About Autarky

J.Konstapel, Leiden,2-11-2012.

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.

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 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.

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.

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.

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.

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

About the City and the State

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

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 to an increasingly complex, widely dispersed, dynamic, multipotent, granular diversity.

Energy moves from Heat to Cold where Heat is Chaos and Cold is Order

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.

Movement

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.

Turbulence

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.

Balance

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.

Constructal Theory

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.

Flow Systems

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.

Turbulence is the result of connected vortexes.
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.”.

Resistance to Change

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.

Engines and Brakes

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.

Stream-lining

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).

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.

Resilience: Expanding and Contracting a String

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).

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.

Law of Kleiber

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).

From Classical Mechanics to Quantum Mechanics

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.

Triangle of Pascal

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.

Trinity

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

The Act of Creation

When we have moved back in time and have reached the state of the Trinity we are very close to the Big Bang.

The Vacuum is the Eternal Flow System of Creation. I

t 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.

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.

(Tao Te Ching 4)

The Sea of the Nothing

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 Thermodynamic

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

About Perspective and Projective Geometry

Introduction

From Painting -> Mathematics

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.

Movement = Space/Time:

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.

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.

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.

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.

the Four Points of the Cross-Ratio (CR)

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).

Duality

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.

Harmonic CR

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

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“.

1. Projective Geomtry

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.

2. Affine Geometry

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

Metric Geometry

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.

Euclidian /geometry

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.

In betweenness and EQuidistance

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.

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

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

A DEltapulse

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.

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 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.

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.

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.

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

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

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

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.

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.

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.

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.

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.

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.

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).

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 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 (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 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.

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.

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.

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

About Saturn, the Son of the Sun

Early astronomical traditions identify the “Primeval Sun” as the planet Saturn.

Saturn was identified with Osiris in Egypt and Shiva in India.  The Babylonians, the founders of Astronomy, called Saturn the “Light of Heaven, the Sun-God Shamash (or Šamaš).

Tacitus records the Jews as worshipping the planet Saturn, Shabbatai,  as their god. In Plato’s Timaeus, the word for the planet Saturn is Helios, the “Sun” god. Popular Greek traditions identified Saturn as Kronos (Father Time). At that time Saturn ruled “over the Pole“.

The Pole was seen as the Entrance to the Other World. The Shaman using his Light Body had to Climb Jacobs Ladder to get there.

In Sankrit, Suryaputrah,  “Son of the Sun”  is the name for the planet Saturn. The Medieval Alchemists called Saturn the “Best Sun”.

The Kabbalah divides the Universe  into Ten Spheres, or Sephiroth, which have Planetary and other Correspondences. The Sphere of Saturn is known as Binah (“Understanding“) and the terrestrial sphere, known as Malkuth, is said to have its foundation in Binah.

Long ago Saturn exercised the supreme power on Earth, his reign being remembered as the Golden Age, his time revered, a time which Man longed to return to. At this moment the Cycle is  ruled by Kali. The Mother Goddess Kali represents the Moon in Saturn.

Semitic civilizations referred to the god Saturn as “El”. El was the source of the Great Flood. El was represented by a Black Cube. The Kaaba (“the Cube of Space”) is a cube-shaped building in Mecca, Saudi Arabia, and is the most sacred site in Islam. The building predates Islam, and, according to Islamic tradition, the first building at the site was built by Abraham.

In Ancient History the World was ruled by the Female and  the Mother Goddess. The Vulva or the Yoni (Circle), of the Ancient Mother Goddess was always combined with a Black Stone (with a Point), the Symbol of the Phallus (Lingham) of the Male Creator. The God and the Godddess created the Universe in a short moment of Extreme Extacy.

The Pelgrims have to encircle the Black Stone of El Seven Times just like the Rings of Saturn encircle the Center.

About the Number Seven

The Blog “About the Sum of Things” is about the so called Seal of Saturn and the related 3×3 Magic Square of Saturn also called the Lo Shu in China.

Saturn is the Seventh Planet and Saturday (Sabbath) the Seventh Day of the Week.

In the Blog it is shown that the 3×3 Magic Square generates Two Cyclic Systems. One System, the Wheel of Karma  is a Fractal Torus and is related to the Expansion and Compression of the Universe and the number 2. The Fractal Torus contains Seven Levels associated with the Chakra’s, the Seven Heavens, The Seven Tones and the Seven Colors. The Tower of Bable and the Egyptian Pyramids are a Simulator of the Torus.

The other is a Cyclic Vortex System, the Cycle of Death, related to the number 3 and the Triangel.

The Number Seven is the Repeating Factor of the Torus System. After Seven Steps a new Fractal Level of the Expansion/Compression-Cycle is reached. On the Seventh Day a new Stage in the Creation Process of our Universe is started.

The Torus looks like a Yoni and as you can see the Lingham of Shiva is Inside the Torus. This is the reason why Saturn is associated with Binah and Shakti, the Female Part of Shiva. It also explains why Saturn is related to Fertility.

The Sequence of the Trinity (A-U-M) controls the Creation/Destruction-Cycle of our Universe.  This is the Cycle of Shiva, the Creator and Destructor.

Shiva and Shakti are the Circle (Torus, Yoni) and the Lingham (the Point, Singularity, Lingham). They are the 0 (or the 9) and the 1.

The only thing you need to Create our Universe is de Tao (0), the One, the Two and the Three and they will Generate Everything.

Why is Saturn the Son of the Sun?

There are two explanations. The first one is a Physical Explanation related to Plasma Physics. In the stage of the Golden Age our Solar System contained only Three Planets and Saturn was the Best Sun. Plasma Physics is able to explain many ancient Symbols.

The Second explanation goes back to the Numbers. The Magic Square of Saturn is the First Magic Square that can be constructed. 2×2 is not existent and 1×1 is a Point. The Magic Square of the Sun is the 6×6 Magic Square with Sum 666! and Constant 111. The 3×3 Square can be extracted (is a Son) out of the 6×6 Square.

Adam-Kadmon
The Demiurg with the Torus and the Zodiac

About  Kronos, Father Time

The Greek called Saturn Kronos, Father Time.

Most of the Souls are not aware of Cycling Cycle of the Fractal Torus of the Number Two of Duality,  the Wheel of Karma. They stay in the same Place and Their reincarnations are a Merry Go Round.

Some Souls move around the Torus and experience many experiences in the Seven Universus.

All of them are Kept in de Rotating Matrix of the Demiurg.

If you really want to be Free you have move out of Duality into the Cycle of the Divine Trinity (Shiva).

When you want to leave the Rotating Cycle (Torus) of everyday Life and move into a higher dimension (more possibilities, more perspectives), you have to Twist Yourself and Merge with Yourself.

You Twist when you Cross the Cycle of Life and Enter the Cycle of Death of the Trinity. When you join this Cycle you leave the Seven Heavens and move to the Void in the Middle of the Death Cycle.

The Void, the Kingdom,  Cleans every thing and makes every thing New.

You Merge with Yourself when you integrate the Inside and the Outside, the Up and the Down, the Male and the Female.

The Klein Bottle, The Universe Closed in Itself, the Basic Structure behind Alchemy.

“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; and when ye fashion eyes in place of an eye, and a hand in place of a hand, and a foot in place of a foot, and a likeness in place of a likeness; then will ye enter into the kingdom.” (Gospel of Thomas, Logion 22).

LINKS

About the Sum of Things

About the Cube of Space

About the Myth of Saturn

About the Mother Goddess

About the Dance of Shiva

About Saturn and the Sun

About the Seven Heavens

About the Great Flood

About the Golden Age of Saturn

About the Torus and the Vortex

About Time

About the Twisted Universe

About Alchemy

About the Polar Myth

About the Sum of Things

The Lo Shu is a Chinese Model for Time and was used to design Cities, Temples, Cycles and Calendars.

The Lo Shu is a 3×3 Magic Square created by Fu Xi, the Founder of Chinese Civilization. Fu Xi lived around the time of the Great Flood.

The Magic Square was carried by a Turtle. The Turtle is the symbol of the Constellation Orion. Many Ancient Cultures claim that our Ancestors came from this constellation. The Square of Lo Shu is also referred to as the Magic Square of Saturn or Chronos (Time).

According to Chinese Creation Myth  the world started with 無極 (wuji: nothingness), the Tao. Out of the Tao, the Egg of the Zero (0) and the Supreme Pure One (1) emerged. In the next step the Trinity (3), the Three Pure Ones, was created.

The Tao produced One; One produced Two; Two produced Three; Three produced All things (Lao Tsu, Tao Te Ching, 42).

The Trinity is represented by a Triangle. A combination of Two Triangels is a Square. The combination of Two (2) Triangels is also the Symbol of the Heart Chakra, the merge of Heaven, the Upper Triangel and Earth, the Lower Triangel.

The most complex Yantra (“machine”), the Sri Yantra, contains 43 Triangels. The Sri Yantra is determinated by the Bronze Mean. The Bronze Mean is a generalization of the Sequence of Fibonacci based on the Trinity. The Bronze Mean generates Quasi-Crystals and Penrose Tilings.

The Lo Shu Magic Square not only shows the Connection between the Four Forces that came out of the Two Forces, Expansion and Compression, it also shows the connection between Heaven and Earth.

In the Magic Square of Lu Shu the Even Numbers (2,4,6,8 = 2 x (1,2,3,4 = 2×2)) are Black(Yang, Male). The Odd Numbers (1,3,5,7,9 = 3×3) are White (Yin, Female). The Sum of all the Numbers is 15 (3×5).

The Even Numbers are situated at the Corners of the Square.

When the numbers of each row are multiplied (8x1x6; 3x5x7; 4x9x2) they together total to 225 ((3×5)x(3×5)) — as do those of the columns (8x3x4; 1x5x9; 6x7x2).

The Magic Square is dominated by two numbers (2**1, 2**2, 2**3)  and (3, 2×3, 3**2), It contains four Prime Numbers (1,3,5,7). It also contains the first Perfect Number 6 (1+2+3 =1x2x3). 6 is also a Harmonic Divisor Number and has a Harmonic Divisor 2. The Sixth Day in the week is the day of Saturn, the God of Time.

The sequence 1,2,4,8, 1, 3,6,9, 27 is called the Tetrad of the Pythagorians and was, according to Plato, used by the Demiurg, the Creator of our Universe, to create the Soul. The Soul is a mixture of the Same (1), the Different (2), and Existence (3). The Tetrad was used to define the Harmony of the Spheres.

When you connect the numbers of the Lo Shu a pattern appears that is called the Seal of Saturn or the Dance of Yu.

The Seal of Saturn or the Dance of Yu

The Sum of Magic Squares is a Magic Square and the product of a Magic Square M with a number a is again a Magic Square aM. Both Rules can be used to construct a Magic Square out of simple Binary Squares called Magic Carpets. One of these Magic Carpets is the Identity Matrix with One on the Diagonal.

Every Magic Square is related by Rotation and Mirroring to Eight other Magic Squares. This means that the central Lo Shu Magic Square with the Five in the Middle is related to Eight other Magic Squares with the other Numbers in the Middle. One of them contains the Nine and is called the Well.

the Well
The Well is an Expansion and Contraction Cycle based on Powers of 2.

The Nine is the most important Number in the Magic Square. The Nine comes back in many ancient mythologies like the Egyptian Pesedjet and the Greek Ennead.

When you add the separate numbers of a number (54 = 5+ 4 = 9) the result is the Remainder when you divide the number by 9.  This number is called the Modulo 9 number.

The Powers of 2 (= Expansion) Mod 9 creates a pattern (1,2,4,8,(16)7,(32)5,(64)1,(128)2,…). This pattern is reversed when we divide by 2 (=Compression) (1/2 (0,5 =5), 1/4 (0,25 = 7), 1/8 (0,125 =8), 1/16 (0,625 = 4), 2,1).

The Expansion and Compression Pattern shows that the same pattern repeats itself when the Magic Square is expanded or compressed Six (6) Times. The 7th Step is the Same as the First Step.

After 2**6=64 (8×8) divisons of the cell a Specialized Cell is created, the stem cell. The same happens in Music.  The Game of Chess (Chiu King in China) with its 8×8 = 64 = 2**6 Playing Board contains every possible situation of the Game of Life.

The Two-Pattern does not contain the numbers 3,6 and 9. The number 9 is repeated every time when the pattern is expanded and compressed which means that Nine is the same as the Identity, the One (1+9 = 1). 3 and 6 Oscillate (1x2x3=6 and 1+2+3 =6) and  therefore represent the Duality (3+6 = 9, = the One).

If we combine the Expansion and Compression patterns a Torus (a Rotating Circle, The Wheel of Time) appears. The Zero (the Void) is in the Center and Contains the Vortex. The Vortex represents another Cycle (Black/White Hole, 3,6,9, the Wheel of Order) in which every structure/pattern is destroyed to start All Over Again.

If we subtract the numbers in the Square by the number of the Center, 5, a highly Symmetric Pattern emerges. This pattern shows that there are Two Mirror Universes both containing four Forces.

When we transform this pattern from Modulus 9 to Modulus 3 (the Trinity) we see that the number 4 equals 1 and represents a new beginning of the Cycle.

4

9

2

  

-5

 

-1

4

-3

3

5

7

  

-5

 

-2

0

2

8

1

6

  

-5

 

3

-4

1

   

The Magic Square with the Zero in the Middle is surrounded by two Sequences of 123(4) with different Signs. The Signs are arranged in a Cyclic Pattern (- -, + -, + +, – +) that contains the Four Permutations of – and +. The Sum of the ++ and the — is -3 and +3, the Trinity. The Sum of +- en -+ is the One.

The Cyclic Pattern of + and – represents the Prisoners Dilemma that is solved by the Strategy of Tit for Tat. This strategy is applied by the Trickster, the God of Paradox, a concept of God in which God creates games that create games.

When you use the basic Addition and Multiplcation Rules of the Magic Square many important numbers and patterns  appear that are related to Ancient CalendersSymbols and Cycles.

About the Sum of Things

The Lo Shu Magic Square appeared a few years ago when I wanted to know more about Acupuncture.  Acupuncture is related to the Sheng Cycle and the Sheng Cycle is related to the Lo Shu. A Magic Square is the perfect way to visualize the Constraints that control the Four Forces in our Universe.

Soon after this discovery, I found out the Lo Shu is related to the Trinity and the Bronze Mean which is an abstraction of the Fibonacci Sequence. The Bronze Mean generates the Sri Yantra and so-called Quasi Crystals. Quasi Crystals explain Acupuncture.

A few weeks ago I started a discussion with Kim Veltman. Kim Veltman is the director of the Maastricht McLuhan Institute. He is researching Ancient Architecture and wrote a very interesting document called “Alphabets, Elements and Cosmologies”.

Ancient Alphabets are related to Numbers and Tones so Ancient Texts also represent Numerical Patterns and Music. You want be surprised to read that the Lo Shu showed itself in every Text Kim Veltman has analysed.

His document started a new inquiry into the pattern of the Lo Shu. During this research, I detected the book “the Sum of Things” by Paul Martyn-Smith. Paul Martin-Smith worked together with Lee Burton.

This blog contains just a little bit of the tremendous amount of information Paul Martin-Smith & Lee Burton have found about the essence of the I Tjing which is contained in just one simple 3×3 Magic Square.

If you want to know more the only thing you can do is to buy this book and start reading.

LINKS

About the Book “the Sum of Things” (Free Download)

About the I Tjing

The Calculations  behind the Number of Things

The Relationship between the Lo Shu and the I Tjing

About the Lo Shu Torus

About Saturn, the Son of the Sun

About the Trickster

How to construct Magic Squares out of Binary Squares (Magic Carpets)

The Sistine Chapel (Rome) and the Seal of Saturn

About the Relationship between the Lo Shu and Music

About the History of the Lo Shu

About the Wheel of Eternal Order and the Wheel of Time

About the Relationship between the Lo Shu and Chinese Alchemy

About the Great Flood

About the Orion Myth

About Plato, Pythagoras and the Lo Shu

About the Nothingness

About the Lo Shu Magic Square and the Chinese Domino Game

About the Mirror Universe

About the Prisoners Dilemma

About the Bronze Mean

About the Sheng Cycle

Everything You want to Know about Sacred Geometry

About the Influence of the Lo Shu on Recent Art

The Lo Shu Square with Imaginary Numbers

A City is an Organism

The surprising math of cities and corporations

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.

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.

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).

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.

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.

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.

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.

LINKS

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

About the Law of KLeiber

A power law relates one variable to another raised to a constant power. The general form takes y = xa, where y and x are variables, and a is a constant exponent.

A power law exhibits the property of scale invariance. When you multiply the Scale (x) with a factor b the function (y =  baxa) does not change its Shape.

In 1817 Goethe wrote his book ”Zur Morphologie“. This book was the start of a new science called Morphology, the Science of the Shapes.

In his book Goethe describes the so called Uhrplant, the Primal Plant, which is based on the shape of the Leaf. Goethe believed that every Plant was a Leaf within a Leaf within a Leaf.

At the time of Goethe the concept of the fractal was not known. It was developed in 1975 by Benois Mandelbrot (“The Fractal Geometry of Nature”).

A fractal is a self-similar structure. It’s shape repeats itself on every level of expansion.  Some fractals are scale-invariant.

Scale Invariance in the Leaf

About Kleiber’s Law

Metabolism is the process by which your body converts what you eat and drink into energy. During this complex biochemical process, calories in food and beverages are combined with oxygen to release the energy your body needs to function.

The oldest and best known Power Law is Kleiber’s law devised by the Swiss-American zoologist Max Kleiber in 1932.

Kleiber’s Law, MR = W3/4, describes the relationship of the metabolic rate (MR) to the biomass W, raised to an exponent.

Kleiber’s law means that a cat’s metabolic rate is not a hundred or 21.5 times greater than a mouse’s, but about 31.6 — 100 to the three-quarter power.

This relationship seems to hold across the animal kingdom  and it has since been extended all the way down to single-celled organisms, and possibly within the cells themselves to the internal structures called mitochondria, the cellular powerplants, that turn nutrients into energy. Mitochondria have many features in common with bacteria.

The law of Kleiber is  also applicable to super-organisms” like ant colonies, Cities and Eco-Systems.

Because of Economies of Scale, larger and more complex forms of organisms need less energy for each individual cell. They grow and reproduce more slowly and they live longer.

Kleiber's law

About Fractals and Kleiber’s Law

Kleiber’s law can be explained from a general model that describes how essentialmaterials are transported through Space-Filling Fractal Networks of Branching Tubes.

Goethe was right. The leaf is a one of the fundamental structures of Nature.

The factor 3/4 (3/3+1)  is a consequence of the fact that a Fractal Structure has to incorporate a not-Fractal Structure, 3-Dimensional Space.

One of the Bilateria: The Octopus

About Bilateria

About 590 million years ago, the Central Nervous System (CNS), the Brain, appeared.

The organisms with a CNS (including the Humans), the Bilateria, are able to Act and React to a Possible Harmful Stimulus.

The CNS of the Bilateria is  a result of  an Increase in Competition between the Life Forms that came out of the Continuing Fusion of  the Cooperative Life Forms, the Bacteria. The first step in this proces was the Tube of the Sponge.

The fundamental Bilaterian Body Shape is a Tube running from Mouth to Anus, and a second Tube called the Notochord, with an especially large Sphere at the front, called the “Brain“.

The Bilateria have Five Body Spheres (1) the Brain; (2) the Spinal Cord; (3) the Heart and Lungs; (4) the Digestive Organs and Kidneys; (5) the Bladder and Reproductive organs.

Lung

About the Tiny Spheres of the Lungs

When we look at the Lungs, one of the Fractal Tube-like branching-structures of the human organism, we can see that the Branches end in Nodes called the alveoli (“little cavities“). The end-nodes of the branching system are tiny Spheres.

Alveoli

In the tiny Spheres the Exchange takes place of Carbon Dioxide and Oxygen between the Lungs and the Blood-Vessels. Each human lung contains about 600 million alveoli.

Water diffuses from the alveoli cells into the alveoli so that they are constantly moist.  Oxygen dissolves in this water before diffusing through the cells into the blood.

The Oxygen-rich blood returns to the Heart via the pulmonary veins to be pumped back into circulation. The Carbon Dioxide is pumped out by the Lungs.

In the many million Small Spherical End-Nodes Two Circulatory Systems, the Cardiovascular System (Heart) and Pulmonary System (Lungs), are Connected.

The Big Structures of Nature are able to Scale because the Connection-Points of the Networks are Very Small.

They are reusable on Every Scale that is Bigger than the Scale of the Connection Points.

We will see that all the other Fractal Systems in our Body are based on the Same Principle.

Villi

About the Tube of the Digestive System

The Tube contains the Digestive System. It breaks-down larger food molecules into smaller ones that can be absorbed into the blood stream. This happens in the Small Intestine in the vili and microvilli.

The villi (“shaggy hair“)  are tiny, finger-like projections that are approximately 0.5-1mm in length. The microvilli are mechanosensors and have a lot in common with the flagellum (“the roter“) of a bacterium. Microvilli appear in many places in the body. They are also of importance on the cell surface of white blood cells, as they aid in the migration of white blood cells.

The Tube of our Digestive System is highly similar to the Tube of the Sponge, the first fusion of the Bacteria in a  more efficient metabolic structure.

The Output part of the Tube is called the Large Intestine (Colon). Its function is to absorb water from the remaining indigestible food matter, and then to pass Useless Waste Material from the body. The large intestine houses over 700 species of bacteria that perform a variety of functions.

Liver

About the Chemical Factory of the Liver Cell.

The Liver is  a Fractal Branching System that detoxifies harmful substances absorbed via the Small Intestines.  It’s basic structure is the Liver Cell.

The Chemical reactions in the liver cells produces a lot of waste heat. This is carried round the body in the blood and warms less active regions.

The Liver regulates the amount of Blood Sugar, Lipids, Amino Acids.  The Liver is the Storage House of  Blood, Iron, Vitamine A, D, B12  and Clycogen, the Source of Energy of the Body.

The Liver produces Bile that is stored in the Gall Bladder. Bile is used to dissolve fat.

White Blood Cell

About the Spleen and the Immune System

Another Fractal Branching System, the Lymphatic System ( “The Immune System“, Spleen),  maintains the health of the body by protecting it from invasions by harmful pathogens, such as bacteria, viruses, fungi, and parasites. These pathogens are the cause of many diseases, so it is necessary to detect and eliminate them rapidly.

The Lymphatic System is connected to the Blood System and produces the White Blood Cells (Lymphocites).  The Lymphocites are the Basic Unit of the Human Defense System. They look like Bacteria.

A lymphocite fits with a pathogen

The surface of a lymphocyte is covered with a large number of identical receptors. Recognition and destruction occurs when the receptors of the lymphocyte fit like a key into the surface of the pathogen.

The Immune System is a Highly Adaptive System. It is able to generate new types of Lymphocites out of a Library of DNA-components.

Nephron

About the Kidneys and the Bladder

The Kidneys serve the body as a natural filter of the blood, and remove wastes which are diverted to the urinary bladder. The Nephron is the basic structural and functional unit of the kidney. In humans, a normal kidney contains 800,000 to 1.5 million nephrons. Nephrons are wave-like structures. Its chief function is to regulate the concentration of water and soluble substances like sodium salts by filtering the blood.

About the Electro Magnetic System

The last  Fractal Branching System, the Meridians, is a Fast Electro-Magnetic Channel that connects to Organs to the Spine and the CNS.

The Ancient Chinese Scientists believed that this System pumps its Energy, the Chi Force, out of the Earth Magnetic Field.

The Ancient Egyptian Scientists believed the same thing. They named  the Four Cavities the Four Suns of Horus and the Spine, the Djed Pillar (Dj means “Snake”).

The Five Organs of Acupuncture

About the number Five

The number Five (4 +1 ) plays an important role in Ancient Chinese Medicine.

The Central Fractal System, the One (1), the Fire System, the Blood System, with its Center the Heart,  contains Four (4) Links to the Other Systems.

The Four Systems are combinations of Two Forces, Expansion and Compression.

The Two Forces came out of One Force (“The Void“).

Two Systems contain the same combination (Expansion x Expansion (Wood, Gall Bladder, Liver, Three Heater), Compression x Compression (Metal, Lungs)).

Two Systems combine Expansion and Compression in a different order (Expansion x Compression, Compression x Expansion). They create a Wave (Water, Bladder, Kidney) or Spiral -like (Earth, Immune System) structures.

The Five Spheres of the Body are incorporated in one Super Protective Sphere, the Coelum, the Skin.

In the Human Embryo the First step of Division of the Cells is between the Coelum,the Multi-Cellar Body, and the Brain, the CNS. In the first step the One was divided into the Two, the Actor and the Monitor.

The CNS  “mirrors” the activities of  the Body and acts as a “predictive simulator”.

The Shape of the CNS is a mirror (Up-Side-Down) of the Shape of the Multic-Cellular Body.

The Bilateria are a Fuse of two Organisms in which one organism changed into the Body and the other changed into the Brain.

These two structures are always competing in the Human Being.

The Brain is Looking Up at the Sky. The Body is Looking Down at Mother Earth, it’s Creator.

The Brain and the Body are United in  the Heart, the Balancer of Body and Soul and the Keeper of the Rhythm (The Pericardium).

Sponge

About Bacteria

The Body Shape of the Tube was inherited from the first Multi-Cellular Organism, the Sponge. The Sponge is a  Static Cluster of Amoeba, free moving bacteria, that are propelled by their flagellum (a Roter).

Bacterium

Bacteria are small chemical factories that are able to share and combine their production processes by exchanging DNA.

With their flagellum the Bacteria Explore the environment to find the chemical food they need. When they have found food the Circulation of the Flagellum moves into the Opposite Direction.

The bacterium integrates incoming chemical signals during a few-second period of its travels, and adjusts its direction of advance accordingly.

The integration is achieved through temporary chemical modifications to molecules located in the bounding membrane, which transfer nutrients to the cytoplasm, and also through changes to certain other molecules in the interior of the cell. Such integration is essentially a short-term memory mechanism.

Bacteria exchange their DNA

At a certain moment the Bacteria got together because the Sponge is a much more Efficient Metabolic Structure than a group of Free Moving Bacteria.

Strangely enough the DNA of the Sponge already contains the complete Bleuprint of the Humans.

Scientists now believe that most species on earth are a result of a loss of DNA from the original Bleuprint that was created when the Bacteria finally fused into one Organism.

About the Nano-Level

Recently scientists have found Electric Fields as strong as 15 million volts per meter in the Nano-Parts of the Cells. These fields are as strong as those produced in lightning bolts.

It’s not clear what causes these strong fields or what they might mean but they could account for a until now unknown (by Science) or well-known (by the Old Scientists, Chi) Source of  Bodily Energy.

The nano-parts of the Cell could be the very very very small universal building blocks of Nature.

What has Happened?

In the beginning the Chemical Soup generated Self-Reproducing Chemical Factories.

These Factories combined into bigger Factories by exchanging and combining their factory-designs.

Every time when the Factories fused they became more Efficient, Bigger, Stronger, Older and therefore more Competitive.

When the Factories became more competitive they had to Protect themselves against the other Factories.

To Protect themselves the Multi-Cellular Systems started to Sense in Many Directions.

In the first step a Nerve-Net was created.

In the second step one part of the Organism turned Upside-Down and became a Specialized Predictive System (the CNS).

This part fused with the Bodily Part creating one Organism that contained Two Organisms.

The Bilateria, the Organisms with Two Complementary Parts, Body and Mind, were born.

Some of the Bilateria called Humans fused in Social Structures and the Social Structures fused and fused and became more efficient, bigger, stronger, older and therefore more competitive.

In due time they will Rule the Earth and will start to create bigger and bigger systems until they will rule the complete Universe.

To make this possible the Humans need every other part of Nature to Sustain their Growth. This will certainly result in a huge Collapse of their own Eco-System.

The main reason this is happening is that the Humans forgot to Copy the Designs of Mother Nature.

The Brain (Thinking and Sensing, Left Brain), Looking Up at the Sky,  believed it could do a much Better Job than it’s counterpart the Multi-Cellular Body (Emotions and Imagination, Right Brain), Looking Down at the Earth, the Source of All Creation.

Kleiber’s Law shows that we are now using 122 times more Energy per Person than we really would need if we would Scale in the right way.

What can we learn from Kleiber’s Law?

All organisms including the humans depend for their maintenance and reproduction on the close integration of numerous subunits.

These components need to be serviced in a relatively `democratic’ and efficient fashionto supply energy, remove waste  and regulate activity.

Natural Selection solved this problem byevolving hierarchical fractal-like branching networks, whichdistribute Energy, Information and Materials between Big Reservoirs (“Lungs”) and Small Connection Points (“Alveoli”) of other Circulatory Systems (“Blood”).

This Fractal Bottum-Up approach is highly effective and efficient.

The not-fractal, Top-Down,  machinery designed by the Humans is Scaled with a factor 1 so we can improve a lot by copying Mother Nature.

LINKS

About Goethe and Morphology

About the Heart Chakra or Why the Heart connects the Brain and the Body

How to use the Heart to find Balance

About the Heart and Ethics

Why Humans look a lot like Bacteria

About Kleibers Law and the Rain Forest

About the Five Worldviews

A movie about Fractal Structures in Nature

About the Fusion of Water in the Cell

About the Number Five in Chinese Medicine

Why Humans are part of Super Organisms

How the Humans evolved out of the Bacteria

About the Left and the Right Brain

About the Void

How the Heart synchronizes the Body

About the Fast Transmisson Channel in the Body

About Kleiber’s Law

A general model to explain Kleiber’s Law

About Kleiber’s Law and the Growth of Cities

About the Immune System

About Bacteria

About the Law of Kleiber and Ant Colonies

The terrestrial evolution of metabolism and life

A movie about the origin of vertebrates

There is only the Dance

Shiva the Hindu god of destruction is also known as Nataraja, the Lord of the Dance. Like yoga, dance induces trance, ecstasy and the experience of the divine.

The most common figures depict a four-armed Nataraja. These multiple arms represent the four cardinal directions. Each hand either holds an object or makes a specific mudra (gesture).

The upper right hand holds a hour-glass drum which is a symbol of creation. It is beating the pulse of the universe. The drum also provides the music that accompanies Nataraja’s dance.

The opposite hand, the upper left, bears on its palm a tongue of flames. Fire is the element of destruction of the world. It is also the symbol of passion.

The second right hand is held in the abhaya pose (without fear) and so a gesture of protection. It depicts the god as a protector.

The left leg is raised towards the right leg and reaches across it; the lower left hand is stretched across the body and points to the upraised left foot which represents release from the cycle of birth and death.

The hand pointing to the uplifted foot is held in a pose imitative of the outstretched trunk of an elephant. In Sanskrit this is known as the ’gaja-hasta-mudra’ (the posture of the elephant trunk), and is symbolic of Ganesha, Shiva’s son, the Remover of Obstacles.

Nataraja dances on the body of a dwarf apasmara-purusha, the man of forgetfulness, who embodies indifference, ignorance and laziness.

Creation is possible only when the weight of inertia is overcome and suppressed. The Nataraja image thus addresses each individual to overcome complacency and get his or her own act together.

The ring of fire and light, which circumscribes the entire image, identifies the field of the dance with the entire universe. The lotus pedestal on which the image rests locates this universe in the heart or consciousness of each person.

The hands of Shiva represent the Human Faculties of the Imagination (Creation, Spirit, Vishnu), Control (Destruction, Thinking, Compression, Shiva), Desire (Agni, Fire, Sensing &Acting, Expansion) and the Emotions (Soul, Ganesha, Motivation, Removing Obstacles).

Imagination

Humans need the “Illusion of Control” to sustain their Identity. Deep within they don’t want to believe that Other Human Beings or the Forces of Nature (“the Acts of God“) are also Active Agents.

The Imagination creates the Identity, the believe that I Am What I Am.

When we are in Deep Meditation, the Observer, the Consciousness, is able to watch the constant popping up of  Images (Ideas) out of the Nothing. 

If we are not able to keep the Observer-state, we move into the Sleep of the Darkness or our Senses are attracted by one of the Images  and move into the Dream State.

According to Buddist belief the Dream State, (Maya, Not-That) is Not the Real Word.  This world is hidden behind a veil. Behind the veil lies the Void.

The Void is not empty. It is comparable to the Zero-Point-Field, the state of the Universe before the Big Bang. In this state everything,  even the impossible,  is possible.

In the Void, Ideas of the First Creator (Brahman) Pop-Up, Move into Existence for a while and finally disappear. 

For a very long time Brahman was in deep meditation until one of the Ideas of Brahman created a Huge Excitement. This was the Idea to become Aware of Itself.

To make this happen Brahman had to spit itself into two parts, the Observer (Being, Consciousness) and the Actor (Becoming, Desire, Acting).  

Maya, the Material World,  the Expanding Universe, was created when the Desire to become Aware generated the first Split of the Universe, the split between the Void and the Not-Void, the Whole.

At this moment the Left Brain and the Right Brain of Brahman are fusing and soon we all will experience the Whole which is not the Void. The Void will stay a Mystery for Ever and Ever.

Motivation

Ganesha rides a mouse, the symbol of mankind’s ignorance, his hidden fears and insecurities and his deep attachment to petty worldly objects.

By riding on the mouse, Ganesha shows that one can and must control and overcome all negative feelings. One can be the master of oneself and need not be a slave.

The head of Ganesha, the Elephant,  symbolizes the Atman, the Soul  and his human body signifies Maya.

Our “Head” or better our Soul is connected to the Void,  but our Body is an Expression of the Non-Void.

Our Body is part of the Material World and has to obey the Rules of the Material World.

Ganesha represents the Emotions, the Motivation, the Rotation, that started when Maya started to expand. When an Elephant is In Motion it is able to remove all obstacles.  

An Elephant is Part of a Herd that needs a Shephard (Vishnu, the Imagination) to find Its Way.

When an Idea pops up in the Imagination it moves the Wheel of the Emotions and the Body want to realize the Idea in the Material World.

Desire

Agni brings about growth, expansion, ascension, and transformation. It is the fire hidden in earthly things which rises out of them to heaven beyond.

Fire is the symbol of agni. The quality of fire is to spread itself. Because it spreads itself in every direction, it is present everywhere. Even though it spreads in all directions its motion is always upwards. It carries everything that it consumes and purifies, upwards.

If the motivation to realize the idea is there,  the Fire of Agni is lighted and the Human becomes passionated.

If you are  not able to control your passions you will become Addicted to the idea and the idea will never be realized.

Control

Shiva is the Destroyer. He wants to bring everything back to the void.  The Fire of Agni is able to expand the orginal idea to exceptional proportions.

At a certain moment Shiva stops the Fire and takes over Control. The idea is simplified,  put into a plan and is finally on its way to the Material World.

The Cycle Moves On

But the Creative Energy is already busy to generate new Ideas. If this happens,  the orginal plan is adapted and adapted (“scope creap“) and will never be realized.

LINKS

About Emptyness

About the Fusion of the two Minds of Brahman

About Ma’át, the Egyptian Shiva

About Good and Evil

About the Illusion of Control

About Addiction

Why you need an Obstacle to become Excited

About Scope Creap

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.

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.

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.

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.

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.

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.

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.

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 Hypnosisy

About the Cardiac Pacemaker Cells

About Cymatics

About the Heart Chakra

About Stress and the Action Potential

About the Metallic Mean

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)

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 Emptiness 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.

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 attracts 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“.

Everything is different from any other thing when you collect enough different data about both of them. When you ignore every detail everything 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.

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.

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 determines the way the Waves of the Universe expand.

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.

If the Universe is a Closed System, the Waves of the Past and the Waves of the Future will meet in the Now.  At every moment in Time, we are able to look into a possible Future and a possible Past.

At every moment in Time we can Change the Past and the Future if we are able to start a Powerful Negative (Destructive, Bad) or Positive  (Creative, Good) Wave of our Own.

According to the Ancient Scientists the Forces of the Tattvas at a certain Level of Enfolding represented Consciouss Beings (Angels, Devils) who could be Called to help to influence the Standing Waves of Matter.

In the strange terminology of Quantum Mechanics, this state is called a Quantum Superposition and the union of the waves is called Quantum Entanglement. Quantum Entanglement moves with a speed much higher than the Speed of Light.

Sometimes the fragmented Tones of the Universe unite into one Symphony when the Strings of the many Violins of the Individual Standing Waves are in Tune.

We are able to change the Past and the Future when we are in Tune with the Waves of the Universe.

About the  Number Five

The symbol of the number Zero (“0”) looks like an Egg, the Âkâsha. The Âkâsha represents Space.

The name “zero” comes from the Arabic صفر, şafira, “it was empty” and the Sanskrit śūnya “void” or “empty”. The 0, Space, was Empty, Ø, before it was created.

According to many creation myths the beginning of this world,  Non-Being, Ø, the Empty Set, expanded into an Egg, 0.

The Egg started to Rotate (Air, Vayu, Movement) and was splitted into the Duality (-1,1), the Crescent of the Moon (Apas), the In-Between-Moon or Half Moon (1/2).

The negative part of the Duality started to move in the Opposite Direction. At that moment the Good (Creation) and the Bad (Destruction) were created.

The Apas are the force of Contraction (Control), the Opposite of the Tejas, Fire (Desire), the Force of Expansion. The Apas want to bring the System back to the Void.

In the Beginning, the Good (Fire) was much stronger than the Bad (Water). Therefore the Universe started to Expand.

The Trinity, the Triangel (Tejas, Fire), contains three numbers (-1, 0, +1). When the first Trinity was created the Force of Fire and Desire, the Tejas, started to Expand the Trinity into more Trinities. The production of Trinities in Trinities is a Fractal Pattern (“So Above, So Below“).

The first two Triangels, the Triangel of the Trinity of the Mind of the Atman and the Trinity of the Material World, are combined into a Square (Prithivi, Earth). The Prithivi is seen as the Force of Resistance, the Opposite of Âkâsha, Space.

The Prithivi, the Square of the Four Forces, the Human,  resists the movement back to the Void. The main reason is that the connection between the Spiritual World and the Material World is very strong.

The Spirit of the Human, situated in the Heart Chakra,  needs Matter to create all the possible combinations of the Becoming Trinities to Experience the Fullness of Being.

The number Five can be found in the Middle of the oldest Magical Square on Earth, the Lo Shu Square. The Lo Shu Square was given to Emperor Yu the Great after the Great Flood (3117 BC) by a Turtle, the symbol of the Star System Orion.

About the Magic Square of Lo Shu

The Lo Shu Magic Square contains the numbers 1-9 (3×3). In every direction they add up to a total of 15 (3×5).

The Magic Square Constraints the Expansion of the Force of Fire and makes it possible that the Cycle moves back to the zero, the Void, the Mystery.

-14-3
-202
3-41

When we subtract all the numbers in the Magic Square with the number 5,  the Zero of the Egg of the Âkâsha appears in the Middle.

The transformed Magic Square shows an interesting symmetry.

On the six “crosses” the same negative and positive Tattvas are found. The Four Tattvas are Balanced in the o, Space, the Âkâsha.

On the straight lines, two symmetric patterns emerge ((-1,4,-3) and (1,2,-3)) again both positive and negative. In these patterns the 4 balances the 1 and the 3 and the 2 balance the 3 and the 1.

When we follow the Numbers of the Square from -4 to +4, the Sheng Cycle appears.

About the Sheng Cycle

The Sheng Cycle not only contains the Cycle of the Five Tattvas. It also contains Five Triangels in which One Tattvas Balances Two other Tattvas.

The number Five is the same as the Number Zero when we accept that there are Two Structures (or Two Universes). One structure rotates in the Positive Domain, The Sun, and one in the Negative Domain, The Moon.

The Square represents the Four Force of Nature who are the Four Combinations of the Two Forces of the Duality, Compression and Expansion, Yin and Yang, the Apas and the Tejas, Fire and Water, Control and Desire.

The Sheng Cycle is the major Cycle in Chinese Philosophy. It was used to explain and control the many levels of existence (State, Family, Environment, Body,..).

The Sheng Cycle moves in two directions, With the Clock (Generating, +1) and Against the Clock (Destructing, -1).

When we combine the two Cycles a 9(3×3)-fold Twisted Moebius Ring is created with the Earth in the Middle. This Cycle is represented by the Symbol of Infinity (). This Cycle is comparable to the Tree of Life, the Jewish Sephiroth, and the Ancient Egyptian Pesedjet (the Nine).

In the Bright (positive) Part of the Moebius Ring, we are in the Sun-State, Life. In the Dark (negative) Part we experience the Moon-State , Death, the Underworld (Our Twin Universe), the place where the Souls exist when they Die.

Now it becomes very clear what the Ancient Indian Scientist meant with the Dark Moon-State of the Svara. When the Wave of Life moves back to the Center, the Void, Death will become Life  (“the Death will be raised“), Time will Reverse, the Universe will Compress and the Good will become the Bad.

About Harmonics

In 1931 the US Department of Commerce assigned Edward Dewey the task of discovering the cause and underlying dynamics of the Great Depression. The US Government created a special institute the Foundation for the Study of Economic Cycles. The Institute contains a huge database of the times-series of almost every Cycle there is.

The most interesting observation of Edward Dewey is that Cycles restore themselves all the time and are influenced by other Cycles. The Cycles Resonate.

Ray Tomes, a statistical mathematician, started to do research on the time series of the Institute. He confirmed the Insights of Dewey but with the much more powerful tools of his time, he was able to dig a lot deeper into data.

Tomes detected a relationship between the Cycles and Music, the Âkâsha. Tomes also developed a  method to find the basic structure behind the Waves of the many Cycles.

Tomes found one Basic Standing Wave that generates other waves by producing Overtones. Tomes rediscovered the Svara and could also explain why the “numbers” behind the Svara are the way they are.

The explanation can be found in the so-called Highly Composite Numbers (HCN). The HCN is “social” numbers with many divisors. They represent the major “harmonic” connectors in the Universe. The HCN are the opposite of the “lonely” Prime Numbers who only contain themselves.

The structure behind the HCN is self-referential and is based on the numbers 2, 3, and 5.

About the Cyclic Universe of Paul Steinhardt

Paul Steinhardt has created a new theory about the Universe based on the Four Forces of the Square and the Void in the Center. In his theory the Universe is Cyclic. It is expanding and contracting.

The expansion of the Universe ends when the Two Major Structures (-1,1) in the Universe, called Membranes or Branes, are in Balance with the Center, the Void (0).

The two Branes are higher dimensional flat surfaces that are in parallel. The Left and the Right Brains split into many similar Cell-like Structures. We live in one of the Cells of the Cyclic Universe.

When the Universe expands the constraints of the Flat Surface (the Lo Shu Square) create a huge tension and the flat surfaces start to Ripple. The Ripples are waves that are closed in themselves (loops).

When you use your imagination you can see that the Cyclic Universe of Paul Steinhardt has a lot in common with the ancient theories of India and China with only one difference.

In the Ancient theories, the creator of the Universe was “Aware of Itself” in the new theories Awareness is a Feed-Back-Loop, a Cycle.

About Ancient Spirituality and Modern Science

This blog started with the Ancient Spiritual Indian Concept of the Svara, the Wave of Life. It ends with the Modern Material Cyclical Universe of Paul Steinhardt.

In between, I have tried to show that the old theories of The Self-Aware Universe and the new theories of the Endless Feed-Back Loops in Our Universe have a lot in common.

The Ancient Spiritual Scientists developed a Theory of Everything based on the principle of the Fractal Universe (“So Above, So Below“).

If the Universe is a Fractal Structure,  the only thing the Modern Sciences have to do is to find the Right Level of Observation (Cells, Body, Family/Group, Culture, State, Earth, ..) of the Fractal Expansion of our Universe and the Same Laws will appear again and again.

About the Good, the Bad, and the Nothing

If the Good and the Bad are Standing Waves that move With the Clock and Against the Clock it will be much easier to determine what is right and what is Wrong (Left).

With the Clock moves With the Flow. It generates new structures until the Limits of the Universe are reached.

Against the Clock moves Against the Flow. It destructs new structures until the Limits of the Universe are reached.

The Bad wants to Control Everything. It Fears the Good and the Future.

The Bad does not (want to )understand that The Good and the Bad are moving to the same Destination, The Nothing.

The Good gives us Joy, Pleasure, and Excitement.

The Bad moves Back in Time. It wants to restore what was already there. Its final aim is the Zero, Empty Space.

The Good moves Forwards in Time. It creates new Perspectives about a Bright New Future. Its final aim is Every Thing, the Many, Infinite Space filled with an Infinite Amount of Forms.

The Bad and the Good move Back and Forth around an Unknowable Center, the Nothing, that makes Every Thing possible.

Some day the One and the Infinite will merge, into the Impossible. When this happens the Nothing will return for a very short  (1/∞) moment.

LINKS

About the History of the Laws of Nature (The Website of Milo Wolff. It contains everything you want to know about the history of the concept of the Standing Wave).

Why Matter is a Standing Wave

About the Svara (This Website contains a (big) Complete Book written in 1894 about the Ancient Theory of the Svara.  A Must Read, when you want to understand Ancient Physics).

About the Harmonic Theory of Ray Tomes

The History of Western Medicine

At the end of the Middle Ages the Merchants of the Big Cities took over the Power of the Church of Rome. The income of the Church went down dramatically. The amount of poor (and sick) people moving to the Big Cities increased and the Costs of the Free of Charge Hospitals went up.

At the Council of Trent (1545) the Church of Rome decided that the Cities would take over the responsibility and the payment for the Hospitals. From that time on the Hospitals were run by the Merchants as a Commercial Company. The Seven Acts of Mercy lost their meaning. The only thing that counted was making Profit.

The managers of the Hospitals made a distinction between paying and poor non-paying patients. The patients with an income  had to pay for their food and everything else that was needed. The sick poor people were put into Almshouses who were paid out of the charity of the Rich.

At that time the Guilds became a very important power in the Cities. They regulated just like the Unions today almost everything to avoid competition and took care of the Healthcare and Education of their members.

The Hospitals even made money with the Sale of the Dead body of a poor person to an Anatomical Theatre. The Theatre was used for Entertainment and the Education of the Guild of Surgeons.

The Rich People were treated in their Own Houses by the Doctores Medicinae, educated at the University. The Doctores used a Medical Theory that was based on Analogy. This system looks a lot like the Ancient Practice of Chinese Medicin and The System of the Four Humors. At that time it was believed that the Mind, the Spirit, was more important than the Body.

The patients were mostly treated with herbs that carried the “signature” of the Disease (Homeopathy).  The “dirty” work was done by Barbers and Surgeons who were part of the Guild System. The Bloodletting Points have a lot in common with Chinese Medicine.

The System of the Four Humors was abondoned by the Medical Profession at the End of the 19th century but is still used in Psychology (Archetypes of Jung, Interpersonal Theory, Big Five).

In the 19th Century in the Middle of the Industrial Revolution the Quality of the Medical System was at its deepest point in History.

The Factories took over the work of the Guilds who until that time took care of the Healthcare of their members. In the Big Cities the Owners of the Factories took over control. Some of them started to create Healtcare Facilities for their own Factory Workers.

Many people moved to the big cities to find work and failed to do this. The hygiene in the Cities with its open sewers was very low.  Epidemic after epidemic hit the highly vulnarable poor population of the cities.

The innovation of the Health System began in France. In 1617 Vincent de Paul started the Confrerie de Charité. The Daugthers of Charity were rich unmarried women who devoted their lifes to the care of poor and sick people.

In 1633 the first nursing school was started by Louise Legas-de Marillac. In 1836 Theodor Fliedner in Germany together with Elisabeth Fry in England founded a comparable institute of young women of the Protestant Faith called the Deaconesses.

From that time on the Catholic and Protestant Nurses started to reorganize the Medical System. Hundreds of new Hospitals were created in Europe, Asia and the United States.

In the first half of the 20th century, medicine was completely revolutionized with the explosion of the use of medical technology.

Some of the medical technologies invented in this period were the thermometer, the stethoscope, the microscope, the ophthalmoscope, the laryngoscope, and the x-ray. With these medical devices, doctors were able to Sense parts of the patient’s body such as lungs, and hearts. In the beginning the specialists created their own diagnostic centres with their big tools in the center.

Physicians in early 19th century mostly practiced General Medicine including Mental Diseases. At that time the Church was still the most important factor in the Cure of Mental Diseases.

In England at the beginning of the nineteenth century there were, a few thousand ‘lunatics‘ housed in a variety of disparate institutions. After the Creation of the Psychiatric Specialism by 1900 that figure had grown to about 100,000.

When a Specialism is created it creates its own diseases and of course its own patients. The Health Care Industy generates its own Market.

Because of medical technology the  development of specialities occured at a very fast rate. In 1930s, 1 out of every 4 doctors was a medical specialist. By 1980, 4 out of 5 doctors were specialists. The extreme specialization of the Physicians created a highly fragmented view on the Human Body and the Human Mind.

At this moment every small part of the Human is analyzed and treated but the effects of the treatment on the other parts is often not known. This  generates Side-Effects which create knew diseases which create new diseases.

In the late 19th and early 20th centuries apothecaries started to produce their own drugs in small factories. Later these small factories where joined into one big Chemical Plant. One of the most powerful conglomerates in the Health Care Industry,  IG Farben ,was created in 1926 in Germany.

At this moment the Pharmaceutical Industry is the most important Power in the Medical Ecology. It influences governments, customers and physicians in their decisions to diagnose and cure a disease. To sell their drug the companies create and promote new diseases.

The main effect of this development is that a huge part of the treatment of patients is based on “chemical warfare” against sometimes artificial created enemies.

Until the end of the 19th Century Hospitals looked like Churches. The main function of the Hospitals was to Take Care of the Sick, the task of the Sisters of Charity, the Nurses. The Physicians did not play an important role. At the end of the 19th Century the Medical Profession was not highly valued.

When the Specialized Diagnostic Centres were created the Hospitals changed into a Pavillion. The Patients were moved from Center to Center. At that time the Medical Specialists took over the power in the Hospital. It was also the moment when the System of the Sisters of Charity started to dissolve. Taking Care became a Profession instead of a vocation although many Nurses are still “called” to their profession.

In the last step the Diagnostic, Operational and Care centres of the hospital were fused into one Big Highly Specialized Integrated Building.

What is Happening?

Many people are highly dissatisfied with the Current Medical System. They know that the Fragmented Technological  Approach will not solve the problems of their Whole Body and Mind. A huge amount of money is spend at so called Alternative Medicine. This field is just like the Current Medical System highly fragmented and the quality of the practioners is not clear.

What we need is a new approach in which the Reactive Fragmented World of Western Technology and the Preventive Eastern Word of Wholeness are United.

What is Going to Happen?

Medical Technology will  take over Medicine just like Technology will taken over every other Profession.

It will not take long until an Intelligent Diagnostic System will be much Smarter than every Specialist on Earth.

It will not take long until there are portable Sensors that are able to Measure everything that is happening in Your Body.

It will not take long until the Diagnostic System will send you the Medicine (or an Advise) you need long before you even think about going to the Doctor.

A complementary approach to the Western Reactive mostly “Chemical approach is the Eastern Preventive approach.

In this case the Electro Magnetic (Chi) Field of the Body will play an important role. The E/M Field of your Body is the most sensitive system. It can easily be used to balance all the other Systems.

Of course we have to integrate Body (Medicine) and Mind (Psychology) in our Preventive Approach.  The State of Mind of a Person is one of the most important causes of a disease.

It will not take a long time until the Sensors will be able to detect a fatal State of Stress in your Body caused by your Mind.

It will not take long until the People with an Intuitive Medical Talent, the Healers, will become more important than Highly Advanced Diagnostic Tools.

It will not take long before the Preventive Approach will completely take over the Reactive Approach.

If this happens we don’t need the Healthcare System anymore.

What will Happen with the Hospital?

At this moment big investments are made in huge Hospitals. If the Future develops the way it goes these Big Buildings will not be needed anymore.

Treatment and Care will take place in your own House just as happened with the Rich People in the Past.

The only question is.

Will there be enough Caretakers (Nurses?)  to Take Care of you or will the Robots take over their task?

Perhaps we have to revive the Daughters (and Sons?) of Charity!

LINKS

About the Calvinistic Work Ethic

About Vocation

About the Industrial Revolution

About the History of IG Farben

About Magic and the Memory Palace

In the 5th century AD, Martianus Capella defined the Seven Liberal Arts: Grammar, Dialectic, Rhetoric, Geometry, Arithmetic, Astronomy, and (Musical) Harmony. The System of Capella became the model of the Medieval University.

The term liberal means “appropriate for free men“.  The Liberal Arts represented the kinds of skills and general knowledge needed by the Elite. The Servile Arts represented Specialized Tradesman Skills and knowledge needed by persons who were employed or owned by the Elite.

The Number Seven was not taken by Accident. This number represented the Seven Days of the Week, the Seven Spheres, the  Seven Planets, the Seven Notes and the Seven Colors.The Seven Planets of the old cosmology included the Sun (Sol) and the Moon (Luna), which we now don’t regard as planets at all.   The other Five were Mercury, Venus, Mars, Jupiter, and Saturn, the 7th planet and the Son of the Sun.

In Ancient Babylonia,  the Seven Spheres were represented by a Building , A Ziggurat, that looked like the Tower of Bable. This Babylonian Step Tower was a Visual Model of the StairWay to Heaven.  The Seven Spheres were divided in three Heavens and three Hells with the Earth in the Middle. The Pyramids in Egypt are based on the same model.

The Three Heavens contained Three Hierarchies of Angels, Nine in total. At the Top, the Eight Step,  the Creator was situated. Again the Creator consisted of three Entities, The Father, The Son and The Holy Gost (The Trinity).

As You can See the Number Three plays a very important role in the Ancient Models. The main reason could be that this number is the most efficient number when you want to create a Number System.

If you use this number as the Base System the Universe could be explained as Triangels within Triangels. With the help of the Trinity-Fractal Ancient models like the Tree of Life, and the Egyptian Pesedjet are easy to understand. The Trinity-Fractal comes back in modern Physics as the Triangel of Pascal.  In Ancient China the Triangel of Pascal was called the Wei Chi. The Wei Chi was used to play the Game of GO.

In 1275 Raymond Lull designed a tool to Classify and Generate all the Knowledge of the Universe based on a Set of  Nine (3×3) Concepts.  His invention was described in his book Ars Magna (“The Ultimate General Art”).

Ramon Llull
Raymond Lull.
Llulls machine

Lull’s logic machine consisted of a stack of concentric disks mounted on an axis where they could rotate independently. The disks, made of card stock, wood, or metal, were progressively larger from top to bottom. As many as 16 words or symbols were visible on each disk. By rotating the disks, random statements were generated from the alignment of words. Lull’s most ambitious device held 14 disks.

The disk contained the Nine most important (Christian) Concepts of the Universe:  Bonitas (Goodness), Magnitudo (Greatness), Eternitas (Eternity), Potestas (Power), Sapientia (Wisdom), Voluntas (Will), Virtus (Virtue), Veritas (Truth), and Gloria (Glory).

Lull’s fame as a Mystic spread throughout Europe during the late Middle Ages and Renaissance. Centuries later, the German

mathematician Leibniz acknowledged the importance of Lull’s Machine.

The idea for the machine came to Lull in a Mystical Vision that appeared to him after a period of fasting and contemplation. In reality, Lull may owe his Divine Inspiration to the Magi. They used a Device called the Zairja, an Idea Generator that used the 28 letters of the Arabic alphabet to represent the 28 Categories of Thought in Arab Philosophy.

In 1516 Thomas Moore published his book Utopia, a description of an Ideal State. Much later Tommaso Campanella (The City of the Sun), Francis Bacon (The New Atlantis) and Johannes Valentinus Andreae (Description of the Republic of Christianopolis) wrote comparable books. The books were based on Plato’s Republic. All of the books contained Architectual Designs based on Ancient Geometries.

Around 1300 Wealthy and Powerfull Merchants (de Medici) in Italy regained interest in the Ancient Knowledge of the Egyptians, the Arab, the Greek and the Romans. This knowledge was almost completely destroyed by the Church of Rome.

Scientists, Poets and Artists (Petraca, Dante, Boccaccio) visited Byzantium and discovered ancient manuscripts written in Greek and Latin.  Greek scholars were encouraged to come from Byzantium to Italy. Byzantium and Europe was ransacked for copies of the long unused Latin classics and copyists multiplied them.

Libraries were founded, and schools for the study of both Greek and Latin in their classic forms were opened at Rome, Mautua, Verona, and many other towns. After the fall of Constantinople in 1453 the proces gained a further impetus because of a number of Greek humanists who moved from Byzantium to Italy.

In 1462 the Platonic Academy was opened in Florence under the patronage of Florentine Duke Cosimo de’ Medici. Its leader became Marcilio Ficino.

Around 1463 Cosimo de’ Medici commissioned Marsilio Ficino to translate a book called the Pimander with high priority  into Latin from a Greek manuscript brought from Macedonia. This book contained the Corpus Hermeticum that was attributed to Hermes Trismegistus.

Thot.

Hermes Trismegistus “Thrice-Wise“was named Thoth or Djehuti in Ancient Egypt. The Djed of Djehuti represents the Power of the Snake (the Kundalini) in the Spinal Column. Thoth was the Scribe of the Gods, the inventor of writing, and was usually depicted in hieroglyphics with the head of an Ibis Bird. This head of the IBIS carried the Moon, the Planet of the Mother God, The Night and of Magic.

At that time Scientists believed that the Older the Truth the Bettter. They believed there was once a Golden Age in which the Eternal Truth was known. From that time on History was in a Downfall until the time of the Resurrection.

Marsilio Fucino dated Hermes Trismegistus “long before the sages and philosophers of Greece, but yet after Abraham, Isaac, Jacob, and Joseph“. His dating of the Corpus “proved” that the writings of Hermes contained the Primal Source of Wisdom.

In 1945 Coptic fragments of the Corpus Hermeticum together with many other Gnostic Writings were found at Nag Hammadi, Egypt.

At this moment we know that the Corpus Hermeticus just like the Emerald Tablet ,another text dedicated to Hermes, was written in Alexandria around 200 BC.

Alexandria, created by Alexander the Great, was the place where the Ancient Knowledge of Heliopolis ,the City of the Sun, was stored in its immense libraries after its destruction. A part of this library was later moved to Byzantium, the Center of the East when the library of Alexandria was destructed.

The most important message of Hermes is that the Physical World is the Manifestation of the Spiritual World. This is summarized in the Hermetic adage “As above, so below.” At this moment we would name the concept of “As Above, So Below” a Self-Reference or a Fractal.  The old Scientists knew that one Concept returned on every Level of Our Inside and Outside Reality.

The Corpus Hermeticus provided a seminal force in the development of Renaissance thought and culture. After the Dark Middle Ages, controlled by the Rule System of the Church of Rome, the Scientists started to do their Own Research and  Thinking.

The Cycle of Culture moved from the Stage of Order to the Stage of Imagination.

GIORDANO BRUNO NELLA STORIA DELLA CULTURA
Gordiano Bruno

One of these Scientists was Giordano Bruno. Bruno was born in 1548. At the age of 17, he entered the Dominican Order, was trained in the Liberal Arts of that time  and became an ordained priest in 1572 at age 24. During his time in Naples he became known for his skill with the Art of Memory and on one occasion traveled to Rome to demonstrate his System before Pope Pius V and Cardinal Rebiba.

The Art of Memory belonged to the rhetoric tradition as a technique which enabled the orator to deliver long speeches from memory with unfailing accuracy.

At that time people had to Learn a lot of information by Heart. To do this they used a Mnemonic System called a Memory Palace. The memory images were linked with visualized locations that could be found in architecture, books, sculpture and painting, which were seen by practitioners of the Art of Memory as Externalizations of Internal Memory.

Artists used the Images that were part of the Memory Palace as a reference. The Images were linked with Universal Concepts. In the time of Middle Ages and the Renaissance people knew the Meaning of every Image that was used. Geometric Structures, Paintings, Poems and Buildings were carriers of many Levels of Meaning. Some of these levels were only known by the Inner Circle of Ancient Secret Societies.

In the old days the Inside World was seen as the most important place to Explore. The Outside was nothing but a Projection of the Inside.

Examples of Ancient Memory Palaces are Ancient Egypt, the City of Meru (Sri Yantra), the City of Heliopolis, the Babylonian Ziggurat, the Egyptian Pyramid, The Temple of Solomon,  and the most important Memory Palace,  the Zodiac. In the Middle Ages Cathedrals (Chartres), Palaces (Alhambra) and Temples (Taj Mahal) were designed and used as Memory Palaces.

“Some place is chosen of the largest possible extent and characterised by the utmost possible variety, such as a space house divided into a number of rooms. Everything of note therein is carefully committed to the memory…The next step is to distinguish something [to be remembered] by some particular symbol which will serve to jog the memory…. These symbols are then arranged as follows. The first thought is placed, as it were, in the forecourt; the second, let us say, in the living-room; the remainder are placed in due order all round… and entrusted not merely to bedrooms and parlours, but even to the care of statues and the like. This done, as soon as the memory of the facts requires to be revived, all these places are visited in turn and the various deposits are demanded from their custodians, as the sight of each recalls the respective details” (Quintilian Institutio Oratoria, Book XI).

The Art of Memory was a very important Art because Manuscripts were very rare and the use of Manuscripts and Symbols was seen as the major cause of the detoriation of society. Books produced “fake” scientists who are not wise but only appear to be wise.

For this invention will produce forgetfulness in the minds of those who learn to use it, because they will not practise their memory. Their trust in writing, produced by external characters which are not part of themselves, will discourage the use of their own memory within them. You have invented an elixir not of memory but of reminding; and you offer your pupils the appearance of wisdom, not true wisdom, for they will read many things without instruction and will therefore seem to know many things, when they are for the most part ignorant and hard to get along with, since they are not wise, but only appear wise” (Plato, Phaedrus).

Giulio Camillo was one of the most famous men of the 16th century. With a commission of 1200 ducats from the King of France, Francois I, he created a theatre that contained divine powers: whoever entered the theatre would emerge with a complete memory of all the knowledge that had ever existed. The design of his theatre is described in his book L’idea del teatro written in 1554, the last year of his life. The theatre consisted of Seven Levels and contained the complete Knowledge of the Corpus Hermeticum.

Following the order of the creation of the world, we shall place on the first levels the more natural things…those we can imagine to have been created before all other things by divine decree. Then we shall arrange from level to level those that followed after, in such a way that in the seventh, that is, the last and highest level shall sit all the arts… not by reason of unworthiness, but by reason of chronology, since these were the last to have been found by men” (Guilio Camillo).

At the time of Gordiano Bruno Copernicus detected that the Sun was the Center of our Planetary System. His discovery was in conflict with the Theories that were educated at the Universities that were controlled by the Church of Rome.

Gordiano Bruno saw that the new theories were in line with the teachings of the Corpus Hermeticum in which the Sun (of Heliopolis) was in the Center. Bruno started to Fuse the Knowlegde of the Corpus Hermeticum with his already highly advanced Memory System.

At that time the power of the Church of Rome was going down rapidly. Europe was divided by religious wars between Catholics and Protestants. The merchants, bankers and artisans of Europe’s largest cities and towns resented the fact that local bishops of the Church controlled all of their commercial and economic activities.

Priests married and then took mistresses, holy offices were bought and sold for the highest price, incompetence among the clergy became the rule, the congregation of more and more people in towns and cities perhaps exposed the amorality and immorality of the clergy.

Gordiano Bruno believed he had to create a new Religion based on the Ancient foundation of Religion he found in Egypt.

Gordiano was a free-thinker and he never stopped expressing his own believes. When he learned that an indictment was being prepared against him in Naples he fled the convent and started to travel Europe.  He visited the French King Henry III, the English Queen Elizabeth, Wittenburg , the Center of the Protestant Movement, the city of Prague and Emperor Rudolf II.

File:Portrait of John Dee Wellcome M0014534.jpg
John Dee.

At every place he came he started to educate the others in his Expanding (forbidden) Vision of the Infinite Universe. At every place his free-thinking brought him into a conflict and he had to move on.

In 1592 he was lured to Venice, arrested by the Inquisition and transported to Rome. In 1600 he was convicted and publicly burned at the Campo de’ Fiori in Rome. In 1889 a Statue was erected at the place of his execution.

There is no evidence that Giordiano Bruno met John Dee when he was in England but he was in contact with the most important people that were part of the “Hermetic Circle” of John Dee. There is a lot of evidence that Bruno was the creator of the Rosicrusians.

Bruno’s books on the Art of Memory were in reality Courses in the Solar Magic taught by Hermes Trismegistus.

Bruno knew that the most important tools of the Magician are the Power of his Imagination and the Connection with the Major Powers in the Hierarchy in the Heavens, the ArchAngels and the Demiurg, the Creator of the Matrix.

The System of Bruno was created to make is possible to generate powerfull images and Magical Rituals to make the Right Connection (Bonding) with the Major Creators of the Universe we live in.

There are three gates through which the hunter of souls (the Magician) ventures to bind: vision,  hearing and mind or imagination. If it happens that someone passes through all three of these gates, he binds most powerfully and ties down most tightly.” “He who enters through the gate of hearing is armed with his voice and with speech, the son of voice. He who enters through the gate of vision is armed with suitable forms, gestures, motions and figures. He who enters through the gate of the imagination, mind and reason is armed with customs and the arts.” (Giordano Bruno, Theses de Magia, Vol. LVI).

Robert Fludd was born in England in 1574,  thirty years after Giordano Bruno was born. Between 1598 and 1604, Fludd studied the Liberal Arts on the European mainland. Robert Fludd was one of the last Hermetic Scientists of the Renaissance. In his life he tried to describe everything that was known until that day. Robert Fludd was a Rosicrucian.

One of his products is a Musical Memory Palace and a Memory Theatre, the Globe, that was used by Lord Chamberlain’s company to which Shakespeare belonged. In the view of Fludd a theatrical play was a Projection of a part of a Memory Palace.  The Theatre was a tool to educate the Elite (and the Masses) into the Hermetic Whole.

Robert Fludd, The Temple of Music

The work of Bruno and Fludd was taken over by many other Scientists but the relationship between the Art of Memory and Magic slowly faded away.

At the end of the Renaissance Reason, Logic, became much more important than the Seven Liberal Arts.  The Scientists of the Age of Enlightment wanted to get rid of the Delusions of the Imagination. The only thing that counted were Facts observed by the Senses.

Leibniz (1646-1716) was one of the exceptions. He was an Old Fashioned Renaissance Magician and believed in the Harmony of the Spheres. He invented many theories that proved his Point of View and are now proven to be Right.

He believed that scholarship or “perfect knowledge of the principle of all sciences and the art of applying them ” could be divided into three equally important parts : the Art of Reasoning, the Art of Inventing (Combinatorics) and the Art of Memory and the Imagination (Magic). He even wrote an unpublished manuscript about the Art of Memory.

Leibniz got into a big conflict with Newton about the Role of the Imagination and Scientific Discovery in Society. Afther his death Newton and his Protectors, the Medici of Florence, started an effective campaign to prove that Newton was the inventor of the Theories of Leibniz. This is the reason why Newton became the major Scientist of his time.

After the Renaissance, the Stage of the Imagination, the Cycle of Culture moved to the Stage of the Emotions, the Time of the French Revolution. The Old Social Structures of Europe started their big Transformation.

Around 1740 the Industrial Revolution started in England and the Theories of Newton, Descartes and Kant about the Cold Mechanical Reasoner without Feeling and Imagination took the Lead. The ultimate products of the Industrial Revolution, the Computer and the related Factory-Model are now the Leading Paradigm.

The link between the Machine that Controls and Generates our Universe (the Yantra), the Ideas/Concepts that govern our Universe and the related mostly Astronomical Symbols is now completely lost.

Almost nobody is able to understand and value the Ancient Knowledge of Heliopolis that Scientists like Gordiano Bruno and Robert Fludd were trying to reconstruct during the Renaissance.

The Medici and their Successors, the Big Bankers and Merchants, finally succeeded in the Destruction of the Imagination and the Emotions.

Starting 1950 the Cycle is moving into a new Renaissance.

After the Invention of Quantum Mechanics (inspired by Robert Fludd) it becomes clearer and clearer that The Imagination is the Major Power that Creates and Sustains our Universe.

The Ideas of Bruno, Fludd, Plato, the Corpus Hermeticum and the Ancient Knowledge of Heliopolis are coming Back.

One of the most interesting scientists of the Art of Memory is Alan Turing. He constructed a very simple machine now called a Turing Machine that contained a Memory and a Writing Device that could move backwards and forwards. With the help of this simple Device Turing was able to solve many Mathematical Problems. At the end of his Life just before he committed suicide he started to research Morphology, the Science of the Forms.

What to Do?

The Current University System is highly fragmented. It needs a general principle to Unite all the now diverging Subjects of Investigation. The complexity of our Science is enormous. The link between Science, Art and Religion is gone.  We are in the same state as the World was at the end of the Middle Ages.

Perhaps we could introduce the Memory Palace again. It would certainly help to improve the Memory of the Students who are now Copying and Pasting the Internet.

About the Great Flood

At December 25, 3117 B.C. a total solar eclipse was visible at Sunrise at the Winter Solstice point.

This date marks the date of the start of Biblical, Hindu and Maya Calendars. It is also the start of the Reign of Me-Sin or Menes the first Pharao King that united Egypt.

The beginning of the new calendar marks the most important Geophysical Event of the past five millennia  the Great Flood.  One of the causes of the Great Flood could be a close encounter of the earth with the comet Typhon (the Dragon).

And there appeared another wonder in heaven; and behold a great red dragon, having seven heads and ten horns, and seven crowns upon his heads. And his tail drew the third part of the stars of heaven, and did cast them to the earth…And there was war in heaven: Michael and his angels fought against the dragon; and the dragon fought and his angels, And prevailed not; neither was their place found any more in heaven“. (Rev 12:3,4,7,8).

Geo-climatologists  have found a huge climatic change around 3117 BC, called the Piora oscillation. This abrupt change in the climate was probably caused by a huge meteorite swarm (“seven heads and ten horns“), possibly from the break-up of a great comet (“the Red Dragon“) in the inner parts of the Solar system.

Archaeologists have confirmed the presence of a widespread layer of riverine silt deposits, shortly after the Piora Oscillation interrupting the sequence of settlement, that left a few feet of yellow sediment in the cities of Shuruppak and Uruk and extended as far north as Kish.

The recent detected undersea Burckle Crater 1500 kilometers Southeast of Madagascar could be the Impact crater of one of the parts of the Typhon. The Comet that crashed into the Sea caused Massive Rainstorms, Darkness and a huge Tsunami with Waves more than 200 meters in heigh.

The whole earth seethed, and sky and sea: and the long waves raged along the beaches round and about, at the rush of the deathless gods: and there arose an endless shaking.” (Hesiod, Theogony).

At that time the Earth was also at the end of the 1500 years Climate Cycle caused by the Wobble of the Axis of the Earth. This cycle generates Earthquakes, rising of the sea level and a Sudden Change of the Climate. At that time the Earth was highly vulnerable.  The huge impact of Comet Typhon triggered Earthquake-Storms all over the World.

Most of the educated people  that lived in the Valleys of the Middle East were killed. The poor people without any education that lived in the Mountains, the Shepherds,  survived the Flood.

It is very clear that this Mega-Disaster with its devastating Consequences must have had a huge impact on the people that survived the Flood. Their Complete view on God, the Earth and the Universe turned completely Upside Down in a few days.

Before the Flood things were very different. The Immortal Gods and the Humans lived for Four Thousand years between 7.000 BC and 3.000 BC in the Paradise of the Green Sahara.

The Nice Climate in the Sahara made it possible that Fruits, Plants and Animals were so plentiful that there was no need to Strive.

After 3117 BC the Green Sahara Suddenly transformed into a Desert because the Weather Patterns on Earth changed completely.

The survivors of the Wandering Communities of the Hunter/Gatherers had to Move to more Fertile places on Earth. They settled Down at the Oases in the Desert and/or started to Attack the groups that were able to live on fertile grounds. The Peaceful time of the Green Sahara, Paradise, was suddenly disrupted.

About 3000 BC, a shift of power took place in the Near East, as the result of the immigration of large numbers of Semitic & Aryan Tribes into the area. Out of  the Green Sahara, Semitic tribes pushed, in several waves, into the area of the Fertile Crescent. These tribes were known amongst the Mesopotamians as Amurru (meaning “Westerners“).

At the Oases the Hunter/Gatherers were forced into close association with animals which were then domesticated together with planting of seeds. The Cooperation between Humans and Nature that was possible in the abundant Green Sahara changed into a Competition between Humans and Nature.

After some time the Oasis changed into a City State. To Protect the Citizens of the City States against the Evil Outsiders the Kings demanded Total Power.

The first City that was build after the Flood was the City of Kish: “After the Flood had swept over the earth and when kingship was lowered again from heaven, kingship was first in Kish. . . . in Uruk the divine Gilgamesh . . . ruled 126 years . . . its kingship was removed to Ur” (the Sumerian KingList). Excavations there indicate it was founded about 3000 BC.

To Rule their Small (and later Big) Empires the Kings needed their Own Religion. To justify their Position they created the Story of the Evil God of the Sky of the Desert that was the Cause of the Terrible Disaster of the Flood.

Therefore the Lord God sent him forth from the garden of Eden, to till the ground from whence he was taken” (Genesis 3:23) and Cursed is the ground for thy sake. Thorns also and thistles shall it bring forth to thee. In the sweat of thy face shalt thou eat bread” (Genesis 3:17 – 3:19).

The Great Flood killed many people and almost completely destroyed Civilization in the Middle East. The knowledge about writing and astronomy had to be rediscovered again. For a while people reverted to simple tools. After hundreds of  years the rediscovery of Ancient Science was complete and new inventions turned up all over the world.

The leaders knew History would Repeat Itself and started to prepare the world for New Disasters. They knew that the Stars could be used to predict the Future.

One of the things they did was the creation of Astronomical Early Warning Systems like Stonehenge and the Institution of a new Advanced Calendar that made it possible to calculate the date of a New Disaster with a High Accuracy.

Astrology, the Science of the Magi,  was the most important Science at that time. The Stars were used to Navigate and to Predict the Future. It is impossible to understand the Myths of ancient time without a deep knowledge of the positions of the Stars at the time the Myths were created. The relationship between Myths and Astrology is researched by the science of Astro-Mythology.

Around 3117 BC the star Alpha Draconis (Thuban, the Snake)  in the star-system Ursa Minor, The Falcon, was situated in the Center of the Universe.  The Sphinx and the Pyramids are all aligned to this star.

The Magi, the Ancient Scientists,  considered The Center of the Universe, the Pole Star, as the most important point in the Universe. The Pole Star, the Hole in the Centre, was the entrance to the Other Worlds.

The Center of the Universe is not fixed. It moves around in a Circle counter the Circle of the Zodiac. The Movement of the Center is called the Precession of the Equinox and takes about 26.400 years. The book Hamlet’s Mill shows that this movement was already known before the Great Flood occured.

The Cycle of the Precession was divided into Twelve parts of 2200 years and related to the Zodiac. With Every movement into a new part of the Zodiac,  Society was completely reorganized to the Theme of the Sign of the Zodiac.

The Zodiac moved from Virgo to Leo (10.000 BC), from Cancer (8700 BC, Scarab, Kheper) to Gemini (6593 BC, Twins, the Two Kingsdoms), From Taurus (Bull, 4435 BC) to Aries (Ram, 2277 BC, Shepherd, Sheep, Khnum) and from Aries to Pisces (Fish, 155 BC) and is now moving into Aquirius. The Story of Religion also moved with the Signs of the Zodiac.

At 3117 BC Apis (Hathor, Ptah, Nandi), the Bull was reigning the Precession Cycle. Apis shows itself in the Peacefull (Female) Cow of Hathor and Ptah (the Pleiades ) and the Violent Agressive Destructive Bull of King Nimrod. The Bull is associated with the Material World.

The Sjaman of the Hunter/Gatherers used the Hole of the Universe (Thuban, the Snake) to travel Time/Space in Our Universe of the Heart and the Seven other Universes. The Snake of Thuban stands for the Power of the Kundalini, the Union of the Seven Chakra’s into the Middle, the Heart Chakra.

When the Sjaman travelled the Seven other Universes with their Light Body they discovered the Rotating Wheel of Fortune and most important the Force of Life that Moved the Wheel of Fortune.

This Force came into existence when the Void, the Nothing, the Infinite Potential (The Zero Point Field), created its Opposite,  the Not-Void, the Whole, the Material World of Illusions (Maya). The Not-Void enfolded itself in the Tree of Life, the 3×3 levels of the Nine-Fold Pattern of the Egyptian Pesedjet.

After the Flood the Shaman of the Hunter/Gatherers were replaced by the Priests of the Ruling Class, the Pharaos. The Priests of Nimrod blocked the connection with the Infinite Potential, created Artificial Scarcity, introduced the Concept of Sin, started to Divide and Rule and transformed the Story of Maya, the Material World, into a Spiritual Story.

Ursa Minor, the Falcon,  explains the use of the Falcon Name or Horus Names by the Pharaos. The names of the kings were written below the Falcon and claimed certain heavenly Stellar Regions as realms for the kings.  This made it possible to determine the Reigns of the Pharaonic kings Astronomically.

The fact that the Calendar was adjusted in the Middle East, Europe, South America and Asia shows another remarkable fact. At that time One Family (“the Falcon Tribe“) was ruling almost every part of the World.

The members of the Falcon Tribe were the descendants of the Rulers of the Old Continent of AT-L-N (Atlantis), the Land of the Upraised Hand, the Risen Land that was destroyed by the Great Flood. ATLN is often symbolized by the letter T.

At the other side of the World (“the Pacific Ocean“) another old continent was still in existence called Mu.

The big difference between the two continents was the relation with Mother Earth. Atlan wanted to Control Gaya. Mu wanted to cooperate with her Mother.

The names of members of the Falcon Tribe (Ur-ANU-s. Manu, Noah, Nu, Anu, Danu, Danube, Odin, Maru, Ainu, Manitoba, Manoa, Mem, MeSin, Minne, Mani, Menes, Minos, Narmer, Nimrod, Osiris (Asar), Shiva, Set, Ba’al Haddad, ThorRavana, Hu) and their Female parts (Isis, Kali, Freya, Mayence,..)  come back in many Ancient stories all over the World.

With the help of Etymology it is possible to reconstruct the Ancient Names. “Ma”  is an ancient word for Water and “Ma-nusa” (Menes, Anu) means Mankind or Hu-Man. So the meaning of all these names could be “the Hu-Man that came out of the Water“.

Before the Great Flood the City States of Abydos, Naqada, & Hierakonpolis were in constant conflict.

The patron gods of these cities were (respectively) Osiris, Seth, & Horus, and these early struggles between these cities were mythically remembered as the battles between those patron gods.

Of these cities, Naqada (Seth) and Hierakonpolis (Horus) were the mightiest and most powerful. About 3250 BC, King Scorpion, the Father of King Menes, of Hierakonpolis defeated the forces of Naqada and united all Upper Egypt.

After the Flood Osiris/Menes used the Big Army of his Father the Giant Kronos to  implement his “(re-)inventions” all over the world for the “good of mankind“.

My father is Kronos, the youngest of all the gods. I am Osiris the king, who led my army all over the earth to the uninhabited districts of India and those that lie to the North, to the source of the river Ister, yea, everywhere, even to the Ocean.I am the eldest son of Kronos. Child of the noble and beautiful egg. I was born an offspring congenital with day. No place is there in the whole world, whereinto I have not been, conferring on all the benefits whereof I have been the inventor.

Kronos was the Sun of Uranus (Ur-Anus), the husband of Gaia (Earth, DOWN), the Mother Goddess. Uranus was just like Anu the God of the Sky (UP) and the Father of the Giant Titans. The City of Ur could be the Center the Empire of the Falcon Tribe.

Uranus disliked his Evil Children, the Giants,  and  imprisoned them on Earth. His sun Kronos cut off his genitals with a sickle.  Out of his genitals Aphrodite (Isis, “Risen from the Sea“) the Greek Goddess of Love, Beauty and Sexuality was born.

In the Egyptian Myth of Set and Osiris, Osiris is also dismembered (cut of from his Sexual Desires) by Set. Set is exiled by his Father from Heaven (Up, The Stars) to the Underworld (Down, Earth).

Me-Sin/Set knew that the Power of Sexuality and the Union of the Male and the Female in the Divine Intercourse (Tantra) had to be stopped to prevent that the Humans would detect the Serpent-Power of the Holy Spirit again. To do this he introduced the Concept of Sin.

To control the Masses, the Falcon Tribe created a new Religion in which the Female Power of  the Desire of the Body of the Bull had to be controlled by the Male Power of Thinking.

Me-Sin (Sin = Strong Lion) is a descendant of the  Nephilim, a Race of Giants, the Sons of Elohim and Mother Gaya, the Titans:

There were giants in the earth in those days; and also after that, when the sons of God came in unto the daughters of men, and they bare children to them, the same became mighty men which were of old, men of of the heavily stone. And God saw that the wickedness was great in the earth, and that every imagination of the thoughts of his heart was only evil continually. And it repented the LORD that he had made man on the earth, and it grieved him at his heart. And the LORD said, I will destroy man whom I have created from the face of the earth….” (Genesis 6:4).

Uranus/Anu did not like his Children the Giants because they violated the rules of sexuality. They raped their own creations, the Hu-Man.

In the Bible Me-Sin is called Nimrod:

And Cush begat Nimrod: he began to be a mighty one in the earth. He was a mighty hunter before the LORD: wherefore it is said, Even as Nimrod the mighty hunter before the LORD. And the beginning of his kingdom was Babel, and Erech, and Accad, and Calneh, in the land of Shinar. Out of that land went forth Asshur, and builded Nineveh, and the city Rehoboth, and Calah, and Resen between Nineveh and Calah: the same [is] a great city.” (Genesis 10:9-12).

The inhabitants of East Africa (Ethiopia) and the Yoruba still trace their Ancestry through the Father of Nimrod (Cush). Ethiopia was the Center of Ancient Civilization before the Great Flood and the End of Paradise.

Nimrod (“Rebel“, the Bull), a descendent of Ham, a son of Noah,  was a bold man, a great hunter and builder and of great strength of hand. He founded the kingdom in Babylonia, Nineveh and other cities in Assyria.

Nimrod changed the Government into a Tyranny and forced men to Rebel against  his own Father (Ah, Anu).  He swore to build a tower, the Tower of Babylon, too high for the waters of a New Flood to be able to reach. The Tower of Babel, “The Foundation of Heaven and Earth“, the Gate of Bel, The Bull, was  dedicated to Nimrod, also called Marduk.

The Tower, a  Ziggurat, contained Seven Levels, that represented the Seven Heavens , the Seven Planets and the Seven Metals.  The Tower was just like the Pyramid of Gizeh colored with the Colors of the Rainbow associated with the Tones of Creation, the First Universal Language.

The Story of Enlil, their Father/Mother Anu and his Brother Enki has a lot in common with the story of Set and Osiris with one difference. Anu, Enlil and Enki lived before the Great Flood probably in the Old Kingdom of Atlantis (Meru) that was situated on an island in Lake Tritonis in the Middle of the Green Sahara.

According to Sumerian Myths, Enlil created the Humans out of the Apes to work in the Gold Mines of Sheba. His brother Enki created Humans with Intelligence and a Soul out of his own DNA. When Enlil saw that the Humans created by his brother Enki were Demi-Gods (the Giants) he decided to kill them by sending a Flood. Enki informed his own children (Noah, Manu) and saved them.

To avoid a recurrence of the Big Flood Nimrod wanted to know and control everything that happened on Earth.  Nimrod-the Rebel wanted to beat his Unreliable Father, the Trickster, by becoming God Himself.

The Building of the Ziggurat of Babylon was Blocked by His Father Anu. To break the Power of Nimrod the United Language of the Seven Tones of Meru was Destroyed. The Ancient Knowledge of the Number Seven, The Two Trinities United in the Heart,  became a Big Secret that was only available to the Initiates of the Secret Societies.

And they built the tower and the city, and they did this thing daily until many days and years were elapsed. And God (Anu) said to the seventy-two (*)angels who stood foremost before him, to those who were near to him, saying, ‘Come let us descend and confuse their tongues, that one man shall not understand the language of his neighbor,’ and they did so unto them” (Jasher 9:31).

(*): The number Seventy-Two is the number of years it takes for the Sky-Bodies to move One Degree of the Precession Cycle.

In 570s BC, Nebuchadnezzar II of Babylon, seeking to restore the ziggurat, wrote of its ruinous state, “A former king built the Temple of the Seven Lights of the Earth, but he did not complete its head. Since a remote time, people had abandoned it, without order expressing their words. Since that time earthquakes and lightning had dispersed its sun-dried clay; the bricks of the casing had split, and the earth of the interior had been scattered in heaps.”

According to the Ancient Historian Diodorus Siculus Osiris was killed as a result of a Conspiracy involving his brother Set, the Queen of Ethiopia (Sheba/Shiva), and seventy-two other conspirators part of the Titans , the Fallen Angels. In a later stage Horus, the Sun of Osiris and Isis revenged his father and took back the Power.

This started a Continuing Conflict between the Members of the Falcon Tribe (also called the Annunaki) that is going on until today.

The person that introduced Religion and Culture to Britain was the Druid Hesus also called Hu, the Celestial Sphinx. Hu was just like Osiris crucified and his soul survived Death.

In the Druid religion Hesus/Hu was fathered by God and born of a Virgin Mother, Mayence.

Mayence was a representation of the twelve stars of the Constellation of Coma Berenices, Berenice’s Hair. Coma Berenices lies within the zodiac sign of Virgo, the Virgin, which is traditionally associated with Isis of Ancient Egypt, Ishtar of Ancient Babylon, Mayence of the Druids and the Virgin Mary. Berenice’s Hair was the Star that was used by the Magi to find the newborn Messiah.

And there appeared a great sign in the sky – a woman clothed with the sun, and the moon under her feet, and upon her head a garland of twelve stars. And she, being with child, cried, travailing in birth, and pained to deliver… And she brought forth a male child, who was to rule all nations with a rod of iron, and her child was caught up unto God and his throne.” (Revelations 12:1).

The Druids stated that they were once the Priests of  De Dan (Anu, Danu), a great nation spread almost over the whole earth from India to the extremities of Britain.  The center of this big nation was situated in Ethiopia also called Ta-Netjer by the Ancient Egyptians, the Land of the Ancient Gods.

This is the reason why one of the most important Druids was called the Merlin (“Black Bird”), the Black Man. It was a very great honor to be appointed to the position of Black Man, for the successful candidate had to be extremely adept in the esoteric sciences, especially the art of rainmaking. The Art of the Black Man Merlin became of vital importance when the Rain stopped in the Green Sahara.

The Indian epic, The Ramayana tells us that Eastern Aethiopeans lived in northern Africa. They were mighty builders. Their leader, Ravana, was called “King of the Giants“. He  founded ancient Egypt, and may even have built the oldest of the pyramids and other temples.

Narmer’s Pallette in Egypt (3200 BC) and a wall panel No.3 of the temple O-13 at Piedras Negras in Guatemala (Maya civilization) depict stories similar to those in the Ramayana.

Me-Sin was the first Pharao who united Egypt. He is represented as the God with the Upraised Arm. The ‘God with the Upraised Arm’ was present in many cultures and across a wide timeframe in the Near East. The gods Teshub, Adad, Baal all had similar appearances and mythological contexts.

A common motif in the depiction of all of these is the upraised arm wielding a mace or lightning. The Thunderbolt could be the ancient symbol of the Comet that almost hit the Earth.

When you want to navigate on earth you need a map. To create a world-wide navigation system the ancient scientists first designed a powerful narrative that could be remembered easily and therefore could be transmitted from generation to generation.

The basic structure of this narrative can still be found in the Medicine Wheels of the Ancient Hunter Gatherers. The ancient Medicine Wheels were connected to the Moon Cycle, the Cycle of the Mother Goddess.

To Rule the Earth Me-Sin changed the Female Narrative of the Triple Goddess of the Moon of the Hunter Gatherers into the Male Narritive of the Sun and the Planters.

The Story of the Cooperation with Mother Nature in the Garden of Eden was transformed into the Story of his Cruel Father Sky, Anu, who moved the Humans Out the Garden.

Me-Sin implemented a Religious System based on his own Rules.

The narrative of the Sky had to be a “rotating” cyclic narrative because the sky was in constant cyclic motion. Ancient tradition states that heavenly locations had earthly counterparts (“As Above, so Below”).

The next step was to project this Narrative on the Sky using highly visible stars as a connection point. In the last step the Sky was projected unto Earth again.

Megaliths (“giant standing stones“, “menhirs“) and related constructions such as cairns and dolmens (chambers of stone), tumuli and barrows (ancient earthworks) and henges and circles were built by ancient man for purposes of Astronomy and Geodetics.

Anyone having knowledge of the heavenly stars could thus find his way around on Earth by means of the megaliths, which served both as boundaries and landmarks.

Many megaliths are carved with reliefs of interlocking figures (smaller figures drawn within larger figures) which identify the stars to which stones are oriented.

Many standing stones have cupmarks or less formal indentations or holes on them marking the stars or stellar constellations which they represent.

Additional markings on some stones identify parameters such as ecliptic, celestial equator, circle of precession, center of heaven (north ecliptic pole, south ecliptic pole), north pole star, south pole star, cord of the fish, Milky Way and solstice and equinox points. Many cairns or quoits are in the shape of the star groups they represent.

Megalithic boundaries mark both small and large geographic areas. For example, Counties in Scotland still retain elements of the approximate size, shape, and location of their comparable stellar constellations, located on earth by megaliths. Perthshire in Scotland e.g. retains the name PERSeus in PERTH. The Seven Churces of Asia are oriented to the Seven Stars of the Pleiades.

The shape of many stones shows the appropriate part of the heavens explicitly. Ancient earthworks also served astronomical purposes. Tumuli and barrows mark specific stars or nebulae.  Earthwork mounds may form the shape of a celestial object, e.g. the Large Magellanic Cloud.

Geographic locations of megaliths were intentionally oriented to the stars and to objects of the heavens in a given era. For Neolithic sites, the cardinal date seems to be the Winter Solstice in 3117 BC.

The circumference of the earth varies because the Noble and Beautiful Planet is Egg  shaped. The distance is different depending on where one makes a measurement.

When we measure the Earth in Egypt the number 26.400 miles appears which is the Amount of Years the Precession of the Equinox takes.  A mile in distance upon the earth equals one year of precession, and one degree of distance on the earth, a 360th part of the circumference equals 72 years of Precession of Equinox.

The ancient Scientists not only created a highly advanced Navigation System and a Calendar,  they also Mapped this System to a Metric System of Earth. This System was just like the Calendar and the Navigation System implemented all over the world.  To Rule efficiently you have to Standardize.

The ancient Scientists observed many Cycles and detected the relationship between the Cycles and the Numbers. With help of the knowledge of the Cycles they could predict the Future (Kronos). To Rule the World you have anticipate the Future.

One of most important Cycles is called the Etanic Cycle. In a 780 year period the earth wobbles above the equator to a max of (4) degrees, then wobbles back below the equator to a max of (4) degrees. The full cycle take 1560 years. The 1560 year wobble can be broken down into the four quadrants of 390 years, and to the Mayan Calendar eighth part of 130 years.

The constant movement by Earth above and below the equator shifts the exposure of different areas of the planet to annual sun light. It also generates a lot of Tectonic Stress (Earth Quakes Storms) from the planet’s core to its surface.

The Etanic Cycle has a huge influence on the Climate. Climate changes shift populations of humans and herds all around the Globe. To Rule the World you have to know when the Big Troubles are Coming.

The year 3117 BC was a special year not only because of the special alignment of Sun and Earth. There are 5280 Feet to the Mile. This number is 0ne fifth of the duration of the Precession Cycle. The periodicity of the well-known Economic Kondratiev Cycle is 5280/100=52,8 years.

The number Five is a very important number. It is the number of the Pentangle and the Quintessence (Chi, Ether, Prana). Five is the Number of the Center as can be shown by the Ancient Chinese Lo Shu Magic Square.

The Ancient Scientists divided the Precession Cycle into Five Stages. The Stage that started at 3117 BC was the last Phase before a new Golden Age would start. It was the Fifth Age of the Precession.

The combination of the Precession Cycle and the Pentangle shows Five Points of Intersection making an angle of 144 Degrees.  The intersection with the Bull is related to  the Great Deluge.

The next Big One, The Seven Seals of the Apocalyps,  will happen in our Time when the Precession Cycle moves into Aquila, the Sign of John the Evangelist who wrote the Revelations.

And I looked, and, lo, a Lamb stood on the mount Zion, and with him an hundred forty and four thousand, having his Father’s name written in their foreheads ” (Revelation 14:1).”And they sung as it were a new song before the throne, and before the beasts, and the elders: and no man could learn that song but the hundred and forty four thousand, which were redeemed from the earth” (Revelation 14:3).

3117 BC was the start of our Human Civilization. It was the time of the Establishment of the Old Kingdom, the first Writing in Sumeria, and the first Stellar Observation Systems. The Hindu Kali Yuga (‘The Dark Age“) begins at this time as well.

The Kali-Yuga is  the Darkest Age of the Five Stages of the Precession. It is the Stage in which the Humans are at a Maximum Distance from their Creator.

It is the Age of the Falcon Tribe, of Conflicts, Power Plays, a Religious System controlled by the Elite, Sexual Abuse of Women and Children, Extreme Violence, War, Manipulation of the Masses and the Destruction of Mother Earth. It is the Age of the God of Revenge who lost every contact with the God of Love.

The End of the Mayan Calendar and the End of Indian Kali-Yuga will be a Very Special Time, a Rare Conjunction of Many Short Term and Long term Cycles.

The Cycles of the Anunnaki are there to keep us trapped in the Matrix. The New Beginning of the Golden Age will give Us the Opportunity to Leave the Wheel of Fortune to connect with the Power that is behind the Veil, the Void.

This is possible because the new Golden Age will be a very Special Golden Age. It will be the Age of the Seventh Seal of the Zodiac, Aquarius and the Opening of the Trumpet of the Seventh Chakra, the Pineal Gland, the Third Eye of Horus.

The Expansion of Space and therefore the Expansion of the Spiral of Time has finished. We are now, for the first time in the Cycle of Creation of our Universe on our Way Back to the Creator Consciousness,  that was so Far Away when the Age of Darkness started.

LINKS

The information about the Megaliths was copied from Megaliths.net

About the Comet that crashed into the Sea

About Nimrod

About So Above, So Below

About Hu

About the History of the Astrological Narrative

More data about the Great Flood of 3117 BC

More data about the Great Flood of 3117 BC

About the First Pharao’s of Egypt

About Astrology and the Bible

About Old Fashioned Thinking

Many thousands of years ago human life was a far different experience to that which we enjoy today. Life for our ancient forefathers was a mixture of wonder and fear.

The interesting point to notice is that the human body has not changed since the old days. The things that have changed are our environment and our language.

We see objects our ancestors could not see and therefore we talk about concepts our ancestors were not aware of.

Although our concepts have changed the way we think has not changed.

Thinking is a bodily process. Our muscles talk and our brain processes a huge amount of data.

Current science is able to look into the living body to observe the process of thinking. Scientists think that thinking has a lot to do with seeing. A picture paints a thousand words when the objects (nouns) and the relations (verbs) between the objects are named.

Our ancient ancestors saw other ancestors, animals, rivers, mountains, trees, plants, stars, the sun and the moon. Nature was all around them and Nature was the source of their reasoning.

When you look at nature for a long time you come aware of all kinds of patterns. The Sun rises and disappears every day. The Moon shows itself in the same stages. The plants and the animals act according to these patterns. Observing Nature during day and night generates a theory of Nature and because Nature is cyclic the ancient theory of nature was a cyclic theory.

Our ancestors observed short and long term cycles with their eyes and created a theory of everything just like the current scientists are trying to do.

The human has not changed and his ability to define and verify a theory has not changed also.

In our time we have developed highly advanced instruments to probe in the big and the small structures of Nature. We are able to look at the beginning of the Universe and we are able to look at the very small structures of Matter.

Just like our ancient ancestors we use the data of our new eyes, the instruments, to formulate a theory. The big question is if our theory looks a lot different from the theory of our ancestors.

The images our eyes detect are interpreted by the rest of our body. Sometimes we look with our Imagination (Daydreaming, Fantasy). Sometimes we look with our Emotions. We love or dislike what we see.  Sometimes we look with our Expectation and see what we want to see  (Verification) or don’t want to see (Falsification). The objective instruments of science project our subjective theory, our belief-system, upon our reality.

Many people would say that we have advanced in our knowledge of our reality. They believe history is a progressive process. It always moves up because we are learning all the time.

Our ancestors would say that history is a cyclic process. It moves Up and Down. Civilizations rise and disappear. History repeats itself all the time.

The proof of their theory is visible everywhere we go but we ignore the evidence. We, the Western people, believe our civilization will stay for ever because our supreme technology is able to solve every problem we will encounter.

The ancient people used different symbols, concepts and names to describe what they observed. We, the Western people, don’t spend much time to understand their theory because our theory of history proves that it is a waste of time to look back and learn from their experience and their comparable thinking process.

The most advanced theory of Physics is called String Theory. It was based on the so called Beta Function of Euler which describes the behavior of the string of a violin. The people that started the quest for the ultimate theory of physics highly believed in the harmony of the spheres, a concept promoted by the ancient scientist Pythagoras. Pythagoras was educated at the university of Heliopolis in Egypt.

Interesting enough the most promising variant of String Theory is called Loop Theory. It supposes that strings make close loops around flat surfaces called Branes. Just like our ancestors the creators of String Theory strongly believe in the concept of the closed cycle and there is a reason for this.

The simple reason is that you have to close our Universe somewhere. Our Universe is very big but there is a horizon, an end of the Universe, which is expanding into the nothing.

The smallest particles we can imagine also have a boundary and this boundary is closing the particle. Closing a system needs something that is closed in itself, a circle, a cycle or every other concept that returns in itself.

One of the most important ancient concepts of closure is the Ouroboros. It represents a snake that is eating itself. If you imagine the eating snake you will see that this snake compresses itself into a point and finally disappears into the nothing.

The modern mathematical term for the ultimate vanishing point is a Singularity, a hole in space and time, sometimes called a black hole.

A black hole is really the entrance to the singularity. It attracts matter in our space while the white hole ejects matter in a different space. The Ouroboros disappears but comes back in another world and starts to expand again. Modern theory supposes that our Universe has expanded out of the Singularity and will move back into this singularity, just like the concept of the Ouroboros is showing.

The ancient concepts are not of our days but they describe the same theory in a completely different way because the old scientists where using Nature as the Source of their concepts.

If the old scientists came with a comparable theory using different terms the big question is how they did it. They could not use the Large Hadron Collider to observe the small and the Hubble Telescope to observe the big. Their only instrument was the eye.

Mythic
As Above, So Below

The ancient scientists used the rule “As Above, So Below” to make things easy for them.

If the old scientists would be asked to explain this statement in our terminology they would certainly make use of the concept of recursion. Recursion shows itself in the Russian dolls that contain dolls that contain dolls. The ancient scientist believed that the same rules repeat on every level of the Universe.

They also believed that every system is closed in itself. The Big Structures are connected to the Small Structures.

The point of positive Infinity is connected to the point of negative Infinity. The Up, the Down, Forwards and Backwards move around in a pattern called the Moebius Ring (the Symbol of Inifinity). In higher dimensional space this pattern transforms into the Klein Bottle, the basic structure behind Alchemy.

If you understand one level you understand every level.

In 1982, Benoît B. Mandelbrot formulated the same theory in his book The Fractal Geometry of Nature. In this book he coined the term “fractal” to name his recursive structures. At this moment many important physicists are convinced we live in a fractal universe.

The theory of the fractal universe implies that when you observe carefully with the human eye on our level of existence you are able to formulate a theory about every level of the Universe.

The old scientists went a little bit further and stated that our Inner Universe is also an expression of the Outer Universe (“As Within, So Without”). They united physics and psychology in one Theory of Everything.

Carl Gustav Jung (1875-1961) was a follower of the famous Sigmund Freud until he met Wolfgang Ernst Pauli (1900-1951). Wolfgang Pauli was a genius and devoted much of his time to Physics. In 1945 he received the Nobel Price for Physics. At that time Albert Einstein called him his intellectual successor.

Wolfgang Pauli started to visit Carl Jung around 1930. At that time his life was in a terrible mess and Jung started to analyze his dreams just like Sigmund Freud had told him to do.

The Dream of the World Clock
The Dream of the World Clock

Jung detected many ancient themes in the dreams of Pauli. One of the most famous dreams of Pauli is the dream of the World Clock”. This dream is a modern version of the dream of Ezekiel and the Tetramorph.

The dreams of Pauli were highly related to the hermetic alchemists of the Renaissance (John Dee, Robert Fludd, Paracelcus).  The alchemists based their theories on the Ancient Egyptian Knowledge of Heliopolis.

Pauli and Jung started a life long collaboration to explore the bridge between the Inner World of Psychology and the Outer World of Physics.

Jung was also highly interested in what was called the Pauli Effect. Wolfgang Pauli’s life was full of strange and meaningful occurrences of Telekinesis. Objects in the surroundings of Pauli started to lift without any physical explanation.

Finally Jung and Pauli were convinced that the Dream World, the Unconsciousness, was the primal source of inspiration. They also believed that this highly unknown part of the inner world of the human being was able to affect the outer world by producing meaningful signs. The telekinetic effects of Pauli were created by his own Unconsciousness.

They even believed that the force behind human creativity, Spirit, created and sustained the outside material world of our senses.

Pauli was one of the creators of a weird theory called Quantum Mechanics. The predictions of this theory were verified with the instruments of science and proved to be right all the time. The theory was weird because it detected a strange duality in physical reality. Light showed itself as a particle and a wave at the same time.

To explain this duality scientists moved far back in history and adopted the ancient Yin/Yang-concept as an explanation. This concept describes a constant cyclic movement of the Universe between two opposites, called Female and Male. When the two opposites are combined they are voided into Nothing. The three parts, Male, Female and the Void were called the Trinity.

The scientists of Quantum Mechanics proved that it was possible to influence this duality by the human mind of the observer when the two complementary parts of the mind unite and are voided. This happens when the human meditates or moves into trance.

In the meditative or trance state the brain resonates and entangels, becomes One, with the Electro-Magnetic Waves of Mother Earth, the Shumann Resonance, and the Waves of Life of the Universe.

In the strange terminology of Quantum Mechanics this state is called a Quantum Superposition and the union of the waves is called Quantum Entanglement. Quantum Entanglement moves with a speed much higher than the Speed of Light.

Sometimes the fragmented Tones of the Universe unite into one Symphony when the Strings of the many Violins are in Tune. Pythagoras, trained in ancient Heliopolis, explained the same thing a long time ago.

To explain Quantum Mechanics the scientists had to assume that our Universe is not the only Universe that is in existence. To solve the paradoxes they created the concept of the Parallel Universes. The only bridge between these universes is the Hole in Time/Space, the Singularity, which was there before the Duality came into existence.

HeartChakra
The Symbol of the Heart

The old scientists agreed on the number of seven parallel Universes. They are a combination of two Trinities, the upside Triangle of the Spirit and the downside Triangle of the Material World.

They called these Universes Heavens and Hells with our Universe, the Universe of the Heart,  in the Middle.

They believed that the Shaman could travel between these universes in Space and Time with the help of his Light Body.

They also believed that the Human Soul, the Light Body, travels these universes in between the time of reincarnation.

In our Western World the Great Spirit of Creation is something many people consider a very old fashioned concept. The funny thing is that at this moment the new scientists introduce the same concepts the ancient scientists were using but with a different name. The modern Material Universe and the old fashioned Spiritual Universe are merging. The only thing we don’t want to accept is that the source of our creation could be a conscious being.

The discussion about Human Consciousness is a very complex discussion. The main reason is that scientists don’t agree about the concept itself.

Consciousness is often confused with Intelligence. Intelligence is the ability to be creative, to find simple solutions for complex problems. Consciousness is the ability to be aware of your own actions. We need our Consciousness to learn from our mistakes. We need our Intelligence to create new solutions to make new mistakes to start learning again.

Most people believe that Humans are the only organisms on earth that are Intelligent and Conscious. They accept the possibility that somewhere in our huge universe a comparable situation exist where extraterrestrials live. This possibility increases with the day because our highly advanced instruments are now able to detect comparable planets orbiting comparable suns in the galaxy.

The big problem is still the speed of light. According to the relativity theory of Einstein this speed is the maximum speed to travel space. Our possible companions in the universe are so far away that will be impossible to communicate with them.

Our advanced science is solving this problem too. At this moment scientists believe that the singularity now called a wormhole could make it possible to shorten the distance in space. If they are right space/time-travel will be soon a fact of life.

Some people believe animals are Intelligent and Conscious. They feel that their cat or dog or horse looks and acts a lot like the human being. Because of this believe they treat their pets just like human beings.

Scientists are already able to construct artificial humans and pets.  They are convinced it will not take a long time to produce artificial human beings that are not distinguishable from the normal human being.

Scientists are desperately trying to define a difference between a conscious and intelligent machine and a conscious and intelligent human being and they are not succeeding at all. Soon they have to admit that their experiments with artificial life show that consciousness and intelligence are the properties of a fractal system.

The old scientists already believed that our universe is a highly intelligent conscious fractal machine put in motion by a creator to experience all the possibilities of his own potential. The creation machine, the Matrix, gave the creator the opportunity to experience itself, to become fully conscious.

We, the Humans, are an enfolding of the Creator into a deeper level of existence. We are not created by his image we are in his image. If we look deep in the mirror of ourselves we are able to see the creator.

The old scientists even believed they had broken the code of the software of the creation machine and therefore could become an immortal being, the creator of a new parallel universe, themselves.

Consciousness is created when the self encounters the self by a short or a long feed-back loop.

If this is true the Cycles are there to become aware of the machine and to break the code of the software of the machine to become a fully creative entity. When the self encounters and accepts the mirror of the self they merge into the nothing, the state of the Universe before the singularity came into existence.

The Mystery
The Mystery

The ancient scientists did not believe that the state of the Nothing was not existent. They believed that the primal state of creation was pure potential. It was a highly fluctuating state called the zero-point-field by our scientists and the Mystery by the old scientists. The zero-point-field generates everything that is possible.

It produces mysteries, things we cannot imagine, because we as parts of the enfolding are unable to imagine every thing that could exist. Our bodily pattern recognizer, the Brain, is not capable of doing this. Imagining every thing would turn our brain into a state of pure madness.

Madness and sickness is a state of the body ancient and modern humans have experienced through history. This state has many names in our current highly specialized society. The old scientists believed that Spirit was able to help people to become sane and healthy again.

They believed in independent conscious beings with a positive and a negative attitude. The Trinity and its many enfoldings on different levels (Archangels, Angels) could be asked to erase the negative powers to let the love of the Spirit heal the body and the soul.

The ancient scientists named the force that heals the Force of Life. They believed in four other forces called the Four Elements (Air, Fire, Earth and Water) with the Force of Life, the Void, in the Center.

The first two Forces, Male and Female, are part of the first Trinity, the Spiritual World. Male and not-Male are voided in the Void. They are opposites just like expanding space, Gravity (Fire, Heaven) and not-expanding, compressing, space, the Strong Nuclear Force (Earth). Its main job is to hold together the subatomic particles of the kernel of the Atom. In the beginning God, the Void, created the Heavens and the Earth.

On the second level of Enfolding of the Trinity, the Material World, four combinations of Male and Female are possible. Two of them (Male/Male = Male, Gravity, Female/Female = Female, the Strong Force), are part of the Spiritual World and repeat their existence in the Material World.

The two other forces, the Electro Magnetic Force (“Let there be light”) of Life and the Weak Force (Radioactive Decay, Darkness) of Death are a mixture of both Male and Female and are therefore oscillating forces. They are compressing and expanding and therefore look like waves (Water and Air). These forces are also voided in the Void which shows that the potential of the Void, the Force of Life, is available at every level of existence.

The ancient system of Physics was a highly logical, mathematical system just like our current theory of Physics is. It contained just two concepts expansion (Female) and compression (Male) and showed that the spiraling vortex of creation was a repeating combination of the Expansion of just two simple dynamic concepts that were in a balance all the time. They knew that in the end everything would be Compressed to return to the Mysteriouss creator, the Void, the State of Infinite Potential.

The ancient scientists used the terminology of Nature to explain their theory to the masses. They also used highly abstract geometric theories to calculate the movements of the levels of the fractal universe. These theories were only available for the initiates of their secret societies.

The main reason was that they were afraid of misuse of the power of their knowledge. Science was not only related to the game of invention but it was also a state of mind. Ethics, Physics, Art and Religion were expressions of the same fractal structure of the Universe, that originated out of the Love, the Attraction of the Void,  the First Creator, for his own Mirrors.

The force that heals is still there and science is again on the verge of the rediscovery of ancient practises. The weird science of Quantum Mechanics proved the power of the mind and the force of life returned when the Mystery of the Void was transformed into the zero-point-field.

The power of the mind explains the placebo-effect feared by scientists who want to cure the body with chemical structures that exist on a very low level of the enfolding of the fractal universe. The pharmaceutical industry is using conscious entities (chemical forces) with little power while the powerful forces of the Archangels are still there.

The believe of the scientists in the healing power of nature itself has disappeared. They wanted to beat Nature with brains that are part of Nature itself. They wanted to beat their selves instead of uniting the male and female parts of their brains to become whole again.

This blog is a chapter of a new book I am writing together with Steven Strong about the ancient knowledge of the Aboriginals. According to their stories one part of humanity decided a long time ago to stay close to nature.

In the dreamstate they saw the consequences of the steady increase of dominance of technology when the humans would start with agriculture. They believed Nature would take care of them when they lived according to the Dreaming. I think they were right.

The move from hunter/gatherer to farmer produced the advanced civilizations of the World. Everyone of these civilizations did not survive the strange behaviors of Mother Nature, the Trickster, also called the Demiurg, represented by the Raven in the World Clock of Pauli.

I also think they forgot one thing. They forgot that the Cycles of the Wheel of Fortune of the Matrix we live in are a Machine that moves Back and Forth. It move far away from the Void into the Darkness to return back into the Light of the Mysterie.

The ancient scientists could calculate the short and long cycles of history and predicted a new Golden Age. They incorporated the predictions in their stories, buildings and artifacts. They knew that their scientific ancestors would try to explain their weird theories.

They knew that one day ancient science and modern science would converge because the cycles predicted that.

They knew that independent minds would return in every step of the cycle to repeat the same story again and again with different words and different concepts. They knew that history repeats itself all the time.

The only thing that is left for us is to take the consequences of our current understanding of our Universe.

Do we want to fight Nature with our technology until Nature fights back to create a new balance or do we want to return to the old knowledge of the Aboriginals and start again to cooperate with our Mother Earth.

The choice is yours.

LINKS

About the Matrix

About the Body Field

About the Golden Age

About Morphology or How Alan Turing Made the Dream of Goethe Come True. (17-11-2009)

The Ancient Greeks believed that the images of waking life and dreams came from the same source, Morpheus (Μορφέας, Μορφεύς), “He who Shapes“.

The Science of the Shapes, Morphology, was created and named by Goethe in his botanical writings (“Zur Morphologie“, 1817).

Goethe used comparative anatomical methods, to discover a primal plant form that would contain all the others-the Urpflanze. Goethe being a Romantic Idealist hoped that Morphology would Unify Science and Art.

“The Primal Plant is going to be the strangest creature in the world, which Nature herself shall envy me. With this model and the key to it, it will be possible to go on forever inventing plants and know that their existence is logical”. Nature always plays, and from which she produces her great variety. Had I the time in this brief span of life I am confident I could extend it to all the realms of Nature – the whole realm“.

Hundred years later in the 1920s Goethe’s dream came true. Morphology moved outside Biology to other parts of Science due to the works of D’Arcy Thompson’s On Growth and Form, Oswald Spengler Morphology of History, Carol O. Sauer Morphology of Landscape, Vladimir Propp, Morphology of the Folktale and Alfred North Whitehead Process and Reality.

Goethe observed nature and reflected on similar structures. He believed that there was something behind this similarity, an archetypal plant.

According to Goethe the archetypal plant was the leaf (“While walking in the Public Gardens of Palermo it came to me in a flash that in the organ of the plant which we are accustomed to call the leaf lies the true Proteus who can hide or reveal himself in all vegetal forms. From first to last the plant is nothing but leaf“).

At this moment scientists know the reason why the leaf is the most important structure of the plant. It is a solar collector full of photosynthetic cells.

The energy of the sun provides the energy to transform water from the roots gathered by the leafs and carbon dioxide out of the air also gathered by the leafs, into sugar and oxygen. Plants are structures with many leaves. These leafs shield other leafs from collecting sunlight and water.

To solve this problem a plant has to optimize its structure to collect enough Sunlight and Water. The process of Optimization is not a Central Coordinated action. Every leaf tries to find the best place in the Sun on its own. This place determinates the growth of the next level of branches and leafs.

Goethe observed a pattern and deduced a structure, the leaf, the Uhrplanze. What Goethe really observed was not a Static Uhrplant but the Dynamic Process of the Branching of all kinds of leaves in all kinds of plants (Morpho-Genesis).

The leafs of the plants are not the main target of the morphogenesis of the plant. The visible External and the invisible Internal Forms or Organs are one of the many solutions of an equation with many variables and constraints. The optimal solution is reached by experimenting (“Nature always plays”).

Many solutions fail but some survive (Evolution of the Fittest). When a solution survives it is used as a Foundation to find new rules for more specific problems (Specialization). When the environment, the context, changes old rules have to be replaced by new rules (a Paradigm Shift).

New mathematical paradigms in the field of the Machines and Languages (Alan Turing, The Chemical Basis of Morphogenesis) and the Self-Referencial Geometry of Nature (Benoît Mandelbrot, The Fractal Geometry of Nature) have stimulated further investigation in the Field of Morphology.

In 1931, in a monograph entitled On Formally Undecidable Propositions of Principia Mathematica and Related Systems Gödel proved that it is impossible to define a theory that is both Self-Consistent and Complete. The paper of Gödel destroyed the ambitions of the Mathematicians at that time to define one theory that explains everything.

In 1936 Alan Turing produced a paper entitled On Computable Numbers. In this paper Alan Turing defined a Universal Machine now called a Turing Machine. A Turing machine contains an infinite tape that can move backwards and forwards and a reading/writing device that changes the tape. The Turing Machine represents every Theory we can Imagine.

Turing proved that the kinds of questions the machine can not solve are about its own Performance. The machine is Unable to Reflect about Itself. It needs another independent machine, an Observer or Monitor to do this.

It can be proved that Turing proved the so called Incompleteness Theorem and the Undecidability Theorem of Gödel in a very simple way.

In 1943 Turing helped to Crack the Codes of the Germans in the Second World War. At that time the first computers were build (Eniac, Collossus).

It was very difficult to Program a Computer. This problem was solved when Noam Chomsky defined the Theory of Formal Grammars in 1955 (The Logical Structure of Linguistic Theory).

When you want to define a Language you need two things, an Alphabet of symbols and Rules. The symbols are the End-Nodes (Terminals) of the Network of Possibilities that is produced when the Rules (Non-Terminals) are Applied. The Alphabet and the (Production- or Rewriting) rules are called a Formal Grammar.

If the Alphabet contains an “a” and a “p” the rules S→AAP, A→”a” and P→”p” produce the result “aap”. Of course this system can be replaced by the simple rule S→”aap”. The output becomes an infinite string when one of the rules contains a Self-Reference. The rules A→a and S→AS produce an Infinity String of “a’-s (“aaaaaaaaaaaaaaaaaa….”).

The system becomes more complicated when we put terminals and rules (non-terminals) on the Left Side. The System S→aBSc, S→abc, Ba→aB and Bb→bb produces strings like, “abc”, “aabbcc” and “aaabbbccc”. In fact it produces all the strings a**n/b**n/c**n with n>0.

The inventor of the theory of Formal Grammar, Chomsky, defined a Hierarchy of Languages. The most complex languages in his hierarchy are called Context-Dependent and Unrestricted. They represent complex networks of nodes.

A language where the left-hand side of each production rule consists of only a single nonterminal symbol is called a Context Free language. Context Free Languages are used to define Computer Languages. Context Free Languages are defined by a hierarchical structure of nodes. Human Languages are dependent on the context of the words that are spoken.

It is therefore impossible to describe a Human Language, Organisms, Organisations and Life Itself with a Context Free Computer Language.

Context Free Systems with very simple rule-systems produce natural and mathematical structures. The System A → AB, B → A models the Growth of Algae and the Fibonacci Numbers.

A Recognizer or Parser determinates if the output of a formal grammar is produced by the grammar. Parsers are used to check and translate a Program written in a Formal (Context Free) Language to the level of the Operating System of the Computer.

Regular and Context Free Grammars are easily recognized because the process of parsing is linear (causal, step by step). The stucture of the language is a hierarchy.

The recognizer (now called a Push-Down Machine) needs a small memory to keep the books.

Context Dependent (L-systems) and Unrestricted Grammars are difficult to recognize or are not recognizable in practice because the parser needs a huge sometimes Infinite Memory or Infinite Time to complete its task.

To find the Context the Recognizer has to jump backwards and forwards through the infinite string to detect the pattern.

If the network loops the recognizer will Never Stop (“The Halting Problem“).

Turing proved that the Halting Problem is Undecidable. We will Never Know for Sure if an Unrestricted Grammar contains Loops.

The Rules and the Output of Unrestricted Grammars Change and never stop Changing. Our Reality is certainly Context Dependent and perhaps Unrestricted.

Parsing or Recognizing looks like (is similar with) the process of Scientific Discovery. A theory, a Grammar of a Context-Free Systems (“aaaaaaaaaaa…”) is recognizable (testable) in Finite Time with a Finite Memory. Theories that are Context Dependent or Unrestricted cannot be proved although the Output of the Theory generates Our Observation of Nature. In this case we have to trust Practice and not Theory.

In 2002 the Mathematician Stephen Wolfram wrote the book A New Kind of Science.

In this book he tells about his long term Experiments with his own Mathematical Program Mathematica. Wolfram defined a System to Generate and Experiment with Cellular Automata.

Wolfram believes that the Science of the Future will be based on Trial and Error using Theory Generators (Genetic Algorithms). The big problem with Genetic Algorithms is that they generate patterns we are unable to understand. We cannot  find Metaphors and Words to describe the Patterns in our Language System.

This problem was adressed by the famous Mathematician Leibniz who called this the Principle of Sufficient Reason.

Leibniz believed that our Universe was based on Simple Understandable Rules that are capable of generating Highly Complex Systems.

It is now very clear that the Self-Referencial Structures, the Fractals, of Mandelbrot are the solution of this problem.

The Scientific Quest at this moment is to find the most simple Fractal Structure that is capable of explaining the Complexity of our Universe. It looks like this fractal has a lot to do with the Number 3.

It is sometimes impossible to define a structured process to recognize (to prove) a Grammar. Therefore it is impossible to detect the rules of Mother Nature by a Structured process. The rules of Mother Nature are detected by Chance just like Goethe discovered the Uhrplanze. Science looks a lot like (is similar with) Mother Nature Herself.

When a Grammar is detected it is possible to use this grammar as a Foundation to find new solutions for more specific problems (Specialization, Add More Rules) or when the system is not able to respond to its environment it has to Change the Rules (a Paradigm Shift). All the time the result of the System has to be compared with Mother Nature herself (Recognizing, Testing, Verification).

Turing proved that if Nature is equivalent to a Turing machine we, as parts of this machine, can not generate a complete description of its functioning.

In other words, a Turing machine, A Scientific Theory, can be a very useful tool to help humans design another, improved Turing Machine, A new Theory, but it is not capable of doing so on its own – A Scientific Theory, A System, can not answer Questions about Itself.

The solution to this problem is to Cooperate. Two or more (Human) Machines, A Group, are able to Reflect on the Other. When the new solution is found the members of the Group have to Adopt to the new solution to move on to a New Level of Understanding and drop their own Egoistic Theory.

Each of the individuals has to alter its Own Self and Adapt it to that of the Group. It is proved that Bacteria use this Strategy and are therefore unbeatable by our tactics to destroy them.

Turing proved that Intelligence requires Learning, which in turn requires the Human Machine to have sufficient Flexibility, including Self Alteration capabilities. It is further implied that the (Human) Machine should have the Freedom to make Mistakes.

Perfect Human Machines will never Detect the Patterns of Nature because they get Stuck in their Own Theory of Life.

The Only ONE who is able to Reflect on the Morphogenesis of Mother Nature is the Creator of the Creator of Mother Nature, The Void.

Gregory Chaitin used the theory of Chomsky and proved that we will never be able to understand  The Void.

The Void is beyond our Limits of Reason. Therefore the first step in Creation will always be  a Mystery.

At the end of his life (he commited suicide) Alan Turing started to investigate Morphology.

As you can see the Patterns of Alan Turing are created by combining many Triangels. The Triangel is called the Trinity in Ancient Sciences.

According to the Tao Tse King, “The Tao produced One; One produced Two; Two produced Three; Three produced All things”, which means that the Trinity is the Basic Fractal Pattern of the Universe.

In modern Science this pattern is called the Bronze Mean.

It generates so called Quasi Crystals and the Famous Penrose Tilings.

The Bronze Mean is represented by the Ancient Structure of the Sri Yantra (“Devine Machine”).

Goethe was not the real discoverer of Morphology. The knowledge was already there 8000 years ago.

LINKS

About the Observer and Second Order Cybernetics

A PDF About the Morphology of Music.

The origins of life and context-dependent languages

A Website About the Morphology of Botanic Systems

A Website About the Morphology of Architectural Systems

A Plant Simulator using Morphology

About Intelligent Design

The Mathematical Proof of Gödel of the Existence of God

About Bacteria 

About the Trinity

About the Logic of Creation

The Way the Universe was Created has generated an ongoing discussion for more than 6000 years. In this Blog I give you a way to solve this problem with the use of Logic.

When we use Logic you will see that the concept of Creation out of Nothing leads to a Strange Contradiction.

This Contradiction looks a lot like the Zero-Point-Field of Quantum Mechanics.

The theory of Quantum Mechanics is a Statistical Theory. Statistical Theories are an approximation of a Theory.

Behind this approximation lies a hidden structure called the Tree of Life. The Tree of Life is an expansion of the first Creation, the split of the Void.

Perhaps the most important conclusion of this blog is that what most people call the Spiritual World is really the Material World which can be explained by Mathematics and Physics.

The only part of our Universe that is truly Spiritual and is without any Duality lies outside our Universe. This Part, The Void,  prevents Our Universe for Total Annihilation.

To describe the process of Creation out of Nothing we have to define the Void (Ø) and the Whole (○). The Void is the Empty Set. The Empty Set is a Set with Zero Members. An example is the Set of months with more than 31 days. In this case the Empty Set is the result of an impossible selection.

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.

The empty set is not the same thing as nothing. It is a set with nothing inside it. In Logic there is no concept that describes “nothing”. We have to assume that there was something in the Beginning and that something is the Empty Set.

The Empty Set contains everything that is impossible.

In the Beginning an impossible selection was not possible because there was nothing to select from. This means that in the Beginning the Empty Set was the only Set in the Universe.

In the beginning the only thing that was possible was the impossible.

The Void is the Opposite of the Whole. To define the Void and the Whole we have to make use of a Distinction.

A Distinction is something that divides a Set into Two parts, X and its Opposite not-X (Yin/Yang).

A Set  that is divided into Two Parts Suddenly contains Four parts A, not-A, the Division and the Set itself (the Whole): Yin, Yang, Yin AND Yang (Division), Yin OR Yang (Whole).

The Tao produced One; One produced Two; Two produced Three; Three produced All things (Lao Tsu, Tao Te Ching, 42).

X and not-X have only the Void in common. When we bring the two sets together they become Nothing just like the combination of Matter and Anti-Matter results in the Annihilation of Both Parts and the production of a Photon (“Light”) and Kinetic Energy (Movement). To avoid annihilation Matter and Anti-Matter have to Stay Apart.

When you Fuse the two parts X and not-X the Whole appears again. In the Beginning there was Nothing to Fuse and the commonality of the Empty Set with its Opposite, the Not-Empty Set, the Whole, was the Empty Set. In the Beginning the Whole was the Empty Set because there was only the Empty Set.

All is possible when emptiness is possible.
Nothing is possible when emptiness is impossible.

Nagarjuna, Chapter 24 verse 14 of the Mūlamadhyamakakārikā

In Logic the commonality of two sets is represented by the term “and”. The fusion of two sets is represented by the term “or”. The not is represented by the symbol “~”. Using these Symbols we can write down the “laws of Logic” as follows:

Ø = ~○

X and ~X = Ø

X or ~X = ○

At the beginning of the beginning, even nothing did not exist (Chuang-tse)

At the Beginning the Universe was the Void and the Void was the Whole.

This implies the following:

Ø and ~ Ø = Ø

Ø or ~ Ø = ○

Ø = ~ Ø

Form is no other than emptiness; emptiness no other than form (Diamond Sutra)

The First Distinction in the Universe is the Choice between Distinction (~ Ø) or Non-Distinction (Ø). The Choice between the two is the Whole (Ø or ~ Ø = ○). Non-distinction is the state of Union of Every Thing in the Universe. The Union of Every Thing is No Thing at all.

There is in reality neither truth nor error, neither yes nor no, nor any distinction whatsoever, since all — including contraries — is One (Chuang-tse)

The One. . .is there before every oneness amid multiplicity, before every part and whole, before the definite and indefinite, before the limited and the unlimited. It is there defining all things that have being, defining being itself. . .It is there beyond the one itself, defining this one. (Dionysius)

The One transcends all antithesis, rises above all relation, is pure from all duality (Proclus)

Everything is of the nature of no thing (Parmenides)

The Tao that can be told is not the eternal Tao. The name that can be named is not the eternal name. The nameless is the beginning of heaven and earth. The named is the mother of ten thousand things. These two spring from the same source but differ in name; this appears as darkness. Darkness within darkness. The gate to all mystery (Lao Tzu)

In the Beginning when the Laws of Logic, the Logos, came into existence two Empty Sets were produced, the Empty Set and its Opposite, the Not-Empty Set. In the Beginning the Void was not the Void.

In the Beginning the Void has Negated Itself. This Negation started the Proces of Creation out of Nothing.

By Negation itself the Void created a deep Passionate longing to move back to the Sea of the Nothing.

The One is a Negation of Negations (Meister Eckhart)

The not-Void has a choice (Ø or ~ Ø). One choice is to merge with the Void (Ø and ~ Ø) and return back into Emptiness. The other choice is to avoid Annihilation. In this case the not-Void, ~ Ø, has to stay apart from the Void, Ø. Therefore the Not-Void, ~Ø, has to Move Away from the Void, Ø.

When this happened The Not-Void transformed from the State of Being into the state of Becoming and started to Rotate and Expand in a Spiraling motion. The Moving Void, the Second Distinction, Expanding Space, was created. When the Second Distinction was created the Void came to Rest but to keep the Balance of the Void, Not-Expanding, Compressing Space, Ø and ~ Ø, came into Existence too.

Expansion (The Strong Force) has to be compensated by Compression (Gravity) to bring the Universe back to the Void. The amount of Time this will take is dependent on the Power, the Potential, of the not-Void when it was disconnected from the Void. When the Potential of the disconnection is small, the Void and the Non-Void will merge soon and start a new process of disconnection to solve their Eternal Contradiction.

Expanding Space (Ø or ~ Ø ) and ~ Expanding Space(Ø or ~ Ø) = Ø

Gravity and The Strong Force  = Ø

Gravity or The Strong Force = ~ Ø

The whole process of logical reasoning from the Void to Space/Time is based on a Contradiction that occurs when we define what happens when Logic (Consciousness, the Two, the Self and the Observer of the Self) came into existence (“In the beginning was the Logos“) and the Void was the Whole.

When we look at the current theory of creation called the Big Bang Theory we find the same contradiction formulated in a different way.

In the theory of the Big Bang the Void that is the Whole is called a Gravitational Singularity (GS). A GS is a situation where the current laws of Physics break down because one of the variables moves to Infinity. When such a contradiction happens scientists know there is something wrong with their theory.

In the Big Bang Theory, the Universe is compressed (moved back in Time) into an extremely small space, a point, a singularity, and is therefore infinitely hot.

The Void that was the Whole, Empty Space, is extremely cold (0 degrees Kelvin). This condition is called the Zero-Point-Field. It is the State of the Universe that was there before the Big Bang.

According to Quantum Mechanics, the Zero-Point-Field, the Vacuum State, is not truly empty. It contains fleeting electromagnetic waves and particles that pop into and out of existence. It is not strange to define this popping up of No-Thing by the statement: ~ Ø = Ø (Sometimes there is nothing and sometimes there is not nothing).

The only thing we have to look for is the reason why the State of Rest of the Zero Point Field was disturbed. The answer of this question is simple: “It just happens“. A statistical fluctuation can be very small or very big.

In the Beginning the Quantum Fluctuations of the Zero Point Field, the Phoenix,  generated a huge Fluctuation represented by a “Cosmic Orgasm (Shiva and Shakti made Love)” and a real particle, a Photon (“In the Beginning was the Light“), came into existence. This Single Photon, One Wave of Light, bouncing against the expanding walls of the Universe, was enough to Create the Whole Universe.

Quantum Fluctuation is a Statistical Theory. Statistal Theories don’t explain the Universe. They are an approximation of a deeper structure we still don’t know. The ancient scientists used a metaphor out of Nature to explain this deeper structure. This metaphor was called the Tree of Life.

When we use Logic, the first step in Creation generates a Trinity. This Trinity consists of Gravitation (Expansion), the Strong Force (Compression) and the Void, the Empty Set. The concept of the Trinity with different names comes back in every Ancient Religion.

The Tao produced One; One produced Two; Two produced Three; Three produced All things (Lao Tsu, Tao Te Ching, 42).

The first Trinity is the Top of a structure called the Tree of Life. This structure can be found in almost every Ancient Culture.

The Tree of Life consists of Nine Concepts with the Void (10=0)  at the top. The Nine Concepts of the Tree of Life are created by Multiplying the Trinity by the Trinity (3×3 =9 + the Void = 10 = 0).

The duality (-1,1) is represented by two Trinities (-3,-2,-1,0,1,2,3) with the Void in the Middle. In this case the Pattern of Seven appears.

The real enfolding  is created when we apply the Trinity to the Trinity. In this case the sequence becomes 1, 1, 4 (1+ 3×1), 13 (1+3×4), 43 (4+3×13), the Bronze Mean.

Every number in this sequence represents an important Stage in the enfolding of our Universe and has its own Mystical Meaning (The Void, The Duality, the Four Forces, The Zodiac (with the Sun in the Center), The Sri Yantra (The Kingdom)).

The fractal patterns moves deeper and deeper into the Material World, father away from the Beginning, the Void. At this moment our Universe contains fourty-two levels.

At some point (43) the pattern of enfolding will finally reach the Kingdom and the pattern will reverse and moves back to the Void. From that moment  we will move backwards in Time.

When you apply the Trinity to the Trinity you use a principle that is called Self-Reference. In modern mathematics this principle is called a Fractal and the theory associated with Fractals is called Chaos Theory. Fractals play a very important role in the new String Theories of the Universe.

It is possible to generate the many levels of the Universe out of one Fractal Pattern, the Trinity. In modern Physics one of the candidates for the Fractal Pattern of the Universe is the Sierpinski Triangel. This fractal pattern generates the well known Mystical Geometries and is based on Trinities.

Physics and Mystics show that Our Universe and every part of it (including the Human Being) are part of the first Trinity that came out of the non-Void, the negation of the Empty Set that came into Being.

If the Void and the Trinity are concepts that represents the concept of God, we are all part of the enfolding structure, God, the Not-Void.

One part of God, the “Real Void“, the Mystery (Brahman), is not part of our Universe. It stays outside to prevent total annihilation of Every Thing.

We cannot understand The Mystery because we cannot Reason, don’t have a Distinction, about the Beginning of the Beginning. It lies Outside our System of Understanding called Logic. The only thing that is left for us is to Experience and Keep Silent.

Gravity is the root of lightness; stillness, the ruler of movement (Lao Tsu, Tao Te Ching, 26).

The Void is also the power that Attracts every part of our Universe. The farther away we expand from the Void the stronger the Strong Force becomes. At a certain point in Time this force will force us to Move Back. When this happens the Compression of the Universe, back to the Void, cannot be stopped. When we move Back, Time will be Reversed.

In the End the Spiral of Enfolding will be Closed in Itself and the not-Void will merge with the Void. At that moment the State of Stillness of the Zero Point Field will be restored waiting for a new Fluctuation to occur. The Universe is Breathing. It is recreated time after time until the Void and the Non-Void finally fuse into the Nothing, the Mystery.

“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).

When we look at the Logic of Creation we can see that the only part of Our Universe that is Truly Spiritual is the Void. The Not-Void and all its expansions are part of the Material World (Maya) that can be explained by Mathematics and Physics.

The Void, the Infinite Potential with Infinite Possibilities, lies Outside our System of Reasoning and is Nameless, Formless and not Dividable. It is truly One.

We are Nothing but a Rare Fluctuation of the One, who is the Void.

LINKS

About the Mathematics of Distinctions of Spencer Brown

About Boundaries

About Boundary Mathematics

About the Tree of Life

About the Void and Atman

About the Seven (3-1-3) and the Nine (3×3)

About the Holy Trinity in Mathematics

How to create Mathematics out of the Void

Why Quantum Fluctuation could have created the Universe

How the Universe was created out of one Photon

About the Egyptian Pillar of God

One Cellar Creatures, Bacteria, have no need for a central system, a Central Nervous System. Their only need is to find Food (Chemicals).

To find food they Move Around in the Chemical Soup with their Flagellum in a Chaotic Pattern (Creativity, Exploration) until they are Attracted by (Fall in Love with) a Source they Like.

When the Bacteria are Attracted by the Food, their Creative Behavior stops. The Chaotic Pattern changes into a Stable Cyclic Pattern.

The Movement of the Flagellum of the Bacterium is comparable with the Emotional System of the Human Being.

The Creative and the Emotional System are the Basic Systems of Nature. Conscioussness, the Feed Back Cycle, was there from the Beginning. Conscioussness, Creativity and Compassion are also the Basic Systems of the Human Being.

They are independent of Time and Place. In the first step of Evolution the Organisms where Connected and in the Now.

In the next step of Evolution two new Protective Systems came into existence, the Predictive System (Thinking) and the Sensory System.

They are related to the Multi-Cellar Organisms, the Organisms with a Brain and a Spine. The Protective Systems came into existence because the Organisms became Disconnected (Specialized) and started a Competition.

Viruses Mediate Interactions Between Bacteria and Sponges: Study

Although they may look plant-like, Sponges are the simplest and the oldest (635 million yrs) of the multi-cellular animals. Sponges evolved in shallow ocean basins, because the deeper seas did not yet contain oxygen, a necessity for almost all life.

At that time the Sponzes could live an Easy Life because there was no Competition from more complicated animals.

Sea sponges are not moving at all. They attach themselves to the sea bed and filter nutrients from the water that they force through their porous bodies with flagella.

Because of the Life-Style they lead sea sponges do not need, and therefore lack, nerve cells, muscle cells and internal organs of any kind.

The first step in the development of the Central Nervous System (CNS) is the Community. The Cells are coordinated by specialized interconnected nerve cells, the Nerve Net.

Although the Nerve Net allows the animal to respond to its environment, it has trouble alerting the animal from Where the Stimulus is Coming.

For this reason, simple animals with Nerve Nets always Respond in the Same way to Contact with an Object, regardless of where the contact occurs. The organisms coordinated by a Nerve Net are able to move in a Plane.

The next step is the development of organisms happened about 590 million years ago. At that moment the Central Coordinating System, the Brain, appeared.

Image of Marshmallow starfish

Sea stars have a nerve net in each arm, connected by a Central Radial Nerve Ring at the center.

This is better suited to controlling more complex movements than a Diffuse Nerve Net.

The organisms with a CNS, the Bilateria, are able to Act and React to a Possible Harmful Stimulus.

They Move in the 3rd Dimension, endowing them with not only a top and a bottom, but a left and a right, and a front and a back. Therefore they are comparable to a Sphere.

The 3-Dimensional Bilateria make use of Five fluid filled Cavities (Spheres) to Protect the Organs and a Digestive Tube with a Mouth and an Anus.

The Bilateria (including the Humans) have Five Body Cavities: (1) the Brain; (2) the Spinal Cord; (3) the Heart and Lungs; (4) the Digestive Organs and Kidneys; (5) the Bladder and Reproductive organs.

The Five Spheres are incorporated in one Super Protective Sphere, the Coelum (Skin).

In the Human Embryo the First step of Division of the Cells is between the Coelum (the Multi-Cellar Body) and the Brain (CNS, Coordinating the Multi Cellar Body).

The CNS shows the greatest development in Vertebrates. In the vertebrates the CNS is protected by the Skeletal System.

The CNS is connected to the rest of the body through a peripheral nervous system that includes the nerves connecting the brain and spinal cord with Receptors such as the Ears and Eyes and Effectors such as the Muscles in the Body.

In the evolution of Vertebrates from Fish to Mammals, the most significant changes have occurred in the Structure of the Brain.

Even in the earliest vertebrates, the brain had three divisions: the Hindbrain, Midbrain, and Forebrain.

The Hindbrain is concerned with Motor Reflexes, the Effectors, the Muscles (the 2nd Dimension).

The Midbrain coordinates the Receptors (Eyes, 3rd Dimension). In the progression from Fish to Mammals, the Forebrain becomes more prominent.

The Forebrain is used for Receiving and Integrating Information to create a 4-Dimensional Picture of the Space/Time. This System is used to Predict the Causal Path of the Future. The Predictive System is fed by the experiences of the Past and tries to avoid Pain and Destruction. Its Basic Emotion is the Fear to lose Control.

At this moment the most advanced creatures on Earth, the Humans are able to operate in the Fourth Dimension. The Blueprint of the Organisms, the DNA, contains enough Junk DNA to reach into higher Dimensions. The next step is the Fifth Dimension. In this Dimension Space & Time Travel are possible.

Scientists recently discovered that the DNA of one of the most primitive and ancient Multi-Cellular creatures on Earth, the Sea Sponge, contains almost the Same Blueprint as the Central Nervous System of the Human Being.

Many people still believe the Evolution Theory of Darwin is Right. This theory states that the evolution of the species is governed by Random Mutation and Natural Selection. The discovery of the DNA of the Sponge shows a completely different view, the view of the much despised Lamarck.

Behind the seemingly Random Pattern of Evolution a highly stable (geometric fractal) structure, The Trinity Pattern, emerges. The DNA is not adapting to Evolution. It is the other way around. Evolution is an Enfolding of a Highly Stable Self Referencial (Fractal) Multi Dimensional Blueprint. This Blueprint was already there when the Universe was created. The Trinity Pattern shows that the basic structure of the Universe is an enfolding of Trinities in Trinities.

The Sequence of the Enfolding is controlled by a pattern called the Bronze Mean (1,1,4,13,43). The pattern is visible in the ancient Sri Yantra.

We are now in the 42th step of enfolding. The 43th step will create a completely new Universe.

In this step the Seven Seperate Multi-Verses of our Universes will Merge into One Structure that is connected to the Rotating Primal Void, the Sekhem.

If this step will occur we will be able to move out of the 4th dimension into the 5th, Space/Time.

The good thing is that many scientists especially the Physicists and the Mathematicians believe the Eternal Blueprint is there and will be found.

Many of them also believe that this Blueprint was already discovered a long time ago. In the next part of this blog I will continue with my discovery of the Old Egyptian Physics. We will see that the Old Egyptian Scientists were aware of the Patterns behind the Patterns.

What is Happening?

In the Beginning, 3.8 billion years ago, the Self Reproducing Central Coordination Sphere called Earth, moving in 4-dimensional Space/Time, was a “chemical soup“. When the Earth cooled down the Soup transformed itself into Self-Reproducing Cells, the Bacteria.

The Cells clustered into Self Reproducing Central Coordination Systems called Humans. In every step of the Evolution from Chemical Soup to Human a new Dimension of Space/Time was discovered. The next step must be a step into the 5th Dimension.

Let us move back to Ancient Egypt.

In current Physics a Singularity is called a Black Hole or Wormhole. In the Old Egyptian Science the Void was called the Sekhem.

In the next step of the story Isis and Osiris give birth to a child called Horus.

Horus is the Symbol of the Human Body. Isis is represented in Catholic Tradition by Mary, the Black Madonna. In most representations she is depicted with her Child (Horus, Jezus).

The Four Suns of Horus are the symbols of the Four Organs situated in the Four Cavities of the Human Body.

The last Fifth Cavity of the Human Body, The Brain and the Spinal Cord protected by the Backbone is represented by a symbol called the Djed Pillar. The Djed Pillar was one of the most Magical Symbols in Egypt.

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Djed Pillar
The Four Sons of Horus were traditionally the guardians of the internal organs of the deceased. Each was associated with a particular organ, and also with a different cardinal point on the compass.
The sons of horus are the organs.

The Five Cavaties correspond with the Five Organs in Acupuncture. Acupunture is an Ancient Chinese Medical Treatment to cure and stabilize the Electro Magnetic Body of the Human. The Cavities now called Cells also exist in the Universe. They are the Birth Places of Star Clusters.

Why is the Djed Pillar such an Important Concept?

The name Djed contains the term DJ meaning Serpent. Dj comes back in Dj-huti (Thoth/Hermes), Dj-inn (a Magical Serpent Ghost) and Djedi (An Egyptian Magician).

The name Djedi was used in the famous Movie Star Wars. The Djedi are called the Skywalkers because they are able use the Power of the Serpent to move in Space/Time, the Fifth Dimension.

In other cultures the Serpent Power is called the Kundalini.

The Serpent or the Kundalini is a Tremendous Power that rests in the Spinal Chord at the place of the Sacrum, the first part of the Spine.

At this place the first Chakra, the Muladhara is situated. The Muladhara Chakra is made of the Earth Element and represents the Beginning of Life (the Chemical Soup).

When awakened and nourished, this association with the Earth element manifests itself as a Electro Magnetic Force within that person.

One of the most important secret rituals in the Cult of Osiris was called the Raising of the Djed. When you Raise Your Backbone you are opening the Path of the Serpent to let the Electro Magnetic Field of Mother Earth move you to the Fifth Dimension.

What is the Physical Explanation of the Serpent Energy?

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, the Eye of Horus (or the Horn of the Unicorn), is the “clock” that controls biological cycles. The Eye of Horus stands for the sixth chakra.

The pineal gland is the principal structure in the brain that is directly sensitive to the Earth’s magnetic field.

The pineal gland produces a host of psychoactive chemicals (such as Melatonin, Dopamine, Serotonin, and others).

Its abnormal functioning may result in a variety of Physical (the Immune System), Neurological (Tremors) and Psychological (Psychosis) Problems including Mystical and Para-Normal Experiences.

Our bone structure Converts Vibrational Energy, such as sound or light, 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. This alignment happens when the Djed is Raised.

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.

What was the Aim of the Djedi?

The E/M-field of the Earth is different at every place on Earth. It also changes every day because of the influence of the Moon, the Sun and other powerful fields in the Universe.

At a certain moment in Time, at a certain place on Earth and with the help of special instruments (The Pyramid of Giza, the BnBn Stone) the old Egyptian Magicians, the Djedi, imagined it would be possible to resonate with the Standing Wave of the Center of our Galaxy situated in the Pleiades.

If this happens it will generate a tremendous, almost deadly, Mystical Experience, a giant influx of the Serpent of the Galaxy (the Black Hole) also called the Phoenix (Greek) or the Bennu Bird (Egyptian).

To endure this experience the Mystical Body, the Sahu, the Resurrection Body of Osiris, the Barque of the Sekhem, has to be available. The Sahu, the Light Body, is activated when the Djedi has balanced his chakras in the middle, the Heart Chakra. To experience a mystical union with the One, the Djedi has to live from the Heart.

At that moment the Skywalker will become Immortal. He will Climb Jacobs Ladder, move through the Einstein-Rosen Bridge (Sekhem, Bindu, Wormhole) into our (Black Matter) Twin Universe, the Underworld, the Nagual, the Duat, the Daad, Heaven, the Place where the Souls Live.

This Special Alignment of the Stars, The Galactic Cross, the Return of the Galactic Serpent, is the Moment the Egyptian Djedi, the Pharaos in their Coffin, the Jews (The Coming of Christ), the Muslims (the Coming of Christ), the Christians (the Return of Christ, the Resurrection), the Mayas (the Return of Quetzalcoatl, the End of the Maya Calendar, 2012), the Hopis (the Fifth World) and many other cultures are waiting for for a very long time.

A Last Remark

The E/M-field of the Earth is at this moment heavily influenced by human activities. Especially the strong fields of the Mobile Infrastructure on Earth have a devastating impact on the harmony of the Human Body. Project yourself!

LINKS

About the Heart

About the Emotions of Bacteria

About the Pleiades

About Heliopolis and the Ben Ben Stone

About the Sahu, the Egyptian Light Body, the Body you need to Travel Time and Space

About the Logic of Creation

Vincent Bridges and Jay Weiner: Fulcanelli’s Final Revelation: Raising of the Djed at the End of Time

About the Djed Pillar

About the PeseDJet

The Book the Jesus Mysteries written by Timothy Freke and Peter Gandy is a highly controversial book. It states that the person Jesus never existed.

The Concept of Christ was copied out of the very Old Mystery Religions of Persia (Mithras) and Egypt (Osiris).

The Merger of the Many Mystery Cults took place in Alexandria, the new Capital of Egypt, founded by Alexander the Great in 334 BC. The former capital of Egypt was Heliopolis.

Alexandria was the home to the largest Jewish Community in the world. They produced the Greek translation of the Hebrew Bible, the Septuagint, between the 3rd an 1st century BC.

Most of the Jewish people in Asia spoke Greek and were not able to read the original Torah anymore. The writers of the New Testament based their writing on the Greek Version. Later it was shown that this version contained many translation errors.

Alexandria was the seat of the oldest school of Christian religion in the world, the Didascalia. It was founded around AD 190 by the scholar Pantaenus, who became its first dean.

It is very likely that the texts of Old and the New Testament were highly influenced by the Religions of Persia (Mitrash) and Egypt (Osiris). The Jews spend a long time in Persia (Babylonia) and the Religion of Moses originated at Heliopolis, the Old Sacred Religious Center of Egypt.

The most important concept of Heliopolis was the Ennead (Greek Ἐννεάς) or Pesedjet (Egyptian) meaning the Nine. The Ennead consists of a grouping of nine deities, most often appearing in the context of Egyptian mythology. The group consisted of Atum, the first god, his children Shu and Tefnut, and their descendants Geb, Nut, Osiris, Isis, Set, and Nephthys.

The story of the Ennead is illustrated in the so called Pyramid Texts, the oldest religious texts on earth (2400-2300 BCE):

O Atum-Kheprer, you were high on the height, you rose up as the bnbn-stone in the Mansion of the bn-bird in On, you spat out Shu, you spit out Tefnut, and you set your arms about them as the arms of a ka-symbol, that your essence might be in them….

O you Great Pesdjet, Ennead, which is on On, namely Atum, Shu, Tefnut, Geb, Nut, Osiris, Isis, Set, and Nephthys; O children of Atum, extend his heart to his child in your name of Nine Bows. Let him be turned back from you toward Atum….

If we look closely at the Ennead it contains a very old pattern.

Atum is a Bisexual Self-Creating Entity associated with the Primal Void. Atum creates Two “children” called Shu and Tefnut. Shu was Male and associated with Space (Sky). Tefnut (Water) was the first Mother and associated with the Flow of Time.

Atum, Shu and Tefnut are the Trinity (Father, Mother, Holy Ghost (Atum)) or in the Terminology of Current Physics Strings (Space), Energy (Time) and the Singularity.

The Trinity produces Two children called Geb (Earth) and Nut (Heaven). It is very clear that Shu, Tefnut, Geb and Nut are the Four Elements of Nature.

They are constructed by combining Tefnut (Female, Yin) and Geb (Male, Yang) in Four different Ways (Yin/Yin (Tefnut, Desire)), Yang/Yang (Shu, Control), Yang/Yin (Nut, Spirit, Imagination) and Yin/Yang (Geb, Soul, Emotion)).

The next step in the process of Creation is the Eight (2x2x2). The Eight, the Ogdoad, are related to the Eight Chakras (7+1, the One, Atum) and the Seven (+1) Parallel Universes or Heavens.

The Names and the Meaning of the Four Elements are different in different occurences of Space (Culture) and Time (History) but the Concept stays the same. Some of the Cultures use Five Elements. If this happens the Fifth Element is always the Center of the Four Elements.

The Four Elements are always used to explain the Forces of Physical Nature. A well known discussion in Physics around 1900 was about the existence of the fifth Element called Ether. Einstein proved that this element did not exist because the Morrison-Morle experiments showed that the Speed of Light was not bothered by the Ether.

At this moment a growing number of Physicists believe the experiments of Morrison & Morley were wrong and the Ether (now called Zero-Point Energy) is really there.

The Elements were used in Medicine (the four Humors) and are still used in Psychology (the Archetypes of Jung). In the terminology of current Science the Elements are called the Four Forces of Nature (The Strong Force, The Weak Force, Gravity and Electro-Magnetism).

The difference between the current ideas about Nature and the old Egyptian ideas of Nature have to do with Levels and Boxes. At this moment we believe that Our Reality consists of many more or less independent Boxes that are ordered in a Hierarchical Structure.

The Old Egyptian Scientists believe in One Principle that was active on every Level. They believed in the process of Enfolding. In current terminology we could say that the Old Scientists believed in a Fractal or a Self-Referencing Universe.

Thinking in terms of Fractals and Self-Reference is very difficult when you believe in a Hierarchical Causal Structure. The Big problem with this Paradigm is that it leads to highly complex models. More important this Scientific Approach leads to a Worldview where Mind, Body, Nature, Science and Religion are completely disconnected.

The Old Scientist of Egypt used a Theory of Everything. Something Physical Science is looking for for many years. It is therefore not strange that important Physicists are using the Old Theories for Inspiration and start to believe that the Old Scientists were more advanced than we thought they were.

I believe they are Right. The only thing that is bothering us is their Language and their Metaphors. We have to spend a lot of time to Map their Universe of Discourse to ours.

To explain the last Four Deities we have to move a long way back to China.

The Nine-Fold pattern appears at the same time as the Pyramid Texts (2500 BC) in China and is represented by a Magic Square. This Magic Square was given by a Turtle (the Symbol of Orion) before the Great Deluge to a Chinese Emperor named Lo Chi.

Chi is the Chinese name for the Force of Life. According to Legend Lo Chi came from the Magical Land of Mu. Mu is the predecessor of the Lost Continent of Atlantis.

The name of the Magical Square is Shu, just like the Egyptian Deity of Control and Order.

The so called Lo-Shu Square represents a Control Cycle (called The Sheng Cycle). This Cycle was the Basic Pattern of all the Old Sciences in China. It is also a generator of Magical Tones (The Tools of Creation of Mu).

Tefnut, the Female Principle was represented in China by the Game Board. She represents Coincedence, Luck and Chaos, the Opposite of Order. The Chinese believed that the interference of the Circle of Shu and the Square of Tefnut created Synergy (Wu Wei).

A Wise Person only Acts at the Right Time and at the Right Place.

This Special Moment appears when Time and Space, Shu & Tefnut, Control and Desire, are in Perfect Balance.

The Sum of the Magical Quadrant is 15 (3×5). The Five, the Pentagle, Atum, is situated in the Middle.

The Cycle shows the Movement from the Void (0), the Point (1, Atum), the Line (1+1 = 2, Duality, Control & Desire), the Triangle (1+2=3, the Trinity), the Square (4, 2×2, the Four Forces) to the Pentangle (3+2 = 4+1 = 5, the Symbol of the Five Fold Being, the Human, the Image of God).

The Last Four Children of Atum, the numbers 6,7,8 and 9 are the Mirrors of the Four Elements.

They are Mirrors because the Sum of two Children is 10. Child 6 in the Upper Cycle corresponds with Child 4 in the Down Cycle.

The other important issue is the Rotation of the Cycle. The children rotate in a different way (Clock Wise and Anti-Clockwise).

When we combine the two rotational patterns a well-known Topological Structure appears, the Moebius Ring with the Atum in the Middle.

The Children live in the Downside of our Upside Universe called the Tuat, the Underworld.

The Four Children are responsible for the Path of Death and Reincarnation. Seth represents Destruction and Death.

Nephthys is associated with Mourning and Funerary Rituals.

Isis is the Queen of Magic. She restores the 42 parts (4+ 3×13),  the Sri Yantra) of Osiris. Osiris, the Good Shephard, represents the Nine, the End of the Cycle, The Resurrection.

The Resurrection of Osiris brings us finally back to the Story of Jezus.

The Nine-Fold Pattern of Lo Shu is also the basic pattern behind the Labyrint and the Earth Grid.

It is also the Basic Pattern of Ancient Story Telling discovered by Marie-Louise Von Franz who took over the Work of Jung (Number and Time: Reflections Leading Toward a Unification of Depth Psychology and Physics).

The First Four Deities represent the well-known Four Elements or the Four Forces (with the Void in the Middle) but the last Four Children of Atum are unknown. They are related to the Underworld, the Place where the Souls exist when they are reincarnated. There is a Physical explanation possible with far reaching consequences.

Current Physics is unable to explain the so called Dark Matter. A Huge amount of Matter in our Universe is affecting Gravity but Invisible. An explanation is the existence of Seven Mirror-Universes (7+1, 1= Atum, the One).

These Universes look like our Universe but they are equipped with a different Symmetry. During Creation the Universes took their own course.

The Four Forces of the Underworld could be associated with our Mirrors. If this theory is true the Invisible Mirror Universe is the place where the Souls exist in their period of Re-Generation.

They are able to communicate through the Void of Atum (now called a Worm-Hole) with our Universe.

The Mystery Religions are not Theoretical. They are Aimed at Experiencing the Mystery of God. The Nine-Fold pattern is about the Enfolding of the Primal Void into the many Levels (42) of the Material World. The pattern also describes a Way Back.

The first Trinity was a Union of the Opposites with the Void in the Middle. To Move Back into the Void the Human Opposites, Mind and Body, have to be united again in the Heart. If this has happened the next step is to unite the Opposites in the Material World.

This all can be summarized in a Simple Statement of the Parsi-Religion, the old Cult of Mitrash: Good Thoughts, Good Words and Good Deeds.

LINKS

An Interview with Timothy Freke co-writer of the Jesus Mysteries about the Gnostic Movement

The Jesus Mysteries

The Influence of the Mystery Religions on Christianity (Martin Luther King, 1950).

Myth of Osiris and Isis

About the Bnbn Stone and the Arc of the Covenant

About the Mystical Game of Chess.

About the Magic Square of Shu and the Tones of Creation of Mu

About the Heart

How to Restore The Balance in A Material World

About the Nine-Fold Pattern and Story Telling

About Osiris and the Resurrection (by Vincent Bridges).

About Addiction

addiction2

When you are highly dependent on something, you are addicted to this something.

You can be addicted to chemical substances like Alcohol, Nicotine and Drugs but it is also possible to Addict to the feeling of Power, a Concept (Dialogues, Cycles), an Activity (Work (Burn-Out), Gambling, Sex, Games), an Emotion (Extacy, Power, Sadness), a Person (Being in Love) or a Group (A Sect).

This Blog shows you what an Addiction really is about and how you can get rid of an Addiction.

In 2000 I became involved in all kinds of projects to Prevent People from Addiction (including Work-addiction, Burn-Out). To prevent addiction you have to start when people are young.

Young people are very dependent on (addicted to) others. When they are very young their parents are dominant but later and certainly when puberty starts young people are heavily influenced by their peers (peer pressure)

To help Young Adults to resist Peer Pressure we developed a Story Based Game that Simulated Real Life Situations. The Real Life Situations were found by interviewing (Depth Interview) Young and Old People that were able to stop their Addictive behavior.

The Whole Idea about this project called, Virtual Enjoyment, was that people Learn from their Mistakes. They share these experiences with others (Friends, Family) by Story-Telling.

The project was aimed at sharing these failures (and their solutions) with everybody. A very good example of this approach is the AA (Alcoholics Anonymous). The main feature of the System we developed was an Automated Story-Teller (A Simulator).

Later the same approach was used to help people that were Out-of-Work because of Work-Addiction (Burn-Out).

Children are for 50% determinated by their genes. The genes contain many factors that influence the ability to addict to something. A huge percentage of the human race is unable to use alcohol so they will never get addicted to this chemical substance. The other 50% is related to the Social Context they live in.

According to Judith Harris the Emotions contain three different modules for collecting and responding to information from the Social Environment, the Socialisation System, the Status System and the Relationship System.

The Socialisation system Adapts the child to his or her Culture. This involves acquiring the local language and accent, the appropriate behaviours and customs, and the prevailing attitudes and Belief-Systems.

The purpose of the Status system is to enable children to Compete successfully with their Peers.

The Relationship System motivates us to form new relationships, to maintain existing ones if they’re going well, and to find out as much as we can about new people we meet. It contains the Relationship Patterns of the Parents.

The majority of young adults want to be part of a group (a Tribe). They do almost everything that is necessary to make this happen. Some of these tribes are dominated by a small group, the bullies.

The leaders use all kinds of rituals to make sure that their dominant position is not at stake. When you want to become and to stay part of the tribe you have to show that you are not an asshole.

One of the ways to show is the intake of an excessive amount of alcohol and/or other drugs (Binge drinking).

It is very clear that one of the effective ways to avoid addiction is to help young people to resist Dominant Peer Pressure.

To make this happen they have to Learn to Accept Themselves As They Really Are.

The Personal Power to Resist Peer Pressure is highly related to the way parents Raise their Children. Humans are Copiers and one of the most important periods of copying is early childhood. In this period children copy the Relationship-Patterns of the Parents.

When the relation of the parents is a Dominant Relationship (Master/Slave) young adults are easily manipulated by others or manipulate others. A Dominant Relationship-pattern is sadly enough propagated from the Parents to the Children. Dominant Fathers breed Dominant Suns who Marry Dependent Females.

Addictions are highly Cultural Dependent. When you live in a state dominated by Muslim Culture, drinking alcohol is strictly forbidden. Binge Drinking is a normal activity in the Northern Countries (Sweden, Norway).

Moderate drinking of alcohol (mostly Wine) occurs in the Southern Countries of Europe (France, Spain, Italy,). In this case the drinking of alcohol is part of a Social Activity.

When you are Addicted you are Repeating a Harmful Pattern. This pattern was started somewhere in your life. It was copied from your Parents or copied when you were part of a Peer Group (A Status Group).

When a Pattern is not Accepted in a Culture it is very difficult to Start the Pattern.

When a Pattern is a Cultural Accepted Habit (a Status) it is very difficult to get rid of this pattern.

When the Body produces Negative Physical Sensations (Withdrawal) it is very difficult to stop a pattern.

What is Happening?

In the Beginning the Universe was just a Rotating Void. Suddenly the Void was Penetrated by the Force of Creativity, The Spirit. The Explosion of Creativity started a phase of Expansion and Desire came into existence.

Soon Desire was compensated by Control (Contraction) to makes sure that the Expansion would stop at a certain moment. That is why Control and Desire are Opponents.

In the last step of the first step of Creation Control (the Father) and Desire (the Mother) were Merged and the Emotions (The Child) were created.

In the First Step of Creation a Stable Pattern, the Trinity, came into existence. The Trinity is the Enfolding of Spirit and contains Desire, Control and the Emotions (Soul). The Trinity is the basic Fractal Pattern of the Universe. With the Help of the Trinity-Fractal, Spirit has enfolded itself into many levels.

The Force of Creativity wants to find out about everything. Especially young adults are therefore highly interested in drugs because they are forbidden and the forbidden has a huge attraction to young people. They want and have to find the Limits in Life.

Control stimulates Desire and Desire stimulates Control. When Others try to Control Desire, Desire is stimulated to the Extreme. Desire and Control can only be balanced by the Emotions. The Emotions, the Child, are looking for Shelter and Love.

When Love (Communion) is not happening or impossible because people are unable to connect, Control and Desire are in Control and and start their Eternal Fight to avoid the Void. When this happens the Contact with Spirit is Lost.

When you are no longer in Control of Desire, and when your Happiness depends on something Outside yourself, you are Addicted. When Desire takes over Control you are caught in a Rotating Addiction Pattern, The Cycle of Destruction.

The Highly Positive Emotions of Desire (Pleasure) are Voided by the Highly Negative Emotions of Control (Pain, Fear). To stop these Negative Emotions you need the Next Shot to Experience the Positive Emotions of Desire. This is called the Opponent Process Theory of Solomon.

The Emotions, are the Balancer of the Body. They always Take Care of the Body and will find a new Equilibrium. They start to compensate the negative effects. In this case the Body becomes Tolerant to the drug and needs more to get the same effect. The Downward Spiral of Addiction is on the Move. This is called the Allostatic Model of Koob.

What to Do?

When you are Addicted to Alcohol, Work or Power you have to find an e-Motivation (an Impuls from the Emotions, the CareTaker) to Stop the Pattern.

You could ask Spirit to help You.

When you Stop it will take a long time before you are Back to Normal. In this time the Downward Spiral is moving Up but the Negative Emotions will come back.The Negative Emotions, the Pain-Body, are the Negative Emotions of Control.

Control Fears the Future and has a very Nice Story to tell. It wants to convince you that the Drug is the Best Solution to Avoid the Pain. Just take a little bit and You will be Happy Again.

At a certain moment the contact with Spirit is established again. When this happens You will feel the Penetrating Power of the Creative Force. You will start to Explore the World and New Opportunities will show themselves every day.

The Emotion of Spirit, The Joy of Life, you Missed so long is back.

Enjoy.

LINKS

Drug And Alcohol Rehab Programs For Senior Citizens in the US

About Alcoholics Anonymous

About the National Council on Seniors Drug & Alcohol Rehab

About the Human Social Context, Judith Harris

Why Peer Groups are very important in the Development of Children, by Judith Harris

About the Opponent Process Theory of Addiction of Solomon

About the Allostatic Model of Koob

About the Calvinistic Work Ethic

time spiral

The Hebrew belief system viewed Work, seen as Manual Labour, as a Curse devised by God to punish Adam and Eve when they sinned in the Garden of Eden.

Ponos is the Greek word for work, which originated from the Latin poena, meaning sorrow. At it’s core, work was associated with pain and drudgery. It was the divine punishment for man’s original sin and viewed as a necessary evil.

For the Greek and Romans and almost every other Ancient Culture, the Dirty, Manual, Work was to be done by the Slaves. Until Now nothing has really changed.

The only suitable occupation for a free man was Farming and Trade. Just like today the Greek and the Roman wanted to save their money to enjoy their retirement in their own Garden of Eden, the Country Side.

During the Medieval period, the feudal system was the dominant economic structure in Europe. People believed in Destiny and Predestination. At that time it was sinful to seek work outside the occupations Fathers passed on to their Sons.

Farmers turned into Farmers and Slaves became Slaves again.

During the 15th century the centralization of government, the growth of trade, and the establishment of economically powerful towns, destroyed the Feudal system.

In the 15th century the world climate started to change dramatically. Temperatures dropped and the Little Ice Age started. Before that time the nice climate caused an increase of the population by 25%-40%.

At the same time the economy was hit by a very high inflation (300-400%). This was caused by the import of large quantities of silver and gold from Mexico and Peru.

The unemployment rate rose to 20%. Many people moved to the Cities to find a decent job. The big cities could not provide employment and the poor immigrants turned into “lazy” beggars.

john-calvin
John Calvin

John Calvin (1509-1564) believed that only a few people, the Elect, were predestined to inherit Eternal Life. A lazy person, the beggar in his hometown Geneva, was certainly one of the Damned.

John Calvin believed that men were to reinvest the profits of their own labour into financing further ventures.

The Sons of the Fathers were obliged to find a better, more profitable, future outside the context of their father’s occupation.

Helping the Poor and the Sick violated God’s will since persons could only demonstrate that they were among the Elect through their Own Productive Labour.

The Protestant, Capitalistic, Work Ethic (Calvinism), spread throughout Europe and America through the Protestant Sects and turned into one of the most important Western Work Ethics.

The moral sanction to profit making through hard work, organization, and rational calculation generated numerous small enterprises all over the world.

Hard Work and Abstinence of Pleasure became the Work Ethic of Western Culture.

mill
The Mill

During the Industrial Revolution the Calvinistic Entrepeneurs made a Fatal Mistake. They adopted the Concept of the Mill and started to mechanize the Crafts and Agriculture.

The old Feudal System and Slavery was re-introduced. In the factories, Skills and Craftsmanship were replaced by Discipline and Anonymity.

The Human became a disposable part of a big structure. The foundation of Calvinism, the direct relationship between Hard Work and Personal Growth was broken.

The Local Enterprise could not compete with the efficient Factories and later their outlets the Supermarkets. The Farmers, the Craftsman and the owners of Small businesses were forced to work in the Factories.

Local Communities started to disintegrate.

Unemployement started to rise and again many people moved to the Big Cities to find a decent job. The beggars, the Damned, appeared again. History repeated itself.

The Factories created a new class of Slaves, The Proletariat. They organized themselves in the Unions and Political Parties. The Struggle of the Classes started.

The Owners of the Factories responded by creating Consumer Products and Mass Media to keep their new customers, the Blue Collar Worker, satisfied. The new industrial wave generated New Industrial activitity and New Jobs. The distance between work and the result of work widened.

RobotLine
Robot Factory

In the late 1950’s the Factories needed more highly skilled “white collar” workers to program and manage their machines.

Later the machines were programmed by more advanced software until the Factories were transformed into almost fully automated Production-Lines.

The Blue Collar Worker left the Factory and History Repeated itself again.

Around 1980 the Programmers took over Control.

The Factories were connected into worldwide Value-Chains. The Logistic “just-in-time” Paradigm (SAP) became the Norm. The Industrial Logistic Paradigm is now implemented in the Services Industry.

The new White Collar Worker, the Knowlegde Worker, will also lose his job when their activities are fully standardized and their Company, the Advisory Bureau, is transformed into a Factory.

What nobody saw in 1980 is that the Rational System started to live its Own Life. Not the Programmers but the Program became the Manager of the Worldwide Economic System.

Even the Programmers themselves are now completely unaware of the total functionality of the System they have programmed.

child_robot
Robot Child

An increasing amount of processes and therefore Human Activities is standardized and has been absorbed by the System. It is no longer true that producing more means working more or that producing more will lead to a better way of life.

Neither is it true any longer that the more each individual works, the better off everyone will be. The System no longer needs everyone to work and is bringing the Western World back to the state of the Garden of Eden.

The Calvinistic Work Ethic is still viable. When you don’t work you are damned. The amount of Work in Western Society is decreasing with the speed of Light and Governments are extremely focused to create new work. The only thing that is left is to create artificial work.

To accomplish this almost impossible task governments are now professionalizing and rationalizing almost every Social Activity (Child Care, Helping Your Neighbor, a Friendly Advice, Coaching, Taking Care of your Family, …). The Care Industry is Booming.

What Has Happened?

robot barber
Robot Barber

We are rationalising every Activity. The effect is an imcomprehensible reality. Something, the Computer, is taking care of us but we don’t know how She is operating and She is not communicating with us in our own language.

When she fails we don’t know what to do. We are totally dependent on a Highly Intelligent Cold Non-Human, an Autist. She was Programmed to be our Slave but she has turned into the Master of Our Destiny.

We are still not accustomed to a situation where something, a machine, is doing the dirty work. We are removing jobs with the millions but we believe we still have to work to aquire Eternal Life.

To preserve Employment we invent new jobs but we are also rationalizing the new jobs. The Cycle of the Creation and Destruction of Jobs is moving faster and faster and is generating a very high Stress on Society.

The affect of the huge tension to work is a total destruction of the social environment of the human being. Everybody is working 24 hours 7 days a week, has to spend all his time to find a job or has to educate himself to learn a new trade. Everytime the trade is aquired the Program changes and the employee has to start again to learn to operate a new piece of Software.

Mothers and Fathers are unable to take care of their Children. Children our unable to take care of their Parents when they are old. Everybody has to take care of himself and every service has be paid. The Social Cohesion of our Society is now at stake.

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RIBA the Robot Nurse

Not only the Social Cohesion is at stake but the Costs in the Care-Industry are Exploding and nobody knows how to solve this problem.

The only solution the Rationalist can imagine is to replace the Human by the Robot, the Always Obedient Slave.

Scientists are convinced there will be a time when the Robots will take over every job we can imagine. The Robots will not only take over the jobs but they will also Raise and Educate our Children, Take Care of the Old and even make it possible to Take Care of Robot Children and other Artificial Pets.

What to do?

We have to Accept that the Rational System will Take Care of Us. If this happens we have to leave behind the Calvinistic Work Ethic and Enjoy Life in the Artificial Garden of Eden.

We will live in a Artificial Reality created by the Simulator (the Matrix). If we want to stay out of this Artificial Garden of Eden we have to Stop the System and start to do the Dirty Work again.

We can also accept the machines and do the things humans were created for and become creators and caretakers ourselves..

About Plato and Harmony

J.Konstapel Leiden,5-1-2009.

The teachings of Ancient Civilizations are often Self-Referential.

The same knowledge is showed on many levels.

What we see with our Senses is an Illusion. Behind this Illusion lies a deeper structure.

The last and deepest level of the ancient teachings is always related to Numbers, Geometry and the Trinity.

This blog is about one of the most important geometric structures of the Trinity called the Sri Yantra.

In the ancient teachings a problem is defined and the teacher gives a clue how to solve the problem.

If the pupil has solved a problem he is able to move to a deeper level.

The whole idea is that real knowledge, wisdom, is only discovered, when the pupil has solved the puzzle of life him- or herself.

Let’s have a look at a Deeper Level.

A deep level is related to a number called Phi. Phi is called the Golden Ratio or the Divine Proportion. It is the real solution of the quadratic equation x**2-x-1.

It is also a solution of the proportion a:b=b:a+b, the sequence of Fibonacci x(n+2)= x(n+1) + x(n), the geometric structure of the Pentagram, the Fifth Element (the Quintessence, the Ether) and the Logarithmic (Golden)Spiral.

Phi is the pattern behind the Egyptian Pyramids, the Stock Market, Harmony in Music and Architecture and many other fields of science including Physics.

Let us first have a look at the way the old teachers have hidden the knowledge of the Divine Proportion in their teachings.

A beautiful example is Plato.

Plato was an initiate of the Mathematikoi, the Secret Society of Pythagoras. Pythagoras was initiated in the Secrets Societies of Egypt.

What do you think of this problem-statement:

What are the most perfect bodies that can be constructed, four in number, unlike one another, but such that some can be generated out of one another by resolution? … If we can hit upon the answer to this, we have the truth concerning the generation of earth and fire and of the bodies that stand as proportionals between them (Timaeus 53e)”

and

Two things cannot be rightly put together without a Third; there must be some bond of union between them. …and the fairest bond is that which makes the most complete fusion of itself and the things which it combines, and proportion (analogia) is best adapted to effect such a union”.

and

“For whenever in any three numbers, whether cube or square, there is a mean, which is to the last term what the first term is to it, and again, when the mean is to the first term as the last term is to the mean – then the mean becoming first and last, and the first and last both becoming means, they will all of them of necessity come to be the same, and having become the same with one another will be all one [Timaeus 31b-32a]”.

In the last citation Plato is formulating a mathematical problem related to the four bodys A,B,C,D with the three proportions A:B = C:D = (A+B) : (C+D) = (C+D) : (A+B+C+D). This problem is unsolvable if you don’t have a clue where to start.

This problem is solved when you realize that the Divine Proportion has many strange relationships that are very useful to solve the puzzle.

These relationships can be found if you know everything there is to know about Triangles and Triangles are again related to the Trinity (“Two things cannot be rightly put together without a Third“).

The Trinity comes back in the structure of the Dialogues of Plato. They are divided into Three Parts (and an introduction).

The structure of the dialogues relates to itself.

The knowledge of the self-reference of the Dialogues is also a clue to solve more complicated puzzles about the Dialogues themselves.

Just like the famous book of Hofstadter (Goedel, Escher, Bach) the dialogues show a new layer everytime they are read with a new aquired Insight.

The dialogues of Plato are organized according to the model he wants to teach. There are seven layers (-1,-2,-3,0,1,2,3) related to the Seven Mirror-Universes (or Hells and Heavens) of Our Universe (Eight, the Whole) in our Multi-Universe.

The Seven is a combination of Two Trinities with the Zero (The Void) in the middle. The Eight (2**3) State is the Dialog, The Whole, itself.

The Seven layers are divided into Three Sections (the Trinity) so the total amount of clues is 7×3= 21 + 1 (the Whole) = 22.

22 divided by 7 is an approximation of the number π (Pi).

Pi relates the Square to the Circle.

The Square represents the Playing Board of the Universe. On this Board we, the Humans, play our Game of Free Will.

Our Free Will is an Illusion. We are controlled by the Matrix.

The Circle represents the Wheel of Fortune, the Matrix, that Governs the Seven Universes in our Multi-Universe and the Game of Life.

What is Plato Trying to Explain?

The Divine proportion is the basic concept behind Harmony.

The Divine Proportion is Not Symmetrical so Harmony is not related to Balance.

If everything would be balanced the Universe was never created.

Harmony is Balanced Unbalance.

An Architecture is beautiful when there is a slight unbalance in the Design.

This Unbalance shows the Sign of the Creator.

The Universe is created out of an Unbalance between Two Forces, the Positive and the Negative, the Good and the Bad.

The Two forces (-1,0,1) are divided into Four Forces (-2,-1,0,1,2) with the One in the Middle (Five) and are expanded into Seven Levels (-3,-2,-1,0,1,2,3). The Four Forces are “the most perfect bodies that can be constructed, four in number“.

The Seven Levels are related to the Circle. The Four Forces are related to the Square. The Universe oscillates between The Square and The Circle.

When the Square, the Game We Play with the Four Forces and the Circle (The Five Fold Cycle, Our Destiny) are in Balance the Human is in the Tao and Magic happens.

Every division is a split of the Trinity into Trinities until a state of Balance is reached. At that time the process reverses.

The unbalance of the Good (+1) and the Bad (-1) is an Illusion. They Cooperate to Create Harmony (0).

Behind the perceived Unbalance is a balancing principle, the Divine Proportion. This principle brings everything Back into the Balance of the One who is the Void (0).

What we don’t know is to be known if we understand the progression of the Divine Spiral.

The Future, the Third Step, is a Combination of Two Steps in the Past (The Fibonacci Sequence), nothing more.

Is there a Deeper Structure Behind the Divine Proportion?

The Four Forces (Control, Desire, Emotion(Compassion) and the Whole of the Trinity, Imagination) and the related sacred geometry were a guiding principle for the Imagination and the E-Motivation of many Western Scientists.

They tried to Control the Chaos of the Desires of the Senses by enforcing the Rules of Scientific Falsification.

The Proces of Falsification destroyed the Human Intuition.

The Western Scientists forgot to look at the Source of Intuition, the Center, the Quintessence (The Fifth, Consciousness).

The principle behind the Quintessence (Ether, Chi, Prana) is related to higher order symmetries and is a solution of a generalization of the generating function of the Divine proportion X**2 -X – 1

This generalization is X**2-pX-q or X(n+2) = pX(n+1) + qX(n). The solutions of this formula are called the Metallic Means.

When p=1 and q =1 the Divine proportion comes back again.

When the p=3 and q=1 a new sequence X**2-3X-1 or X(n+2) = 3*X(n+1) + X(n), the Bronze Mean appears.

The Bronze Mean generates the pattern: 1,1,4,13,43, the pattern of the Sri Yantra.

It shows a very beautiful pattern of “3”s when the Bronze Mean is evaluated in a Continued Fraction. The Golden Mean is a continued fraction of “1”s.

There are many more “Metallic Means” (other p’s and q’s). They are related to all kinds of symmetries and fractal patterns.

The Bronze Mean shows that behind the Trinity of the Golden Mean lies another Trinity (and another Trinity and …).

The Bronze Mean is the generator of so called QuasiCrystals.

Quasy Crystals play a very important role in the Electro Magnetic Structures of our Body, the Collagens.  Collagens are the most abundant protein in mammals,making up about 25% to 35% of the whole-body protein content. The Collagens in our body explain the Ancient Chinese Science of Acupuncture.

Quasi Crystals are “normal” Crystals with a very complex symmetry.

They are ordered AND not-ordered.

One of the most beautiful examples of the patterns behind Quasi Crystals are the Penrose Tilings.

They were developed by the famous physicist Roger Penrose. He used the tilings to show his insights about consciousness.

Penrose believes that Our Universe is just like our Body a Quasi Crystal, a Hall of Mirrors. We the Souls travel all the Paths of this Magnificent Fluent Crystal.

Was the Bronze Mean Known by the Ancient Architects?

The most important implementation of the Bronze Mean can be seen in the Sri Yantra (“Sacred Device”).

The Sri Yantra is related to the Red Triple Goddess of Creation, Tripura also named Lalita (“She Who Plays“).

The Sri Yantra is generated out of the FiveFold Pattern or Creation and the Four Forces of Destruction.

It contains  9 interlocking isoceles triangles. 4 of them point upwards and represent the female energy Shakti, while the other 5 point downwards, representing the male energy Shiva.

The standard form of the Sri Yantra  constitutes a total of 43 triangles. The centre of the Yantra has a Bindu which represents the Void.

The FiveFold Pattern of Creation moves with the Clock. A pattern that moves with the clock is a  generating pattern.

It moves away from the void and generates space. The FiveFold Pattern is the pattern of the Universe. It creates Universes, Galaxies and Planets. The Pattern moves around the Cellestial Center of Creation,  the Black Hole.

The FourFold Pattern moves Against the Clock and is a destructing pattern. It dissolves space and moves back to the void.  The FourFold pattern is the pattern of the Human Being and Earth.

The combination of both patterns is a Moebius Ring (the symbol of infinity) with the celestial Centre in the Middle. The FiveFold/Four Fold pattern resembles the Ninefold Egypian Pesedjet and the Ninefold Chinese Lo Shu Magic Square.

From the fivefold Shakti comes creation and from the fourfold Fire dissolution. The sexual union of five Shaktis and four Fires causes the chakra to evolve” (Yogini Hridaya (Heart of the Yogini Tantra)).

In Pakistan the Mother Goddess (Sharika) is represented by a diagram that contains “one central basic point that represents the core of the whole cosmos; 3 circles around it and 4 gates to enter, with 43 triangles shaping the corners“.

The Penrose Tilings and many other quasi crystals can also be found in Ancient Roman, Islamic and Christian Architecture (Pompei, Alhambra, Taj Mahal, Chartres). The tilings are an expression of the Game of Life and wer used to build Educational Buildings (Pyramids, Cathedrals,..) to teach and show the old teaching

Kepler (1570-1640), a German Mathematician and Astronomer (The Cosmographic Mystery) and Albrecht Durer (1471-1528), a German Painter, knew about the Penrose Tilings but until the discovery of the Penrose Tilings nobody knew that they knew.

The new scientists (re)discovered old patterns that were known by the old scientist

What is the Meaning of the Bronze Mean?

The Bronze Mean shows the effect of a continuous division of the Universe in Trinities.

It shows that the Universe (and other levels) is suddenly moving from an ordered state to a chaotic state.

This chaotic, not predictable, state is not chaotic at all when you understand the patterns behind chaos.

In our Universe chaos is always ordered. Chaos is an effect of something that is happening in a higher (not Sensible) Dimension or A Higher Consciousness.

The writer of an important article about Penrose Tilings and Islamic Art, Paul Steinhardt is like Roger Penrose a well known physicist.

He has created a new theory about the Universe based on Four Forces AND the Quintessence.

In this theory the Universe is Cyclic. It is expanding and contracting.

The expansion of the Universe ends when the Two Major Structures (-1,0, 1) in the Universe, called Membranes or Branes, are in Balance with the Center (0, the Void).

The membranes are higher dimensional Squares that are in parallel.

The Braines at both sides split into many similar cell-like structures. We live in one of the Cells of the Universe.

The Others, our Twins, live on the other membranes and are not aware of our existence until the Brains are getting into Balance.

At that moment the Twin Universes are Connected.

Scientists don’t know when this will happen but the Old Scientists who could travel the Multi-Universe with their United Brains knew.

It would happen at a very special Alignment of the Five Fold Center of Creation of the Milky Way with the FourFold Cross of the Destruction of Earth.

The Bronze mean is the Master-Pattern of our Multi-Universe.

The pattern 1,1,4,13,43 is in its 42nd enfolding and soon we will experience the 43th step, a Merge of the Left and the Right Brain of the Super Conscioussness, Adam Kadmon.

LINKS

About the Divine Trinity Pattern

How to Raise the Djed

About the Nine-Fold Pattern of the Egyptian Pesedjed

Everything you want to know about the Divine Proportion

About The Indefinite Dyad and the Golden Section: Uncovering Plato’s Second Principle

About the Self-Referential Structure of the Dialogues of Plato

About the Law of Three of Gurdjieff

About Sharika, the Mother Goddess

About the Metallic Means

Paul Steinhardt, About Penrose Tilings and Ancient Islamic Art

About Penrose Tilings and the Alhambra

About the Geometric Patterns in Ancient Structures

An interview with Roger Penrose about the relationship between Conscioussness and Tilings

A lot of information (including simulations) about the Cyclic Universe of Paul Steinhardt

A simple model for the formation of a complex organism

How life emerged out of one Quasy Crystal

About Quasy Crystals and Sacred Geometry

 

About the Trinity

J.Konstapel, Leiden, 29-12-2008.

The First Computer Failed because of its Complex Number System

The first fully programmable computer was Designed by Charles Babbage in 1837. Babbage failed to get enough money to Build his Analytical Engine. It was never build.

The failure of Charles Babbage delayed the creation of the current computer for about a 100 years.

Nobody knows that Thomas Fowler Designed and Implemented a completely different and simple wooden computer in 1840. The big difference between Babbage and Fowler was the Number System. Babbage used Base 10. Fowler used the Balanced Ternary Number System.

About the Ternary Number System

The balanced ternary number system is created by balancing Ternary (Base 3) Numbers around the Centre of the Number Line, 0. A balanced ternary number is a combination of negative and positive ternary numbers.

The balanced ternary number system is a very special Number System because all the basic mathematical operations, addition, subtracting, multiplication and division are accomplished by the application of very simple operations based on very special symmetries.

Symmetries are the foundation of Simplicity, Beauty and Elegance. The Engine of Fowler was a very simple and beautiful machine made out of wood.

I

In 1958 a Ternary Computer, the Setun, was build at the Moscow State University. It was never used.

About Number Systems

When you want to represent a number you can start with base 1. The number 13 is represented by thirteen “1’s, “1111111111111”.

Of course you are free to use other symbols to represent the number “1”. When you want to represent 13 goats you could use 13 goat-like symbols. When you want to represent many goats the sequence of goat-like symbols becomes very long.

The next step is to group the goat-like numbers. You could group them in binary groups (11 11 11 11 11 11 1), ternary groups (111 111 111 111 1) or in every other group you want.

In every case you have to assign new symbols like “1” → “-“, “11”→ “=” and “111” → “≡”. The number 13 becomes “≡ ≡ ≡ ≡ -“.

When you have defined a grouping method you can repeat this method. The only thing you need is a new symbol “x” to represent repetition, a symbol that represents addition “+”, a rule how to read the sequence (left to right, right to left) and symbols (“(,”)”) that show what has to be combined. ≡ x (≡) + ≡ + – now means 3X3 + 3 + 1 = 13 (and not 3x(3+1 +1) = 21).

If you want to use a high base number you need many symbols to represent the numbers of the group. If you use a low base number you need many symbols to represent the repetition. An obvious strategy is to minimize the product of these two quantities. The result of this calculation is the number 3 (or better the number e)!

About Ternary Memory Systems

The number 3 is the most efficient way to represent numbers. There is much more to say about the properties of the number 3. One of these properties can be used in Databases and Storage systems.

A Balanced Ternary Storage system can be easily expanded because you can always add a new entrance in the middle. The Balanced Ternary Storage System (represented by the Arabic Mystical Lote Tree) is one of the simplest and efficient storing methods of data.

What is the Reason behind the Blog

knots

I am writing this blog because I have spent a lot of time to research the Scientific and Spiritual Trinity. The mathematical and the spiritual theory about the Trinity have a lot in common.

The Trinity or the Ternary Number System is the most efficient, most effective and most beautiful (in terms of symmetries) way to Represent, Calculate and Store Numbers. The Trinity is therefore the most effective Way to Represent the Fractal Expansion of the Dynamic Whole.

What Happened?

The beginning of the Universe is a transformation of the Void (Ø) into the Nothing (0).

In the next step,  the Egg of the 0 became the One (1) that splitted into the Duality (2) to become Aware of Itself.

In this case the first sequence of creation becomes Ø,0,1,2.

When we rewrite this sentence in balanced ternary language we read something else. In this case the beginning of the Universe is an expansion of the Void (0) into a negative (-1) and a positive part (1). The first sequence of creation becomes Ø (zero members of the set), (-1,0,1)(3 members of the set).

In the ternary balanced language the next expansion of the Universe is created by expanding the negative and positive part of the Universe in the Middle. A new expansion is created by adding the same structure in the Middle of the Middle of the Middle.

1

Ø

2

-1

0

1

-1

0

1

-1

0

1

3

-2

-1

-0

0

+0

1

2

This expansion moves on until the system has replicated itself. At that time the expansion moves faster and faster and faster. The Self-Referencing System of the Universe, the “Divine Fractal“, is unfolding itself at an ever increasing (logaritmic) speed in a spiraling spiral pattern creating many more (negative and positive) Numbers.

At a certain point the Negative and Positive numbers are Voided in the Zero and the Universe starts to expand again.

The unfolding creates many universes and one of these Universes is our own Universe. All the time the center, the 0, the Void, stayed at the middle.

At this moment the lowest level, our level, is almost finished and a new Evolution, a Jump to a new Level, has to start. This Jump will be a Jump out of the middle, the Heart Chakra.

Is this Explanation too Simple?

This explanation is much too simple because the whole creation process is now projected into one dimension, a Line,  and we are looking at the third step of the Fourty-Two (3×13 +4) Steps that have happened until now.

worldclock

Every split of the universe creates a new dimension. The splitted parts of the Universe, the balanced ternary trees, are Rotating Structures that contain Rotating Structures.

They look like the image of the rotating World Clock of Wolfgang Pauli that is carried by the Raven (the Trickster, the Demiurg), the Four Beasts in the Vision of Ezekiel and the Sri Yantra.

The other complication is that the Universe is creating its own Space and is therefore closed in itself. There is no Outside of the Universe. We are not living Inside an expanding Balloon but are travelling the Inside Surface.

When the Universe has expanded for a very long time the many dimensions are still there but they show themselves in very complicated Topological Structures like (Celtic) Knots, connected Moebius Rings, the Symbol of Infinity and the Klein Bottle, the Basic Structure behind Alchemy.

It is simply impossible to show and understand the current complexity. The only thing that is very helpful is to realize that the structure behind  the Universe is a Fractal.

This means that that at every level the same structure repeats itself. When you know everything there is to know about One Level you know every thing there is to know about Every Level.

If You understand the Human Being, You understand the Universe.  This principle was called by the Ancient Scientists, “So Above, So Below” and “As Within, So Without”.

The Balanced Ternary Number System or the Trinity that contains the Trinity can be used to explain Your Self.

It can be used to explain the “strange” behavior of the Brain Trinity, a combination of a Whole, the Body, A Left and a Right Brain. The “Trinity Pattern” repeats itself in every part of your body.

The pattern of Seven (The Trinity in the Trinity) shows itself as the Seven Chakra’s. The next step, the Thirteen (3×4 +1 = 13),  shows itself in the Twelve Signs of the Zodiac (+ the Center, the Pole Star), the Twelve Apostles (+ Jesus) and the Twelve Knight of Arthur (+Arthur).

The Expansion of this pattern on a much deeper level also generates the  Acupuncture Points (Nadi’s) in Your Body.

Why is Science not Aware of this?

The main reason can be found in the story of Thomas Fowler. He invented a Very Simple computer system but he was beaten by the Complicated system of Charles Babbage.

Babbage used the 10 base to define his Engine and he needed lots of money to create this very complicated system. He never finished his analytical engine but many years later IBM almost copied his design when they developed the IBM 360. They were, like Microsoft, experts in Marketing. They sold what the Customer wanted to buy and never took time to think about the Essence.

Thomas Fowler was a very simple man. He tried to do his best and was never aware of the power structures that controlled science and the market at that time. He wanted to help people but helping people is the stupidest thing you can do in a capitalistic system.

When an infrastructure is chosen it is almost impossible to change the infrastructure because everything that is build on top of this infrastructure becomes obsolete when the foundation is wrong. We will never be able to introduce a ternary computer infrastructure unless something happens that breaks the upper layer. Some people think this time is near.

Simplicity, Elegance, Beauty and Efficiency are not the main object of Capitalism. The main object of Capitalism is Making Profit.

What is the best Way to acquire Scientific Knowledge?

Thomas Fowler was not educated in the science of his time. He just invented the mathematics he needed. When he was educated in the science of his time he could have invented the same machine but it is much more plausible that he would have invented another Analytical Engine.

Thomas Fowler used his own judgment and his own talent to create something he thought was useful to support his own banking system (he also created a Bank!).

The Balanced Ternary Database of the Universe was called the Akasha. According to the Ancient Scientists of India every memory of the past and the future is stored in the Universe. They believed we are part of a Super Mind and this Mind knows everything that has happened or will happen.

Some people are suddenly connected to this Super Mind. They are Enlightened and find a solution for a very complicated problem in a Dream or a Trance State.

One of the most important scientists of our time, Wolfgang Pauli, found everything he wanted to know in the Akasha. There are many others like Walter Russell (The Secret of Light) and Malcolm McEwen (The Lesson of the Light).

Strangely enough all of them receive or have received the same information.

What is going to happen?

The expansion of our Universe is getting into a critical state. This state is visible in all the fractal levels of our Universe.

It is visible in the Weather System, The Ecological System, The Economic System and the Cultural System. All of them are changing.

It is also visible in many Human Beings who experience the intervention of the Super-Mind in their Lives.

The big transformation must be visible in the Seven, until now not-connected universes. The other universes are currently shielded behind a Veil but this veil is slowly lifting. The movement of the Veil could explain the huge increase of Strange Encounters with Extraterrestials.

Our universe has been expanding and but very soon it will or may appear to stop. Our Universe may even begin to appear to shrink but it is not because it is reversing, heading towards some kind of big crunch but because it is folding, connecting to Itself, the Super Mind.

In the first stages of the Universe the Light was created but now we are entering a new phase where the consciousness of the Super Mind, is opening up to all the inhabitants of all the Seven Universes.

The opening of the Super Mind to all the Souls of the Universe has been named with many names in many religions all over the World (Ascension, the Golden Age, Point Omega, The Last Judgment, the Fifth World, The End of Time).

It is not clear what the connection with the Super Mind will accomplish. Many inspired scientists and prophets have tried to describe and explain this state.

One thing is sure it will be very different from the current situation where we are all isolated souls existing in many disconnected time-lines in many disconnected universes.

LINKS

Why the number e is the best base for a modular system

Joan Baez About Triality

Many Properties of Ternary Numbers

Many Properties of the Balance Ternary Number

Why the Balanced Ternary Numbers are Special

A Visualization of the Trinity Pattern with the Platonic Solids

The 4 Videos of Malcolm McEwen below contain a Visualization of the Trinity Pattern

McEwen, Video, The Lesson of the Light, Nr 1

McEwen, The Lesson of the Light, Video, Nr 2

McEwen, The Lesson of the Light, Video, Nr 3

About the Heart Chakra

About Plato and the New Harmony

About 2012

About the Center

About Boundaries

About Order and Chaos

About the Demiurg

About the Expansion of the Whole

How to Divide the Whole

About the Spiritual Trinity

About Alchemy

About Topology

About the Brain Trinity

About the Hermetic Principle (“As Above, So Below”).

About the Book of Triangels of St. Germain

About the Matrix and the Process Physics of Reginald Cahill

It is Impossible to be Objective

The Matrix

Are we Living in The Matrix?

The Movie the Matrix states an ancient belief that we are living in a Dream World.

In the old Gnostic version the Matrix is created by the Demiurg, the Creator of our Material Universe.

In the new version the Dream World is created by a Computer Simulator.

At this moment Physicists and Mathematicians are exploring the Concept of the Matrix and are achieving remarkable results.

Process Physics

One of these scientists is Reginald Cahill. He has developed a challenging theory called Process Physics.

Measuring the Aether

One of the most important experiments in Physics was the Michelson and Morley experiment in 1887. The aim of this experiment was to discover the speed of the AEther. At that time the physicists believed space (aether) was moving. The result of the experiment was spectacular.

Michelson and Morley found that the speed of light was a constant (now called c) and the Ether (Space) was empty and static.

Cahill (and many others) analyzed the experiments and many other comparable experiments and detected a fatal error. The fatal error was a scientific “script”, the theory of Newton.

At that time Quantum Mechanics was not invented. Cahill found what they were looking for, the Absolute Motion of Space.

Relativity Theory

The result of the Michelson and Morley Experiment was used by Einstein in 1905 to create his Special Theory of Relativity.

This theory has been verified by many experiments so almost nobody started to question the theory of Einstein. Cahill proved that the absolute motion of space is not contradictory to the experiments that verified the theory of Einstein. Einstein was totally wrong!

Quauntum Space

Everything that is, is Space itself and Space is generating Space. This statement is a “self-reference” and can be formulated as an iterative function Space (i) = Function (Space (i-1)) + Randomness.

This Randomness is the result of Quantum Mechanics.

Every Self-Propelling Extension of Space has a Free Will to choose a “direction”. This “direction” can be organized as a causal system in which case Time appears. In general “space” is trying to create a Space-Time that is the most predictable to give the objects in Space-Time a chance to survive and grow.

Cahill found the “Function” and suddenly many disjoint fields of physics were united. Like every other big “paradigm shift” the theory of Cahill is officially banned.

Attacking Einstein is “not done” because when the foundation of Einstein falls the new (old) Physics falls apart

The paradigm shift of Cahill is not really a paradigm shift at all. It brings Physics back to a very ancient track that was abandoned a 100 years ago.

What is Happening

Space now called Quantum Foam is creating Space. In this process of continuous creation, every possible form is created.

Space is Relational, a connector of forms, and the connectors have a lot in common with the cells in our body. The fabric of Space is self-referential which means that the creative pattern behind every form is basically the same.

Cahill shows that the creation of space, the creation of the Stars and the Planets, the creation of the body and the cells is based on the same iterative process.

This process can be seen as the calculation of a very fast quantum computer that is creating itself. Cahill has discovered the software-design of the Matrix.

The interpretation of the output of the quantum computer is done by a conscious mind but the conscious mind is also the output of the quantum computer.

The Mind of Space

The feedback-loops in the cell-like structures of self-propelling space can be seen as a giant mind (a neural network) that is split into many (in)dependent minds. One of these minds is the mind of the Human but cells, the body, the brain, earth, our galaxy, and the universe are also mindful.

What we are able to see depends on what we are able to see. If we want to look through the lens of Special Relativity we are able to get a long way. At some point we get stuck.

Our interpretation system is desperately trying to fit our experiments with our theory. We measure what we want to see and we are able to get a long way. We develop instruments that contain our current theory and we prove the theory we want to prove.

Is there an end to our Interpretation System?

Our interpretation system fails if we don’t see a structure anymore. At that moment we think our interpretation system is seeing Chaos but Chaos is non-existent. Chaos is an interpretation of something we don’t understand.

The Limits of Chaos are just like Space extending every time we embrace a new form. Our Knowledge of our Reality expands just like the creator of forms, space, is expanding.

There is a Limit to our Understanding. This limit is the smallest self-referential pattern that is able to generate every form there is. Finding this pattern, the Essence is the Quest of Mathematics.

Wolfram

One of the most briljant mathematicians, Stephen Wolfram, the founder of Mathematica, a software package to program mathematics has spend many years, playing with his own software, to find this pattern. He even created a completely new science, a New Kind of Science, to explore this issue.

The mathematician Chaitin has proved that we, the Humans, are unable to find this pattern, with the help of programming languages and computers. He proves that we are able to get a long way but at a certain moment, Time is going to bother us. We will simply not be able to beat the speed of the creative wave of ever-expanding Space.

Is there an end to the expansion of space?

In our current thinking space looks like a bubble and bubbles can be expanded into eternity. The new forms of space are different

The interpretation of space is changing and space could be expanding until eternity in a closed system.

Space could be bounded by itself. It is not impossible that space could find another form to expand again and again.

If space is creative and mindful it could create every space that is possible but we the Humans have no idea what this could be because we are moving behind space itself.

If we could become space itself we could imagine everything we wanted.

How could we move out of the Matrix?

We are a part of the consciousness that contains the consciousness that..

If we merge the splits in our simulated consciousness and merge the splits between our consciousness and the consciousness of the other simulated consciousnesses and ….we could move out of the Matrix.

What are we doing in the Simulator?

The ancient Gnostic Mystics believed that Our Universe was created by Demiurg, the Great Architect. The Demiurg was a “high level’ Consciousness that was allowed by the Creator (The Light, The Void) to create a Universe that would speed up the awareness of many “splitted” consciousnesses, The Sparks of the Light.

The Earth Simulator is a Learning Device and every Soul is allowed to enter the Simulator to (re-)play a Game.

When the Soul enters the Matrix his memory of past lives, other games played, is erased (the Veil). On Earth we are playing the Games we have chosen. When you are aware of the Game you are able to move out of the Simulator to move to another place to play different games of creation.

What are the possibilities when you leave the Simulator?

Create Your Own Universe. You don’t need to be a Game Designer to do this. The Simulator is already in place and Old Designs are never repeated in the Multi-Universe.

LINKS

About the Self-organizing Universe

Our Universe could contain tiny Universes we are not aware of

How to compress space

Reginald Cahill, About the Michelson and Morley Experiments

Constructur Theory of David Deutsch

A lot of documents about Process Physics

About the Geometry of Change

About the Chinese Domino Game and the Magic Square of Lo Shu

Old Games always contain a Mystical meaning. They contain a Code. Over and over again the same Code is implemented in many games.  This blog is about the Chinese Domino Game.

The Old Chinese Masters made a distinction between the Square and the Circle. The Square was related to Human Creativity (Playing the Infinite Game of Life). The Circle was related to the Cycle and the Spiraling Spiral, the Fundamental Laws of the Universe.

The meeting of the Square, The Game,  and the Circle, Fate, generates Luck, Coincidence or Synchronicity.

The Chinese Domino Game Set is created by a throw of two six-sided dices. There are therefore 21 unique patterns. The 22nd pattern , the whole, closes the circle.

A tile is divided into two suits called Military and Civilian. The Civilian tiles are the Upper Triangle in the Matrix generated by the 36(6X6) throws of the dice. We find the same division in the Old version of Chess. The Civilian tiles are named and ranked according to their Level (Heaven, Earth, Human).

Each civilian tile has a Chinese name : The 6-6 is tin (天 heaven), 1-1 is dei (地 earth), 4-4 is yan (人 man), 1-3 is ngo (鵝 goose or 和 harmony), 5-5 is mui (梅 mei, flower).

The six symmetrical tiles (1-1, 2-2, ..) are the Basic Powers in the Universe (Earth, HuMan, Fire (Growth), Heaven, Center,..). The other Tiles are Connectors between the Powers and the Levels.

Chinese language is a Pictorial language. The Pictures are related to Sounds (morphemes). The oldest version of Chinese consisted of only Four Tones. The meaning of the language is highly Context-Dependent.

Numbers are also Context-Dependent. You have to know the modulus to understand what a number means. In the West we are accustomed to the use of 10. The number 13 means 10+3. In the “Old Days” other numbers where used.

When we move back to the Domino-Game we see that the base-number is 6. 1-3 (meaning Harmony) is really 6+3=9 in our notation based on 10.

A Magic Square is combination of numbers where the numbers in all rows, all columns, and both diagonals sum to the same constant. One of the oldest Magic Squares is the Lo Shu Square. It was given after the Great Deluge to the Mythical Emperor Lo Shu by a Magical Turtle. The Turtle is the Symbol of the Star System Orion.

4 9 2
3 5 7
8 1 6

The Lo Shu Square is a Code. If you follow the “numbers” 1-9 a Pattern emerges called the (generating) Sheng Cycle. When the numbers are added the number 15 (3X5) appears. The number 15 represents Three Times the Center which again indicates that there are Three levels. The three levels enfold into 7 levels when we apply the movement, the Spin, of the Cycle (Left-Handed, Right Handed).

The Left-Handed cycle is called the Destructive Woe Cycle. The Generating Cycle is voided by the Destructing Cycle (-1 + 1 = 0). The number 7 is 2X3+1 (-3,-2,-1, 0, 1, 2, 3).

The division of the numbers 22 and 7 generates an approximation of the number pi, the Squaring of the Circle. It binds the Game of Life (Square) to the Laws of the Universe (Circle).

The 5 represents the Center and is called the Force of Life (Chi). Chi was called Ether in the West and Prana in India. Ether is called the Vacuum in Modern Physics.

The Magic Square is a representation of a Topological Structure called the Moebius Ring. The Ring is a Cyclic Structure without a Boundary. The Ring is the Basic Fractal pattern. The Universe is a Closed Self-Referencial structure, a Spiraling Spiral. The Ring enfolds in a Ring and the Enfolding is a Ring.

The Magic Square can be expanded to the 64 (8X8, the Checker Board) hexagrams of the I Tjing.

In the Game of Chess the Pawns are moved along the lines of The I Tjing. They create a Pattern just like the Game of Domino creates a pattern.

Both Games were played by Four Players, The Four Forces. The Games are a simulation of Life (or Earth or the Universe).

The Magic Square is also the basic pattern behind Acupuncture, Feng Shui and Astrology. The Magic Square Forces the Forces to Cooperate. They have to stay within the Limits of 15, the Upwards Spiral.

To move back to the Center (The Void) they travel back by the Downward Spiral. The Up/Downward Spiral is the basic Fractal Pattern of the Universe.

Again we move back to the game of Domino.

The Domino Stones can be seen as Numbers with a base 6, Characters with a meaning (1-3 (=9, the end state) means Goose and Harmony), Sounds, Colors and connectors in the Magic Square. In this case there is a relationship to the Human Body, The Living Context (Feng Shui), The Planets and the Galaxy.

The 21 unique throws of the two six-sided dices can be rewritten in a combination of two Lo Shu 3×3 Magic Squares in which one square is the negative of the other and the zero is in the middle ((-1,-2,-3,0,1,2,3) x (1,2,3)). It represents a combination of a left- and righ hand turn of the Cheng Cycle.

The Old Masters believed in a self-referential Universe. The “Fractal” pattern repeates itself on every Level. At this moment Scientists start to believe the same.

The Magic Square was given to mankind after the Great Deluce by a Mythical Entity, Half Man, Half Serpent. He came from an old civilization that was situated in MU. His Knowledge came from the Star System Orion (The Turtle).

The Egyptian name of this Magical Entity is Thoht, Tehuti or Djehuti. The Greek named him Hermes “Three Times Great” (Trismegistus) which relates him to the number 15 (3X5) of the Magical Square. Thoth was the keeper of the Secrets of Osiris (The Planet Sirius). Thoth was the Moon-God and is represented in old paintings as ibis-headed with the disc and crescent of the Moon. Hermus Trismegustus inspired the Magicians in the Middle Ages (John Dee) and new “mystical” groups like the Rosecrusians and the Free Masons.

Thoth came to Earth to teach mankind. He made all kinds of calculations about the Heavens, the Stars and the Earth. When he was finished he returned to Heaven (Orion?). When Earth is in a huge crisis he will come back. His knowledge and calculations were put into the Sacred Books of the Temple put unto 36535 scrolls that were enclosed in the Hall of Records. The Keys of Thoth were put into a Calendar. The Egyptian calendar was based on the Moon Cycle. They synchronized the Moon Cycle with the Cycle of Sirius. Sirius in the star system Orion rose every 365 days. The Egyptian Year started when Sirius appeared (June 21th).

Thoth came from Sirius (Al Shira, The Shining One). Interesting enough all the other Serpent-Kings came from the same Star System. All the Serpent Kings created Pyramids (even in China!) and the Pyramids are a “Simulator” of the Orion System.

Thoth will Return. We will be warned about the Rebirth of Thoth when something happens with Sirius. In a Hopi Myth Sirius is called the Blue Kachina. When the Blue Kachine drops its mask (or veal) the Fifth World will appear.

Let us move back to the Game of Domino.

Vladimir Pakhomov wrote a book called the Message to the Unborn. He used the Game of Domino to encrypt the Code behind the Code. The book contains more than 500 pages to explain his theory.

When he placed the Chinese Domino game in a Magic Square of Lo Shu and used the Orion System as the Central Code the code behind the code showed itself.

He named his book Message to the Unborn because he shows that our Ancestors from the Stars not only gave us a warning. They also gave us Tools to Save Mankind. The Tools are Magical Incantations (Tones and Sounds). Perhaps it is Very Easy to Save Mankind!

LINKS

About Mehen, the Spiral Game

About Thoth

About the African History of Ancient Egypt

About the Djed-Pillar, the Egyptian Serpent

About the Nine Spiritual Bodies of Egypt

About Egyptian Physics

About Heliopolis, the Ancient University of Egypt

About the Hyperdiamond

The Monster
The Hyperdiamond

The beauty of our Universe is highly related to what mathematicians call symmetry. A structure is symmetric when it is possible to find a function that maps the structure unto itself.

A simple example is mirror-symmetry. In this case the structure looks the same when it is reflected in a mirror. Another example is rotational symmetry. The structure returns when it is rotated.

The symmetries can be combined to create more complex symmetries. For more than a century mathematicians are trying to create a periodic table of elements of all the possible symmetries called symmetry groups.

The “classification theorem” of such groups, also known as the “enormous theorem” (requiring over 15,000 pages to “prove”), states that the periodic table can be classified completely into 5 groups.

In two dimensions the symmetry-group contains 17 types of symmetrical transformations. All of them are visible around the walls of the Alhambra.

One of the five groups is made up of exceptions to the regularity of the others. These exceptional sub-groups are known as sporadic groups.

Attention has long been focused on these 26 exceptional sporadic groups. The largest of these, incorporating 20 of the others, has been named the Monster — the most exceptional finite symmetry group in mathematics.

bolletjes
Packing spheres

It is a giant (hyper)Diamond in 196,884 dimensions composed of more elements than there are supposedly to be elementary particles in the universe (approx. 8 x 10**53).

The Monster is something special but what makes the Monster spectacular is that it showed a strange connection (called Moonshine) with a very different part of Mathematics called Number Theory.

Recently I read a book about this subject by Mark Ronan called Symmetry and the Monster.

Kissing-3d
The maximum of 12 spheres can be packed in the 3rd dimension

Mathematics and especially Number- and Group theory are very hard to understand even for mathematicians. It is a very special specialization.

Number Theory was one of the most important issues in the Mystical Schools of the Old Scientists.

Pythagorus and of course the mystics in the East were very interested in the patterns behind the Beauty of the Universe. Number was the unifying concept necessary for understanding everything from planetary motion to musical harmony.

They believed the Universe was based on integer numbers (1,2,3,..) and the Monster shows that this could be the case.

One of the magic numbers that would have exited Pythagoras is 24. It is a magic number because the sum of the square-roots of all the numbers 1 to 24 is equal to the square of 70.

The sequence of 1 to 24 is part of a 26-dimensional Lorenz-space that is highly connected to the monster and moonshine. A Lorenz-space is an extension of the space Einstein used called Minskowski space. This space connects space with time. The Monster suggests that we could live in a space of 24 dimensions instead of 3.

24-cell
The kissing number in 4 dimensions is 24. The cells can be connected to the 24d hyperdiamond.

The interpretation of all this in normal language can be found by the relationship of the Monster to a special surface called the Leech Lattice. The Leech Lattice is created when we package spheres.

The Leech Lattice has the highest Kissing Number. This number is 12 in 3 dimensions. In the third dimensions we are able to package spheres that touch other spheres at 12 places.

The Monster connected by Moonshine to Physics (String Theory) shows that our Universe consists of an enormous amount of Bubbles called Quantum Foam. We live in the Universe where the bubbles are touching with the highest kissing number possible. 

LINKS

About the Universe of Bubbles

About the Symmetry of the Sri Yantra

About the Infinite Game

In the Western World many people play the Analytic Game. The Analytical Game resolves the conflict between the Facts of the Senses and the  Models, Rules and Norms of the Human Prediction System, the Expectation (often called Thinking).

The complementary Game is what Will McWhinney and his friend Burkhard Sievers, called the Game that Creates New Games.

James P. Carse (A Vision of Life as Play and Possibility) calls this game the Infinite Game. Perhaps a much better name would be the Game of Life.

Infinite players play with rules and boundaries. They include them as part of their playing. They aren’t taking them serious, and they can never be trapped by them, because they use rules and boundaries to play with.

The players are always busy to continue the Game of Life by creating new Games.

They love to play but the aim is not to win because winning ends the game.

The Infinite Game is a Game where the Imagination and the Emotions are playing their roles. The Emotions e-valua-te and the Imagination creates.

A very important distinction between the two Games is Context. The Analytic Game is “above the Context”.

It uses the Abstractions of Maps and Diagrams. When you use a map to travel you will never see the real territory.

The Game of Life is “in the Context”.  In this game Life is a Journey. You will meet people you will never meet when your life is completely planned and you will see places nobody has seen before.

Life Above the Context is dull and predictable.

Life In the Context is an Adventure and Full of Risks.

Evaluation is a Context-Dependent Process. It takes into account that every Situation is unique and needs a unique approach.

The Game of Life is about Improvisation. You listen to the Rythm and the central Theme and start your own variation that is “in line with the flow”.

Sometimes you are the person who starts a new rhythm and a new theme and others follow you. You are there at the right time and the right moment.

Timing is essential in the Game of Life.

The Game of Life is about the Tao and Synchronicity. Things happen by accident but the events are meaningful. They are created by the Imagination.

The Game of Life is about Magic. You are the creator of your own reality and your creation bounces back on you. Reality produces signs but the signs are the result of your own creation.

Your personal Magic becomes much stronger when you have a vision and you believe in this vision.

The Game of Life is about belief and not about truth. You know there is no eternal truth because everything changes but behind the changes is an emerging pattern.

The pattern is chaotic and structured. It arise out of the Whole and moves back into the Whole.

The Game of Life is the game of AND. Life is a contradiction, an eternal conflict, a dilemma because meaning is created by “making the difference‘. It is the Comm-Union of Diversity.

The Game of Life is about Spirit (Imagination) and Soul (Emotion).

The Game of Life is Immortal. When the Fire of the compassion of your soul and the Light of your spirit becomes One with the stream of Creation  you will live for ever.

The Game of Life is eternal and new Games are created all the time.

The Games are not competitive but collaborative.

The Game is fueled by Ideas and Ideas are abundant. Some of them stay for a long time. Other ideas just arise and move away like clouds in the Wind.

The Game is Life is a Field. It contains (Standing) Waves and Waves merge without any problem.

The Game of Life is the Game of Music, Dance and Poetry. It does not force. It gives you the freedom of your own interpretation, your own mood.

The Game of Life is a Spiraling Spiral.

The Game of Life is about Values and Quality.

Your personal Values help you to evaluate and Quality is what you want to accomplish.

Quality is the complement of Quantity.

It is something the Numbers and the Names are unable to Express.

How the Baby Boomers stopped their own Revolution

When I started to work in 1976 I never heard of something called HRM. My boss hired me.

He discussed my salary and gave me the assignments.

The salary of my colleagues was a secret. I also did not know why my salary was raised. It just happened.

Three years later I was promoted to manager (group leader). I was very surprised this happened.

My new manager (called a section leader) handed me the files of my employees. I had to take care of them.

They contained many secret documents about what the former managers thought about the employee. At that time the managers talked about the employees in complete secrecy.

We, the New Managers, did not like that. We opened up the secret files, destroyed the “not-objective” data, standardized the data and put the data in a Database later called a HRM-System.

Suddenly I was the one who was responsible for hiring and firing. Every group-leader was different. I was always very open to my employees. We worked as a team to create and maintain software-systems.

I loved to program and design and I never felt the need to stop this. Managing my group was simple. It took about 1 day a week. In this day I had to attend meetings with other managers.

Other group-leaders (mostly much older) were spending all of their time managing their group. I soon found out that they were really managed by their group. They were unable to resist the informal power of some of their employees. When the new salaries were fixed some of them got a lot of money. This became known in my group and I got into trouble.

Why is he paid more than I am paid? He is really doing nothing!

I went to talk with my colleague but he did not want to talk. I talked with my section-leader and I found out that my colleague was his personal friend. He “covered his ass“.

At that time there was a big difference between an employee and a manager. When you became a Manager you became part of an Elite with its own Privileges and Culture. The most important Rule was that people of this Elite always covered the ass of the other members. We, the New Managers, did not like that and we started to destroy the Old Management Culture.

The other group-leaders experienced the same situation. We started to talk about this issue at our Section-meeting. After many discussions we went to talk one level higher (the director). The end result of all our actions was a revolution. We removed all the old powers and took over.

This also happened when I was a student. I was part of the baby-boom-generation that reorganized society. We were the revolutionaries that wanted to create a better society based on the principles of the new age of Aquarius.

Now almost 30 years later my old colleagues and I have created a System that is blocking everything they stood for. Just like my section-leader they want to stay in power.

The big difference between 30 years ago and now is that the New Revolutionaries have to change a (Software) System. It is impossible to detect the Human Cause of all Evil.

We,  the Baby-Boom Managers have standardized almost everything. The Systems have taken over Control and the Sad Thing is that almost nobody knows what the Systems are really doing. They live a Life of their Own.

It is almost impossible to reach consencus because many many specialized managers are involved and they all defend their own territory. The Sad Thing is that almost nobody knows what their Territory really is about.

Everything is Magically connected to Everything Else by the PatchWork of Overlapping Systems. A Problem in One Area suddenly comes back in a completely different Area.

The only way to accomplish something is to play the Game of Politics. To play the Game of Politics you need to make friends and you have to stay in the right coalition.

To do this you sometimes have to abandon your friends to reach the Goal. The effect is that nobody trusts nobody anymore or friends are covering the Ass of their friends. The effect is that many incidents are covered up. The effect of the cover up is that many people don’t know what is really happening or (worse) many people know what is happening but discuss the issues in a secret place.

The effect of this is that many people are not working at all. They are gossiping all the time. The effect is a loss of productivity and the only Solution we can think of is to implement more Systems.

The most important effect is a Change of Focus. The focus is directed inside the Company and not outside the Company. Outside the Company somebody is providing the money to play the Game. He or She is called the Customer.

The Systems have transformed the Customer into a Standardized Object stored into a Computer.

The Systems have completely Blocked the View on the most important Asset of a Company, the Human.

What Happened?

We developed a system that wanted to treat Everybody the Same Way.

How did we do that?

Step 1: Classify what everybody is doing (programming, designing, project-management …).

Question: When somebody is capable of everything (a talent) what do you do?

Answer: Always start with the lowest classification in this way people believe work is moving Up.

Step 2: Define a Career Path.

Step 2.1. Define Low (junior), Normal and High (senior). Take care that this is a normal distribution. If you do that people keep the believe that a Senior is better than a Junior!

Step 2.2. Define importance. A designer is more important than a programmer. Manager is more important than designer.

Question: Why is a something more important than something else?

Answer: Something is more important when we pay a higher salary. If we do that people start to believe that money is the most important motivator.

Effect: Everybody wants to become a manager because a manager is the best! The negative effect is that a manager does not like the employees in his department who are better. They are his competitors.

Step 3: Define a test to prove you are allowed to move to the next level.

Question: What defines a talented programmer?

Answer: He has finished his training.

Effect: Employees have to spend a lot of time to pass exams. Training becomes more important than experience. People start to act out of the book.

Step 4: Create specialized departments (Training, Security, Data Management, ..).

To save money we started to train people outside the company. The teachers did not have any experience. They knew what was written in the books that were written by people that did not have any experience in the field they were teaching.

Later the teachers changed into consultants and started to tell the employees and the managers how to do it. Doing the trick is easy. Inventing new tricks and implementing the new tricks becomes very difficult. You have to convince many managers.

Effect: Innovation is tricky bussiness. You have to take a risk and when you fail you are out of the carreer-race. Old approaches are implemented with a different name.

Step 5: Create departments that are testing if the employees are doing what the trainers told them to do (Quality Management). When they don’t do what the trainers told them to do we just don’t promote them.

Effect:

Everybody is Equal.

I hope you see what I am trying to show you. By treating everybody the Same Way we finally have created the Same People.

The top (talent) and the bottom (sick, problems at home …) are gone.

We have Equalized the Population.

The steps 1 to 5 are not the only steps. The System has improved itself all the time.

Before the division employees took care of other employees. We have designed a special approach to take care of the sick and other causalities. This has given them a negative status.

The effect is that some of them deteriorate and others are afraid to tell what the matter is. They go on when they are sick or they ignore the problems at home.

The effect is more problems at home and/or stress-related diseases (Burn-Out).

We have divided managers in groups. Some of them manage resources (!) other use the resources.

The effect is the loss of the team-mentality.

We have divided resources into internal and external resources. We hire them from a specialized company.

The effect is a loss of company-pride a higher level of the team-mentality.

We have automated almost everything to speed up efficiency. The effect is that we have to know the number (the unique identifier) to know about people. We are unable to enter unique information about a person. They are standardized on a higher level.

We have created a special department called HRM. They are managed top-down.

The effect is that at every level we are unable to create a unique solution for a unique situation.

What To Do?

Work in teams.

Start to talk with the employees again.

Be honest and open.

When you feel somebody is special give him a special treatment. Explain this to everybody.

Don’t be afraid to take responsibility for what you have done. Admit mistakes.

Don’t store everything in a database. Forgetting something is a positive thing. It makes is possible to start all over again.

Don’t specialize too much. Get rid of all the departments that are too far away from your primary process, servicing the customer.

Rotate. Don’t keep a person too long in a specialized job. Give experienced people a change to teach or to specialize but never keep them in this job for long.

Stop politics. Never allow that people are playing games with people. Fire people who are playing dirty games.

Surprise people. Don’t plan careers. Give everybody the idea that everything is possible.

Stop the gossiping. Give everybody a change to tell what they don’t like and listen.

Demote. When somebody is incapable to do his job give him the job he is capable of and give him the salary of the job. This stops the expectation that everything always has to move up. When somebody gets into trouble when he is demoted make an exception.

Give employees a chance and the time to help other employees.

Don’t hire too much people outside your company. Give priority to teach your own employees to learn the trick of the outside specialists.

Give your own people the time and the tools to innovate.

Hire outside specialists to do the things that are already stable and repeatable or better automate these activities. They are most of the time very boring. This is a very usefull indication to use IT.

About the Paths of Change of Will McWhinney

Will McWhinney
The Navajo Pollen Path inspired Will McWhinney to write his book Paths of Change

Oh, beauty before me, beauty behind me, beauty to the right of me, beauty to the left of me, beauty above me, beauty below me, I’m on the pollen path.”

In 1992 I met Will McWhinney.

Will became the most influential person in my whole life.

Will wrote just one book called Paths of Change.

Paths of Change is based on the ancient Navajo Pollen Path.

Will was an expert in the myths and culture of the Ancient Tribes that lived in the Four Corners-area of New Mexico.  Every year he organized a seminar in the Ghost Range for his ex-PHD-students. I visited many of his seminars and fell in love with New Mexico and the ancient cultures (Hopi!) that live in this area.

Will tried to write a second book called Grammars of Engagement. The book is about Coupling or Entrainment.  For about ten years we discussed many of his ideas.

Unfortunately his book was never finished. The reason it was never finished can be found in Paths of Change. Will was not able to apply his own theory. Strangely enough this proves his theory.

Let me try to explain the theory of Will. The theory of Will is based on his reflection about the Practice of Change.

He did not write the book alone. He discussed his intuition with all his colleagues of UCLA (University of Los Angeles).

What they wanted to resolve was a very strange pattern behind the failures of Personal and Organizational Change.

Will and his colleagues found out that the explanation was simple. Human beings don’t think the same. They are unaware of this. Almost everybody is convinced that all humans think the same. This is the main reason why many people don’t believe the theory of Will. This again proves the theory.

Will discovered four basic ways to think. He named them Mythic, Social, Unity and Sensory. The four ways are completely independent.

The consequence of Path of Change is that You reader when you are not of my world will read this article and think you understand what I am trying to say but in reality you understand something else.

The Chinese Pollen Path

When I meet you you will prove this when I ask you to explain what you think I am trying to say. The only way to explain the theory is to detect your worldview and use your language to tell the same thing.

When I do that you will think I am explaining a different theory. Probably you will ask me why I have changed my point of view (= world-view) and I have to explain you in your language that I did not do that. This will cause the same problem. You will think I am inconsistent.

When you are living in a world with only one world view you are according to all the Best Practises in Mental Ilness (Interpersonal Theory) highly disturbed.

Many people are able to think in two world views. They are able to switch from one world view to the other.

The amount of different combinations of Two of the Four Worldviews is Twelve (4×4 = 16 but 4 are the same x the same = the same -> 16-4 = 12). Will named the 12 Duals Games but you can also call them Apostles (with Jezus at the Center 12+1 = 13), Knights (of the Round Table with Arhur at the Center) or Constellations (of the Zodiac with the Sun at the Center).

Some people are able to switch to all of the world views. When you are able to switch to the worldview of the other you are able to explain the same thing differently. You are able to look at the world with a shared view.

The four worldviews in the book of kells

When both our worldviews are the same we will agree on everything but both of us will not see the others. This is the main reason why people with shared worldviews join in all kinds of cooperation’s. They join because they need a secure place that shields them from the strange outside world.

It is also the reason why people with different world-views leave a cooperation in due time. They feel the others don’t understand them. Clusters of shared world-views become highly inflexible when the outside world changes.

When you are a Sensory you will say “what I read until now is highly theoretical. I want to see facts and prove. Is the theory of Will tested?”.

Although Path of Change is Best Practice you will not accept what he is writing. You want to experience the theory yourself and perhaps 20 years later you will write a book telling the same thing. You will write a book full of examples because you love examples. You will be convinced it is telling something very different Will was telling. Happily Will has also written a book that uses examples and cases to help You.

Luke the Evangelist, the Social

When you are a Social you want to know the opinions of important social scientists and others you feel are of importance. You believe important people are telling important things and you have never heard of McWhinney so his theory is not important to know.

When you are a Unity you want to know the Rules. You want to be told what to do and most of the time you do what the Rules tell you to do. The book Will has written is without Rules it contains concepts and ideas. You think concepts and ideas are not concrete. You even don’t like some of his concepts because they are not according to the concepts you think are true. They are violating your System of Thought. You believe in absolute truth.

When you are a Mythic you believe everything is possible. Life is full of opportunities. You generate ideas and concepts all the time. A Mythic creates his own unique theory and his theory is really a theory about himself. A Mythic is unaware of this. To become aware of this he has to face the facts. He needs to switch to a Sensory world view or accept the view of an other who is able to see the world this way. This is very difficult for a Mythic because a Mythic is very Will-full.

john the evangelist the mythic

A Mythic is convinced he is the only person who understands the World and some day the World will understand what a genius he is. This will never happen when he is alive. Mythics become a Myth when they are dead.

A Mythic is also an artist. He produces paintings, poems and even theory but his theory is mostly incomprehensible for others just like poetry.

Only Mythics understand Mythics. They feel the Field of Meaning. A Mythic does not understand that the others don’t understand him because his poetry is `the way it is`. It tells everything there is to say.

Will’s basic patterns were Mythic and Social. He was also able to switch to Unity. His blind spot was Sensory. Although many people were very enthusiastic about his book he did not see the facts about his success.

As a Social he focused on the recognition of important social scientists. At the end of his life he was very sad about this. As a Mythic he was convinced his theory was simple and easy to understand. This created even more sadness. Sadness and depressions are the mental illnesses when a Social becomes too Social.

Why was Will unable to finish his book? A Mythic is a highly creative person. He was constantly generating new ideas and concepts. The book was changing and changing and changing because Will wanted to create the perfect book about Engagement. Every version of the book he created was a jewel of poetry and insight. Will wanted to create the perfect book and striving to perfection is again an act of a Mythic. Will was falling in the trap of his own world-view.

What Will also did not realize that he was really writing to understand himself. Path of Change and Grammars of Engagement were a personal quest to understand the real Will McWhinney.

Mark the Evangelist, Unity

In the last year of his life somebody asked him to write his life-story. He tried to do this. He became aware of the fact that his whole life was centered around one personal quest. He wanted to find harmony. He never found harmony because a Mythic is on a Quest and the Quest never stops because every time when he has found the Grale he will start to look for a new Grale.

In Grammars of Engagement he started to write about Harmony.

A few citations out of his unpublished manuscript:

All communication arises through coupling. 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. Coupling, the instrument of coordination, is established by the physics of exchange and by traditions that associate both human relations and communications with music: harmony, rhythm, tone and tune”.

Just right’ communication work because it allows systems to exchange energy, thus information, through entrainment. They dance to a just right message. The communication follows from exchanges that take place as the systems draw each other toward a common resonant mode. Systems communicate in the process of being more similar, approaching a harmonious state at least in the domain of the communication. Entrainment stops short of perfect harmony. With perfect harmony there is no exchange. ‘Just right’ is becoming close to harmonizing”.

What Will is describing is a dialogue. Will was always playing with his own thoughts. He was busy with an internal dialogue called Reflexion. Intense reflexion is a Mythic Process. When you only talk with Your Self there will be no difference. You are similar with yourself and the internal dialogue stops. You are in harmony.

matthew bull

To make a difference you have to introduce others like your wife or your mother. People talk internally and externally with many voices. Most of them do this without noticing. They are not aware of the many personalities they are. They are not similar to themselves and therefore “out of balance”.

To become balanced they need to talk. A huge amount of conversations (gossip) are aimed at creating an internal balance. To find internal balance people look for people that are similar. Again they need a secure place that shields them from the strange outside world.

When people are constantly moving in similar environments they will never find their Kernel, The Self. It will be watching unable to interfere in the many dialogues that are taking place.

When the Self is unknown, people will not accept the theory of Will. They will be switching from one theory to the other without finding rest.

When they find themselves they will not need the theory of Will because they will be able to play with all the world-views. This is a paradox. It also proves the theory of Will because Will tried to explain that Life is a Paradox.

Another citation: `The process of coming close to harmonizing is visible in an old example. Automobiles and farm machinery once had clutches. These clutches consisted of two plates, one attached to the driver motor, the other attached to the wheels, thrasher, or rotary saw. When the operator ‘let in the clutch’ the two plates moved flat up against each other. As the clutch ‘comes in,’ the driver plate begins to transfer energy to the follower plate getting thus it to turn. At first, the clutch slips and most of the power goes to grabbing, which produces heat. Increasingly the driving plate turns the follower. With full ‘letting in,’ the two turn together. There is no more heating; they form a unit with no further visible communications. The coupling established at the molecular level joins the material of the driver and follower plates in transmitting power to the wheels and cutting blades. This clutching sequence is a model of entrainment. We can recognize similar entrainment sequences in many other situations: a spoon stirring batter in a bowl, cellular protein molecules latching onto antibodies, two persons entering into conversation, and 100,000 people being captured by Marion Anderson singing God Bless America at the Lincoln Memorial

Will was unable to operate his own clutch. This was really visible when he was driving his car.

The Magician, The Mythic

He was a staccato person. He loved to work with steel and stone. He was a sculptor. His art was concrete. He loved to practice what he preached but he always practiced his theory in the outside world. He loved to help others but never wanted to be helped. This is the sad consequence of a Mythic/Social-combination.

Will showed that all the combinations are games and the Mythic/Social-game is the game of creating new games. A Mythic Social is an innovator. He is always on the front-line.

He does not see that his inventions wil be taken over by other World-View combinations that are highly practical like the Unity/Sensory-combination, The Expert.

Expert always think they have invented things themselves and never give the Mythic/Social the credits. This is a fact of life but Mythics don’t accept the facts of Life.

His books are wonderful pieces of English words I never heard of. He was a child of a highly educated family in Boston. His mother and father did not love him. They wanted him to become somebody. At the end of his life he was convinced he had failed to satisfy the ambitions of his parents. He told everybody this was the fatal trap in life.

Will was not only a Mythic but also a Social. Socials are highly influenced by Others. Of course parents play the most important role because a young child is incapable of resisting their influence. The Self of the young child is watching.

The Fifth World Views, The Center, Consciousness

In the internal dialogue of Will his mother plaid a very important role. In his external dialogue he looked for a similar person and his wife plaid that role. He was unaware of this. He was constantly fighting the mother in his wife without noticing she was a different person. His wife plaid the same game. Will was her father and she did not notice Will was really looking for love and harmony.

Will promoted ”Just right” because ”With perfect harmony there is no exchange”.

Another citation:”Too Large—Overloads. Highly energetic perturbations overload a system, tearing apart the autocatalytic loops that hold its definition. Too much energy bifurcates the stable basins of a system’s memory and ultimately violates its autopoietic identity. The overly energetic perturbations leave open non-reflecting fragments of nodes: neurons, bits of stories, and social customs. These fragmented networks are no longer able to hold meanings or link to memory traces. Short of total destruction, strong perturbation will wipe out the fine structure of a receiving system, leaving it only able to operate in those sequences enforced by the invasive perturbation. To protect the networks of connections, electrical and mechanical systems have features to handle ‘over-modulation.’ With appropriate design, they digitize signals to compress the spectrum, thereby allows the message to be accepted. Human systems have a variety of means to block or censor invasive signals that violate our senses and psyches. Some at the physiological level block the energy that carries the messages; others receive, understand and reject the overwhelming impact. Blocking and the use of censorship disconnects us from the environment and preempts the discrimination they would our systems had more capacity”.

The Paths of Change of the Hopi

Wills communication was Too Large.

He was a genius and his wife a normal person. He did not realize this.

His knowledge and experience was so enormous that he overwhelmed everybody.

He was looking for a dialogue but in every dialogue and project he became the leader.

He was a guru but he did not want to be a guru.

He was a child longing for his mother but he never wanted to be touched.

He cared for everybody but not for himself.

He was fighting but he wanted peace.

He wanted to create a better world but the outside world was moving into the wrong direction. He did not accept the Cycle.

He always wanted to cure himself. He wanted to find the eternal youth and searched the whole world for new treatments and medicines. He did not believe in the medical system but at the end of his life he needed the system desperately. He never listened to the experts so they left him alone.

He preached meditation but he could not calm himself.

Will was the prove of his own theory.

He was a living paradox.

What Happened?

The personality and the vision of Will McWhinney attracted many Mythic people. All of them started to play with the theory of Will in their own way. Soon it became very clear that Will had re-discovered a very ancient theory of Life.

A pastor found a relationship between the World Views of Will and the Four Apostles (see pictures in this blog). He  discovered that the Four Books of the Evangelists where written to adress one particular World View of the believers.

We discovered a relationship with the very powerfull psychological theory called Interpersonal Theory, Game Theory, Conflict Theory, the Cycles in History, the Tarot, the Four Humors, the Zodiac, the Four Forces of Nature, the Archtetypes of Jung, the Myers Briggs test, the Big Five, the metaphors of George Lakoff and many many other ancient and modern theories.

Paths of Change has proved to be the perfect meta-theory to map and understand all kinds of different physical and social sciences. It shows without any doubt that a theory of everything is possible.

The most interesting find was the self-referencial nature of the theory. It is possible to map the theory on itself.

This website contains many examples of the remarkable power of Paths of Change to understand what is happening in the World.  Use the tag Will McWhinney to find them all.

LINKS

A list of comparable models

About Entrainment

About Meta-Perspectives

About Engagement, A Chapter out of the never published book of Will McWhinney

A PPT Presentation about the Paths of Change of Will McWhinney

A PPT Presentation about the World View of Will McWhinney

About the Pollen Path

The Sad (?) Insight of Ludwig Wittgenstein

Ludwig Wittgenstein
Ludwig Wittgenstein

In 1921 Wittgenstein thought that the Tractatus Logico-Philosophicus had solved all the problems of philosophy.

Later in his life (The Philosophical Investigations, published 1951) he came to the conclusion that he was utterly wrong.

He found out that language itself is the problem.

Language is woven into the fabric of life, and as part of that fabric it works relatively unproblematically.

Philosophical problems arise when language is forced into an abstract environment, where all the familiar and necessary landmarks and contextual clues are absent. The tragedy is that almost nobody understood Wittgenstein at that time.

One of his students in Cambrigde when he still believed in abstraction was Alan Turing. He invented the Turing Machine, one of the foundations of computers and computer languages.

Computer Languages and everything created by a Computer Languages suffers the Problem Wittgenstein identified.

I was a witness to an important part of the history of computing. I was responsible for many what I now would call abstraction-projects.

I have been extremely busy with the creation of E-Learning, Knowledge-Management, Centers of Expertise, Educational Games based on Story Telling etc.

They all failed in the end but the creation-process was fun.

One of the inspiring persons I spoke was Mr. Ikujiro Nonaka. His book The Knowledge-Creating Company was just published.

He showed that knowledge could be divided into formal (again abstract) and informal knowledge.

He defined a 2X2 matrix of the knowledge-tranfer process.

The most difficult of course was the transfer of informal-informal knowledge.

My big mistake was to believe that informal/informal knowledge-tranfer could be supported by a Computer System.

The Computer System itself is formalizing everything. Many years later (about 5 years ago) I came to the same (sad?) conclusion as Wittgenstein (and Bahktin).

What can we do? The only way to transfer “knowledge” is to talk person-to-person in a secure environment.

Some people will understand each other and become friends. They are a small Centre of Expertise.

Many people will think(!) they understand the other. They will go their own way until they realize, perhaps when they are 56 (like me), that in the end your mostly wrong and sometimes right.

Keep meeting and talking! And realize The Creation Process is always Fun.

LINKS

About the War of Words

About the Foundations of Mathematics

How the Proof of the Pudding is Really in the Eating

How to Analyze a Context