheid zijn (meetlat).

De Ratio Schaal (Market Pricing) is vergelijkbaar met de Euclidische Geometrie, een ruimte waarin evenwijdige lijnen elkaar niet snijden. Het is de ruimte waarin we denken te leven als we dicht bij huis blijven. In werkelijkheid, als we vanuit de ruimte naar de aarde kijken zien we dat we op een bol leven en snijden de evenwijdige lijnen elkaar weer wel.

De meest vrije geometrie is de Projectieve Geometrie, die verbonden is met Communal Sharing en de Nominale Schaal. In dit geval bestaat de werkelijkheid alleen maar uit kruisende lijnen (een netwerk), waarbij een punt een kruispunt van twee lijnen is (in de N=2 dimensionale ruimte), een lijn een verbinding van twee punten en de onderliggende werkelijkheid een bol (of een anti-bol, een zadelvlak) is.

De symmetrie tussen punt en lijn wordt dualiteit genoemd en is een algemene eigenschap in alle projectieve ruimtes.

De gekromde ruimte is de ruimte van de relativiteitstheorie van Einstein, waarin er geen vast punt is en alles relatief ten opzichte van elkaar beweegt. Alles draait om alles. Communal Sharing is Agile en is de anti-these van Market Pricing.

De Ratio Schaal en de Euclidische Geometrie hebben vrijwel geen mogelijkheid om te transformeren. Ze zitten vast in hun eigen structuur. De werkelijkheid is lineair en de enige toegestane transformatie is vermenigvuldigen.

Market Pricing, de meest gebruikte sociale relatie op aarde, is daarom de meest rigide (anti-agile) en egoistische organisatievorm die er bestaat.

De Nominale Schaal (Communal Sharing (CS)) is een opsomming (bijv. de Politieke Voorkeur van Mensen).

De onderdelen van de schaal (de voorkeuren) kunnen in iedere willekeurige volgorde worden getoond (permutatie).

De deelnemers van een CS zijn voor elkaar inzetbaar en inhoudelijk vervangbaar (“functional redundant”).

Een CS is agile (flexibel) omdat iedere structuur via andere combinaties mogelijk is. CS is de basisvorm van de community.

Wiskundig staat de nominale schaal voor het behoud van de identiteit ( s1=s2 ⇔ f(s1) = f(s2), de permutatie groep).

In de Ordinale Schaal (Authority Ranking (AR)) zijn de onderdelen geordend  (bijv. kledingmaten).

De basis-relatie is baas-ondergeschikte. Deze relatie is complementair. De baas speelt zijn rol maar de onderschikte ook.

AR is fragiel omdat de rangorde ook een uniek pad van escalatie bepaalt. Je hebt aan een zet voldoende om de rest van de keten te raken. De ramp is voorgebakken in de ordening en kan door een kleine trigger in gang worden gezet (domino).

Wiskundig staat de ordinale schaal voor het behoud van orde (( s1< s2 ⇔ f(s1) < f(s2)). Deze orde wordt beschreven door monotoon stijgende functies.

De Interval Schaal (Equality Matching (EM), vriendschap) gaat over de verschillen tussen de waarden in de Ordinale schaal.

Voorbeelden zijn de temperatuur-schalen van Celcius en Fahrenheit die geen “echte” nul hebben omdat de verschillen ook negatief kunnen zijn (onder nul).

Bij EM streeft men naar evenwicht door verschillen te beperken (balans, reciprociteit). Iedere deelnemer levert een gelijkwaardige bijdrage. Er moet een evenwicht zijn tussen geven en nemen. EM is veerkrachtig.

Wiskundig gaat het hier om het behoud van verschil (s1 − s2 = s3 − s4 ⇔ f(s1) − f(s2) = f(s3) − f(s4)). Dit behoud wordt vertaald in de lineaire functie (f(x)= ax+b, a>0), vermenigvuldigen en optellen.

In de Ratio schaal (Market Pricing (MP)) zijn de verschillen altijd gestandaardiseerd op één waardoor de getallen in de schaal als Eenheid (meter, kilogram, sec,…) worden gebruikt en de waarde nul de laagste waarde is (Kelvin).

In MP is de relatie gebaseerd op een transactie waarin de partijen gelijkwaardige objecten ruilen. De prijs van het object is meestal gebaseerd op geld.

Relaties worden door middel van de transactie afgewikkeld en van te voren door een contract gedefinieerd. Ze zijn meestal kortstondig van aard.

MP is Anti-Agile. Ze is gemaakt om niet te veranderen (gestandaardiseerd).

Wiskundig gaat het om het behoud van ratio/verhouding: s1/s2 = s3/s4 ⇔ f(s1)/f(s2) = f(s3)/ f(s4). De functie f moet daartoe de vorm f(x)=ax aannemen.

13. Opnieuw Over Anti-Fragility

Er is veel reden om aan te nemen dat wat in Panarchy Revolt (Geel-sprong-vertraag-Blauw) wordt genoemd door Nassim Taleb Anti-Fragility (AF) wordt genoemd.

AF is de kunst om een enorme gefrustreerde diversiteit (mythic, geel) op een gezamenlijk doel (unitary, blauw) te richten. Dit gebeurt bij revoluties waarbij de gefrustreerde achtergestelde volksmassa (groen) de positie van de machthebbers (blauw) willen veroveren.

AF veroorzaakt een overgang tussen twee (eco-)systemen waarbij er een nieuwe hogere orde ontstaat.

De nieuwe orde heeft een lager ritme (trager) omdat ze de flexibiliteit van de lagere orde kwijt is geraakt en een grotere reikwijdte heeft.

Door de revolutie is de bureaucratie van de oude structuren opgevuld met de deelnemers die buiten de orde stonden. In wezen verandert er weinig (de ijzeren wet van de oligarchie).

De nieuwe orde heeft een ander concept gevonden voor de diversiteit die onder druk staat. Voorbeeld is de overgang van het eencellige naar het meercellige organisme dat in haar eencellige staat  tegen de stroom in moest gaan om voedsel te verzamelen en nu gewoon wacht tot de bruikbare hulpbronnen langskomen.

Zolang het nieuwe plan, model  alleen maar in de geest aanwezig is is het model schaal-onafhankelijk (“een visie of een filosofie”).

Zodra men het ontwerp gaat maken (Blauw/rood/-> maken) zal men terug moeten vallen op wat er is of nog veel moeten ontwerpen en bouwen (de “utopie”) om de complete ecologie vorm te geven.

Anti-fragility ontstaat als de onbalans in een Equality Matching-structuur (veerkracht) te groot wordt en de structuur weer naar zijn evenwicht wil terugspringen.

In zo’n geval zijn er drie mogelijkheden (1) de onderdelen gaan terug naar de oorspronkelijke AR (blauw) en worden opnieuw geordend (contra-revolutie) (2) de onderdelen gaan MP (standaardisatie, rood) doen en worden vertaald in (een aantal) eenheden of (3) ze verlaten de huidige ecologie en gaan naar een “hoger” liggende ecologie waar ze ook in een nieuwe AR terecht komen.

Het plaatje laat zien dat Veerkracht (Anti-Fragile) en Fragiel een categorie vormen en dat Agile en Anti-Agile een categorie vormen.Hierbij moet je je afvragen of Anti-Fragiel en Veerkracht niet hetzelfde zijn.

De eerste categorie (Fragiel, Anti-Fragiel) zijn een Vorm waarbij Fragiel een fysieke vorm is (een glas, materie, vast, “aarde”) en Anti-Fragiel een Idee (“lucht”, film, software, media).

Agile en Anti-Agile zijn Samenwerkingsvormen die een proces besturen. In het eerste geval (Anti-Agile) is het proces (een stroomlijn) gefixeerd (standaard, aarde/ijs). Het tweede geval (Agile) is heel flexibel (“water”). Alle paden van de bron stromen naar de zee.

14. Nassim Taleb over de Anti-Fragile Mens

In het boek Anti-Fragility staan een groot aantal “heuristieken”.

Een paar voorbeelden:

Be less dependent on external material objects

First remove the downside before you add more things to your life to make it better: Ruim eerst je troep op voordat je aan iets nieuws begint.

Seek out novelty: Try as many things as you can and keep your risk low: Dit is vergelijkbaar met de Bijbelse Spreuk “Onderzoekt alles en behoudt het goede”.

Many Small Risks can give a Big Win; Dit is de z.g. Barbell Strategy.

Get comfortable being uncomfortable:  Stop trying to be a Machine: Comfort is Not the Human Ideal:  Laat je nooit door anderen programmeren met redenen die een risicoloos bestaan garanderen. Uiteindelijk gaat er altijd iets mis of in de buitenwereld of in de binnenwereld en zul je moeten reageren. Als je daarin niet hebt geoefend ben je een willig slachtoffer.

Maintain your mobility;  Zorg  ervoor dat je altijd in beweging blijft en dus niet om wat voor reden ergens vast komt te zitten. Als je niet op tijd kunt vertrekken kun je getroffen worden door een ramp.

If you have more than one Reason to do something, Don’t Do it:  Dit heeft te maken met twijfel, motivatie en vooral ook onduidelijkheid (“elevator pitch”). Als er meerdere redenen zijn zijn er ook meerdere acties die nu nog door elkaar heen zitten.

Stop pretending you know so much about your future and structure yourself to take advantage of opportunities in the future. More Options, Less Plan: De toekomst is niet voorspelbaar dus plannen (voorspelbare acties) gaan altijd ergens mis. Als je dan geen alternatieve paden hebt zit je vast.

Evolution does not need narratives. Taking action now is the best thing to doDe natuur verzint niets. De natuur gebeurt. Er is niets op tegen om zomaar wat te doen en is te kijken wat de uitkomst is. Uitvindingen worden niet bedacht ze zijn vaak een gevolg van een fout of een andere kijk op hetzelfde.

Nimium boni est, cui nihil est mali:  The good is mostly in the absence of the bad: The quickest way to riches is to avoid becoming poor. The most effective way to health is to purge the unhealthy. The easiest way to be happy is to remove unhappiness. The fastest way to wisdom is to not be stupid: Het slechte en het goede hebben hun eigen domein. Ingewikkelde problemen moet je niet oplossen maar ze vermijden.

15. De Anti-Fragile Stad

Met behulp van PoC kunnen meerdere lagen van een Ecologie tegelijkertijd worden gemodelleerd. Bovenstaand plaatje toont een model van de Stad in vier lagen (Openbare Ruimte, Sociale Netwerken (verdeeld in Sub-netwerken), Bedrijfsleven (Waarde-ketens/cycli) en Bestuur. Iedere laag bestaat uit vier stappen waardoor er 16 (4×4) knooppunten zijn.

In bovenstaand plaatje wordt de Anti-Fragiele Stad getoond. Het Bestuur van de Stad is het resultaat van een groei-proces (zie Hfdst. 8) dat ontstaat vanuit het waarderen van de bedrijvigheid door het Sociale Netwerk. Het Bestuur van de Stad stuurt de Innovatie via de Creatieve Sector.

16. De Anti-Fragile Mens

Bovenstaand plaatje is een PoC-afbeelding van het MBTI (Myergs Briggs)-model van de Menselijke Persoonlijkheid. MBTI is een interpretatie van de archetypen van Jung die zijn samengevat in het Quaternio.

Het model bestaat uit drie delen:

(1) Observator: Observator-In-de-wereld= Judging vs Observator-Boven-de-wereld = Perceiving.

De observator is een hogere (of lagere) (fractale) vorm van de Quaternio.

(2) Rotatie: Extravert (Met-de-klok-mee-draaien) vs Introvert (Tegen-de-klok-draaien) en

(3) Een 2-combinatie zonder herhaling van de vier “organen”

(a) Thinking (T, Unity, Denken, Blauw),

(b) Sensing (S, Sensory, Waarnemen/Actie, Rood),

(c) Feeling (F, Social, Emoties, Groen) en

(d) Intuiting (N, Mythic, Verbeelding, Geel).

Je bent Anti-Fragiel als je met de Verbeelding (Inzicht, N) een Sprong maakt naar een Ordening (Thinking, T) die boven de Mens uitstijgt (in het domein van de Observator). Hierbij heb je de keuze om in de Lucht te springen (omdat er niets kan worden gemaakt) of om aan te sluiten met wat nu is. Hierbij moet je vaak weer een paar lagen terug gaan om de aansluiting te vinden.

De kortste weg tussen Waarnemen en Anti-Fragiel is om zowel de Emoties (waarderen) als het Denken (waarheid) te negeren. Het gaat hier om “zien” met de verbeelding (“het derde oog”, inzien).

17. Over de Magier

Thoth and the Human represented by the Ape. The Ape uses the Eye of Horus (the third Eye) to look at Thoth

Het derde oog doet me erg veel denken aan de  Magier (Thoht) die de Veerkracht van  de Creativiteit (Equality Matching, het Verschil, de Creatieve Spanning, de Levenskracht) gebruikt om het Universum een stap verder te brengen waarbij Ma’at er voor zorgt dat die stap een haalbaar stapje is.

Mijn favoriete tovenaar is Don Juan een magier uit de Toltec-traditie die in de boeken van Carlos Castaneda zijn leerling, Carlos, leert om van de Tonal (het bekende, het talige) naar de Nagual (“het onbekende”, de anti-fragiele wereld) te springen. De Nagual is een hoger dimensionaal gebied waar de tovenaar kan toveren wat hij wil.

Hierbij is het opvallend dat veel van de aanbevelingen van Nassim Taleb in de boeken van Carlos Casteneda terug te vinden zijn wanneer Don Juan Carlos uitlegt hoe hij een impeccable  “warrior” kan worden:

The attributes of a warrior are ruthless, cunning, patience and sweetness. The fifth element is not a personal one: timing. With those tools he faces every day life. Ruthless is not cruelty but a lack of self pity. Patience is waiting without rushing. Cunning is to distract the mind from the real issue, so it won’t interfere with the process. Sweetness is simply being nice. Timing is the ability of the warrior to use those four qualities at the right time. The warrior aims to be impeccable in whatever he does, but never takes himself and his actions too seriously, considering them as controlled folly. He acts with sustained effort and unbending intent in order to raise his level of energy.

A warrior lives by acting, not by thinking about acting, nor by thinking about what he will think when he has finished acting.

LINKS

Over de Adaptive Cycle (zie Panarchy)

Een hele uitgebreide Engelse samenvatting van het boek Anti-Fragility

Over Polarity Management

Over het Viervoudige (Quaternio)

Waarom Neurale Netwerken op het Universum lijken

Een lange lijst van vierluiken

About Anti-Fragility (in English)

Over Magie

Over Alchemie

Over de Evolutie van de Schoonheid

Over Ma’at

Over Synchronisatie

Over Don Juan & Tales of Power

Samenvatting boeken Castaneda

Over de Community of Practice (in Dutch)

Deze blog bevat een presentatie over de Community of Practice (CoP). Een CoP is een verzameling mensen die Ervaring delen.

Opvallend is dat de zuivere Community of Practice niet voorkomt. Dat komt omdat men Kennis (Theorie) en Ervaring (Praktijk) door elkaar haalt.

De verwarring ontstaat omdat men de theorie als “dwingende” ervaring ziet. De Theorie is Foutloos. De gebruikers van de theorie maken fouten die worden veroorzaakt door Tekortkomingen bij de Gebruiker en niet in de theorie.

Doordat de gebruiker volgens de regels werkt en het mislukken van de regels door de gebruiker komt en niet door de regels wordt de theorie niet aangepast en worden de mislukkingen geaccepteerd totdat het Systeem zich volledig Volgens de Regels gedraagt.

Het idee dat de praktijk ondergeschikt is aan de theorie is ontstaan in de Verlichting, een periode die samenvalt met de 18de eeuw.

In die tijd werd de verbeelding (het creatieve) teruggebracht tot de Fantasie en werden de Emoties (die waarderen) gezien als een geestelijk probleem (“hysterie“). Het enige wat telde was de ratio die werd vertaald in logisch redeneren.

In de verlichting ontstond de Conduit-metafoor, een model waarbij communicatie een proces is waarbij conduits (objecten, containers) worden uitgewisseld die door iedereen te begrijpen kennis bevatten.

Dit in tegenstelling tot de toolmaker-metafoor waarin de mens zijn waarheid toont in zijn handelen (“The Truth of the Pudding is in the Eating“, (Miguel de Cervantes, Don Quixote (1615))).

Er zijn vier uitspraken over Waarheid mogelijk:

(1) De Waarheid van een theorie is Objectief.

(2) De Waarheid van een theorie is gebaseerd op de Waarneming van dat wat gebeurt (een feit is een gebeurtenis (een geboorte)).

(3) De Waarheid van een theorie is een Mening, een waardering: “If we have Analyzed Judgment, we have solved the problem of Truth” (F.P. Ramsey, Fact and Propositions, 1927). Wat (belangrijke) mensen vinden (zoals de Paus of een Hoogleraar) is waar.

(4) De Waarheid van een theorie is het gevolg van een persoonlijk Inzicht. Vaak het resultaat van een waarom-vraag. Wat ik geloof is waar.

De vier kijken op de waarheid  kunnen worden ondergebracht in een vierluik wat door Jung een Quaternio werd genoemd. Een Quaternio bestaat uit twee tegendelen en twee complementen.

Een Inzicht is het gevolg van een uitzicht, een waarneming die in een waargeving resulteert (Waar -> Weer, Beeld, Idee).

De Waarheid is Objectief (context-vrij) en Subjectief (wat anderen er van vinden, context-afhankelijk).

Ervaring is wat de mens al doende in de werkelijkheid als afwijking van zijn eigen theorie, zijn Verwachting (Overtuiging), meemaakt. Ervaring is een PersoonlijkeRreflectie op het persoonlijk handelen.

Een Community of Practice (CoP) lijkt erg veel op het Middeleeuwse Gilde met als groot verschil dat lokatie geen rol meer speelt zodat een Gilde niet meer bij een Stad hoeft te  horen maar in theorie wereldwijd kan opereren.

Door de enorme Schaal die nu optreedt is het vrijwel onmogelijk om een eenduidig definitie voor een gilde te formuleren waardoor er veel communities zijn die min of meer hetzelfde gebied betreffen.

Dit is voor een deel opgelost door de gildes om te zetten in Internationale Standaard/Beroeps Organisaties die zich bezig houden met het ontwikkelen van Normen. Normen zijn theorieen die door een groep mensen worden geaccepteerd.

De belangrijkste factor in een Gilde is het Delen van Fouten waardoor de Theorie van de Gezellen kan worden verbeterd. In de huidige tijd hebben mensen erg veel moeite met het delen van Fouten omdat Fouten maken wordt gezien als Falen.

De werkwijze om een eerste versie van een CoP op te zetten lijkt erg veel op het ontwikkelen van een Expert-Systeem, waarbij de Meesters en Gezellen de Experts zijn en de Fouten (Failures) door de leerlingen worden geleverd.

Aangezien iedereen een leerling is geweest kan iedereen een relatie leggen tussen een veelgemaakte fout en een oplossing van de fout.

In het algemeen maken mensen steeds weer dezelfde fouten als ze met een beroep beginnen behalve als de fout structureel in het ontwerp- en bouwproces is geadresseerd.

Op dit moment bestaan er miljoenen communities die kunnen worden getypeerd door de Menselijke Persoonlijkheid die een combinatie is van Kennis (Wikipedia), Ervaring (Praktijk), Relaties (Sociaal, Facebook) en Creatief (Inzicht, Interesse, Linkedin).

Een Gilde is een productie-systeem. In een product-systeem loopt de Cyclus rechtsom. Linksom gaat het om een consumptie-systeem. Beiden systemen houden elkaar in evenwicht bij het Hart (Communion/Wij).

Wat nu volgt zijn de sheets van de presentatie met toelichting in presentatievorm.

Het laatste plaatje voor de samenvatting laat zien dat er twee manieren zijn om de cyclus te doorlopen n.l. met de klok en tegen de klok. De eerste is de productie-cyclus en de tweede is de consumptie-cyclus.
LINKS
Waarom persoonlijkheden eigenlijk een leersttrategie zijn.
Waarom de theorie altijd klopt en gebruikers die het niet snappen dom zijn.
Over de relatie theorie & praktijk
Over de Community of Practice met betrekking tot Verslaving en Burn-Out
Over Gilden (in de Gezondheidszorg)
Over Schalen (Constructal Law)
Over Schalen (Perspectief)
Over Schaal-vrij (Scale-Free)
Over Onkwetsbaarheid (Anti-Fragility)

About Alchemy and Logic

This blog is about Logic, Alchemy and the relationship between Logic and Alchemy.

Classic Logic is based on the Square of Opposition of Aristotle. This square was discussed for more than 2000 years. Recently scientists detected that the Square is really a Cube. It misses an extra dimension.

The Square describes  the six oppositions (“dual combinations”) of possibility (“some”, Particular Affirmative), necessity (“all”, Universal Affirmative), not-possibility (“not some”, Particular Negative) and not-necessity (“not all”, Universal Negative).

Geometric Logic is a part of Modal Logic which is a part of Logic.

In Geometric Logic the Linguistic Representations of Logic are mapped to the Graphical Representations of Geometry.

Modal Logic works with the notion that propositions can be mapped to sets of possible worlds.

The idea of possible worlds is attributed to the famous mathematician Gottfried Leibniz (1646-1716), who spoke of possible worlds as ideas in the mind of God and argued that our actually created world must be the best of all possible worlds. Possible worlds play an important role in the explanation of Quantum Mechanics.

Alchemy is based on the Square of the Four Elements. The Four Elements are oppositions. The oppositions of Alchemy are related to the oppositions of the Square of Opposition of Aristotle in an orthogonal model. They form an arc of 90 degrees, which makes Alchemy the complex part (imaginary) of Logic.

In his work De Arte Combinatoria Leibniz developed a general theory of science that was based on a fusion between Alchemy and Logic.

The four Elements of Leibniz
The Square of Leibniz

In this blog I will explain Alchemy and Logic and show that Alchemy and Geometric Logic share the same geometry, the Hexagon (the Seal of Solomon), which is a 2D-mapping of the Cube of Space of the Sefer Yetsirah.

Leibniz calculating machine
Drawing of Leibniz’s calculating machine, featured as a folding plate in Miscellanea Berolensia ad incrementum scientiarum (1710), the volume in which he first describes his invention.

About Alchemy

When thou hast made the quadrangle round, 
Then is all the secret found. 
George Ripley (d. 1490).

One of the most complicated ancient architectures is the architecture behind Alchemy. The architecture of Alchemy is full of strange concepts and allegories.

Alchemy comes from the Arabic al-khemia meaning the Black Soil of Egypt (or the ((Egyptian) Black Art). Alchemy is the art of transformation.

Alchemy is an ancient science that was practiced all over the world. The most famous teacher was called Hermes Trismegistus in Greece and Thoth in Egypt. The old science of Hermes came back in the Renaissance.

The essence of Alchemy is called REBIS (Res Bina), Double Matter. REBIS is the end product of the alchemical magnum opus or Great Work. It is the Fusion of Spirit and Matter (the Body). Spirit is the Creative Part of the Human.

Double matter is sometimes described as the divine hermaphrodite, a being of both male and female qualities as indicated by the two heads within a single body.

The Great Work is the chemical and personal quest to create Double Matter, the Philosopher’s Stone, Spirit in Matter.

The Stone is the agent of chemical transmutation, and the key ingredient in the creation of the elixir of life, said to heal all diseases, induce longevity and even immortality.

In current Physics  transmutation is proved at room temperature in a proces called Cold Fusion.

In Physics one explanation for the fusion between Quantum Mechanics and Gravity is called the Wheeler Feynman Absorber Theory. In this theory the Future causes the Past and vice-versa. We are always in the Now, the Middle between Past & Future.

The Future and the Past are created by the Intention of the Observer, we call Measurement.

The Philosopher Stone
The Philosopher Stone

The aim of the Great Work is a fusion with the One (the Blazing Star, Saturn, Point) that is divided in the Two (Sun & Moon, Male & Female, Line) and the Four Planets (Square), the 12 (4×4-4) Constellations or more structures based on a power of a power (of a power….)  of 2. The Great Work moves from 2**N, …., Sixteen to Four to Two to One (or from one to two to four) in a Spiraling Spiral Motion.

The Spiraling Spiral in Chartres Cathedral
The Spiraling Spiral in Chartres Cathedral

The One, to which the elements must be reduced, is a little circle in the center of the squared figure (the cross). The cross is the mediator, making peace between the opposition of the planets.

The First Matter is the primordial chaos comparable to what we now call the vacuum, the state of lowest energy. This state contains all possibilities.

It can be looked on as an unorganized state of energy  that is the same for all substances and exists in an invisible state between energy and matter.

The First Matter is the One, the Point in the Middle of the Circle. In current physics a point is called a singularity or a black hole.

Alchemy is about Recombination

Alchemy is about re-combination summarized in the Latin expression Solve (break down in separate elementset Coagula (coming back together (coagulating) in a new, higher form).

Solve and Coagula
Solvite Corpora et Coagulata Spiritus (“dissolve the body and coagulate the spirit”).

Earth (Body) becomes Water (Spirit) by dissolving it in some solvent. Water becomes Air (a moist vapor) by boiling, which further heating turns into Fire (a dry vapor).

Finally Fire becomes Earth by allowing the vapors to condense on a solid material (a stone).

The circulation may repeat if it is done in a reflux condenser, such as the Pelican or kerotakis.

The Pelican is the Symbol of the Heart Chakra the connector between the Upper- and the Lower Triangle of the Body.

Kerotakis
Destillation

According to the early alchemists, the four elements—fire, water, air, and earth—come into existence via the combination of specific qualities, recognized as hot, cold, wet, and dry, being impressed on to the Prime Matter. For example, when hot and dry are impressed on the Prime Matter, we have fire.

(Hot and Cold) and (Wet and Dry) are oppositions. Their fusion is the empty set.

(Hot or Cold) and (Wet or Dry) can be combined -> (Hot, Wet), (Hot, Dry), etc.

The Cold allows substances to get together. The Hot is the power of separation.

Wet things tend to be Flexible (Fluent, Movement, Self, Not-Agency) whereas Dry things are fixed and structured (Agency, Resistance, not-Movement).

When the qualities are changed, the elements themselves are changed. Adding Water to Fire substituting wet for dry; hot and dry becomes hot and wet: steam, or Air.

As you can see in de picture below Hot & Cold and Wet and Dry are Binary Opposites (“lines”) that are voided by the central cross, the point of the Empty Set, The Void (A and not-A -> Empty).

Hot & Dry = Fire, Hot & Wet = Air, Cold & Wet = Water and Cold & Dry = Earth.

There are four types of Trinities the Passion-trinity (Dry, Wet, Warm), the Structure-trinity (Dry, Wet, Cold), the Resistance-trinity  (Warm, Cold, Dry) and the Movement-trinity (Warm, Cold, Wet).

The Square rotates. The wheel of the Square is driven by the four qualities. Wet on the rising side, Hot on the top, Dry on the descending side, and Cold on the bottom.

The start is powerless (Cold). By becoming more flexible (Wet) success and power comes (Heat).  At the top Rigidity (Dry) undermines the system and it falls back to a powerless state.

The Four Triangles
The Four Elements arise out of the Quintessence, The Fifth Element, The Symbol of The Heart Chakra, the Seal of Solomon

The four Elements all share the Triangle of the Holy Trinity. Every Trinity is seen from another perspective.

The two triangels, The Up-triangel and the Down-Triangel, are Opposites that are created out of two triangels that contain two Opposites that are fused. Humans are opposites in opposition.

Humans are FourFold

Humans are part of the Bilateria,  animals with bilateral symmetry.

Humans can be described as a fusion of two mirrored bilateral triangles, the Up-triangel related to the Top of the Body (Mind) and the Bottom-triangel of the lower Body both connected by the Heart. The two triangels and the separate triangels have to be balanced.

The principle of Balancing the two Triangles of Top & Bottom of the Body is represented by the Egyptian Goddess Ma’at who weights the Heart (the connector of Up and Down) of the Dead with her Feather (Nothing).

The Balance of Ma'at
The Balance of Ma’at

As you can see the Square of the Cycle of the Four Elements is visible in the picture below. The total picture shows a Hexagram with a Center (The Cross).

The points that are missing in the Square are the top- and the bottom of the two triangels which are the Whole (Up, Heaven) and the not-Whole, Emptiness, the Bottom (Hell).

The Seal of Solomon
The Seal of Solomon

A hexagon is a 2D-projection of a Cube.

The hexagon of Solomon can be transformed into the Cube of Space of the Sefer Yetsirah.

Cube of Space
Cube of Space

The Cube of Space can be transformed into the Tree of Life. The Tree of Life also called the tree of knowledge or world tree  connects heaven and underworld and all forms of creation and is portrayed in various religions and philosophies all over the world.

The Spiral of Alchemy is about the Chemical Transformation of the Body by the Conceptual Transformation of the Mind.

The Tree of Life shows the levels/scales (three) and possible paths of the Opus Magnum, the alchemical journey.

About Truths for a Fact and Truths for a Reason

People have always believed in the fundamental character of binary oppositions like Hot & Cold and Wet & Dry are used in Alchemy.

In this part we move to the Field of Logic. In this case Hot/Cold and Wet/Dry transform into Necessary /Not-Necessary and Possible/not-Possible.

Chemical Wedding (Union of Opposites)
Chemical Wedding (Marriage of Opposites)

Oppositions can be divided in:

  1. Digital oppositions, contradictories, contain mutually exclusive terms (Gender (Male/Female)).
  2. Analogue oppositions, antonyms  or contraries: contain terms that are ordered on the same dimension (Temperature (Minimum->Cold/maximum->Hot)).
Square of Opposition
Square of Opposition

The doctrine of the square of opposition originated with Aristotle in the fourth century BC and has occurred in logic texts ever since.

The logical square is the result of two questions: Can two things be false together? Can two things be true together?

This gives 4 possibilities: no-no: contradiction (A/O, E/I); no-yes: subcontrariety (I/O); yes-no: contrariety (A/E); yes-yes: subalternation (A/I, E/O) better known as implication (A->B).

The four corners of the square represent the four basic forms of propositions recognized in classical logic:

  1. A propositions, or universal affirmatives take the form: All S are P.
  2. E propositions, or universal negations take the form: No S are P.
  3. I propositions, or particular affirmatives take the form: Some S are P.
  4. O propositions, or particular negations take the form: Some S are not P.

The square of opposition was debated for many reasons for more than two thousand years.

One of the discussions is about the difference between possible and necessary. In the so called Master Argument Diodorus proved that the future is as certain and defined as the past. The essence of logic (necessaty) implies the non-existence of freedom (possibility). X is possible if and only if X is necessary.

The term ‘possible’, in Aristotle’s view, is ambiguous. It has two senses known as one-sided possibility and two-sided possibility (or contingency). Being two-sided possible means being neither impossible nor necessary, and being one-sided possible simply means being not impossible.

Leibniz distinguished between necessary Truths for a Reason, which are true for a reason—i.e, their opposite is a contradiction—and contingent truths, (Truth for a Fact) such as the fact that the president of France is François Hollande. A contingent truth cannot be proved logically or mathematically; it is accidental, or historical (based on facts (events)).

About Geometric Logic and n-dimensional “Squares” of Opposition 

Modal Logic is about the fusion of necessity and possibility, contingency.

Logical Hexagon
Logical Hexagon

In Modal Logic the propositions are modelled in a logical hexagon where:

  1. A is interpreted as necessity: the two propositions must be either simultaneously true or simultaneously false. A is a Proof or Law.
  2. E is interpreted as impossibility. E is an Observation that contradicts the Proof of A.
  3. I is interpreted as possibility:  the truth of the propositions depends on the system of logic being considered . I is an Idea implied by the Proof that Contradicts E.
  4. is interpreted as ‘not necessarily’. O contradicts A.
  5. U is interpreted as non-contingency: neither logically necessary nor logically impossible, its truth or falsity can be established only by sensory observation.
  6. is interpreted as contingency: propositions that are neither true under every possible valuation (i.e. tautologies) nor false under every possible valuation (i.e. contradictions). Their truth depends on the truth of the facts that are part of the proposition. Y is a possible proven theory.

The Logical Hexagon has the same geometry as the Seal of Solomon. It contains the Square of Opposition (A,E,I,O).

The Logical Hexagon can be transformed just like the Seal of Solomon to the Cube of Space now called The Cube of Opposition.

The Logical Hexagon is used in many fields of Sciences like Musical Theory or Scientific Discovery.

The Hexagon of Opposition based on Musical Theory
The Hexagon of Opposition is used in Musical Theory

Every opposite can be defined by a string of zero’s and one’s like 1010. An opposite is 0101. This means that there are 2**4/2 = 4×4/2= 16 / 2 = 8 possible opposites. This is called the Octagon of Opposites.

The Octagon contains six reachable and two unreachable points in the Center (0000, 1111), the Empty Set (the Void, the Hole, Contradiction) or its Opposite (The Whole, Tautology).

Logical Geometry
Logical Geometry
The rhombic dodecahedron RDH with the standard bitstring decoration
Octagon of Opposition

It is clear that it must be possible to create higher dimensional models based on n-based-logics.

When n becomes very big the geometry will tend to a n-Dim circle in which every point is in opposition to the point at the other side.

The big problem with n-based logics is language. We don’t have the names to articulate the many grades of opposition that are possible.

The other problem is that a negation is not a symmetric operation (A = not-not-A) but a rotation with an angle 360/n.

The n-opposite-geometries are highly related to Simple Non-Abelian Groups (SNAGs). They play an important role in biology.

The last step is to transform the static n-opposite geometries by making n very large (infinite) to a dynamic “opposition field”.

Related Models

In current Psychology Hot & Cold are called Communion and Moist & Dry, Agency. Together they create the so called Interpersonal Circumplex.

Interpersonal Circumplex

The four stages of Learning by Jean Piaget.

The mathematical model behind the theory of Piaget is called the Klein Four Group or Identity/Negation/Reciprocity/Correlation-model.

Piaget
INRC-model of Piaget
INRC-model of Piaget

In the Science of Ecology (Panarchy) Agency & Communion are called Connectedness and Potential. The Panarchy model looks like a Mobius Ring.

panarchy model
panarchy model

A model that describes the Four Perspectives on Security:

Quaternity

The Semiotic Square of Greimas:

Semiotic Square
Semiotic Square

The Chinese Sheng-Cycle: The Chinese Five Element Model is comparable to the Western Four Element model. It contains as a Fifth Element, the Whole-Part-relationship (Earth, Observer State). Emptiness (Nothing, the Tao) is represented by the recursive Pentangle inside.

The Sheng Cycle
Tetralemma (Ancient Indian Logic)
Tetralemma (Ancient Indian Logic)

The lesson

When thou hast made the quadrangle round, then is all the secret found“.

When You have moved once through the Cycle you have seen Everything there is to See. The only way to move out of the Cycle is to jump into the wHole in the Middle.

The secret: It is impossible to move though the center because the paths that go through the center are a contradiction or a tautology (I am what I am, JHWH).

We have to move with the Cycle (making the rectangle round (a circle)), around the Singularity (the Hole of the Whole), going Up and going Down all the time.

The only way to solve this problem is to join the opposites by accepting only one thruth-value, by:

  1. Accepting everything (Wu Wei),
  2. Denying everything (Stoics) or
  3. Diminishing the amount of dimensions (“becoming Simple”, “like Children”) by moving up in abstraction (Hot & Cold -> Temperature -> Everything is Energy) to the level of zero dimensions, a point, becoming One with the First Matter (Tao, Vacuum, The Kingdom).

“If we then become children, would we thus enter the kingdom?” Jesus said unto them, “When ye make the two one, and when you make the inside like unto the outside and the outside like unto the inside, and that which is above like unto that which is below, and when ye make the male and the female one and the same, so that the male no longer be male nor the female female; then will ye enter into the kingdom.” (Gospel of Thomas, Logion 22).

LINKS

About the History of Cycles (in Dutch)

About the Geometry of Negation

About the Logic of Music

About Wu Wei

About Modal Logic

About the Cube of Opposition

About Logical Geometry

About the Square of Religion

Semiotics for Beginners

About Holonomic Alchemy

About Paths of Change

About the Sheng Cycle

How to use the Square of Opposition as a Research Tool

About the Cube of Space of  Sefer Yetzirah

About Truth of Reason and Truth of Fact

Why Humans are Toolmakers

About Chemical Transformation (Cold Fusion)

About the Ars Generalis Ultima of Ramon Lull (1305)

About the Six Domains of  the Polynomic System of Value

About the Logic of Creation

About Leibniz Calculating Machine

About Zero Dimension 

Why Innovation is Re-Combination

How to Balance the Seal of Solomon

About Interpersonal Theory 

About Panarchy

About the Hexagon of Opposition

About n-based logics

About Flow-Systems

Anti-Fragility and the Square of Opposites

An Introduction to Hexagonal Geometry

 

About Autarky

The amount of local cooperative energy-companies in the Netherlands (in 2012) is increasing. It all has to do with the decrease of the price of solar-sells but there is more at stake.

Local energy-companies are part of a movement aimed at Autarky. Autarky is the quality of being self-sufficient.

The word Autarky comes from Greek αὐτάρκεια (autárkeia), itself from αὐτός (autós) = self and ἀρκέω (arkéo) which in its passive form means be satisfied, content or “Out of my own Power“.

The need to become self-sufficient has certainly to do with the current economic-, ecological- and energy crisis. People are afraid that the supply of vital energy and food will suddenly stop or become priceless. This is not the only reason.

Some people think we are wasting our money, food and energy by producing nondurable throw-away goods in which the packaging is sometimes more important than the content. They want to create durable products and services. This is not the only reason.

Some people don’t trust the suppliers of their food and energy, their politicians and/or the caretakers of their savings, the banks, anymore. They believe that their food is intentionally manipulated, their savings are wasted, their country is sold out to the rich and their environment is polluted for just one simple reason, Greed, the opposite of “Being Satisfied”.

The people of the autarkic movement want to recreate the necessary functions (bank, energy, food, work, healthcare, government) themselves in a cooperative way in their own living context.

Atmospheric Energy Diagram
Atmospheric Energy Diagram

The local cooperatives  are now joining on a higher (mostly country) level and are  in need of a shared (real-time)infrastructure. The current infrastructure does not support flows that move between many participants (so called peer-to-peer-networks).

The current system is a Hierarchic Top Down System containing Huge Highways that are connected to Big Production-facilities. This makes it impossible to consolidate, share and distribute resources peer-to-peer on a local level.

The Electric Highway

The Top Down System has created Global Markets where the local production is sold  to the highest bidder.

The Global Markets are the playing field for advanced speculators that make a lot of money. After the deal is made the local production is transported to a far away destination. That is the reason why the Top Down Systems are integrated in world-wide Logistic Systems.

If we want to coordinate all the local initiatives we need advanced systems that Up- and download, control, predict, connect, share, balance and distribute vital local resources on the short and long term.

The Panarchy Cycle of an Ecology
The Panarchy Cycle of an Ecology

Examples of these systems can be found in “crowd funding“, “virtual power plants”  and “treasury management” (balancing many small amounts of Money at the short and long term).

In Nature we find comparable (Fractal) Distribution-Systems in the Lungs, the Arteries, Riverdelta, the Weather Cycle and Ecologies.

All of these fysical Flow Systems, that map 1 Resource-> on Many Resources or Many Resources->on 1 Resource,  are based on the third Law of Thermodynamics called Constructal Law.

Virtual Power Plant
Virtual Power Plant

In the philosophy of the Stoics and Cynics of Ancient Greece the perfect human was not only arete (“all-around excellent”) but also independent of every need. Arete was associated with a full life as a citizen of a city.

Later Spinoza (“On Human Freedom“), Rousseau and David Thoureau (Walden) have developed their own autarkic philosophy.

Autarky was the ideal of a complete man who needed no one and no organization. This ideal can also be found in Zen Buddhism, Taoist practise, Early Christians (Nazarites), the Catholic Order of the Franciscans and the Protestant Quakers.

In reality it is almost impossible to be completely self-sufficient as a lonely human being. We need others when we are young, sick and old and we need others because we are specialized (“Talented”). Autarky is a possible aim for a small community.

Resource Balancing in Nature (Lungs, RiverDelta)
Resource Balancing in Nature (Lungs, RiverDelta)

The religious, cultural and political movements at the left and the right aimed at living the “good life” (“Living Slow“) are converging in  the movement of the Cultural Creatives. The Cultural Creatives are the new Elite that is moving to the AND-state (Left AND Right).

They don’t believe in the old Competitive Ideologies (Socialist, Capitalist, Religious, Liberal, Nationalist, Conservative, Globalist, etc..) but want  to focus on the Shared Collaborative Values between all Humans. We all need Love, Food and Shelter.

The Stoic Zeno shows the Doors to Truth and False
The Stoic Zeno shows the Doors to Truth and False

Autarky has always been a major political aim of countries. Autarky is about the possibility to control your own future and to become independent of other powers that could use your dependency to tell you what to do to get what you desperately want.

At this moment the shortage of fossil fuels, especially oil and gaz, is used to influence the policy of other countries and is the cause of local conflicts in the Middle East.

China is buying all kinds of vital materials to make sure their economy will not become dependent on others. If they will succeed and nobody doubts about that, they will become the economic controlling power of the world.

Reaching a state of local autarky, being satisfied with what your environment provides you, has become the aim of the wordwide sustainability movement.

Total autarky is possible when you want to live as a stoic or a survivalist. Most people accept a more simple living, move off-the-grid and build autonomous buildings that make use of  renewable energy.

Allotment Garden
Allotment Garden

Others start to farm in their own backyard, join an allotment garden or move back-to-the-land and practice sustainable agriculture.  To handle their surpluses and shortages independent  local markets are created that make use of  alternative currencies.

A strive for (regional) Autarky pushes the need to innovate to a higher level because not all regions contain the right materials, knowledge or experience to realize everything everybody needs. To become fully Autarkic the Production and Consumption Systems in the Region have to be based on simple concepts and parts that are available everywhere. Simple concepts are concepts that are easely copied.

The only way to combine Simple and Complex concepts is to use the Concept of Self-Reference (Fractals). The only way to make use of parts that are available everywhere is to make use of the Simple Building Blocks of Nature. A good example is the use of algea in food processing.

The concept of Autonomy not only plays an important role on the many levels of human (personal, organization, country) and animal society (Competitive vs Collaborative (Ants)). It is also a major subject in the research of (Second-OrderCybernetics (Control Theory).

Self Reproducing Systems
Self Reproducing Fractal Systems

Second Order Cybernetics is concerned with the Control of the System of Systems (the Meta-System). Hierarchy is not the solution to this problem because it leads to the logical problem of Infinite Regress (“Turtles on turtles on … all the way down”).

The Meta-System is controlling, reproducing and balancing itself by a Fractal Feedback-Cycle that moves Backwards (Consumption) and Forwards (Production).

The concept of Self-Reproduction is called Autopoiesis or Autocatalysis. The Design Philosophy of Cradle to Cradle is a good example of Autopoiesis.

A System is an Autarky if all its Levels are capable of Self-Reproduction.

If a human wants to become self-sufficient he has to accept and develop his own talent and find complementary people so he is able to create a Self-Reproducing Unit.

The smallest Self-Reproducing Unit in Human Society is the Family living in one House. This House has to produce more than enough Energy and the Garden has to produce more than enough food to support the Family.

Garden City (Culemborg, the Netherlands)
Garden City (Culemborg, the Netherlands)

If we cluster all these Self-Reproducing Families/Houses & Gardens in a small City the chances are high that the combined talents of the families will be able to supply every profession needed if the people of the city want to Live a Simple Life.

It is also possible that the surplusses and shortages of the families can be compensated by creating a Market on the level of the small City or one level higher, the Region.

An Autarkic Movement becomes an Aggressive Competitive Nationalistic Movement when the Citizens of the Country feel that their Country is plundered by outsiders and their Leaders promise to get it all back by expanding the Space to Live (“Lebensraum“) to facilitate everything that is needed.

This happened when Germany was preparing for War after the enormous reparation payments of 132 billion gold marks to the Winners of World War I.

The Autarkic Movement could also become a Peaceful Cooperative Social Movement like the Movement of Gandhi in India when the people accept the Good Life they already live and want to share the surpluses with others who are in a worse state.

LINKS

Dutch Report about Local Energy Companies (in Dutch)

About the house that produces his own energy (Passive House)

The Complete Book of Self Sufficiency

About Close-Loops Systems

About Smart Grids

About Anti-Fragility

About Fractal Distribution Systems

Jerry Rifkin: About the Distributed Economy

The John Seymour School for Self Sufficiency

About Entrainment

About the EU Policy of Smart Specialization of Regions

About Darwin and Collaboration 

About Artificial Life

About Smart Technology

About the Thermodynamics of Living Systems

About Worldviews (How to find Complementary People)

A City is an Organism

About the Viable Systems Model of Stafford Beer

About Garden City

Gandhi’s view on Capitalism

The Autarkic Dreams of Germany

 

About Intelligent Design

Thermodynamics, the Science of Heat, became an important science in the 19th century when physicists started to improve the Steam-Machine. This blog is about a recently discovered law of Thermodynamics called the Constructal Law.

The Constructal Law describes How Intelligent Systems emerge out of the Laws of Thermodynamics.

Heat is Random Motion

According to Thermodynamics the evolution of the universe has been characterized by an on-going transformation from a simple, restricted, highly condensed, homogeneous state (the Big Bang) to an increasingly complex, widely dispersed, dynamic, multipotent, granular diversity.

Energy always moves from High to Low Temperature. This is the main reason why most of the energy of Earth comes from our Sun.

With help of the Electro-Magnetic radiation of the Sun we call Light, plants, algae and bacteria transform simple molecules into complex organic structures (Biomass = Potential Chemical Energy) and store the energy of the Sun. Bacteria and Fungi brake up these structures, produce heat, reduce the complexity, and close the Cycle.

The Input of the Heat of the Sun has to be compensated by a comparable Output of Radiation otherwise Earth would be burned instantly. The difference between the Input and Output of Energy is transformed into Movements on Earth.

The Earth’s climate is a huge flow system. It circulates air and water from the tropics to the poles and back. These flows develop as air and water move from hot to cold regions, a result of variation in the heating of the Earth’s surface by the sun.

The Earth is not only heated by the Sun. The hot kernel of the Earth is surrounded by a small crust. At certain places on Earth and the Sea the rotating pool of the magma-ocean produces a lot of energy.

The Earth with its solar heat input, heat rejection, and wheels of atmospheric and oceanic circulation, is a heat engine without shaft. Its maximized mechanical power cannot be delivered, but is instead destined to dissipate through air and water friction and other forms of heat loss. It produces maximum power, which it then dissipates at a maximum rate.

The earth is wasting a lot of energy because the transmission of  most of its energy is not contained in a Tube-like-system.

The system maximizes the sum of the work done driving the planetary circulation, and the heat rejected back to space at the cold end of the heat engine.

When the speed of the planetary circulation is low, so are the turbulent losses. As speed increases, up to a certain point the sum of work done (circulation speed) and heat rejected also increasing until the turbulence starts to interfere with the circulation and  actually decrease the total of work done and heat rejected. That is the point, “the edge of turbulence”,  at which the system will naturally run.

Every flow system tries to find the perfect balance between movement and friction.

The biomass on Earth is direct or later (Oil, Gaz, Coal) consumed by all kinds of organisms. In Food-Webs Organisms are consumed by other organisms.

We, the Humans, describe the interaction of the organisms in the Food-Webs as a Struggle for Live, a Survival of the Fittest, but the flow of energy in the food webs could also be seen as an adaptive chain of chemical reactions that are performed in self-moving, self-reproducing chemical factories.

Energy is Potential Movement. The potential energy stored in the biomass on Earth is transformed into circular movement (kinetic energy). During this transformation Heat is produced. Heat is the waste produced by a restrained non-effective movement.

The energy of the Sun produces all kinds of movements on Earth. Examples are river-delta’s, our respiratory system and the weather-system.

Flow Systems that move from one  to many always look like a leaf or a tree
Flow Systems that move from One to Many always look like a Leaf or a Tree. Left a River Delta is shown. Right a picture of the Lungs is displayed.

According to Constructal Theory the generation of design (configuration, patterns, geometry, shape, structure, rhythm) in nature is a physical phenomenon that unites all animate and inanimate systems. Design in Nature always shows itself as systems that flow and improve themselves.  Systems improve themselves because the movement from chaos to order takes many discrete steps.

Biological organisms are flow systems. River basins are flow systems. A Tree is a flow system. The Traffic System is a flow system. The City of Paris is a flow system. The Financial Market is a flow system. The Internet is a flow system. A Proces-Manager is a flow system.

Flow Systems

All these flow systems must be structured (architecturally designed) in such a way that the currents that flow (Life Energy, Water, Air, Electricity, Gaz, People, Cars, Trains, Airplanes, Content, Money) increasingly get to where they need to go. This gives shape and structure to everything that evolves over time.

Flow Systems always remove the Resistance to the Flow themselves.

Constructal Law is formulated as follows: “For a finite-size system to persist in time (to live), it must evolve in such a way that it provides easier access to the imposed currents that flow through it.”.

Nature always provides Resistance to Change (Heat, Erosion, Friction) and this resistance is provided by the Systems of the Past. The current Order resists the potential Chaos of Free Moving Energy.

The Paths of Change of our Universe always move in the same way. The pattern looks like a Moebius Ring, the number 8, because this is the only way to cope with the polarity of the movements. In a Moebius Ring two Opposite Cyclic Movements are perfectly United.

A Moebius Ring is a 2D-structure that operates in 3D because it needs a Twist to operate.

According to Constructal Theory the Energy of the Sun creates two types of Systems called Engines and Brakes.

Engines are the most effective and efficient states in the evolution of our Universe. They have found the best way to cope with the resistance that is provided by the Brakes. Brakes are the old systems like trees, forests and natural or constructed dams that slow down the movement so the potential energy can be stored.

If the Energy of the Sun is not stored,  the Self-Reproducing Systems are unable to evolve to a higher level of organization.  If every Resistance would be gone the Flow-Systems would Flow in a Radial Pattern to every Direction possible.

If we remove the Natural Brakes (Forests, River-delta’s) the Expansive Flow-systems will take over control and the Smart Highly Improbable Next Generation Brake Systems, the Organisms would die.

We, the Humans, are here to Resist the Engines that give the Flow-Systems the opportunity to make Everything the Same. Every Thing has to become the Same because the Universe does not discriminate. Every configuration has the same chance to be alive.

Dependent on the type of flow there are standard solutions to the dualities that are provided by the eternal battle between engine (movement) and brake (not-movement).

Paris is a Flow System

The standard solution can be calculated using the Laws of Thermodynamics. Tree (or Leaf)-shaped fractal systems are for example the best solution for a One-to-Many (or Many-to-One) Flow. The Flow Systems always converge to these Shapes.

Our Earth is rotating, spinning and moving around our moving Sun. The influx of Energy on every area on Earth is changing all the time.

This means that every Flow-System on Earth has to adapt to the short term and long term changing Energy Input of the Sun.

The stability of a Flow-System, the Resistance to Change, is highly dependent on the Resilience of the System.

According to the theory of Panarchy the Resilience of a System is dependent on the Potential and the Connectedness of a System.

In  the Exploitation/Conservation phase of the Adaptive Panarchy-Cycle the Constructal Engines become more efficient (producing more Potential) and Connected. This means that the amount of possible paths in the River-delta of the System is reduced. This amount determinates the resilience of the system.

At the state of maximum production and maximum connection (conservation) the system is spending all its potential at self-reproduction and is highly vulnerable to external disturbances. At a certain moment when a disturbance destroys the majority of the paths the system collapses (release).

Revolt: A small Wildfire can destroy a complete Ecology

The bits and pieces, the components, of the scattered ecology are reassembled sometimes in a different way (reorganization) and the system starts again most of the time on a higher level of organization.

Kleiber’s law

Kleiber’s Law is an example of the Constructal Law. It shows the many levels of organization that have occured since the chemical factories of the bacteria started to work together. Kleiber’s Law can be extented to the level of the Community and the City.

The Panarchy Cycle is Self-Similar. It repeats itself on many Scales. The higher the scale the bigger the impact and the slower change takes place.

The Scales are interconnected. A huge disturbance on a lower scale (Revolt) can have an huge impact on a higher scale when both cycles are moving into the Release State.

A Slow moving High Level Cycle can help to restructure a fast moving cycle by providing the template of the way the components were originally assembled (its CommunityDNA) (Remember).

Constructal Law is a Law of Thermodynamics. Thermodynamics has evolved into a Statistical Theory called Statistical Mechanics. To calculate a probability you have to define the Space of all Possibilities of a System, the Phase Space.

When you don’t know what a system will look like it is impossible to calculate the Phase Space. To calculate the possibilities of Constructal Law you have to imagine the possible constructions of Mother Nature.

It is possible to play with Probability Theory without knowing the exact Phase Space. In this case you have to look at the probabilities of the probabilities. These probabilities are described by the Triangle of Pascal. Behind the Triangle of Pascal a new Triangular Structure shows itself. This pattern goes on and on until the primary Triangle of Creation, the Holy Trinity, is reached.

The Trinity is a combination of Desire (Mother, Female, Expansion, FLOW), Control (Father, Male, Compression, BRAKE) and the combination of both Expansion AND Compression also called the Void or the Tao. In Physics the Void is called the Vacuum or the Zero-Point-Field.

The Triangular Pattern behind the Triangle of Pascal

When we have moved back in time and have reached the state of the Trinity we are very close to the Big Bang. The Big Bang is a result of the Union of the Opposites (Yin/Yang, Male/Female, Matter/Anti-Matter, Expansion/Compression) that both came out of the Void.

The Vacuum is the Eternal Flow System of Creation. It contains everything that is possible even the impossible, the Empty Set.

The Tao is like a well: 

used but never used up.

It is like the eternal void:

filled with infinite possibilities.

It is hidden but always present.

I don’t know who gave birth to it.

It is older than God.

(Tao Te Ching 4)

According to Constructal Law every finite-size system must evolve in such a way that it provides easier access to the imposed currents that flow through it.

The Tao is the Channel of the Energy of Life. If Constructal Law is Right we have to give easier access to this Flow. We have to become the River to move to our final destination, the Sea of the Nothing.

LINKS 

A video about Constructal Theory

About the Higgs Field and the Big Bang

Why the Objects in the Universe are of Different Size

About Innovation and Thermodynamics 

About the Big Bang

About Friction

About the Big Freeze

About the Constructal Theory of David Deutsch

The Website about Constructal Theory

An Introduction into Constructal Theory

About Morphology

About Panarchy

About Kleiber’s Law

About Genetic Similarity Theory

Why a City is an Organism

About the Triangle of Pascal and the Holy Trinity

About the Holy Trinity

About Constructal Law and the Trinity

Attraction + Obstacles = Excitement 

About the Law of three & Gurdjieff

About Perspective

File:Reconstruction of the temple of Jerusalem.jpg
Medieval Perspective

Introduction

When we Look with our Eyes and not with our Mind we can See that Space looks very different from what we Think it is. In Our Space Parallel Lines meet at Infinity.

Around 1400 during the Renaissance Painters started to look at Space with their own Eyes and discovered the Rules of Perspective Drawing.

Between 1600-1800 Perspective Theory changed from a Theory of Art to a Theory of Mathematics called Projective Geometry.

It took 400 Years before a few Mathematicians realized that Projective Geometry was the Foundation of Mathematics and it took another 100 years before Projective Geometry started to influence Physics.

In 1908 Hermann Minkowski discovered that Einstein’s Theory of Special Relativity could be analysed using Projective Geometry. Minkowski created a 4D Space-Time Metric Geometry in which he added one Time Dimension.

Many experiments now show that 4D-Space-Time  is not sufficient to incorporate what Time Really is.

The essence of Our Universe is Movement, Expanding Space,  and Movement = Space/Time (Space Divided By Time).

Both Time and Space are 3-Dimensional and represent a Different,  Reciprocal, Complementary (Dual), View on Movement.

We can move independently in Time OR Space and in Time AND Space (The Chronotope).

The Future is Expanding Space with Infinite Potential.

Time moves behind Space and Scales Space.

About Perspective Drawing

A Mathematical Theory of Perspective Drawing could only be developed when the Renaissance freed painters to depict Nature in a way closer to what they Observed.

In the Middle Ages Social Status was very important. Important People or Buildings were always emphasized.

In the Renaissance the Artists started to look with their own Eyes and Created Pictures where the Viewer looked through the Eyes of the Painter.

The Florentine architect Filippo Brunelleschi (1337-1446) studied Greek Geometry, developed a theory of perspective and undertook painting just to apply his geometry.

The first treatise, Della pittura (1435) by Leone Battista Alberti (1404-72) furnished most of the rules.

Alberti regarded mathematics as the common ground of Art and the Sciences. “To make clear my exposition in writing this brief commentary on painting,” Alberti began his treatise Della pittura, “I will take first from the mathematicians those things which my subject is concerned”.

Alberti stressed that “all steps of learning should be sought from nature“. The ultimate aim of an artist is to imitate nature.

Perspective Machine designed by Albrecht Durer

Alberti did not mean that artists should imitate nature objectively, as it is, but the artist should be especially attentive to beauty, “for in painting beauty is as pleasing as it is necessary“.

The work of art is according to Alberti so constructed that it is impossible to take anything away from it or add anything to it, without impairing the beauty of the whole.

Beauty was for Alberti “the harmony of all parts in relation to one another,” and subsequently “this concord is realized in a particular number, proportion, and arrangement demanded by harmony“.

Alberti’s thoughts on harmony were not new – they could be traced back to Pythagoras – but he set them in a fresh context, which well fit in with the contemporary Aesthetic Discourse.

IMAGE: Leonardo's perspectograph
The Perspectograph of Leonardo Da Vinci

One of the earliest Artists to produce a book on how to draw in perspective was Albrecht Dürer. As well as discussing geometric methods, he also illustrated his book with a set of woodcuts showing practical tools for accurate perspective drawing. Other Artists like Leonardo Da Vinci developed comparable tools.

About Projective Geometry

Projective Geometry formalizes one of the Central Principles of Perspective Drawing and of Human Perception: Parallel Lines Meet at Infinity.

In Euclidean geometry, constructions are made with Ruler (Line) and Compass (Circle). Projective Geometry only require a Ruler.

In Projective Geometry one Never Measures Any Thing, instead, one Relates one Set of Points to another by a Line.

Two projections of the same object.
Different Points of View

Alberti was the first to ask what two pictures have in common if two drawing screens are interposed between the viewer and the object, and the object is projected onto both resulting in two different pictures of the same scene.

The basic idea behind Linear Perspective is simple: in every painting an artist creates a “floor” or area of the painting where the figures and/or objects will be placed. The floor ends at a horizon line, and the horizon line has a Vanishing Point or Point of Convergence on it.

The artist then draws parallel lines radiating from the vanishing point outward. Images closest to the vanishing point should appear smaller and closer together, and images farthest from the vanishing point should appear larger and farther apart, giving the impression of depth and space in the painting.

Pappus of Alexandria ( 290 – 350), one of the last great Greek mathematicians of Antiquity, proved that that given one set of points A, B, C on a line, and another set of points a, b, c on another line, then the intersection points X, Y, Z of line pairs Ab and aB, Ac and aC, Bc and bC are also on a Line. This line originates at the Vanishing Point.

Pappus’ Theorem

Later Desargues (1591-1661) proved Pappus Theorem for Triangels. He proved that the three vertices of one triangle a, b, and c, and those of the other A, B, and C meet in a third point, and that these three points all lie on a common line called the Axis of Perspectivity.

Desargues’ theorem

Later Blaise Pascal (1623-1662) proved Pappus Theorem for Conics (Circles, Parabola, Hyperbola) in his  “Essay on Conics” (1640) when he was 16 years of Age.

Pascals Theorem

About the Four Points of the Cross-Ratio

Finally 400 years later in 1803 Lazare Carnot found the answer to the Question of Leone Battista Alberti.

In his book “Géométrie de Position” he proved that the so called “Cross-Ratio” is always preserved in a Projection with One Point of View.

The Cross-Ratio

The Cross-Ratio is the Ratio of the Ratio of the Four Points A,B,C,D lying on a Line that intersects the Four Lines defined by a,b,c,d that orginate at the Vanishing Point O.  Carnot  proved that (AB)(CD)/(AC)(BD) = (A′B′)(C′D′)/(A′C′)(B′D′).

The Cross Ratio is not only the Cross-Ratio of the Four Points A,B,C,D. It is also the Cross-Ratio of the Four Lines  and the Three Angles that originate out of the Vanishing Point. In this case (AB)(CD)/(AC)(BD)=Sin(AB) x Sin(CD)/Sin (AC) x Sin (BD).

This principle is called Duality. In 2D-Projective Geometry Connected Points and Lines, called an Incidence, are interchangeable.

There is a corresponding Duality in three-dimensional Projective Geometry between Points and Planes. Here, the line is its own Duality, because it is determined by either two points or two planes.

ratios.jpg
The Cross-Ratio k is dependent on the Order of the Four Points. It converges to 0 and infinity when k=1 and to -1/2 and 2 when k= -1.

Two examples: 2D: Two distinct Points determine a unique Line and two distinct Lines determine a unique Point. 3-D:  Three distinct Points not all on the same Line determine a unique Plane and three distinct Planes not all containing the same Line determine (meet in) a unique Point.

The 24 Permutations of A,B,C and D produce 6 possible values of the Cross-Ratio, depending on the order in which the points are given. If k = 1, the other Cross-Ratio’s are 0 and infinity. This happens when point A = point D. In this case the Geometric Entity is an Equilateral Triangle.

If k = -1, the other Cross-Ratio’s are -1/2 and 2. This is called a Harmonic Cross-Ratio. This happens when the Internal Ratio of AC determinated by B is Equal to the External Ratio of AC determinated by D. When k=-1/2 and 2 the Geometric Entity is a Square.

If the Four Points of the Cross-Ratio are on a Line or a Circle, then the Cross Ratio is a Real Number, otherwise the Cross-Ratio is a Complex Number.

Ruler (Space) and Compass (Time): The Tools of the Geometer

About the Four Layers of Geometry and the Four Points of the Cross-Ratio

In 1872 Felix Klein, published a new Mathematical Research Program called the Erlangen Program under the title Vergleichende Betrachtungen über neuere geometrische Forschungen.

In this program Projective Geometry was emphasized as the Unifying Frame for all other Geometries.

Although lines in the Projective Plane meet in one point of Infinity Klein argued that there could be two points of Infinity if the Projective Plane was a Surface Closed in Itself.

When we look at the Origin of Projective Geometry, the Artist painting A Sphere, Earth, on a Flat Surface, it is not difficult to realize that this Closed Surface is a Sphere.

.

Geometry is now divided into Four  Layers. Each Layer adds a set of Assumptions that creates certain Invariants for that Layer.

An invariant is a property of a configuration of Geometric Entities that is not altered by any transformation belonging to the specific layer.

A transformation is an operation applied to a Geometric Entity. The most common transformations are Translation, Rotation and their Combinations (Reflection).

What we will see is that the Four Points of the Cross-Ratio are highly related to the Four Layers. In Every Higher Layer One Point of the Cross-Ratio is moved to the Internal Landscape, the Mind, of the Observer. This principle is called “As Within so Without“.

The First and most fundamental Layer is the Layer of Projective Geometry. This is the Layer of Human Perception and is invariant under the Cross-Ratio also called a Moebius Transformation.

The Second Layer is called Affine Geometry. In this layer Parallel Lines are preserved and the Assumption of a Plane at Infinity, the Horizon,  is created.  This Plane generates Parallel and Orthogonal Relationships between Geometric Entities by placing One of the Four Points of the Cross-Ratio in the Plane at Infinity.

Affine Geometry is Euclidean Geometry with congruence (something is the same when Shape and Size are the Same) and a metric (a definition of a Distance) left out. An affine transformation preserves straight lines and ratios of distances between points lying on a straight line.

This the layer of  the Emotions, “the harmony of all parts in affinity to one another” of  Leone Batista Alberti.  In Affine Geometry the Frame of Reference of the Painter, the Floor,  is created. On this Floor,  the Horizon, the Plane at Infinity is drawn.  From the Point of View of the Observer, it is not possible  to Judge Distance or the-Sameness because a given Visual Object may be Large and Far away or Small and Close.

In Eucludian Geometry A Ruler contains a Fixed Scale

The Third Layer, Metric Geometry, adds the concept of Distance (Metric, Scale) to the Affine Layer. A Distance is a relation between Two Points of the Cross-Ratio. This is the Layer of the Painter, Creator, Observer, who creates his own Distance to the Distances he is Painting in the External Frame he is looking at.

Since Projective Space is the Space of Actual Perception, the true function of Metric Space is the Coordination of Various Perspectives. This is illustrated in Perspective Drawing, in which there are always Two Perspectives being Coordinated—the Vanishing Point and a Point just behind the Eyes of the Observer.  Each of these is an instance of the One Point at Infinity.

alchemy
The Expectation looks through a Small Hole.

The last, Fourth,  Layer is the layer of Euclidian Geometry. In Euclidean Geometry Distance is Fixed (not Relative) and Scaled to a Unity (Meters). This leaves us with just One Point of the Cross-Ratio, the Unity, the One.

Between  1926 and  his death in 1983 Alfred Tarski worked on the Axiomatization of Euclidean Geometry. In Tarski’s system there is only one type of Object: the One, The Point.

There are just two Geometrical notions between Points: the Ternary Relation of “in-Betweenness” and the Quaternary Relation of “Equidistance” or Congruence.  Betweenness captures the Affine aspect of Euclidean Geometry; Equidistance/Congruence, its Metric aspect.

This is the Layer of the Human Expectation who has not Distanced Itself and is Looking Outside Through a Small Hole at the Future. The Expectation considers the Future as an Extension of the Past (Memory).

In Euclidian Geometry we have to Move Outside to the Objects to Measure their Distance and the Sameness with a Pre-Defined Unity.

If we don’t move to the Object we will measure an Illusion.

About Space measured by Time and Space measured by Space

The Ancient Sumerians  knew that the Length of one side of a Hexagon is the same length as is the Radius of the Circle that circumscribes this Hexagon (See Pascals Theorem).

They also knew that the Stars of the Constellations of the Zodiac shift Counterclockwise, at the rate of 72 years/degree, because of the Precession of the Earth’s axis. One Wobble takes 25.920 years.

The length of one side of the Earth Hexagon is therefore the Distance traveled by the Constellations of the Zodiac along the horizon during 25.920/6=4,320 years.

They then subdivided this distance by 7,200  which produced the Royal Mile that was subdivided into 1,760 Royal Cubits.

Before 3.117 BC the complete Earth was covered with a uniform Geodesic System that was based on the Rotation and Precession of the Constellations of the Zodiac. This System was implemented in the Megaliths.

At that Time Space was measured by Time.

The Physical System of the Megaliths was destroyed by the Great Flood of 3.117 BC but the Metric System survived thousands of years until the French Revolution.

On the 8th of May, 1790, Charles Maurice de Talleyrand at the end of the French Revolution, proposed before the National Assembly in Paris a Change to a Decimal Measurement System.

The Academy of Science recommended that the new definition for a Meter be equal to 1/10,000,000 of the distance between the North Pole and the Equator, and this was accepted by the National Assembly in 1791.

From that Time on Space was measured by Space.

Why the Future contains Infinite Possibilities

A Painter or a Human always looks Forwards in Space. If there are Parallel Lines visible they all Converge to a Vanishing Point at The  Horizon. The Horizon is a Parallel Line at Infinity.

We all know that the Parallel Line of the Horizon is caused by the fact that the Earth is a Moving Sphere. This Moving Sphere moves around other Spheres that move around other Spheres.

The Rotation of the Spheres in Space is used as a Clock. Every time when the Cycle of the Spheres repeats itself we add one unit to a standard Time-Measure. One Sun Cycle is named a Year. One Cycle of the Precession takes 25,920 Years.

We Measure our Time by the Cyclic Movement of Objects in Space. The Cyclic Movements caused by the Rotations of Objects around Objects (around Objects) is really a Rotating Rotating Rotation, a Spiraling Spiral.

We don’t live in the Sphere but we live and Move on the Surface of a  Moving Sphere. That is why our Geometry is an Elliptic Geometry (or Projective Geometry).

Euclides and Pythagoras were aware of Projective Geometry (See also Pappus) but the Scientists of the Enlightenmentstarted to interpret their Theory with a Different Eye. They saw Numbers in a completely different way the Greek did.

The Scientist disconnected Number from Magnitude (Form) and created an Abstract Static Number Theory and an Abstract  Static Theory of Physics. The Movement of our Universe, the Ether, came to a stilstand.

The Theory of Perspective Drawing, based on our Real Perception of Reality, is the same theory that generated Projective Geometry. We are now back to Normal again.

In the blog about Geometric Algebra I wrote about a very Independent Thinker called Dewey B. Larson.

He reinvented Physics and Projective Geometry in his own way, Calculated all the well known Physical Constants and based his Theory on a simple well know Assumption that Space and Time are Reciprocal (A Ratio of Ratio’s , the Cross-Ratio) because Velocity= dS(pace)/dT(ime).

Moving Movement is the Essence of our Reality.

What Larson calls “Motion” is the Ether Wind (or the Higgs Field) the Velocity which was measured in the North-South (Z) direction at 208 km/s in 1933 by Dayton C. Miller.

Einstein believed the results of the Michelson-Morley Experiments in 1887 that “proved” that the Moving Ether was non-existent. Now we know that the experiments were wrong.  Einstein also did not believe that Space was Expanding. At this moment the Expanding Universe is confirmed by many observations.

When Space Expands,  Time Compresses and fills up the Space to Keep Balance. Time Scales Space.

Space moves to Infinity. Time Moves to the Inverse of Infinity, Zero. Space is measured by the Linear Visible Scalar Number-System. Time is Measured with the Rotational Invisible Imaginary Number System.

Expanding Space is Linear Motion. Time is the Spiraling Motion of the Vortex.

golden mean spiral2
The Spiraling Spiral of Time

Space is Yang and Time is Yin. Yin is feminine, Curved, Rotational, smooth or cold. Yang is masculine, Straight, Linear, rough or hot.

Space and Time are Complementary Duals that Move Around the Void.

If we look at the Human Perspective we now are able to understand what Time and Space Really are.

When we Look Forward we Experience Space. Time is always Behind our Back.

Human Senses and Conventional, Scientific Equipment can only Look Forward and therefore Measure Space (Distance) and the Change of Space (Velocity, Acceleration).

This is a Limitation of our Physical Sensory System, which evolved to measure Space, Scaled by Time, to produce what we Perceive as Causality–a Linear Ordering of Events.

Without the Cause-and-Effect System, the Sensory World of Space would just become Chaos.

Time, History, is Always Behind Us and Space, The Future, The Adjacent Possible, with Infinite Possibilities, is Always in Front of Us.

Let’s Move.

LINKS

Generalized Projective Geometry

About Pythagoras and Heliopolis (Egypt)

About Pythagoras

Paul Dirac: About Physics and Projective Geometry

About the Middle Ages

About Expanding Space and Not-Euclidian Geometry

About the Renaissance

About Resistance and Mass

About the Mathematics of Perspective

About the Ether

About Clean Space

About Projective Geometry

Pictures of the Projective Plane

About Geometric Algebra

About As Within, So Without

About the Reciprocal Theory of Dewey B. Larson

A Video about Mobius Transformations

About Projective Geometry and our Senses

About Projective Geometry and Geometric Algebra

About the Cube of Space

About Time and Paranormal Experiences

About Geometry

A Textbook about Metric Geometry

About the Four Points of View

About the Void

Why the Future is Open Space

About Alchemy and the Klein Bottle

About the Human Sensory System

Stuart Kaufmann: About the Adjacent Possible

About Number and Magnitude

We have lost the relationship between Number and Form or Number and Magnitude as the Ancient Greeks called their Forms.

A few years ago a Revolution in Mathematics and Physics has started. This revolution is caused by Geometric Algebra.

In Geometric Algebra the Ancient Theories of Euclid and Pythagoras are reevaluated.

Numbers are Scalar (Quantum) Movements of Geometric Patterns and not Static Symbols of Abstractions that have nothing to do with our Reality.

Movements and not Forces are the Essence of Physics.

The basic rule Movement = Space/Time (v=s/t) shows that  Time and Space are two Reciprocal 3D-Spaces. Our Senses Experience Space and not Time.

The Simple Rule N/N=1/1=1 balances the Duals of Space and Time. One Unit Step in Space is always Compensated by One Unit Step in Time.

Geometric Algebra has a strange relationship with Pascals Triangle. This Triangle, also called the Binomial Expansion, contains all the Possible Combinations of two Independent Variables. Our Universe is a Combination of Combinations exploring Every Possibility.

The last and perhaps most important Discovery in Mathematics called Bott Periodicity shows itself in Pascals Triangle.

Bott Periodicity proves that we live in a Cyclic Fractal Universe, the Wheel of Fortune, that is Rotating around the Void, the Empty Set. The Empty Set contains Every Thing that is Impossible in our Universe.

This blog is not a Scientific Article. I have tried to connect the Old Sciences and the New Sciences in my own Way.

It contains many links to Scientific Articles and even Courses in Geometric Algebra.

So if you want to Dig Deeper Nothing will Stop You.

About the One and the Dirac Delta Function

Every Thing was created out of  No Thing, the Empty Set, ɸ, the Void, the Tao. The Empty Set contains 0 objects.

The Empty Set is not Empty. It contains Infinite (∞) Possibilities that are Impossible.

Every impossibility has a probability of 0 but the sum of all possibilities (1/∞=0) is always 1. In the beginning ∞/∞ =1  or ∞x0=1.

This relationship is represented by the Dirac Delta Function. It is used to simulate a Point Source of Energy (a Spike, an Explosion) in Physics.

The Delta is reprented by the Symbol Δ, a Triangle. The Delta is called Dalet in the Phoenican and Hebrew Alphabet. Daleth is the number 4 and means Door.

The original symbol of the Delta/Daleth contains two lines with a 90 Degree Angle. Two orthogonal lines create a Square or Plane.

The Dirac Delta Function is defined as a Square  with an Area of 1,  a Width of 1/n and a Height of n where n->∞.

The Dirac Delta Function is a Line with an Area of 1.

In the Beginning a Huge Explosion took place that created the Universe.

The Dirac Delta Function δ (x) has interesting properties: δ (x) = δ (-x), δ (x) = δ (1/x). It has two Symmetries related to the Negative Numbers and the Rational Numbers.

When we move from 2D to 1D, the Number Line, the Delta Function becomes the Set of the Numbers N/N =1.

The Tetraktys of Pythagoras

The Monad (1) of the Tetraktys of Pythagoras, the Top of the Triangle, was created by Dividing the One (1) by Itself without Diminishing itself. The Monad (1/1=1)  is part of  the 1D Delta Function.

Creation is an Expansion of the 1/1 into the N/N, adding 1/1 all the time,  until ∞/∞ is reached. At that moment every Impossibility has been realized.

File:Dirac function approximation.gif
The Dirac Delta Pulse

 

To move Back to the Void and restore the Eternal Balance of  the One,  Dividing (Compression) has to be compensated by Multiplication (Expansion).

At the End of Time N/M and M/N have to find Balance in the N/N,  move Back to  1/1, Unite in the 0 and become The Void (ɸ) again.

About the Strange Behavior of Numbers

The big problem of the Numbers is that they sometimes behave very differently from what we Expect them to do.

This Strange Behavior happens when we try to Reverse what we are doing.

It looks like the Expansion of the Universe of Numbers is Easy but the Contraction creates many Obstacles.

It all starts with the Natural Numbers (1,2,3,).

When we Reverse an Addition (Subtract) and move over the Line of the Void Negative Numbers appear. Together with the Natural Numbers they are called the Integers.

The same happens when we Reverse a Division and the Fractions (the Rational Numbers) (1/3, 7/9) suddenly pop up.

An Integer N is a Rational Number divided by 1 (N/1).

The Integers are the Multiples of 1, the Fractions are its Parts.

Numbers behave even stranger when we want to Reverse a Repeating Repeating Addition (Irrational Numbers) and want to calculate a Rational Power (2**1/2).

The Complex Numbers (or Imaginary Numbers), based on the Square Root of -1 called i, are a combination of the Negative Numbers and the Irrational Numbers.

Irrational Numbers ( the Pythagorean Theorem), Fractions (a Piece of the Cake) and Negative Numbers (a Debt) are part of our Reality but the Strange Number i represents something we cannot Imagine.

About the Duality and the Expansion of Space

In the beginning the only One who was in existence was the 1.

When the One divide itself again the number -1, the Complement of 1, came into existence.

1 and -1 are voided in the No Thing, the Empty Set, 0:  -1 + 1 = 0.

The Two, the Duality, both started to Expand in Two Opposite Directions (<– and +->) both meeting in the  ∞/∞. This expansion is what we call Space.

Space is a Combination of the Strings S(1,1,1,1,1,…) and -S = (-1,-,1,-,1,-1,…) where S+S=(0,0,0,0,0,0,…).

The Expansion pattern of Space is a Recursive Function S: S(N)=S(N-1)+1 in which + means concatenate (or add) the String “,1”.

An Addition X + Y is a concatenation of S(X) and S(Y). A Substraction X-Y is a concatenation of S(X) and -S(Y). In the last case all the corresponding combinations of 1 and -1 are voided. (1,1,1,1)-(1,1,1)=(0,0,0,1)=(1).

Multiplication XxY is Adding String S(Y) every time a “1” of S(X ) is encountered: 111 x 11 = 11  11  11. Dividing X/Y is Subtracting S(X) every time a “1” of S(Y) is encountered:.111  111  1/111=11 1/111. In the last example a Fraction 1/111 appears.

This Number System is called the Unary Number System.

About the Trinity and the Compression of Space called Time

The Strange Behavior of Numbers is caused by the Limitations of our Memory System. We are unable to remember long strings that contain the same Number.

To make things easy for us we Divide Space into small Parts so we were able to Re-Member (Re-Combine the Parts).

When we want to Re-member, Move Back in Time, we have to Compress Expanding Space.

Compressed Space is Time.

Time and Space have a Reciprocal Relationship called Movement (Velocity = Space/Time).

There are  many ways ( (1,1,1), (1,1,1),..) or ((1,1),(1,1))) to Compress a String in Repeating Sub-Patterns.

In the blog About the Trinity I showed that the most Efficient Way to group the One’s is to make use of a Fractal Pattern (a Self Reference) and Groups of Three Ones.

The Trinity applied to the Trinity ( A Fractal) is a Rotating Binary Tree. Binary Trees represent the Choices we make in Life.

The rotating Expanding Binary Trees generate the Platonic Solids (see linked video!) when the (number)-parts of the Binary Tree Connect.

The Ternairy Number System is represented by the Binary Tree

When we connect Three Ones (1,1,1) by Three Lines (1-1,1-1,1-1) a 2 Dimensional Triangle Δ is Created.

If we take the Δ as a new Unity we are able to rewrite the patterns of 1’s and -1’s into a much Shorter Pattern of Δ’s and 1’s: (1,1,1),(1,1,1),(1,1,1), 1,1 becomes Δ,Δ,Δ,1,1.

We can repeat this approach when there is still a Trinity left: Δ,Δ,Δ,1,1 becomes ΔxΔ,1,1.

This Number System is called the Ternary Number System.

About Ratio’s and Magnitudes

According to EuclidA Ratio is a sort of relation in respect of size between two magnitudes of the same kind“.

A Magnitude is a Size: a property by which it can be compared as Larger or Smaller than other objects of the Same Kind. A Line has a Length, a Plane has an Area (Length x Width), a Solid a Volume (Length xWitdth x Height).

For the Greeks, the Numbers (Arithmoi) were the Positive Integers. The objects of Geometry: Points, Lines, Planes , were referred to as “Magnitudes” (Forms). They were not numbers, and had no numbers attached.

Ratio, was a Relationship between Forms and a Proportion was a relationship between the Part and the Whole (the Monad) of a Form.

Newton turned the Greek conception of Number completely on its head: “By Number we understand, not so much a Multitude of Unities, as the abstracted Ratio of any Quantity, to another Quantity of the same Kind, which we take for Unity”.

We now think of a Ratio as a Number obtained from other numbers by Division. A Proportion, for us, is a statement of equality between two “Ratio‐Numbers”.

This was not the thought pattern of the ancient Greeks. When Euclid states that the ratio of A to B is the same as the ratio of C to D, the letters A, B, C and D do not refer to numbers at all, but to segments or polygonal regions or some such magnitudes.

The Ratio of two geometric structures  was determinated  by fitting the Unit Parts of the first geometric Stucture into the Other.

The Perfect Triangle of the Tetraktys contains 9 = 3x3 Triangels. A Triangle contains 3 Lines and 3 Points.

An Example:  The Tetraktys is a Triangle (A Monad) and contains 9 Triangles (a Monad). The 1x1x1-Triangle Δ, a Part of the Tetraktys,  is Proportional to the Whole of the Tetraktys (T) and has a Ratio T/Δ = 3= Δ -> T = Δ (3)  x Δ (3) = 9.

The Mathematics of Euclid is not a Mathematics of Numbers, but a Mathematics of Forms.

The symbols, relationships and manipulations have Physical or Geometric Objects as their referents.

You cannot work on this Mathematics without Knowing (and Seeing) the Objects that you are Working with.

About Hermann Grassman, David Hestenes and the Moving Line called Vector

Hermann Grasmann lived between 1809 and and 1877 in Stettin (Germany). Grassmann was a genius and invented Geometric Algebra a 100 years before it was invented.

In his time the most important mathematicians did not understand what he was talking about although many of them copied parts of his ideas and created their own restricted version. None of them saw the whole Grassmann was seeing.

When he was convinced nobody would believe him he became a linguist. He wrote books on German grammar, collected folk songs, and learned Sanskrit. His dictionary and his translation of the Rigveda were recognized among philologists.

Grassmann took over the heritage of Euclid and added, Motion, something Euclid was aware of but could not handle properly.

angle between vectors in 2 dimentions
A Displacement or Bivector

Grassmann became aware of the fact your hand is moving when you draw a 2D Geometric Structure. He called the Moving Lines, that connect the Points, Displacements (“Strecke”).

screw theory 2
A Displacement and a Rotation of a Vector

In our current terminology we would call the Displacements “Vectors”.

blades

Vector algebra is simpler, but specific to Euclidean 3-space, while Geometric Algebra works in all dimensions. In this case Vectors become Bi/Tri or Multi-Vectors (Blades).

The Trick of Grassmann was that he could transform every transformation on any geometrical structure into a very simple Algebra. Multi-Dimensional Geometric Structures could be Added, Multiplied and Divided.

The Greek Theory of Ratio and Proportion is now incorporated in the properties of Scalar and Vector multiplication.

add-bivectors
Combining (Adding) Bivectors creates a Trivector

About a 100 years later David Hestenes improved the Theory of Grassmann by incorporating the Imaginary Numbers. In this way he united many until now highly disconnected fields of Mathematics that were created by the many mathematicians who copied parts of Grassmanns Heritage.

About Complex Numbers, Octions, Quaternions, Clifford Algebra and Rotations in Infinite Space

Grassmann did not pay much attention to the Complex Numbers until he heard of a young mathematician called William Kingdon Clifford (1845-1879).

Complex numbers are ,just like the Rationals (a/b), 2D-Numbers. A Complex number Z = a  + ib where  i**2=-1. Complex Numbers can be represented in Polar Coordinates: Z = R (cos(x) + i sin(x)) where R = SQRT(a**2 + b**2).  R is the Radius, the Distance to the Center (0,0).

When you have defined a 2D-complex Number it is easy to define a 4-D-Complex Number called a Quaternion:  Z = a + ib + jc + kd or a 8-D Complex Number called an Octonion.

William Rowan Hamilton, the inventor of the Quaternions, had big problems to find an interpretation of all the combinations i, j and k until he realized that i**2 =j**2 = k**2 = ijk=-1.

What Hamilton did not realize at that time was that he just like Grassmann had invented Vector Algebra and Geometric Algebra.

Quaternions are rotations in 4D-space

This all changed when William Kingdon Clifford united everything in his new Algebra.  Clifford’s algebra is composed of elements which are Combinations of Grassman’s Multivectors.

The Clifford Algebra that represents 3D Euclidean Geometry has 8 = 2**3 components instead of 3: 1 number (Point), 3 vectors (Length), 3 bivectors (Area) and 1 trivector (Volume).

It turns out if you use combinations of these elements to describe your geometric objects you can do the same things you did before (you still have 3 vector components).

In addition, you can have additional data in those other components that let you find distances and intersections (and a lot of other useful information) using simple and (computationally) cheap numerical operations.

The most important Insight of William Kingdom Clifford was that the Complex Numbers are not Numbers all.

They are Rotations in higher Dimensional Spaces.

About Pascal’s Triangle and Mount Meru

The String 1,3,3,1 of Clifford’s 3D Geometry is related to the 4th Level of Pascal’s Triangle. Level N of Pascal’s Triangle represents N-1-Dimensional Geometries.

The Sum of every level N of the Triangle is 2**N. This Number expresses the Number of Directions of the Geometric Structure of a Space with Dimension N.

A Point has 0 Direction, while a Line has 2 Directions, relative to its Center point, a Plane has 4 Directions, relative to its Center Point, and a Cube has 8 directions, relative to its Center point.

Mount Meru (Pascal's Triangle in Vedic Mathematics)

Pascal’s Triangle is also called the Binomial Expansion. This Expansion shows all the Combinations of two letters A and B in the function (A+B)**N. Level 1 of the Triangle is (A+B)**0 = 1  and level 2 is A x A + 2 A x B + B x B -> 1,2,1.

The Binomial Expansion converges to the Bell-Shaped Normal Distribution when N-> ∞.

The Diagonals of Pascal’s Triangle contain the Geometric Number Systems (Triangular Numbers, Pyramid Numbers, Pentatonal Numbers, ..) and the Golden Spiral of the Fibonacci Numbers.

Pascal’s Triangle is a Repository of all the Possible Magnitudes and their Components.

The Normal Distribution shows that the first level of the Triangle (the Tetraktys) is much more probable than the last levels.

The first four Levels of the Triangle of Pascal contain the Tetraktys of Pythagoras.

 

The Tetraktys  is an Ancient Vedic Mathematical Structure called the  Sri Yantra, Meru Prastara or Mount Meru.

About Numbers, Operations and the Klein Bottle

The Complex Numbers are not “Numbers” (Scalars) at all.

They are “Operations” (Movements) that can be applied to Magnitudes (Geometries) and Magnitudes are Combinations of the Simple Building Blocks of the Tetraktys, Points and Lines.

The Tao of Ancient China was not for nothing represented by a Flow of Water. According to the Ancient Chinese Mathematicians Every Thing Moves.  In the Beginning there was only Movement.

In the Beginning only the One was Moved but when the Duality was created the Two moved around each other never getting into contact to Avoid the Void.

When we look at the Numbers we now can see that they are the result of the Movements of  the first Diagonal of Pascals Triangle,  the 1’s (Points) or better the Powers of  the One: 1 **N (where N is a Dimension).

Even in the most simple Number System, the Unary Number System, Concatenation is an Operation, An Algorithm.

The Mathematician John Conway recently invented a new Number System called the Surreal Numbers that contains Every Number you can Imagine.

The Surreal Numbers are created out of the Void (ɸ)  by a simple Algorithm (Conway calls an Algorithm a Game) that describes Movements (Choices of Direction: Up, Down, Left, Right, ..)  that help you to Navigate in the N-Dimensional Number Space.

The Ancient Chinese Mathematicians played the same Game with the Numbers.

Algorithms were already known for a very long time by the Ancient Vedic Mathematicians. They called them Yantra’s.

SriYantra
Sri Yantra

Geometry is concerned with the Static Forms of Lines and Points but there are many other more “Curved” forms that are the result of  Rotating Expansion and Compression. These forms are researched by the modern version of Geometry called Topology.

The most interesting 4D Topological Structure is the Klein Bottle.  The Klein Bottle is  a combination of two Moebius Rings. It represents a Structure that is Closed in Itself.

It can be constructed by gluing both pairs of opposite edges of a Rectangle together giving one pair a Half-Twist. The Klein Bottle is highly related to the Ancient Art of Alchemy.

The movement of the Duality around the Void can be represented by a Moebius Ring the Symbol of Infinity ∞.

Later in this Blog we will see why the Number 8 is a Rotation of ∞ and the symbol of Number 8 is a combination of the symbol of the number 3 and its mirror.

First we will have a look at the Reciprocal Relation between Space and Time.

The Klein Bottle, The Universe Closed in Itself, the Basic Structure behind Alchemy.
The Klein Bottle, The Universe Closed in Itself, the Basic Structure behind Alchemy.

About Dewey B. Larson, Velocity and Time

Dewey B. Larson (1898 – 1990) was an American Engineer who developed the Reciprocal System of Physical Theory (RST).

Larson believed that the failure to recognize that Motion is the most basic physical constituent of the universe has handicapped the progress of the traditional study of physics, which focuses on Forces.

The definition of Motion stems from the Equation of Velocity, v = ds/dt.

Instead of depending upon the change of the location of an object to define an arbitrary “quantum” of space per “quantum” of time, such as miles per hour, or meters per second, the RST assumes that the observed universal passage, or progression, of time is one aspect of a universal motion that necessarily must be accompanied by a universal “passage,” or progression, of space.

The Units of Time fill up the Units of Space. Space and Time are Duals.

Space is not-Time and Time is not-Space. Time is Non-Local, Cyclic and represented by the Rotating Imaginary Numbers. Space is Local, Linear and Represented by the Scalar Numbers. Space is the Vacuum and the Nothing and Time is the non-vacuum, the Every Thing, the Solids represented by the Cube of Space.

The Cube of Space is the structure behind the Tetraktys but also behind the Book of Genesis.

Our Reality contains two Reciprocal 3D-structures related to Space and Time. Space and Time are related by the Simple Formula N/N=1/1=1, the Formula of Diracs Delta Function.

We are able to perceive the Real 3D-Structure of Space. The 3D-Structure of Time is Imaginary. It is situated in the Imaginary Number Space of i.

LarsonsScalarCube.jpg
Larson’s Cube, the Geometric Representation of the Octonion.

Larson, a Self Thought Genius like Grassmann, developed Geometric Algebra without knowing anything about Geometric Algebra but he also invented String Theory long before String Theory was invented.  The Mathematics of Larson is also the Mathematics of the Tetraktys of Pythagoras without even knowing anything about it.

wom_image3.jpg
The Periodic System of Larson

Larson was able to Calculate all the important Physical Numbers without any problem and was also able to Calculate Chemical Structures and Reactions.

About the Bott Periodicity

The fourth line of Pascals Triangle and the Tetraktys contains 8 Directions in the Four Geometric Dimensions: 0, 1, 2, and 3.

Mathematicians are intrigued with this number 8, because they find it popping up unexpectedly in advanced mathematics.

In fact, expanding the Binomial Expansion to 8 dimensions just creates an inverse copy of these first Four Dimensions, and then the pattern just repeats itself with a half-twist and back from there, ad infinitum.

This is called Bott Periodicity discovered by the mathematician Raoul Bott (1923-2005).

The mathematician John Baez wrote an article in which he relates this 8-fold Periodicity to the Scalars (1), the Complex Numbers (2), the Quaternions (2×2), and the Octonions (2x2x2 = 2**3).

Bott Periodicity

The Universe of Numbers and Magnitudes  is Cyclic and Fractal.

Our own Reality, symbolized by the Tetraktys,  repeats itself in Higher Dimensions until Infinity.

The Tetrad, represents Completion, because it contains all its Previous Numbers, the 1, 2, 3, and itself, 4, in One Number, 10 = (The One) +  9 (= 3 (Trinity)x 3 (Trinity) = Tetraktys).

As you can see in the Picture above the Fractal Pattern of 8 contains two kinds of Trinities/Triangles, an Upside and a Downside (Rotated by 180 Degrees) Triangle. When you Rotate by 180 Degrees the 1 becomes -1 and 1 + -1 =0 is the Void.

The Square is a combination of two Triangels. It is represented by the Of Star of David, the Symbol of the Heart Chakra.
The Star of David, the Symbol of Human Center, the Heart Chakra.

The Multi Dimensional Rotations of the Octonions always Come Back to Square 1/1=1, the One and keep Rotating around the Center, the Nothing,   Until Infinity.

LINKS

About the Tetraktys (1)

About the Tetraktys (2)

About Triangular Numbers and Pascal’s Triangle

About the Empty Set

About the Relationship Between Geometry and Music

About the Trinity

About the Game of the Surreal Numbers

About Larson and the Unification of Mathematics

The Collected Works of Dewey B Larson

About Number and Magnitude

About Ratio and Proportion

About Ratio and Proportion by Euclid

A book of Augustus deMorgan about “The Connection between Number and Magnitude”

The text of the Fifth Book of Euclid

An Educational You Tube Channel called Insights in Mathematics

About the History of Geometric Algebra

About the Sri Yantra

About Geometric Algebra

Free Software to use Geometric Algebra

About Clifford Algebra

About Yantra’s

About Movement

About Topology

About the Digital Root Patterns

About the Heart Chakra

A Video that shows how the Platonic Solids are created out of the Trinity Numbers

All you want to know about Geometric Patterns

About the Vedic Square

This blog is about the Cycle of Nine implemented in the Digital Root or Modulus 9-Function. The Digital Root generates many Patterns that were used in Ancient Architectures.

One of the most important Digital Root Patterns is the Vedic Square. It is the Digital Root of the Multiplication Table of the numbers 1 to 9.

This Table contains the Harmonics of the Numbers 1 to 9. These Harmonics are highly related to the Harmonic Pattern behind the Cycles in our Universe.

The first part of this Blog is about the Digital Root. It contains the patterns that are behind the Cycle of Nine.

This part is very technical but it makes it possible to show that there is a deep structure  behind the Modulus-9.

This pattern has to do with just two numbers, 2 and 3. They generate the Spirals of Expansion and Compression of our Universe.

2 and 3 and their Sum 5  are also the Numbers behind the Harmonics of our Universe.

The Second Part is about the Vedic Square. It is called the Vedic Square because this Square is one of the most important tools in Ancient Vedic Mathematics.

Vedic Mathematics was used in many Ancient Cultures (China, Egypt, Greece) with different names. The Chinese art of Feng Shui was called Vaastu Shastra in India.

Pythagoras, trained in Egypt (Heliopolis),  used the same principles and used the same  Patterns the Ancient Vedic Scientists were using.

The last part is about the Game of Chess. This game is  just like many other Ancient Games a Simulator of the Game of the Universe.

This blog contains many links to other Blogs and Resources on the Internet. These references make it possible to dig deeper into this fascinating subject.

About the Digital Root

When  you divide a number X by a number N the Remainder of the division is called X Modulus N.  22 mod 7 = 1 because 22 = 3×7 + 1.

The Modulus-function N maps the Set of the Natural Numbers to the Numbers 0, 1, 2, ….,N-1.

One of the most famous and ancient Modulus-functions is called the Digital Root. The Digital Root is the Modulus 9 function.

Because 10 mod 9 = 1 every Power of 10 has a Modulus 9 of 1. Therefore (a10**X+ b10**Y+…) mod 9 = a + b, the Sum of the Digits of the Number. 62 mod 9 = 6+2 = 8.

Digital Roots have been recorded for thousands of years, formalized by Pythagoras in 530BC and even earlier in Indian Vedic Mathematics (Vaastu Shastra).

Digital Roots are used in Numerology. In Numerology Numbers have a Meaning.

In Gematria Letters and Words are transformed into Numbers which have a meaning.

In Ancient Languages like Hebrew Letters are also Numbers. Numerologists believe that Words with the same Digital Root have the same Meaning.

The numbers 0 to 9 of the Digital Root are the Points of the Tetraktys of Pythagoras.

The Tetraktys of Pythagoras

The Modulus 9 pattern contains 2 number groups (3,6, 9) and (1,2,4, 5,7,8).

Later we will see that the last group contains 2 subgroups (1,4,7) and (2,5,8).  Together with (3,6,9) we can map these 3 Triangels on the Modulus 9 Circle.

4 is the Middle of 1+7=8, 5 is the Middle of  2+8=10 =1 and 6 is the Middle of 3+9=12=3. 5 is also the Middle of the Middle.

The group (1,2,4,5,7,8 ) is called the Ring Z/9 in Mathematics. Z/9 is isomorphic with the Sequence 2**N mod 9 where N is positive and negative. The sequence 1,2,4,8,16(7),32(5),64(1),128 (2),256 (4),… repeats itself until infinity.

This Sequence is the Expansion and Compression Pattern of the Number 2.

The Ring Z/9 is part of the Tetraktys and forms a Hexagram. This Hexagram is a 2D-projection of the Cube of Space. When we combine the (3,6,9)-pattern with the Hexagon a (4×4) Triangle is created.

The number 2 is the Container, the Cube, inside the Tetraktys. That is the Reason why the Second letter in the Hebrew Alphabet Beth means Vessel or Container.

(3,6,9) is a Triangular Cycle that repeats itself until Infinity.  The Number 3, the Trinity, is the Mover of the Container of 2. This Rotation moves With and Against the Clock.

This is the reason why the 3th Letter of the Hebrew Alphabet, Gimel, means Camel. The Camel of Gimel carries the Water into the  2 Containers of Beth.

The Number-2-pattern contains 3 Binary Groups (called Polar Pairs) with a Sum of Nine (1,8), (2,7), (4,5). The Number-3-Pattern contains 2 Polar Pairs (3,6) and (0,9). The Polar Pairs represent the Lines of the Tetraktys.

(0,9) maps unto Itself and represents The Beginning and The End, The Now. (0,9) is a Point and a Line.

The Polar Pairs of the Z/9 create a Cyclic Pattern that contains two Squares, (1,2,4,0) and (5,7,8,0). Both of them Share the Zero, The Void.

The Sum of the Opposite Numbers of the Z/9, (4,8 = 12=3), (1,5 =6 ), (2,7=9) of the Tetraktys shows the 3,6,9-pattern again.

There are 8 Ternary Groups ((1,5,9), (1,6,8), (2,6,7), (2,5,8),(2,4,9),(3,4,8),(3,5,7),(4,5,6)) with a Sum of 15. This Ternary Group represents Triangels. All of them are part of the famous Lo Shu 3×3 Magic Square.

The 3 Triangles of (1,4,7), (2,5,8) and (3,6,9) copied from the linked Website.

When we use the number 3 as a generator 3 Triangles are created (1,4,7), (2,5,8) and (3,6,9).

The 3 Triangles move With and Against the Clock ((1,4,7) and (7,4,1)).

It takes 3 rotations to get every Triangle back to its original position. (1,4,7) becomes (7,1,4) and (4,7,1). This means that there are 6 permutations of every Triangle.

Every addition of two Triangels produces another Triangle.   An Example:  (1,4,7) + (2,5,8) = (3,9,6).

When we create a Matrix to find all the combinations a new group of 9 transformations ((1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6),(7,7,7),(8,8,8),(9,9,9)) appears. They are the Triangels that are a Line and a Point. An Example:  (1,4,7) + (1,1,1)=(2,5,8).

There are now (18 +9=27) x27 = 729=3**6 = 9**3 possibilities.

The same 27×27 Matrix appears when we Multiply the 3 Triangels. An Example:  (5,8,2)x(5,8,2)= (25,64,4)= (7,1,4) and (3,6,9)x(5,8,2)=(15,48,18)= (6,3,9).

Another interesting patterns  becomes visible when we look at the Opposite Numbers of 3 Triangels (1,5), (2,6), (3,7),(4,9) en (5,9) in the Picture above.  They recreate the Triangels. An Example: (5+9=5, 2+6=8 ,8+3=11=2).

About the Digital Root of the Golden Mean

The 27×27 Matrix pattern also emerges out of 24 repeating numbers (1 1 2 3 5 8 4 3 7 1 8 9 8 8 7 6 4 1 5 6 2 8 1 9) of the Digital Root of the Fibonacci Sequence (The Golden Ratio).

this solution gives the densest
lattice packing of spheres in 24 dimensio

When we group the Golden Ratio pattern in 2’s (2×12) the Polar Pairs appear. The 12 pattern has  a Sum of 108 = 0 Modulus 9. 108 and 24 are related to the Gayatri Mantra.

1 1 2 3 5 8 4 3 7 1 8 9

8 8 7 6 4 1 5 6 2 8 1 9

When we  group the pattern of 24 numbers (3×8) of the Golden Ration into Trinities the Triangle Pattern appears again.

1   2  3  4                  -3 -2 -1 -4 (Pattern-number)

1   1  2  3  (7)           5   8   4   3   (2)

7   1  8  9  (7)          8   8   7   6   (2)

4   1  5  6  (7)          2   8   1    9   (2)

The Pattern of the Pattern is (1,2,3,4,-3,-2,-1,-4). The last part of the Pattern (-3,-2,-1,-4) can be transformed into the first part (1,2,3,4) by adding 4.

The Digital Sum of the first 3×4 numbers is 7 and the Digital Sum of the last 3×4 numbers is 2.

When we rearange the 24 cycle in 6 groups of 4 digits another pattern shows itself: (1,4,8,5), (1,3,8,6), (2,7,2,7),(3,1,6,8), (5,8,4,1), (8,9,1,9).

The pattern of the Golden Mean copied from the Linked Website

When we combine all the different rotations of the 3 Triangels a Cyclic Flow Pattern appears that looks like the Jitterbug of  Buckminster Fuller.

The Jitterbug is a 3D projection of the 4D 24-Cell (again 24!) also called the Hyperdiamond.

The 24-cell is self-dual and is the regular polytope with no analogue among the five Platonic solids of 3-space.

The 24-cell also called the Hyperdiamond

About the Vedic Square

One of the Simple Structures of Numbers that contains a lot of patterns is the Vedic Square. The Vedic Square was called the Eight Mansions in China. The Vedic Square is the Digital Root of the Multiplication Table of the numbers 1 to 9.

The Multiplication Table is a subset of the 27×27 Matrix of the 3 Triangels.

The Multiplication Table contains the Harmonics of the Numbers 1 to 9.The Vedic Square was used to build the Pyramids, create the Chinese I Ching, the Game of Chess, Dante Alighieri used it to structure his trilogy La Divina Commedia, the Sistine Chapel was build and the frescoes and symbols were arranged according to its concepts and the first chapter of Genesis was written and imbued with its numerous concepts graphic images.

File:Michelino DanteAndHisPoem.jpg
La Divina Comedia of Dante with the Tower of Babel on the background. This Ziggurat is a Geometric Structure highly related to the Vedic Square.

Scholars and Artists discovered that the various lines of the Vedic Square could be used to direct a design. By selecting a line of numbers, and using a constant angle of rotation, various designs could be produced. These designs are visible in abstract Islamic Art.

The Vedic Square is a Symmetrical Structure because AxB=BxA. This is called the Associative Property of Multiplication.  The Square is a combination of Two Triangels and contains 45 distinctive numbers.

The Vedic Square repeats itself until infinity when you extend the Square to a NxN Square.

The number pattern of the diagonal of the Vedic Square, 1,4,9,7,7,9,4,1,9,  is the Digital Root Pattern of the Square Roots. This patterns repeats itself until Infinity.

The Vedic Square contains the 5 Polar Pairs, the 8 Lo Shu Ternary Groups and the 3 Trinity Patterns ((1,4,7), (2,5,8), (3,6,9). It also contains the Star of David, The Zodiac, the Tree of Life and many other Mystic Patterns.

It is possible to transform the Vedic Square to the Lo Shu Magic Square.

The patterns of the Vedic Square Rotate. The End of a Horizontal and a Vertical Pattern connects with the Beginning of the Pattern. This means that the Vedic Square is a Torus.

This Torus is called the Rodin Torus. The Rodin Torus is a Coil that produces a Uniform Electro-Magnetic Field.

The 3-6-9 and 6-3-9 Cycle in the Vedic Square can be thought of as Clockwise and Counter-Clockwise, or as Electricity and Magnetism. They are transport-channels.

The ((3,6,9),(6,3,9)-Matrix divides the Vedic Square in 9 2×2 Squares.

The 9 2×2 Squares have a Sum of 9,18 and 27 which is 1×9,2×9 and 3×9. If we leave out the (3,6,9)-Matrix and divide by 9,  a 3×3 matrix results with 1,2,3 on the Outside  and a Cross of 2’s in the middle. This 3×3 matrix shows the Expansion of the 2 into the (1,2,3).

Patterns in the Vedic Square

The Rows and Colums of Ring Z/9 add up to 45. The Rows and Colums of the Number 3-Pattern add up to 54 which is a Mirror of 45. The (4,5)-pattern generates the Star of David and the Zodiac.

About Indian Vastu Science

The Game of Chess originated in India. It was passed on to the medieval West through the intermediary of the Persians and the Arabs.

The form of the Chess-Board corresponds to the Vastu-Mandala, the 9×9  diagram which also constitutes the basic lay-out of a temple or a city.

Hindu mythology has it that Vaastu Purusha was born of Lord Shiva’s sweat when he fought the deadly demon Andhakasura.

Vaastu Purusha himself became uncontrollable and destructive and the heavenly gods finally subjugated him and brought him down on earth with face down, with his face in the Northeast and his feet in the Southwest.

45 deities stayed there, 32 of them in the outer enclosure and 13 of them in the inner enclosure holding him in place at various points or locations on his body.

32 =64/2 and the Number of the 32 Paths of Wisdom of the oldest book of Hebrew Mysticms the Sepher Yesirah (the Book of Formation or Book of Creation, ספר יצירה).

64 is the Number of the I Tjing. 45 (5×9) is the Sum of the Lo Shu Magic Square and the Number of the Vedic Square.

All these Mystic Structures come from the same Source and are different Views on the same Pattern, the Tetraktys, the Triangular Numbers created by the Meru Prastara or Sri Yantra also known as the Pascal Triangle.

The Vastu Jain Symbol is a version of the Tetraktys

The Vastu Mandala is an expansion of  a Point (the Bindu) into the Line(2), The Trinity (3) and the Rotating (With the Clock and Against the Clock) and Expanding Square (4), represented by the Symbol of the Swastika. The Swastika is a Fractal Generating Pattern.

Every Point is a generator from which the Swastika-pattern generates a new Swastika. The 2×2 Square is transformed by the Swastika Pattern into the 4×4 and the 8×8 Square.

As you can see the Vastu Jain Symbol is an Indian Version of the Tetraktys of Pythagoras.

The Swastika contains the Four Points of the last line of the Tetraktys that are related to the Tethahedron.

About the Game of Chess

The Chess-Board symbolizes the Unfolding of Space by the Number-2-pattern and it synthesizes the Complementary Cycles of Sun and Moon.

The number 64, the sum of the Black & White (Yin/Yang) Squares on the Chess-board, is a divisor of the number 25920 (25920/64=405, 25920/9= 2880/9=320/5=72), which measures the Precession of the Equinoxes.

The Polar Pairs in the Modulo 9 Pattern are expressions of the Planets.

(1,8), the Castles, relates to the Planet Mars.

(2,7), the Bishops, relates to the Planet Venus. Venus is the Ruler of the Heart and the (2,7) is situated in the Middle of the Vedic Square.

When viewed from the Earth, the Planet Venus inscribes a near perfect five-pointed star (pentagram) around the sun every eight years. The points of a five-pointed star (pentagram) touch the circle of a pentacle every 72 degrees.  Likewise, many in Islam expect 72 virgins in heaven.

A full 360 degrees of procession takes 25,920 years, which is also seventy-two (72) 360-year cycles.

(3,6), the Knights relates to the Planet of the Messenger, Mercury. Mercury is Hermes, the Messenger God, with winged sandals. The moves of the Knights create a pattern that looks like the Swastika.

The (3,6)-number-lines are Transport-Channels (Gimel) as you can see in the Vedic Square and the Rodin Torus. The planet Mercury traces a Hexagram during its movement around the Zodiac.

(0,9) is the Planet Jupiter,  the Ruler of Modulus 9 who determinates the Rules of the Game. (0,9) is the Beginning and the End of the Game and is the cause of the Rotation of the Swastika related to the (3,6.9)-pattern.

The numbers 4 and 5 are the Moon (Queen) and the Sun (King). The Moon moves the quickest of all the planets, so does the Queen on the chessboard.

The Number 5 of the King is the Center of the 3×3 Lo Shu Magic Square and the Center of the Tetraktys.

The 8 Pawns represent  the number 2 and are connected to the Planet Saturn, the 2nd Son of the Central Sun and the Trinity (1+ 2 = 3). The Pawns start to move with 2 steps and later move 1 step. The 2 is the Center (The Son of the Sun) of the Trinity.

The 2 is also the Generator of the Expansion Pattern and the Polar Companion of the 7, the Center of the 3D-version of the Square, the Cube of Space.

The Pawn (2, Saturn) promotes into a Queen (Moon, 2×2) when he has reached the Other Side.

LINKS

About the Multiplication Table of 9

About the Tetraktys

About the Trinity

About the Vedic Square

About the Tetraktys and the Lo Shu

About the Lo Shu

About the Harmonics of the Universe

About the Hyperdiamond

About the Void

About Harmonics and Entrainment

About Good and Bad Vibrations

About the number 24

About the Jitterbug of Buckminster Fuller

A Simulation of the Jitterbug Pattern (CUBIC WONDER)

About the Game of Chess

About Plato and the Sri Yantra

About the Rodin Torus

About Vastu Science

About Gematria

About Vastu Science and the Borobudur

About Mystical Number Theory and Pascal’s Triangle

The first part of this Blog is about the Triangular numbers, related to the Number 3, the Holy Trinity.

The second part shows that Pascal’s Triangle (called Meru’s Mountain in Mystics), the Binomial Expansion,  contains every Possible Mystical Number Pattern (including the Triangular Numbers) you can Imagine.

Pascal Triangle also shows that our Universe is a combinatorial miracle. It explores every possibility, is always in balance, expands and moves back to the beginning which is and was the Void, the Empty Set, the merge of Every Paradox, that is Possible.

About Mystical Number-Patterns

The Sēpher Yəṣîrâh (Book of Formation or Book of Creation, ספר יצירה) is the oldest book on Jewish Mysticism. The Sefer Yetzirah describes how the universe was created by the “God of Israel” through 32 Wondrous Ways of Wisdom.

The Number 32 is the Sum of the 10 Sephirot and the 22 Letters of the Hebrew Alphabet.

The Sephirot is related to the  Tetraktys of Pythagoras. The Tetraktys embodies the Four main Greek Cyclical (PlatonicMusical Harmonies: the Fourth (4:3), the Ffth (3:2), the Octave (2:1) and the Double Octave (1:4).

1+2+3+4 = 10. 10 is the 4th Triangular Number. The Nth triangular number is the Sum of the numbers 1 -> N. This Sum is equal to 1/2N(N+1).

Between the 10 Sephirot run 22 Channels or Paths which connect them.

The Sephirot are the Points of the Tetraktys. The Hebrew Letters are the Lines between the Points. The Lines of the  Sephirot and the Tetraktys create a Cube (6) at the Top and a Tetrahedron (4) at the Bottom.

The Letters of the Hebrew  Alphabet are divided in the 3 Mother Letters (אמש, the Trinity), the Seven Doubles (The Planets) and the Twelve Simples (the Zodiac).

The 22 letters of the Hebrew Alphabet are a combination of the Trinity, the 7 Planets and 12 Signs of the Zodiac.

When you analyse the Sepher Yeshirah the Cube of Space (the Kaaba) appears out of the Hebrew Alphabet. The Kaaba is related to the Seventh Planet, Saturn.

The 3 Axis of the Cube of Space are the Trinity, the 6 (2×3) Faces of the Cube stand for the Planets with the 7th Saturn, the Son of the Central Sun (3+1 (Center)+3) in the Center and the 12 (4×3) Boundary Lines of the Cube represent the 12 Signs of the Zodiac.

As you can see the Number Three, the Triangle,  plays an important role. It is the First Structure that is Closed in Itself and is therefore Topological related to the Circle. The Circle (and the Triangle) is able to rotate With and Against the Clock. This property is called Spin in Physics.

It is very important to realize that Everything Rotates in our Universe around a Central Object that rotates around another Central Object. The Central Object Gives Time, determinates the Rythm or Harmonics,  of the Rotation Structure.

The Trinity rotates around the Void. The 7 Chakra’s of the Human rotate around the 4th Chakra, the Heart Chakra, ((3+(1)+3)=7).

The Planets rotate around the Sun and the Sun rotates around the Central Black Hole. The arrow of Sagitarius points to this Black Hole.

On a Six Sided Dice the Sum of all the Numbers is Seven (1+6,2+5,3+4). The Sum of the Six Numbers is 3 X 7 = 21. If we add the Center (Saturn) the Number 22 appears.

22/7 is a good approximation of the number π. π relates the Square (and the Cube) to the Circle.

The Cube of Space symbolizes  the Playing Board of the Game of Life. On the Playing Board we have a Free Choice to move into the many Paths that are available. Every Path has its own Probability and this Probability can be calculated. If we don’t know what to do we could throw a Dice.

The Cube of Space contains the same six lines that exist in the I Ching. Four of the lines are of equal length, the other two, the diagonals, are longer. For this reason symmetry cannot be statically produced and the Dance (of Shiva) results.

The Circle represents the Cycles of Time of the Matrix of the Demiurg. Behind all the Probabilities of all the Possible Paths lies a Hidden Order.

A Hexagram, represented by the Star of David,  is a Two-Dimensional (Orthographic) projection of a Cube. A Symmetric Projection of the Cube creates a Cross.

A Hexagram is a Two Dimensional Cube

One of the many meanings of the first word in the Bible “Bereshit“,  is “They (Elohim) created Six” which means that in Six Stages of  the Time Cycle the Cube of Space (or the Hexagram) was populated. On the Seventh Day the Center was filled.

The book of Genesis does not describe the creation of the Trinity (They, Elohim, 1+2+3, 1x2x3) itself. This stage was later covered in the Zohar.

In my blog “About the Sum of Things” it is shown that Six Stages are part of an Expansion Pattern governed by the Powers of Two. After 2**6 (64) Expansions (or Compressions) the Same Fractal Pattern repeats itself on a higher level.

64 is the Number of the I Tjing and the Game of Chess. The number 32 of the Sepher Yeshirah is 64/2 and is a Contraction of the I Tjing.

The I Tjing is a contraction of the oldest Divination System in the Word called FA. FA is still used all over the world by the followers of the oldest wisdom-system created by the YOrubA in Africa. The Yoruba lived at the place where the ancient Paradise was situated.

Star of David in The Israeli Art Genesis-2
The Fourth Day (Sun (4), Moon (5))

About the Triangular Numbers

The Tetraktys contains the Numbers 1, 3, 6 and 10. These numbers are called Triangular Numbers.

The number 21 is also a Triangular Number because it is the Sum of  the Sixth Level of the Tetraktys,  the Numbers 1 to 6.

The Fifth Level of the Tetractys is related to the Number 15 (1+2+3+4+5). This number connects the Tetractys and the Sephirot to the 3×3 Lo Shu Magic Square also called the Seal of Saturn.

The nth Triangle number T(n) is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n.  T(n)=n(n+1)/2.

The Triangular Numbers contain the Perfect Numbers. A perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. Six (1+2+3=1x2x3) is the first Perfect Number and 28 (1+2+4+7+14) is the next.

The Sum of two Triangular Numbers is a Square

The Sum of two adjacent Triangular Numbers T(n) +  T(n+1) is a Square Number because Two Triangels can be combined in a Square. 1+3=2**2 and 3+6=3**2.

There are many relationships between the Triangular Numbers. These relationships were the focus of the research of the Mystical Group of the Mathematikoi of Pythagoras.

6 (Bereshit, the Cube, the Hexagram) + the 22 Letters of the Hebrew Alphabet = 28, the Next Perfect Number (1+2+3+4+5+6+7).

28 is like the numbers 6 and 15 also a Hexagonal Number. As you can see in the picture below 28 is the fourth Hexagonal Number. As we have seen before a Hexagon is a Projection of a Cube so 28 represents a Cube in a Cube in a Cube. A Cube in a Cube is called a Tessarect or a HyperCube.

The Number 15 is a Cube in a Cube called a Tessarect or a HyperCube

The first sentence in Genesis (“In the beginning Elohim created Heaven and Eearth“) contains 7 words and 28 letters. This indicates that the Creation Process was already in the 7th stage of the Tetraktys and in its 2nd Fractal Expansion,  the Birth of the Material Universe.

The sum of the entire verse is the 73rd Triangular Number. The prime Numbers 37 and 73 are geometrically related. They form the third and the fourth term in the sequence of Star Numbers (1, 13, 37, 73, 121).

Hexagon/Star pairs are closely related to Triangular numbers. Their product is always a Triangle, and they can be symmetrically generated from a Pair of Triangles.

Star Numbers are a Combination of Two Triangular Numbers

The Square is a combination of two Triangels. It is represented by the Of Star of David, the Symbol of the Heart Chakra.
The Symbol of the Heart Chakra contains Two Triangles.

About Pascal’s Triangle

When a number represents a Geometric Structure it is called a Figurative Number.

Every possible figurative number is generated by the Triangle of Pascal.

The Fractal Sierpinsky Triangle is the Triangle of Pascal Modulo 2.

The Triangle of Pascal was known long before Pascal (re)discovered it.

It was known in Ancient India as the Meru Prastara and in China as  the Yang Hui.  Meru Prastara relates the triangel to a Mystical Mountain called Mount Meru. Mount Meru is also implemented in the Sri Yantra.

The Triangle shows the Coefficients of the Function F(X,Y))= (X+Y)**n. If n=0 F(X,Y)=1 and if n=1 F(X,Y)=X+Y so the Coeffcients are (1,1).

Pascals Triangle is a 2-Dimensional System based on the Polynomal (X+Y)**N. It is always possible to generalize this structure to Higher Dimensional Levels. 3 Variables ((X+Y+X)**N) generate The Pascal Pyramid and n variables (X+Y+Z+….)**N  generate The Pascal Simplex.

The rows of the Pascal’s Triangle add up to the power of 2 of the row. So the sum of row 0 is 2**0 and  the sum of row 1 is 2**1 =2.

The Sum of the  rows of the higher n-dimensional versions of the Triangle is n**N where n is the Amount of Variables and N the level of expansion. So the Sum of Pascal’s Pyramid (3 variables X,Y,Z) is 3**N.

Triangle of Pascal

The most interesting property of the Triangle is visible in the Diagonals.

The First Diagonal contains only 1’s. The Ones represent Unique Objects. They are the Points in the Tetraktys.

The Second Diagonal contains the natural numbers. These Numbers are used to Count Objects that are The Same. The Natural Numbers are the Lines that connect the Points. The Natural Numbers are the Sum of the previous Ones.

The Third Diagonal contains the triangular numbers. The Triangular Numbers are the Sum of the previous Natural Numbers.

This pattern repeats itself all the time.

File:Yanghui triangle.gif
The Yang Hui is an ancient Chinese version of the Triangle of Pascal. This Triangle contains Nine (3×3) Levels.

The Fourth Diagonal contains the tetrahedral numbers (Pyramid Numbers) and the Fifth Diagonal, the pentatope numbers.

Fermat stated that Every Positive Integer is a Sum of at most three Triangular numbers, four Square numbers, five Pentagonal numbers, and n n-polygonal numbers.

The Tetrahedron with basic length 4 (summing up to 20) can be looked at as the 3-Dimensional analogue of the Tetraktys.

File:Pyramid of 35 spheres animation.gif
A Tetrahedral Number represents a 3D-version of the Tetraktys.

The Diagonals of the Triangle of Pascal contain every Possible 2-Dimensional Figurative Number (and Structure).

These Numbers are Projections of Higher Dimensional Numbers and Higher Dimensional Structures.

The Higher Dimensional Versions of the Triangle (the Pascal Pyramid, The Pascal Simplex) contain these structures.

The Rows of the Triangle Sum to the Powers of Two (2 Dimensions). These Powers control the Levels of Expansion.

Every 7th step the Fractal Pattern of the Triangle repeats itself on a higher Level.

The Figurative Numbers are the Geometric Shapes that are created by the Lines of the Natural Numbers that are connecting the Points of the One.

Pascal’s Triangle also contains the numbers of the Fibonacci Sequence (“The Golden Spiral“).

When we take the Modulo 9 (the Digital Root of Pythagoras) of the Numbers of Fibonacci a repeating patterns of 24 steps shows itself that can be represented by a Star Tetrahedron or Stella Octangula. The Star Tetrahedron is a Three Dimensional Star of David.

The StarTetrahedron, shows the Pattern behind the Sequence of Fibonacci.

Every Figurative Number N is the Sum of the Figurative Numbers N-1.  Every Geometric Shape is a combination of all the Previous Geometric Shapes.

This means that Every Geometric Shape is in the end The Sum of the Sum of the Sum of  …. Triangels, Trinities (Elohim) or Triangular Numbers and therefore an Extension of the Tetractys of Pythagoras.

The Expansion of the Whole is a (Fractal)  Combination of Combinations.

The Triangle of Pascal is related to the so called Binomial Theorem which is used in Combinatorics and Probability Theory to describe the Amount of Combinations of a Set of  Objects.

The rows of the Triangle of Pascal also shows the Bell Shaped Pattern of the Normal Distribution.

The Probability Distribution of the Triangle of Pascal converges to the Normal Distribution because of the Central Limit Theorem. Every Row has a Mean of N/2 and a Variance of (N**1/2)/2 which means that with every new row the Mean and the Variance become Bigger and Bigger.

The Triangle of Pascal and therefore the Figurative Numbers describe Everything that is Possible but every Expansion of the Triangle is less Likely to Occur.

The Triangle of Pascal Modulo 3
The Triangle of Pascal Mod 3 represents the Tetraktys in the Tetraktys in the …..

Because of the Fractal Expansion/Contraction Pattern The Cube of  Space, related to the Element Earth,  explains Everything there is to Know on Our Level of Existence, Mother Earth.

The interesting part of the Figurative Numbers is that they representent Visual Patterns with which we can Reason.

We don’t need complex formulas because we can See what is Possible.

The interesting part of the Triangle of Pascal is that we can See that the Complex Figurative Structures are created out of a very Simple Structure, the Triangle.

If we want to understand our Reality we have to begin with looking at the Beginning and not start somewhere in the Middle.

If we look at the Fractal Expansion Pattern of the Triangle we See that Every new Stage is an Expansion Out of the Middle.

The Expansion of the Human, the Next Step in our Evolution,  is therefore an Expansion Out of the Heart, the Balance of Father Sky and Mother Earth.

Life is not only about Me and the Other.

Life is also about the Relationship between Me and the Other.

If we don’t Collaborate the Next stage in our Evolution will never happen.

LINKS

The Content of the Sepher Yesirah

About the Sepher Yesirah

About the Cube of Space

About the Tetractys

About the Cube of Space and Psychology

About the Sepher Yesirah and the I Tjing

A correspondence table of the Cube of Space

About Bereshit

About Genesis

About Patterns in the Bible

About Saturn

About the Trinity

About the Sri Yantra and Plato

About the Lo Shu and the I Tjing

All kind of strange relationships between Triangular Numbers

A website about Mystical Number Theory

About the Figurative Numbers

About Combining the Combinations

About the Golden Spiral and Plato

About the Logic of Creation

About Pascal’s Triangle and the Normal Distribution

A complete course in elementary Number Theory

About the Psychology of the Cube of Space

About the Tetraktys and the Zodiac

About the Process Theory of Paul Young

About the Theory of Dewey B. Larsson

Mysteries of the Equilateral Triangle

About Visual Patterns in Number Theory

About Pascal’s Triangle and Cell Division

Combining the Combinations

steam_engine

Evolution means the creation of larger and larger islands of order at the expense of even greater seas of disorder in the world. In the process of evolution, each succeeding species is more complex and thus better equipped as a transformer of available energy.: Jeremy Rifkin, Entropy: A New World View (1980).

You wouldn’t enjoy a perfectly ordered universe. A wholly ordered universe would be at perfect equilibrium and would be dead. There can arise no Order unless there is a Flow of Matter and Energy which decreases in intensity as a system moves toward equilibrium. Motion, change or evolution in the Universe is driven by fluxes of energy and energy-rich matter flowing from sources of high potential to sinks of lower potential.

During the road from Being to Becoming Cyclic Auto-Catalytic Systems are created that Re-Create themselves until they Die. Islands of Order Appear and Disappear in the Sea of Chaos.

About Thermodynamics

Thermodynamics is the Science of the Transfer of Energy.

In strict Scientific terms Energy is classified into two main forms: Kinetic and Potential energy. Kinetic Energy is defined as the energy of a moving object. Potential Energy is defined as the energy in matter due to its position or the arrangement of its parts. The various forms of Potential Energy include gravitational potential energy, elastic potential energy, chemical potential energy, and electrical potential energy.

The First Law of Thermodynamics says that the total quantity of Energy in the universe remains Constant.

The Second Law of Thermodynamics states that the quality of this energy is degraded irreversibly. The Second Law predicts that our Universe will end when the Explosive Motion of the Big Bang wil stop and we will reach the Absolute Zero.

Nicolas Léonard Sadi Carnot (1790-1832) detected the Second Law of Thermodynamics when he tried to find the most efficient heating engine.

According to Carnot the Efficiency of an Engine is (T1T2)⁄T1, where T1 is the highest temparature. The Higher the Difference between the two Temperatures of the Engine the Lower the Efficiency. The Bigger the Step the Higher the Waste. If you want to build a highly efficient Engine, the Engine has to make very Small Steps when the Engine is heated.  This principle is known as Adiabatic Expansion (and Compression).

Physical, Chemical, and Electrical energy can be completely changed into Heat. But the Reverse (heat into physical energy, for example) cannot be accomplished without a loss. The irreversible increase of this nondisposable, useless, energy in the universe is measured by the abstract dimension  called Entropy (from the Greek entrope, change).

The Entropy measures the degree to which the probability of the system is spread out over different possible states. If all the possible States of the System are the Same, the System is in Equilibrium and the Entropy, the State of Order,  is on its Maximum.

In the Beginning of the Universe Every Thing was Different. In the End State Every Part of the Universe will be the Same.

About the History of Innovation

The central actor in the 19th century model of cultural innovation is the Artist, conceived, as an individual creator of works of art. Art is produced only by a handful of exceptional individuals.

The process of technical innovation in the 19th century was seen in terms similar. The central focus was on the work of individual inventors and researchers, commonly with little or no specifically scientific training.

By the early 20th century, this model was displaced by an industrialized process of innovation.

The first major step in this process was the rise of the Research University and the development of a large class of technically trained workers. In the 20th century, pure scientific research had become the preserve of universities and specialist research institutes.

The second major step was the development of corporate forms of business organization, which allowed Research and Development to become an organized business activity, operated on industrial lines.

The pattern of innovation in the 21st century is radically different. In most sectors of the economy, the rate of technological progress has slowed down substantially. Technological progress is characterised largely by Incremental Improvements to mature products.

In Computing and Telecommunications, the rate of progress has accelerated dramatically since the late 1980. The convergence of Computing and Telecommunications in the Internet has fundamentally transformed every activity it has touched. Everything that can be formalized will be formalized.

The Internet makes it possible that disjunct Networks of Isolated Innovators connect and share their Knowledge and Experience.

The Artist,  now connected with many other “exceptional individuals” all over the world,  is on its return.

About Incremental and Disruptive Industrial Innovation

There are two types of Industrial Innovation called “incremental”  and disruptive” innovation.

Japan (and now China) has made incremental improvement the cornerstone of  Technical Advancement. After months and years of gradual (adiabatic) changes, products look radically different, as happened with semiconductors, solar cells and batteries.

The US claims that it is the Champion of Disruptive Innovation.  Their “Internet”-entrepeneurs like Amazon, Google and Facebook believe in a “Statistical” model of Innovation, A Portfolio or an Innovation Ecology.

One of the many “Trials and Errors” will result in a big breakthrough that will Disrupt the Market. Behind Disruptive Innovation lies the Concept of Evolution, Survival of the Fittest, the Essence of Capitalism.

Disruptive Innovation uses Incremental Innovation to improve the Parts of the Portfolio.

Incremental Innovation (“Proces/Product/Business Model Improvement”) takes place  when an Innovation is improved until the Limits are reached.

Incremental Innovation could use the Efficient Small Steps of the Adiabatic Process to reach the Goal of the highly Effective.

Most of the time Proces/Product Improvement (“Standardization”) is not a Structured Process because People believe Innovation is about “Thinking Out of the Box”. If People “Think out of the Box” the proces will move into a Chaotic State and will Die.

Creative Incremental Innovation will produce a Lot of Waste (“Heat”, “Fuzz”) and accomplish Nothing. Managed Incremental Innovation has to remove the Waste and the Constraints.

With every step that is taken the System has to become more probable so the results of the proces will be more predictable. When the Limits are reached, we have to Restucture the System to move on.

The Second Law of Thermodynamics shows that Closed Systems finally Converge to a State of Equillibrium with a High Probability, a High Entropy.

Systems that are Isolated by a Boundary behave as Closed Systems. Systems that are Open to other Systems Merge and become Closed.

Most of the Time people don’t understand the Boundary of their System and Act in a Shared Boundary. In this Shared Boundary Competition takes place. Competition is a waste of Energy. If People could define their Boundaries they could Cooperate.

People Communicate. They  Share their Ideas, Problems and Solutions.  When a Process is well understood the Improvements of the Process are disseminated through the Human Networks and widely Copied.

Human Networks are Closed Systems that are connected to other Networks by Boundary Spanners.

Most people don’t understand that there are other people in other Networks who are doing the Same thing they are doing. They think their activity is Unique and don’t understand that the State of Uniqueness was only there at the Beginning.

Secrecy slows down communication between the People in the Network. The result of Secrecy is that People are unable to learn from others so they are unable to reuse the solutions of others. Secrecy is again a Waste of Time.

In the end the Competitive Advantage of the Innovation is completely gone and the Entropy of the System is at its Maximum.

At that moment every Process in every Part of the System will be the Same and the Companies will Merge or will be taken over by other Companies. Winner Takes All.

The Temperature of the Industry will move to Zero and every Movement (and Innovation) will stop.

About Creativity

There are two Views on Creativity. Creativity is a Combinatorical Game and Creativity is a Spontaneous Eruption of Ideas forced by High Pressure.

At such a moment, “the Aha-Erlebnis“, two or more Frames of Reference Fuse and a new Innovative Combination is created.

The last view has a lot to do with the theory of “Self-Organized Criticallity“.

The Metaphor of this Theory is the Disaster, the Avalanche or the Sand Pile that Suddenly moves when the critical grain of sand falls. At that moment a Significant Part of the Collection of individual grains Combines and moves on its own.

When a System is reaching the Boundaries of Proces Improvement and a Huge Pressure to Innovate is experienced,  two or more Systems (“Frames of Reference”) Fuse (Combine).

When the Systems are in Equilibrium the Fusion is easy (“Connecting”) otherwise the Fusion could become a Disaster, a Disruption, a Creative Destruction and a Huge Amount of Heat (Waste) is produced.

About Managed Creativity

If Innovation  is a Combinatorial Game we have to restructure a System into a “loosely-coupled”  System of Components and combine the Components with the “well-articulated” Components of other Systems.

A Loosely Coupled System is a System where each of its components has, or makes use of, little or no knowledge of the definitions of other separate components. The components act as Black-Boxes“.

A Component is “well-articulated” if it contains Just Enough Functionality to do the job. An Under-Articulated system is Rigid. It contains Not Enough functionality to Adapt to the Changing environment. When Systems grow old they become Over-Articulated because the Designers want to add new functionality without looking at the Boundaries of the System. Over-Articulated Systems overlap and it becomes very difficult to find the Essence. Designers always want to Solve every problem with their Own System.

Genrich S. Altshuller was a Russian Patent Officer who tried to find a Pattern behind Patents.

Altshuller screened over 200,000 patents looking for Inventive problems and how they were solved. Of these only 40,000 (20%) had somewhat Inventive solutions; the rest were straight forward improvements.

Altshuller defined an Inventive problem as one in which the solution causes another problem, a Contra-Diction or Conflict,  to appear. He found that the same problems had been solved over and over again using one of only Forty fundamental inventive principles. Altshuller  named his method  TRIZ.

Humans are prone to reivent the Wheel many times because they only look for Solutions in their own Frame of Reference. The Solution of their Problem is almost all the time already available in another Domain.

Roni Horowitz has analyzed the Principles of Althuller and found a deeper structure behind TRIZ which he called ASIT.

ASIT is about Thinking Inside the Box instead of Outside the Box. The so called Closed World condition, forces the thinker to find a creative solution by heavily limiting his or hers Space of Possibilities.

The Qualitative Change Principle looks for solutions in which the influence of the main problem factor is either totally eliminated or even reversed. The System has to become Perfect. Every Component has to fullfill just one Task  (“Well Articulated”) and the Functions of the System have to create a “Closed World” which means that the System has to be Closed in Itself.

About Combining the Combinations

The Second Law of Thermodynamics shows that it is Almost Impossible to move back to an old solution when the Solution is widely used.

Nature Solves its Problems by Experimenting but the Experiments are not completely at Random. Nature uses an Established Infrastructure and Plays with all the Possible Paths that Emerge out of the Existing Infrastructure, The Adjacent Possible.

Before life emerged on Earth, the planet was dominated by a handful of basic molecules. Each of these molecules was capable of a finite series of transformations and exchanges with other molecules in the primordial soup.

According to Stuart Kauffman Life  started when the Chemical Parts of early life  started to Re-Create themselves in a Cyclic Process  called AutoCatalysis. Re-Creation of the Same Structure is one of the most important principles of a Living System. Our body is recreated all the time in an endless Cycle until we Die.

If you could Play with all the Primordial Combinations, you would end up with the Components of Life but it is impossible to create a mosquito, or a sunflower, or a human brain.They were created when the Combinations started to Combine Again and Again.

Innovation in Nature is an endless Cyclic Expanding proces of Combining the Combinations.

This process moves on until the Limits of the Expanding Space of Possibilities are reached. These Limits are reached when there is not enough “useful” Energy available.

Combining the Combination happens in Nature but also in our Culture. Old infrastructures are used in a new way and a complete new field of Combinatorics appears.

Johannes Gutenberg took the older technology of the screw press, designed originally for making wine, and reconfigured it with metal type to invent the printing press which made it possible that new ideas, concepts and procedures were better dissiminated through the Human Networks.

Is there an End to Human Innovation?

The Universe is Expanding and is Creating New Combinations of Combinations all the Time.

The Law of Kleiber shows that the Combinations of the Combinations Fuse. The Law of Kleiber is just like Self-Organized Criticallity represented by a Power-Law. Power-Laws are independent of a Scale and therefore applicable on every Level of the Universe. They show that One Principle (“a Fractal“) Repeats itself on every Level.

Every time when the Combinations Fuse they are better equipped as a Transformer of Available Energy but the Creation of larger and larger islands of Order happens at the Expense of even greater seas of Disorder. Humanity is Wasting resources at an increasing rate, and that will lead to the destruction of our civilization.

The Combinations become Bigger and Bigger AND the Big Structures Attract Each Other. The larger group of possibilities will always be the Dominant Attractor.

This is the main reason for the success of Google, Facebook and Twitter. They have aquired the Power to Control their Market by Giving away their Products for Free so the Amount of Users would grow Exponentionally. They make money by letting other companies pay for the Use of their Huge Attractor.

The Small Auto-Katalytic Chemical Factories, the Bacteria,  that were created in the beginning are now fusing into Very Big Cities and the next Step will be One Mega-City covering a Huge Area of the Earth.  These Mega-Cities will be extremely Efficient and Effective. When this happens Nature will be replaced by a Human Made Technological Structure that has to use completely new ways to produce and use energy.

The next Step is easy to imagine. The Human Race will start to create new Mega-Cities on other Planets that will fuse into Mega-Planets.

The Big Problem will of course be Energy. We have to find new Sources all the time to support the Human Need to Expand and Discover. Every time when we create a new and Bigger Source of Energy the Amount of useless Heat will increase and the End of the Universe will get closer and closer.

Human Invention is Speeding Up the End because in the End Humans want to become One with the Whole.

According to the Second Law of Thermodynamics the Universe is moving to an Equilibrium State and not to an Extremely Impossible Innovative Configuration. At a Certain Point of Time Human Innovation has to Stop because we will reach the State of Absolute Zero Temperature and every Movement will Stop.

In the End the Universe will move into a State of Infinite Sleep.

What to Do?

The most important thing you can do when you want to Innovate is to create a Deep Understanding of just One Frame of Reference.

You have to become an Expert in Something and you have to have the attitude to create the Perfect Frame of Reference.

Every time when the System is not performing you have to solve the problem Inside the Box but you have to make use of Solutions that are Outside the Box.

Every Time when you are Satisfied,  remove a Constraint and Force Yourself to Solve the problem.

At a Certain Moment your Frame of Reference will Explode and will produce many Fragments. They are the Basic Building Blocks of Your Domain.

Start to Play with the Building Blocks and new Possibilities will appear that you have never Thought off.

You now have entered the Adjacent Possible.

LINKS

Why Neural Networks look like the Universe

About Creativity and High Pressure

About Self-Organized Criticallity

About Self-Organized Criticallity and Innovation

About Complexity Theory and Innovation

About Loosely Coupled Systems

About Boundaries

About Triz

Stuart Kaufmann about Radical Emergence

Advanced Systematic Inventive
Thinking

About ASIT (Advanced Systematic Inventive Thinking)

How Nature Plays

About Constructal Law

About the Origin of Good Ideas

About the Adjecent Possible

About the Law of Kleiber

Why Cities are Organisms

About the Beginning of the Universe

About  the End of the Universe

A City is an Organism

The System of Life is growing in size and in complexity, and so do the infrastructures sustaining it.

In 2008 the point was reached where more than 50% of the world population lives in cities. That percentage is growing. By 2030, over 60% of the world’s population – nearly five billion people – will be living in urban area.

The System of Life is generating Super Organisms and the City is one of them.

Urbanization is only a relatively recent phenomenon. As far as we now know urbanization started in Mesopotamia around 4000 – 3500 BC.

For the Ancient Mesopotamians, the cities were the centers of life. Their beginning of time was not a Garden of Eden, but rather an ancient site called Eridu, which they believed was the first city ever to be created.  The creator of Eridu was Enki, the God who came out of the Deep Waters of the Ocean  (the Abzu). The city of Eridu was destroyed by the Great Flood in 3117 BC.

Every time one of the Rulers of a City took control over many Cities and a State was created with a new Center, the Capital. In the Center of the Capital the Palace of the Ruler was situated. What we see is an Expanding Pattern in which the same Structure repeats itself all the Time.

Initially the two life-essential resources for cities were Water and Food.

As Cities grew and as technology evolved, the supply of these resources became dependent on energy for processing, for pumps and for transportation. In the process, cities and their resources evolved into a system of life energized by the individuals that populate cities, and fuel its dynamics.

mexico-city
Mexico-City

Kleiber's law
Kleiber's law

About the Law of Kleiber

The Law of Kleiber shows that Bottum-Up Structures are more efficient than Top-Down Structures.

It also shows that Big Structures are more efficient than Small Structures. The Law is applicable from the level of the Bacteria to the Level of the City and higher.

These two statements are a contradiction until we realize that there are two ways of looking at the same structure. One view is the Top-Down View. The other is the Bottom Up View. When we look Down we see a huge Hierarchy and start to believe that Big is Beautiful.

When we look Up we see that all the work is done by Small Cooperative Components starting at the Bottom with the Bacteria.

The Law of Kleiber is explained by the fact that all the organisms (including the Cities) contain the Same Fractal Structure.

Bacteria exchange their DNA
Bacteria exchange their DNA

About DNA

In the Beginning the Chemical Soup generated Self-Reproducing Chemical Factories. These Factories combined into bigger Factories by exchanging and combining their Factory-Designs (DNA-parts).

Every time when the Factories fused they became more Efficient, Bigger, Stronger, Older and therefore more Competitive. When the Factories became more Competitive they started to Protect themselves against the other Factories.

To Protect themselves the Multi-Cellular Systems began to Sense in Many Directions and became better and better in Predicting the Future.

One of our Ancient Ancestors is the Sponge which is a static Cluster of Bacteria. Scientist have detected that the DNA of the Sponge has a lot in common with the Human DNA. The Sponge contains the Basic Fractal Structure, the Tube.

In a later stage our Ancestors developed something we call a Brain. The Brain is used to Sense the Now and Predict the Future.

The Human is a Moving Sponge who is able to Imagine. With his Imagination the Human is capable to Change the Future (and the Past).

Sponge
The Sponge, the Tube, is the Basic Structure

One of the Bilateria: The Octopus
The Octopus is a Sponge with a Brain.

About Innovation

The Law of Kleiber can be explained by the principle of Self-Reference (Similarity,  Fractals).

The Small Structures at the Bottum combine into comparable structures on a higher level.

What we don’t see is that the structures on every level can be decomposed in the Same (DNA-)Components with a different Scale and a different Name.

Innovation is nothing but a  Combination of  the Components in many different ways until all the combinations are made.

At that moment One of the Combinations becomes the new DNA and a new Level is explored.

Life explores every possible path.

About Cities

A City is a Combination of Houses.

A City protects a Cluster of Houses. A House protects a Cluster of Humans and a Human protects a Cluster of Organs.

All the way down to the Bacteria,  Cooperative Clusters are formed that give the participants a more Secure Way to Live.

A House is a Body. It supports the Body but it also contains all the Bodily Functions.

If we provide the House with these Bodily Functions the House becomes more Sustainable. It is possible to regenerate the Waste that the Humans produce into Energy just as the Liver is doing in our Body.

If we Cluster the Bodily Houses into a City and we provide the City with the same functions of the Body we are able to create structures that are independent of the input of external Top-Down Sources of Energy and Food.

If we are able to detect the DNA of the House and the DNA of the City we are able to Compose new Types of Houses and Cities that are Adaptable, Scalable,  highly Sustainable and are also in Balance with Nature.

It will also be  much more easy to Destroy or Move buildings and cities to another Place without the production of Waste.

looking-to-toledo1
Toledo (Spain)

About Synchronization

In the Miedeval City the Major Cycle was the Cycle of the Seasons. In the Modern City we have become almost independent of the Cycles. We import Food and Energy out of every place in the World.

It takes a Lot of Energy to transport the Food and Energy and Many Places on Earth are dependent on a small amount of other Places that contain the Sources of our always increasing Need to Survive the Effects of our Environment.

When a lot of People (The Slaves) are dependent on a small amount of people (The Masters), the Masters start to dominate the others and increase their Power until Eternity. Power is the most important Addiction of the Humans.

The problem becomes bigger when we realize that many people are producing Food and Energy but are themselves not able to use the Food and the Energy they are producing.

The independence of the Cycles has created a huge unbalance. This unbalance is not only visible in the City but in every place on Earth that is providing Energy and Food to sustain the Modern City.

The only solution to this problem is to create self-sustaining (autarkic) Cities that are able to supply their own food, water  and energy.

Paris
The kernels of Paris

When we want to restore Balance we have to Synchronize the Cycles in the City.  This can be done with the help of Smart Technology (Sensors, Actuators, Analytics) but we can also make use of very old fashioned techniques that were used in the Middle Ages.

When Humans communicate from the Heart and focus on the same subject, the Humans start to Synchronize. They become a  Group.

The most important structure in the Miedeval City to Synchronize its inhabitants was the Building of the Heart, the Church.   The Church was always situated in the Center and was visible from a long distance. The Church was also the only place where people were always Protected.

The Human Heart is doing the same thing as the Church is doing in the City. It connects the Mind with the Organs of  the Body and the Pericardium provides one of the major Rythms of the Human Body.

If we want to Synchronize the City we have to create a Center where People are able to Commun(e)nicate about the Shared Goals of the City. The most important way to share can be found in the Human Culture. The Centres have to contain all the ways Human Culture is performed.

chartres4
The Spiraling Spiral in the Memory Palace of Chartres, the Symbol of the Fractal Universe

About the Memory Palace

Art, Music and Singing were United in the Medieval Cathedrals. The Medieval Cathedrals also contained all the Knowledge (The Memory Palace)  that was needed to understand the Universe.

If we want to Synchronize the Modern City we have to build Modern Cathedrals in the Center of the Center and use them as Places to Commune, to Educate, to Make Music, to Dance and to Sing.

We have to design them as Modern Memory Palaces (Simulators) to teach the Masses about the Fractal Universe and give them Feedback about the State of their own Environment.

sagrada-familia-barcelona-projection
The Sagrada Familia in Barcelona (Antoni Gaudi)

LINKS

This is a  presentation about The City as an Organism

Why the Tube is such an Important Structure

About The Law of Kleiber

Why Innovation is a Combination of Combinations

An Interview with Geoffrey West of the Santa Fe Institute about the Law of Kleiber

About Thermo-Economics

About the Autarkic City

About Cybernetics

About Synchronization

How Gaudi used a Machine to design the Sagrada Familia

About Machines that generate Architectures

How the Heart Synchronizes the Body

About Super Organisms

About Smart Technology

About Addiction

About the Master/Slave-relationship

About the Heart

Why the Cathedral contained all the Knowledge that was Needed

About the start of Civilization

About Entrainment

In 1665 the Dutch physicist Christiaan Huygens noticed that two pendulum clocks in his room tended to Swing in Sync. The same happens with fireflies, cardiac pacemaker cells,  menstrual cycles, birds in flight, walking, dancing, circadian rhythms in animals, quantum gravity theory, dialogues and people in a crowd.

Two connected Systems always Entrain because Every System in our Universe Vibrates and is connected.

birds in sync

When the Parts are  connected, the Rhythm of the Whole controls the Rhythm of the Parts.

The transformations of the seperate parts takes place in two steps. In the first step the variance of the frequencies of the parts is reduced but the oscillators remain incoherent, each running near its natural frequency, until a certain threshold is crossed. Then the oscillators begin to synchronize spontaneously. The effect is somewhat like the outbreak of synchronous applause after a magnificent concert.

To make the transformation possible the Parts have to adjust their behavior. They have to move with the Rhythm of the Flow of the Central Clock. At the end of the transformation from isolated Parts to the Whole the Parts are the Same. They are Copying each other.

When people are copying other people they lose their identity and move into a trance-state. The same effect can be accomplished with hypnosis.  When people are in a trance-state it is easy to manipulate them.

About Copying

Humans are Copiers. When we look at the Science of Coupled Oscillators it becomes clear that Copying is not an intentional act. People and other Systems are more or less forced to copy others when the frequencies of their systems are within a certain bandwith.

When people are close and are focused on a shared target (a soccer match, a concert, a conversation, a dance, a common goal) the human parts start to synchronize and become a Crowd, an entity that starts to act on its own.

About Communication

The word “communion” means “becoming a union“. All communication arises through Synchronization. All communications are dances that coordinate the rhythmic processes shared among the engaging systems.

Communication is not a transmission of information, but rather a coordination of behavior among living organisms through Mutual Structural Coupling. Just like the Crowd, a communication, starts to live a life of its own, when the exchange of the vibrations of the conversation starts to synchronize. This happens within seconds.

conversation1

In the 1960’s, William Condon of Boston University School of Medicine pioneered the empirical study of communication as coupling. In the microanalysis of a few seconds of film he was astonished to find how the voice and bodily movements of speaker and listener were coordinated within intervals as short as 20 milliseconds.

Condon introduced the term entrainment to describe the coupled behavior. He noted that: “Communication is thus like a dance, with everyone engaged in intricate and shared movements across many subtle dimensions, yet all strangely oblivious that they are doing so“.

Coupling begins with getting the attention of other organisms, or more accurately, with distracting the organisms from other engagements so they are able to discern and respond to this engagement.

When the Oscillations of two Systems are outside a certain bandwith it looks like the most powerful system takes over control. The frequency of the synchronized system is a mean and when big numbers and small numbers are added the small numbers simply disappear. This situation is called an Overload.

Overloads are able to kill small systems because the small system is unable to cope with the huge pertuberations. People with a Dominant Personality are able to force (to entrain) Dependent people to copy their behavior.

About Synchronization

A System of N coupled different oscillators creates a very complex almost unsolvable mathematical problem. In 1975 Charles Peskin formulated the conjecture  that Systems would eventually synchronize even when the parts are not identical. In 1990 the conjecture has been proven by Strogatz and Mirollo.

Systems of Coupled Oscillators show four states called Phase Locking (Synchronization), Phase Drift (“Chaos“)  and Amplitude Death (“Order“). In the last state the oscillations stop completely.  The fourth state called a Chimera is a combination of a synchronized and a drifting state.

The most important issue to notice is the fact that the state of Amplitude Death is what we call Order. It is an exceptional state that can be reached when the exchange of information between the states is “compensating” the vibrations of the states or when the System is “compressed” into a Singularity.

synchronization

Most Systems are oscillating (“Cyclic“) and are in a Phase Drift (“Chaos“) or a Chimera trying to reach some sort of Synchronicity with the other connected Systems. In Nature every System is connected to every other System because of the Electro-Magnetic (and Sound) Fields they share.

Systems of Coupled Oscillators behave differently when the connections between the parts are delayed. It this case highly identical parts start to behave as not identical parts. When a delay occurs the stable rhythm of the heart can suddenly stop, resulting in a sudden death.

About the Circadian Clock

In order to cope with and to predict 24-hour rhythms in the environment, such as light and darkness, temperature or the availability of food, most, if not all, organisms have Circadian (“Daily“) Timing Systems. These systems generate circadian rhythms in a wide range of behavioral and physiological processes.

For most animal species, a main circadian pacemaker has been identified in an anatomically defined location in or close to the brain. During the last years, however, it has become clear that circadian systems are complex and that additional oscillators exist, both within and outside the central nervous system.

The Peripheral Circadian Clocks are situated in the Heart, the Liver, the Lungs and the Kidney. These organs are the same “organs” that are used in Chinese Acupuncture which is not strange because the Aim of Acupuncture is to Balance the Electro Magnetic Field in the Body.

For a correct functioning of the circadian timing system, these oscillators should be synchronized to one another and properly phased to the environmental cycle.

Synchronization between the oscillators occurs via interactions or coupling pathways, whereas the light-dark cycle is used for synchronization to the outside world.

The most important mammalian circadian pacemaker is located in the suprachiasmatic nuclei (SCN) at the base of the hypothalamus in the brain.

From the suprachiasmatic nucleus, nerve impulses travel via the sympathetic nervous system to the pineal gland and inhibit the production of melatonin. At night, these impulses stop and melatonin production ensues and is released into the body.

In fish, amphibians, reptiles, and birds, the pineal gland appears to be directly sensitive to small amounts of light that penetrate the skin and skull.

In mammals, with increased development of the cerebral hemispheres, the pineal body came to lie deeper within the brain and indirect stimulation of the pineal gland by light via the retina came to be more important. The Suprachiasmatic Nuclei are connected to the Outer Eye and the Inner Eye, the Pineal Gland.

The Pineal Gland is called the 6th Chakra, the Third Eye (or the Eye of Horus), the Seat of the Imagination.  The Imagination, the Central Clock of our Body, is “in control” of all the other Clocks in our Body.

With the Help of our Imagination we are able to Cure and to Kill the Body.

pineal

About the Pineal Gland

The Earth is a huge magnetic sphere. The E/M field of the Earth varies in strength and consistency through the ages. Our bodies own magnetic frequencies and our bio-field patterns react to this variance of the Earth’s field.

The pineal gland is the principal structure in the brain that is directly sensitive to the Earth’s magnetic field. The Pineal Gland Senses the Field.  To sense the Field the Pineal Gland contains small calcite crystals.

Our bone structure Converts Vibrational Energy into Magnetic and Electric Energy. When the bone is bent it produces an E/M-field. This E/M-field interacts with the Pineal Gland and creates a Feed-Back Cycle.

The E/M-field of our Body, the Aura, is a combination of all kind of waves. A special type of wave-structure is called a Standing Wave.

When the E/M-field acts as a Standing Wave all the waves are in harmony and conserve structure. The Human body is in harmony when the total field of all the separate E/M-fields of the Body act as a Standing Wave.

The Standing Wave appears when the Spinal Wave of the Vertebrae of the Body is in a special Alignment.  If this happens the Standing Wave of the Spine Resonates with the Standing Wave of the Earth. At that moment the Kundalini Rises and the Pineal Gland reacts with a Huge Mystical Experience.

About the Heart

The heart beats about once a second throughout your life. These regular contractions pump blood to the Upper (Head) and the Lower part of the body and are driven by electrical impulses from a natural pacemaker inside the heart.

This pacemaker, known as the sino-atrial node, responds to signals from the Central Circadian Clock situated in the Hypothalamus that changes the heart rate according to the body’s needs (“the action potential“), making it slower when resting and faster during exercise.The rhythmic contractions of the heart are triggered by waves of electrical activity that spread from the sino-atrial node throughout the heart muscle.

There are small fluctuations in the time intervals between beats that are fractal in nature, and a loss in this variability is a sign of cardiac ill health. However, a cardiac arrhythmia, in which the rhythm of electrical waves that drive the heart is broken, can be lethal.

A loss in the synchronized rhythm of the heart causes different parts of the atrial or ventricular muscle to contract at different times, undermining the pumping action of the heart. An arrhythmia therefore leads to the mechanical failure of the heart.

The propagation of excitations in heart tissue can be described in terms of travelling waves with a velocity of about 0.5 m s-1 and an amplitude given by the action potential. Since the action potential lasts for several hundreds of milliseconds, a single wave extends over a distance of about 10 cm. This means that a normal human heart is hardly large enough to contain a single wave.

In the heart the wave propagates around a circular obstacle. The wave repeatedly travels along the same path at a frequency given by the wave velocity divided by the circumference of the obstacle.

If the radius is gradually decreased, the frequency increases until the wavefront of a new wave catches up with the tail of the previous wave. If the radius is made even smaller, the wave is forced to adopt a spiral shape that continues to rotate around a central core. Spiral  Waves have been observed in numerous chemical and physical experiments.

The Wave Structure of the Heart resembles the Wave Structure of the Universe. This could be the reason why the Heart plays such  an important role in many Religions.

When the Wave Structure of the Heart is coherent with the Wave Structure of the Whole, the Rhythm of your Life is in Sync with the Rhythm of the Universe.

The Pacemaker Cells are called the Heart Chakra, the 4th Chakra. The Heart Chakra acts as the Balance Point for all the Chakras.

The Balancing Point is the Middle of two Triangels related to  the Head and the Body that rotate With- and Counter-the-Clock creating a Moebius Ring.  The Pineal Gland, the Central Clock, is part of the Upper Triangel of the Mind.

Spiral Waves in the Heart
Chemical Spiral Waves

About Cymatics

In 1967, the late Hans Jenny, a Swiss doctor, artist, and researcher, published the book Cymatics,  The Structure and Dynamics of Waves and Vibrations. In this book Jenny showed what happens when one takes various materials like sand, spores, iron filings, water, and viscous substances, and places them on vibrating metal plates and membranes.

What then appears are shapes and motion- patterns which vary from the nearly perfectly ordered and stationary to those that are turbulently developing, organic, and constantly in motion.

When Jenny experimented with Fluids of various kinds he produced Wave motions, Spirals, and wave-like patterns in Continuous Circulation.

These patterns are the same patterns that are produced by Coupled Oscillators. This is not strange because Sound Waves are highly comparable to Electro Magnetic Waves.

With the help of simple tools it is possible to Simulate the Creation and Expansion of the Universe.

We don’t need very complicated tools to observe the Whole. The Whole shows its patterns everywhere, even in your bathtub.

The Whirpool Galaxy

About the Creation of the Universe

In beginning the Void, the Zero Point Field,  rotated in Silence until a Huge Action Potential disturbed its Eternal Rest.

The Void was in a state of Amplitude Death until a Statistical Fluctuation, an Act of Creation, moved the System into a Chimera and later a Phase Drift.

Out of the Phase Drift Two Coupled Oscillators (Yin & Yang) appeared that moved With- and Against the Clock creating a Spiral Motion, a Vortex.

The Two Coupled Oscillators were each others Complement because two Coupled Oscillators are always Complementary.

After a while the Phase Drift generated Four and More Oscillators and Space started to Expand.

The pattern of this Expansion is governed by the Metallic Mean, which generates Fluent or Quasi Crystals. Fluent Crystals are the basic structure of the Electro Magnetic System of the Human. Scientists believe that the basic structure of our Universe is a Fluent Crystal, a Hall of Mirrors.

Quasi Crystals

Space stops expanding when the Unbalance of the Energy of the Act of Creation is compensated by the amount of Oscillators (Strings) of Expanding Space.

At that moment the Universe will move into the State of Synchronization and all the Parts will move with the Rhythm of the Central Clock, the Tao.

When this happens the Universe starts to contract until Space has reached the Void.

In the last step the Oscillation will stop and the Void and Amplitude Death will appear again.

LINKS

How bacteria entrain

Steven Strogatz: About Coupled Oscillators and Biology

A lecture about Coupled Oscillators

A presentation about Coupled Oscillators

About Engagement

About Standing Waves

About Hypnosis

About the Electro Magnetic Field in the Body

About the Cardiac Pacemaker Cells

About Cymatics

About the Heart Chakra

About Stress and the Action Potential

About the Zero Point Field

About the Metallic Mean

About the Hall of Mirrors

About Good Vibrations

The Good (Creation) and the not-Good, the Bad (Destruction),  are two Waves that are moving in Opposite Directions. Together they create interference patterns called Standing Waves.

Standing Waves are Waves that preserve their Form and can be perceived as Material Particles.

If the Good is a Wave Moving with the Clock, the Bad is a Wave Moving Against the Clock.

I believe the Good is moving with the Clock because the words “Right” and “Wrong” were associated with the Right Hand and the Left Hand and the concept “moving” (wringen in Dutch).

In Magic the Left Hand Path is associated with Black Magic and in many cultures the Left is associated with Evil.

In China the Rotation with the Clock is called the Generating Cycle and the Rotation Against the Clock the Destructing Cycle.

The Standing Waves of Matter contain the Bad and the Good in a certain proportion. Therefore every part of Nature (including the Humans) contains a piece of the Bad and a piece of the Good. That’ s why it is rather difficult to make a distinction between both of them.

There is nothing either good or bad, but thinking makes it so”  (Hamlet Act 2, scene 2, 239–251)

Doppler_div
A Moving Standing Wave

proton10
Two Moving Standing Waves Interfere and produce a Magnetic Field

About the Svara

The idea that our Universe is a Wave goes back a very long time. In Ancient Indian Philosophy the Wave of the Universe was called the Svara, the Wave of Life.

It is the manifestation of the impression on matter of the Power Which Knows Itself (Atman). The Atman arises out of the Emptyness (Brahman). The Emptyness is a Mystery. It is impossible to Reason about it.

The Svara consists of Five Types of Waves called Tattvas. They represent distinctive Forms and Vibratory Motions and are the five modifications of the Great Breath, Prana, of  the Atman. Prana is called Chi in China.

The first Wave that came out of the Atman is called the Âkâsha (Spirit, Egg, Black). After this came  the Vâyu (Air, the Circle, Blue), the Tejas (Fire, the Triangle, Red), the Apas (Water, the Crescent of the Moon, Silver) and the Prithivi (Earth, the Square, Yellow).

The Svara has two different States,  the Bright Sun-Breath  and the Dark Moon-Breath. In the first state the Svara expands, away from the Void. In the second state it contracts and moves back to the beginning.
At a certain moment we will experience the spectacular Twist of the Svara. This is the moment when Time will move back and the Apas (Aquarius, Water) will dominate the Fire (Bull) of the Tejas.
The Âkâsha and the other Four States of the Svara are the States of what Western Scientists call the Aether, the Carrier of the Standing Waves of the Universe.

The Five Tattvas
The Five Tattvas

About the Aether

Until the experiments of Michelson and Morley in 1887 every Physicist believed in the existence of the Aether. Everybody was very surprised when the experiments showed that the Aether was moving with a constant speed, the Speed of Light, in both directions of measurement.

Nobody questioned the experiments so a completely new theory had to be created to explain the strange behavior of Light. This new theory was the Relativity Theory of Albert Einstein.

The situation became even stranger when Niels Bohr (and others) invented Quantum Mechanics and showed that Light could be interpreted as a particle, a Photon, and a Wave.

At that time almost nobody understood the Concept of the Standing Wave. A Standing Wave is a Wave that preserves its Form and therefore shows itself as a Particle.

It is now proved that Michelson and Morley made a fatal mistake. The Unification of the Theories of Einstein and Bohr is going on but two foundations of the Theory of Einstein, the non-existence of the Aether and the Constant speed of Light, are gone.

The concept of the Aether, the Svara,  is back and new theories of the Universe based on Standing Waves are produced and verified. These theories are much simpler than the old theories.

What is the Same?

The Ethical Law of Resonance states that “The Same attracts the Same and Repels the Not-the Same“.  The Good  attracts the Good and the Bad attacts the Bad but the Good also repels the Bad and the Bad repels the Good.  If we are able to define the Same we are able to define the Good and the Bad.

When you want to find out if some Thing is the same as another Thing you have to define the concept of “the-sameness“.

Every thing is different from any other thing when you collect enough different data about both of them. When you ignore every detail every thing  is the same (A = A). When two objects are literally “the same” we call this relationship an equality (A=B).

The same objects can appear differently when we Look at them differently. In this case a “the sameness” (now called a congruency) appears when we are able to create the same object when we move (translate), rotate or reflect the other object.

congruent2
Two Congruent Triangels

To find an independent reference framework for an Observer who is “not moving” and a constant Speed of Light Einstein had to abstract from Translation, Rotation, Reflection and Movement (Speed and Acceleration). Einstein’s friend Minkowski solved his problem by creating a new type of “curved” space now called Minkowski Space.

The Ancient Scientists of India not only abstracted the Aether from the Eyes like Einstein did. They abstracted the Aether from the other Four Senses too.

Every Tattva represents another Sense Organ and a related Wave pattern. The interesting point is that the Waves of the Tattva of the Eyes, the Light Waves, the Tejas, behave, exactly the way the current scientists describe.

The current Scientists ignore the fact that Humans observe their Environment with their Five Senses. The ancient Scientists not only detected five types of Waves. They also found a way to combine the Five Wave-Types into one Wave Model.

In general Objects are “the same” when we are able to find a Structure Preserving, isomorphic, transformation (F) from Object A to Object B. F(A)=B and G(B)= A and FG=Identity. With the help of an Isomorphic Transformation you are able to map a structure A to another structure B  and move back to the same structure A.

Every Isomorphic transformation can be seen as a “specialized Organ“, that  “looks” at Reality in its own way.

The mathematical field of Topology is concerned with the “the sameness” of objects that are Expanded and Compressed. Topology represents the Organ of the Emotions. With this organ we are able to  research the effects of the Great Breath of the Prana.

Mug_and_Torus_morph
Transforming a Mug into a Torus

About the Great Breath

With the help of isomorphic  “topological” transformations it is possible to make the huge Diversity of Forms in our Universe the Same. It is even possible to compress every structure in our Universe into one structure, the structure of the Void.

In this case there are a few topological possibilities depending on the dimensions of space. In two dimensions we can choose out of the Point and the Circle, a Closed Line. In higher dimensions strange twisted structures appear such as the Moebius Ring and the Klein Bottle.

If the Universe is compressed into a Rotating Circle,  The One who is in the Centre always Returns on Itself.  The Universe is expanding and compressing until Eternity. At a certain time even after a huge expansion the Power of Creation is able to “Knows Itself”. This concept is called the Cyclic Universe.

If the Universe is compressed  into a point, called a singularity, we live in a “Big Bang-universe“, the standard cosmological model, which will expand into Eternity.

It will be clear that the structure in the beginning determinates the way the Waves of the Universe expand.

Twisted Topological Structures
Twisted Topological Structures that are Closed in Itself

If the Universe is Closed in Itself the Outbound Waves of the Beginning  will meet the Inbound Waves of the Utmost Boundary and will create Interference Patterns that look like Standing Waves.

When the Universe was small the Interference Patterns came up almost immediately. When the Universe expanded it took more time to Close the Loop.