Imagination, The Eye of the Soul

Jump to the conclusion? Push here.

Does the Imagination Create Reality?

This blog is a continuation of a blog called a New Map of Consciousness.

This blog is written in Dutch.

The current blog is written in English.

Zero-point Field

In the current blog I show that consciousness is a Space that is situated outside our Space-Time probably in our Mirror-universe that lies behind the Wall of the Zero-point-field.

The Mirror-universe is made out of Anti-Matter.

The Dirac Sea is a name for the Aether or the Vacuum that is a solution of the Dirac Equation were the vacuum contains “Negative energy particles” also interpreted as Anti-Matter or by Feymann as energy moving Back in Time.

List of Chapters

The links connect to Chapters in this blog (or other blogs I have written).

Body and Mind

Body and Mind: It is easy to Fool the Mind into another Body.

Cells are often changed, many cells are Bacteria and some people remember Past Lives.


The Continuity of the Body is situated In the Bodyfield.

The bodyfield is an Electo-Magnetic-field created by the Heart and the other fields created by the cells in which the DNA acts as communicator with others cells inside and outside our body.

About Quantum Biology.

Is it possible to influence Chance?

The Selection Effect (Herbert Mertz):

It is possible to influence chance until you start to cross a certain border where you Believe it is Not Possible.

You have to be Playful to influence Chance.

Quantum Mechanics and Consciousness

The Physics of Consciousness. Quantum mechanics shows that Reality is created when Consciousness creates an Experience.


Harmonics: Consciousness in the Universe is Tuned by a Musical Master Code based on adapted Pythagorean tuning.

The grounding mathematics with real and maginary numbers predicts a Rotatory feature that introduced the idea of Vortices and  Toroidal geometries.

The Torsion Field lies Behind the Zero-Point Field

Behind the Zero-point-field we find the Torsion field.

This blog contains many PDF’s and video’s that explain the torsion field.

Spiraling Spirals

It has a lot to do with the explanation of the group of John Rowlands that discovered that it is possible to rewrite all the formula of physics into a Nilpotent Machine that Rewrites its own Operating system when the sum of all the Potentials is>0.

The sytem can be desribed by the Octionions, a Abstraction of an Imaginary number that is a rotation.

The Universe is aRotating, Rotator, a Spiraling Spiral.

Bright-white stars in a cloud of blue. Superimposed on the scene is a red spiral.

Maps of Consciousness

This blog is a translation in English of my blog about the Maps of Consciousness.

Maps of the consciousness

Experiences of “abnormal” States of Consciousness

This blog is the result of the analysis of my own experience combined with the experience of thousands of others that literally fell into another Universe.

These people were artists, mystics, meditators and casualties in major accidents.


Non-duality is the effect when ou want to Fuse a concept with its opposite and dont use old fashoned logic.

In this case the effect is the empty-set or a contradiction.

According to many people that experience a state of enlifghtenment the experience the whole is being one and many.

The Map of William Blake is a very special Map that was te result of a highly talented poet, painter and philosopher who lived and the end of Romance in the UK.


Belief Creates Reality

Do you believe in Magic?

Do you believe in Magic when it really Works?

Do you believe in Miracles?

The book the Selection Effect is an account of his fascination with Quantum Number Generators (REGs) and of his serious attempts in succesfully influencing them.

He finds that he can indeed, but his influence evaporates as soon as the Playful element disappears from his efforts and he becomes too serious in his attempts.

Body and Mind are loosely Coupled

The Brain Communicates Through the Wormhole

, We envision a ScaleIinvariant information processing, operating through a Toroidal Wormhole mediated Information Flux.

This implies an Intrinsic Cosmic connectivity that is Mirrored in the Human Brain.


More info on Quantum Biosystems


Torsion Field

Rhe torsion field is the field that belongs to the Vacuum.


Our day-time consciousness is often surprised by events that have a meaning.

It looks like somebody or something is changing the causal-structure of space-time just as this happens in a dream.

Are we living in two universes at the same time?


The Map of William Blake

Blake defines the „world of Imagination as that „into which we shall all go after the Death of the Vegetated body‟.

Blake wanted to Restore the Golden Age.

He believed that an artist will experience a personal „Last Judgment‟ , a moment of Imaginative Clarity.

He believed that artists like Shakespear and Michel Angelo experienced such a moment.

Analyzing “inspired” art could show him the Golden Age.


Classical Physics is nature seen from the Eye of God.

In the world of Blake everything has an Opposite that unites in a higher Abstraction or is Impossible.

Emmanuel Swedenborg

Again a person who made use of OBE to explore the inside world.

Inner Roadmaps: With a controlled OBE you can travel Deep in the Mind

In my last blogs all written in Dutch I tried to find out more about Consciousness and detected Robert Monroe’s maps of the deeper layers we can reach with a controlled OBE (Out of the Body Experience).

I also discovered Owen Barfield the center of the UK intellectuals around 1900 who called themselves the Inklings.

Maps of SpaceTime

TimeMap of Conscious Soul of Owen Barfield and Rudolf Steiner with 1889 as Tipping Point

TimeMap of the Kondratiev Cycle with 1889 as Tipping Point and the creation of the Global Brain called the Consciouss Soul by Barfield.

Kondratiev 1700-1950 with a Frequency of 50 tears.

A pattern emerges with a frequency of 200 year.

TimeMap of Mikhael Bahktin with a period of a new Religion and a new Myth

-550-2200 frquency 250 years = 5×50.

Mikhael Bhaktin made a map of history based on genres.We are moving into a new stage of Myth based on Joseph Campbell’s Meta Myth the new Myth is Star Wars and Space Oddessey of Stanley Kubrick.

A Space Odyssey future book cover futuristic Space  3ds max
Saturn was called the Son of the Sun.



Herbert Mertz’s research offers an interesting clue.

Our reality is dependent on our Belief of its existence.

Our belief arises out of our Memory that is fed by our Experiences and he companions in life we belief.


We live in two Universes that are divided by the vacuum.

In the Universe of the Light we are awake and in the other we are Asleep.


Both universe have a MatterAnti-Matter-relation-ship.

This means that their fusion is the Light.


The Universes are instable

They are recreating themselves based on an Algorythm that reacts on Nilpotency.

They are constantly tuned by the Music of the Spheres of the Center.

The universe is instable.

It is constandly recreated with a Planck-frequency , keeps the sum of iets energy-up-and-downs always zero and generates a new operating-system that varies on a theme that is based on opposits.

Every old theme comes back with a different “outside” that gives the people who only look the idea that we are changing and evolving all the time.

We are highly dependent on creative people who feel what the others experience as beautiful.

Quantum Biosystems

This PDF is part of many pdf’s you can find on

Scales in the Universe

The universe is Scale free (Fractal) which means that the structure at the Planck-scale being a small black-hole called a Bindu in ancient India is recreating itself all the time where a new tiny universe is created at the output-side of the blackhole (white-hole).

Sri Yantra

Want to go to the Beginning? Push here.

Next Blog

As you can see Dirk Meijer and his companions has created a tremendous amount of publications.

I am reading them all and wil try to summarize them as soon as possible and formulate a research-question for the next blog written in Dutch (with English links);

Hoe Geloof ik in een Gezond Lichaam?

(How do I believe in a Healthy Body).

Een Nieuwe Kaart van het Bewustzijn?

Het Bewustzijn is een Innerlijke Ruimte

Naar de Samenvatting druk hier

Naar de Conclusie druk hier.

Jiddu Krishnamurti was door mevr Blavatsky, de oprichter van het Theosofisch genoodschap, gekozen als de Maitrea (Wereldleraar)maar wilde dat niet worden net als David Bohm er niet voor koos om Albert `Einstein op te volgen omdat hij de Implicit Order achter de Natuurkunde wilde onderzoeken.

Daar in vond hij Jiddu aan zijn zij die was opgeleid in de oude Indiase natuurkunde.

Owen Barfield en Rudolf Steiner waren er in 1893 van overtuigd dat Het werk van de Romantici Goethe en Schiller nog niet klaar was en dat de Individuele Beleving meer waarde heeft dan een Generiek Wetenschappelijk Bewijs van het bestaan van die beleving.

de Bewuste Ziel

The Consciousness Soul constitutes “that part of the human entelechy which comes to expression in the history of the world during a period beginning in the fifteenth century (“Renaissance“) and extending far into the future beyond our own time” (O Barfield, Romanticism Comes of Age 129)”.

De Ontdekkingsreis van de Binnenwereld

In deze blog, een vervolg op de zoektocht naar de Samenspeling ontmoeten we Ontdekkings-Reizigers die in het Bewustzijn zijn gesprongen en nu terug komen met bijzondere ervaringen en gebieden waar men vroeger niet durfde of mocht komen.

Het is de grote vraag of we een machine nodig hebben om een wereldwijd collectief bewustzijn te hebben.

De vorige blog gaat over hoe ik een 200 jarig Patroon in de tijd ontdekte dat zicht geeft op onze toekomst.

Die toekomst had ik al Global Brain genoemd.

In deze blog probeer ik het Bewustzijn letterlijk in kaart te brengen door de analyse van de kennis en ervaring van de velen die door Uittreding (OBE), spontaan inzicht en/of contact met een hoger bewustzijn een stukje hebben mogen zien.

Ik probeer dit model te relateren met “Mystieke” theorien zoals de Kabbalah en de Zohar en de kennis die ik zelf direct of indirect heb ontvangen.

Interessant hierbij is dat er in sommige interacties “entiteiten” naar voren komen die erg veel lijken op mensen nu Engelen” worden genoemd en informatie verstrekken over het universum.

Zijn ze “echt” of een hallucinatie?

Hogere Dimensies

Jurgen Siewe is een voorbeeld van een spontane uittreding uit het lichaam die hem onmiddelijk in de vele Dimensies bracht die ons Bewustzijn omhullen. Dit is zijn website.
Itzak Bentov schreef vele boeken over zijn ontdekkingen. Die ontdekkingen kwamen voort uit een exploratie van zijn eigen bewustzijn wat zoals bij iedereen aan- en uit gaat (“A Wild Pendulum“,

waarbij we in de “tussentijd” de ruimte kunnen exploreren waar geen tijd is met onze intuïtie die volgens hem van de ziel is die constant in contact is met een observator die over alle Tijdruimtes zowel vooruit als achteruit heen kan kijken.

Er is veel meer Bewust dan de Wetenschap denkt.

Naast kunstmatige intelligentie kan kunstmatig bewustzijn een veel groter ethisch probleem worden temeer omdat de opkomende theorieën bewijzen dat veel organismen zoals bacterieen wel degelijk een bewustzijn hebben en we de vraag of het doden van deze organismen wel is toegestaan.

Wordt Westworld realiteit?

Komt er Kunstmatig Bewustzijn of bestaat het al los van de mens?

Global Brain

Het Global Brain is een infrastructuur die voortkomt uit het World Wide web wat erg lijkt op een netwerk van neuronen.

Het koppelt digitaal opgeslagen individuele herinneringen i.h.a. vastgelegd in Beeld Geluid en tekst.

Kunstmatig bewustzijn

Onze hersenen zijn gesynchroniseerd met andere hersenen die beiden vibreren en daardoor gelijk gaan lopen met andere hersenen die en/of dezelfde sleutel (“Ziel“) hebben (“vergelijkbaar DNA) of met hetzelfde bezig zijn zoals met elkaar (een ander mens, “verliefdheid, betrokkenheid”) of een gedeeld onderwerp zoals een Kerkdienst of een voetbalwedstrijd.

Het verschil tussen het simuleren van bewustzijn en het feitelijke bewust zijn houdt de filosofen al heel lang bezig.

Daarnaast wordt het bewust zijn verbonden met een moreel recht op blijven bestaan.

Is het uitzetten van een kunstmatig bewuste machine moord?

Synchronisatie van Hersenen

Model Menselijke Cognitie

Model cognitief systeem van de mens.

Met behulp van dit plaatje wat gaat over Perceptual Symbol Systems kun je zien dat de huidige opbouw van de technologie heel wat mist om een summier bewustzijn op te leveren dat op het menselijk bewustzijn lijkt.

Te denken valt aan een Lichaam met externe en interne waarneming, sociale relaties en situaties die worden herinnerd.

Een “global brain” lijkt op een samenwerkingsverband van zelfstandige breinen.

Is het ingewikkeld om ze te coördineren? of kan het ook met m.b.v. Synchronisatie?

Samenwerkende Chemische processen:

Het onderzoek van Geoffrey West naar de ontwikkeling van de cognitieve architectuur van de organismen van het kleinste (virus, bacterie) tot het grootste heeft vastgesteld dat een stad theoretisch ook een organisme is.

Is ieder organisme bewust?

Ieder organisme voldoet aan deze beperking: waarbij teveel actie weer wordt gestopt door een remmer waardoor het fluctueert met een bepaalde unieke frequentie.

Deze fluctuatie veroorzaakt synchronisatie.
Een actie-tegenactie-simulatie.

Bewustzijn of Technologie

Deze blog ging in erste instantie eerst over over het Global Brain, als een combinatie van technologie en bewustzijn of als een hogere vorm van bewustzijn zonder technologie.

Later kwam het probleem van het kunstmatig bewustzijn er bij.

200 jarige Cyclus

Deze blog is het vervolg op een  Blog waarin ik probeerde om 20 jaar vooruit te kijken en plotseling een bijzonder patroon in de tijd ontdekte, een cyclus met een frequentie van 200 jaar.

Referentiepunten voor dit patroon zijn 1789 en 1989 beiden momenten waarop een Volksbeweging een muur doorbrak in Parijs en Berlijn.

Het patroon blijkt veel te maken te hebben met de Synchronisatie van de Zon en de Planeten die een sterke activiteit van de zon oproepen (“zonnevlekken”) die ook ieen sterke nvloed lijkt te hebben op de synchronisatie van onze Hersenen.

Global Brain blijkt een Natuur-verschijnsel te zijn.

Mystieke Ervaringen

Mystieke ervaringen ontstaan als de Hersenen gesynchroniseerd worden.

Michael Persinger ontwikkelde een Bio-feedback-systeem (later de “God helmet” genoemd) waarmee het mogelijk is om spirituele ervaringen te genereren door het synchroniseren van de hersenen met een Electro-Magnetische golf.

Dat kan ook een gevolg zijn van een dominante exploderende Zonnevlek (Sun Flare).


Artist's illustration of the sun firing out large fiery looking solar flares.

Het bleek ook mogelijk om meerdere hersenen op afstand te synchroniseren en ze te synchroniseren met de Schumann-resonance,

God Helmet

De 1e versie van de brein-resonator was een helm.
Openbaar gesprek met het Team van Michael Persinger over de toekomst van de Helm.

Wereldwijd Onweer veroorzaakt Schumann Resonans waarmee de Hersenen in Alpha-staat resoneren.

Onze hersenen synchroniseren met de Schummann Resonanz, die het gevolg is van het ontladen van bliksem op bepaalde vaste plaatsen op de aarde.

De Zonnecyclus

De door mij waargenomen 200 jarige cyclus wordt de de Vries cyclus genoemd en heeft onder meer betrekking op Zonnevlekken.

Ze wordt verklaard door de effecten die de planeten in ons zonnestelsel op elkaar hebben die samen lijken op een metronoom, waardoor de onderdelen gesynchroniseerd worden.

Het effect op het klimaat is ook duidelijk. Het verandert regelmatig maar niet dramatisch.

Symmetrie in de Tijd

In de vorige blog ontdekte ik een cyclus met een een cyclustijd heeft van 200 (4×50) jaar.

Een referentie punt is de Franse revolutie in 1789 wat zich herhaalde in 1989 de val van de Muur in Berlijn.

Zo’n noment is ook het bezoek van John Dee aan Keizer Rudolf in Praag in 1586.

Hij was vlak daarvoor door een Engel bezocht die hem een nieuwe taal leerde.

Een vergelijkbaar moment is 1386 de tijd van de Kabbalah van Issaac Luria.

John Dee
In 1586, bezoekt John Dee, de astroloog en wetenschappelijk adviseur van Koningin Elizabeth I van Engeland samen met John Kelly Keizer Rudolf in Praag om hem zijn Alchemistische successen te tonen en hem in te lichten over zijn methode om met de Engelen te Spreken.

De korte periode dat Keizer Rudolf in Praag aan de macht was wordt gezien als het begin van een wetenschappelijke revolutie en het begin van de reformatie. Rudolf gaf zijn onderdanen de godsdienstvrijheid.

Praag ligt in de inslagkrater van een meteoriet en heeft daarom dezelfde kristallen als de meteoriet die de Kaaba produceerde.

Deze rode kristallen worden gebruikt om goud te maken en mensen te genezen.

Interesse? druk hier


De vorige blog ging over een spelende samenleving, die ik een samenspeling had genoemd om de factor toevalligheid alvast een zetje te geven.

Er gebeurt van alles zonder dat we een causale verband kunnen vinden totdat de toevalligheid wel degelijk een patroon blijkt te vertonen en de wetenschap met de handen in het haar zit.

Quantum Mechanica

De denkers achter de quantum mechanica zoals Wolfgang Pauli waren er al lang achter dat er een wereld achter de wereld van de zintuigen ligt en die al heel lang werd beschreven met de alchemie volgens kenners afkomstig uit het oude Egypte.

Meten is Maken

Natuurkundige Experimenten gaven een niet te verklaren verband tussen de experimentator en het experiment waardoor er veel interesse kwam naar de werking van het bewustzijn.

Wat is DNA?

Toen het DNA was gevonden was de werking onmiddelijk duidelijk n.l. het was de programmeertaal van het leven en veel experimenten toonde dat ook aan.

Door fors te kuntselen vooral met kleine organismen als een fruitvliegje konden allerlei verbanden worden gevonden en het grote werk werd opgevat n.l. het in kaart brengen van het menselijk DNA.

Toch kwamen er ook zaken boven tafel die onduidelijk waren zoals het z.g. junk-DNA een oenorme hoeveelheid onverklaarbaar DNA.

Nu lijkt het er op dat we met ons Bewustzijn ons DNA kunnen veranderen en dat er veel meer communicatie tussen organismen is via het DNA waardoor ook anderen ons DNA op afstand kunnen aanpassen.

DNA is een Zender-Ontvanger, een Attenne

De mens kan zijn DNA met zijn gedachten aanpassen en dat kan over enorme afstanden.

Kundalini Awakening

Kundalini awakening kan spontaan plaatsvindt maar ook als gevolg van een groot gevaar of een verlies.

Het is een vreemde soms beangstigende ervarig die veel “oude pijn” ophaalt, enorme synchroniciteit opwekt en paranormale gaven doet ontstaan waardoor een andere werkelijkheid zich opent.

Als het “verkeerd” gaat kan het worden geinterprteerd als een psychose waarbij de behandeling meer schade veroorzaakt dan nodig is.

I.h.a is “aarden” voldoende”.

Het lijkt erg veel op OBE (Out of the body experience”) die ook spontaan kan optreden.


In het begin van haar presentatie Jessica Sophie Corneille beschrijft haar eigen Kundalin sprong als het ontwaken in een vibrende wereld. Die wereld is ons “afgenomen” door een constante bevestiging van een andere kijk.

Lalita, She Who Plays

De schepper van onze wereld is een Spelende Vrouw.

Rond 2000 kreeg ik contact met Malcolm McEwen.

Hij had net als ik een Sprong van zijn Kundalini meegemaakt en moest naar Kashmir naar de Tempel van Lalita, “de godin die speelt”:

Ik moest naar Keulen om onderzoek te doen naar de Magi, die mijn voorlopers bleken te zijn. Ik was een hele echte tovenaar en dat wist ik al lang. Ik was hier terug gekomen om de deur open te doen naar de “andere kant”.

Behind the Wall of the Vacuum lies another universe that is hidden by the polarization of the wall.

Gulden Snede

Malcolm ontving een reeks getallen die ik kon identificeren als de Bronze mean, een variant van de Gulden Snede.

De bronze mean is bijzonder omdat ze is gekoppeld aan de Sri Yantra, de meest heilige Yantra (“machine“). Het voorspelt een nieuwe fase in de ontluiking van het Universum.

Daarnaast is de Bronze mean verbonden aan de Trinity (driehoek) terwijl de Gouden Snede als Kettingbreuk is verbonden aan de singularity (“Bindu”).

De drie-eenheid in de drie-eenheid , de reeks van de Bronze mean die ook de Sri Yantra genereert nu toegepast op landbouw.
India, Lalita, She who plays.
Malcolm is een zeer ervaren architect.

De modellen in de PDF van malcolm lijken erg veel op de Boom des levens uit de Joodse Mystiek die in Spanje, Cordoba, zijn ontstaan en later door Isaac Luria in Safed (Chalilea) zijn uitgewerkt en in 1573 zijn gepubliceerd als de Etz Chaim.

Het visioen van Ezechiel is een astrologische beschrijving met een cherub opgebouwd met de vier kardinale tekens van de zodiac in het centrum zittend op een persische strijdwagen.

De Levensboom kan ook worden vormgegeven als een Cubus.

Het 1e woord in Genesis is Bereshit wat betekent “toen waren er zes” vlakken van de kubus.

Cube of Space

Dat staat allemaal beschreven in de Sēpher Yəṣîrâh.die ook uitlegt waar al de patronen btrekking op hebben..

Het is een combinatie van de 7 Planeten, de 12 tekens van de Zodiac en de Drie-Eenheid in totaal 22 verbindingen.

Die 22 verbingen bevatten ook het Alfabet van de Joodse taal.

De Sephirot bestaat uit 4 gestapelde driehoeken met een centrum Bron: Plaatje uit de PDF van Malcolm Mcewen.



De vele lichamen

In Egypte worden er veel lichamen onderscheiden die voor een deel passen op wat wij de organen van wat wij pde ersoonlijkheid noemen (Zintuigen, Verbeelding etc) en ook onderdelen die in de “mystieke” takken overal ter wereld thuishoren zoals het lichtlichaam. Het lijkt erg veel op de ervaringen die mensen hebben als ze uittreden. Het Egyptische dodenboek gaat daar over.

Recente modellen van het Bewustzijn:

In de nabije toekomst zal er Kunstmatig Bewustzijn zijn dat niet van “echt” bewustzijn kan worden onderscheiden bterwijl het eigenlijk niet bewust is.

Het is het verschil tussen een Simulatie (net doen als of) en realiteit.

De meest gesteunde theorieën worden Integrated Information Theory en Global Neuronal Workspace genoemd..

Integrated Information Theory

Bewustzijn is De tijd dat een Een impuls door de hersenen blijft lopen.

Impulsen worden wel/of-niet doorgegeven.

Bewustzijn is een indicatie voor de connectie tussen de onderdelen..

Er ontstaan verschillende persoonlijkheden (bewustzijnene) door de herenen te Splitsen (Lobotomie).

Global Neuronal Workspace:

Het GNW-model kwam ook hier naar boven (“Blog over Anti-fragility).

De term “global workspace”komt uit de  Artificial Intelligence.

Het is een  losstaand geheugen dat kan worden gebruikt om samenwerkingsproblemen van gespecialisserde programma’s op te lossen.

Er is veel bewijs dat het  cortico-thalamic (C-T) system in bewuste ervaringen  de rol speelt van GWT.

Bewuste ervaringen spelen de rol zender- en ontvanger in het brein dat bestaat uit een gedistribueerd netwerk van gespecialiseerde niet bewuste corticale netwerken. 

De rol van de taal.
Bewustzijn en machines.

OBE Out of the Body Experiences

Entrainment Robert Monroe Gateway

Het CIA-document waar de video over gaat staat hier beneden.

Timothy Leary

Introductie in het werk van Timothy Leary.Pa

Joodse Mystiek: Kabbalah en Zohar



Dit zijn drie video’s van een voordracht van de recent overleden onderzoeker Vincent Bridges, die het verhaal van de alchemie vertelt vanuit de bron Egypte met als focus het bezoek van John Dee aan Praag waarbij hij samen met zijn partner Edward Kelley de keizer het maken van goud toonden en een communicatie-techniek om met Engelen te praten.

Alhowel dit allemaal erg onwaarschijnlijk klimkt zijn er vele verslagen van dit soort ontmoetingen zelfs met bekende nederlanders die er over hebben gepubliceerd.


Overslaan samenvatting druk hier



In de vorige blog probeerde ik om de komende 20 jaar te voorspellen. In die voorspelling kwam het Global Brain naar boven.

Ik ontdekte toen een 200-jarige cyclus die ik recent ook tegenkwam in een artikel over patronen in de Zonnecyclus.

Toen ik het patroon toepaste kwam ik uit op beroende Alchemist John Dee, de wiskundige van Queen Elizabeth I en het ontstaan van de Kabbalah, een systeem dat Malcolm McEwen ook doorkreeg toen zijn Kundalini sprong wat bij mij vlak daarvoor was gebeurd.

Voldoende materiaal om alles weer op een rijtje te zetten en oudere blogs te hergebruiken.

Het is uiteindelijk een zoektocht te worden naar het Hogere bewustzijn, een fenomeen waar steeds meer mensen mee worden geconfronteerd.

Menselijk Cognitie

onze Cognitie is niet semantisch maar chemisch van aard.

Het betekent dat patronen in organismen altijd kunnen worden uitgezet (inhibition) als een bepaald evenwicht (Homeostasis) wordt overschreden.

Het betekent ook dat ons bewustzijn met hoge frequentie aan en uit wordt gezet wat resonantie oproept waardoor onze hersenen met elkaar en andere processen met dezelfde frequentie worden gelijkgeschakeld.


De vier kijken op het menselijk systeem zijn allemaal elkaars tegendeel wat betekent dat hun doorsnede de lege verzameling (Bindu, Tao, Niets,..) is die in vele culturen een bijzonder plaats inneemt als Schepper.

De komende Spong van het Bewustzijn

Mystieke ervaringen

Alle systemen die een periodiek gedrag vertonen (“pendulum”) synchroniseren als ze zijn verbonden.

Het pendulum van Walter Russell‘s Potential is de batterij die wordt gevoed door de Creativiteit en twee krachten doet uitslaan en terugkomen die Geven en Nemen en elkaar opheffen.
Het 200-jaar-patroon loopt van 1789-1989 waarna weer een nieuwe potentie wordt opgebouwd in de zestiger jaren.

Het model van de slinger die beweegt tussen orde en niet-orde staat links.

Orde en niet-Orde is de lege verzameling die Niets (o objecten) beschrijft.

Als mensen synchroniseren synchroniseren hun Hersenen ook.

Mensen kunnen gesynchroniseerd blijven op enorme afstanden maar ze kunnen ook gesychoniseerd raken met een magnetische veld wat mystieke ervaringen oplevert.

Patronen in het zonnestelsel verklaren Zonnevlekken

Gisteren kwam ik er achter dat er een 200-jarige cyclus bestaat vernoemd naar de ontdekker de vries, die nu een verklaring biedt voor zowel Global warming als de zonnevlekken.

Ze zijn een gevolg van de interacties van de planeten (inclusief de aarde).

Het onderzoek naar dit soort patronen zou je ook Astrologie kunnen noemen en dat was het ook.

Ik vermoed dat men al lang geleden door stelselmatig onderzoek achter deze verbanden is gekomen.

Ontmoeting Malcolm

Rond 2000 kreeg ik contact met Malcolm McEwen die net als ik een enorme spirituele ervaring (een Kundalini Awakening) had gehad waardoor hij naar Kashmir werd gestuurd.

Hij kreeg een patroon door dat aangeeft welke sprong ons bewustzijn gaat maken.

Het beek een bekende reeks te zijn, die de Bronze Mean wordt genoemd.

Die heeft weer van alles te maken met de Sri Yantra en net door Roger Penrose en Paul Steinhardt ontdekte patronen (Tilings) die ook te vinden waren in het Alhambra.

Penrose Tiling.


Op dit moment zijn er twee concurrende theorieen over bewustzijn n.l. Integrated Information Theory en Global Neuronal Workspace.

De laatste gaat uit van vele “onbewuste” delen van de hersenen die ook niet gesplitst kunnen worden en een bewust deel, de thalamus.

De tweede probeert een criterium te ontwikkelen waardoor we kunnen vaststellen of een systeem bewust is wat (mijn interpretatie) slaat op uniekheid, originaliteit of het principe van het genie Leibniz die de alle kennis van de renaissance had gestopt in een fusie van Alchemie en Logica.

Thimothy Leary experimenteerde veel met hallucinerende middelen en ontwikkelde een model van het bewustzijn.

OBE (Out of the Body Experience)

OBE’s komen spontaan maar kunnen ook het gevolg zijn van extreme stress (Ongeluk , Operatie)

Robert Monroe heeft zijn eigen spontane OBE aangewend om het buitengebied van de geest erst zelf te verkennen waarna hij zijn kaart, hulpmiddelen en ervaringen op de markt heeft gebracht.

Monroe maakt gebruik van oscillerend geluid (Hemi-sync) om uit te treden. Het geluid synchroniseert de hersendelen. Hetzelfde effect wordt bereikt met meditatie.

Opvallend is dat (a) de OBE’s cultuur/geloof-afhankelijk zijn maar dat er achter deze ervaringen een standaard patroon zichtbaar wordt zoals verschillende “hemels” en een central uitstation (“the park”).

Joodse Mystiek

Daarnaast hoop ik wat meer te vinden in de Joodse Mystiek en dan vooral in de Zohar en Kabbalah en het werk van Luria


Vincent Bridges vertelt het verhaal over de Alchemie in 3 delen van de Kaaba tot aan Praag.

terug naar begin druk hier.


Het boek de Wild Pendulum bevat een mooie samenvatting van de huidige natuurkunde inclusief het eindeloos zichzelf herscheppende.

Einde samenvatting

Terug naar begin druk hier


De Kaart van Robert Monroe

Het langdurige collectieve onderzoek m.b.v OBE van het bewustzijn door Robert Monroe heeft indrukwekkende resultaten opgeleverd die nog niet tot iedereen zijn doorgedrongen.


Een OBE is een Out of Body Experience.

Mensen ervaren spontaan of bewust gestuurd door drugs of een machine die bijvoorbeeld de hersenen synchroniseert een andere werkelijkheid.

Het lichaam wordt niet gehinderd door de wetten van onze Tijd-Ruimte kan door materie heen gaan en in andere dimensies bewegen die op een ander vlak liggen (90 of hoger graden gedraaid). een OBE kan men ook andere technieken toepassen om “elders” bij vol dagbewustzijn te gaan waarnemen zoals Remote Viewing.

Staat Waarnemen los van het Lichaam?

OBE maar ook een vergelijkbare Near Death Experience (NDE) bewijst dat we los van ons lichaam via een andere hoek of een andere plaats op een ander tijdstip kunnen waarnemen.

Dat roept de vraag op of onze zintuigen wel “echt” gericht Waarnemen.

Electro-Magnetische Velden bevatten Structuren

Experimenten met de “God Helmet” laten zien dat E/M-velden Beelden en ervaringen oproepen. Ons dag-bewustzijn wordt gestuurd door andere frequenties dan ons nacht bewustzijn.

We reageren sterk op de Schumann Resonanz. Die reageert weer sterk op het “Space Weather”.


De ANPA is een organisatie waaraan wetenschappers deelnemen die de wetenschap weer op het pad van de werkelijkheid willen brengen en onnodige abstractie willen verwijderen.

Hoe kun je als wetenschapper anders naar de werkelijkheid kijken?

‘Wat is Bewustzijn?

Spirit: de Heilige Geest

Inspiratie komt van de Heilige Geest die binnenkomt.

Het is de creatieve kracht die het oude eerst verniet-tigd.

Ziel: Eeuwig hetzelfde?

In de tijd voor de verlichting had de mens een Ziel die buiten het lichaam kon voortbestaan.

Zon en Maan

Het dagbewustzijn (Zon) wordt als de norm beschouwd.

Als we slapen Dromen we en dat wordt nog steeds gezien als een effect van een onder-bewustzijn vaak ook nog verbonden aan een collectief bewustzijn waarin er zaken moeten worden “verwerkt”.

Tussen wakker en slapen valt het bewustzijn periodiek uit.Dat geldt ook voor de werkelijkheid zelf.


Als een systeem herhalend met een bepaalde frequentie aan en uit gaat gaat het resoneren met andere “trillende” systemen.

Dat heeft te maken met de “onderlaag”, het “Zero-Point-Field, wat een brug blijkt te zijn tussen twee spiegelbeeldige universa.

De spiegelbeeldige universa komen ook terug in de OBE’s waar ze de mogelijkheid bieden om door “wormholes” naar een andere tijd-ruimte te springen.

Ons spiegel-universum is wat bij ons de “Hemel” wordt genoemd en bevat ook vele overleden familieleden die druk bezig zijn met “bijkomen” en “nieuwe projecten”.

De grens naar het “nieuwe gebied” is een prachtig park en lijkt daarmee op het Paradijs.

Adem In-en-Uit

Het Bewustzijn Ademt.

Het wordt gevoed door de In-Spiratie (de Spirit komt naar Binnen) en Uit zich middels de Intuïtie.

Tussenin op het Evenwichtspunt herschept de Verbeelding de Buitenwereld.

De Filosofie van Owen Barfield

Het Bewustzijn gaat Aan en Uit

Leven na de Dood

Voortbestaan na de dood, Reincarnatie-herinnering, contacten met Engelen en spontane Verlichting worden door het huidige wetenschap nog steeds in de categorie Bijgeloof, Paranormaal of Geestesziek geplaatst.

De Renaissance

De Renaissance (“wedergeboorte”) begon toen Plato werd herontdekt door de bestuurders van Florence in 1462.

Djed en Djehuty.

Die bestuurders bleken nog veel meer geïnteresseerd in Hermes, Thot, (Djhuty, de Egyptische uitvinder en maat van Ma-at.

De Djed is de slang van de Kundalini geassocieerd met de Vuurvogel.

De vuurvogel zat op een zuil midden in Heliopolis.

De Tijdlijn beneden gaat uit van een periodiciteit van 250 jaar, 5xde periode van de Kondratiev-cyclus.

Ze laat zien dat onze tijdgeest in 1950 is omgeslagen naar een periode van Integratie waarin er een nieuwe religie zal komen die wellicht zal zijn gebaseerd wordt op een Global Brain (Collectief Bewustzijn).

Paradigma Sprong

De techniek is er aan toe, de mensheid ook alleen de wetenschap zal een enorme paradigma-sprong moeten maken.

Hier zijn vele “alternatieve” wetenschappers mee bezig (bijv de ANPA).

Uitzoeken Wat dat de sprong behelst is het doel van mijn eigen onderzoek.

Het komt allemaal neer op het verlaten van het dualisme wat alles in hokjes hakt die elkaars tegendeel zijn waardoor het verenigen een paradox lijkt te zijn.


De tijd na de val van de muur in berlijn wordt in de sociologie de Singularity genoemd.

Ik noem hem de samenspeling wat bewust een combinatie is van samenleven en spelen.

Aquarius, een Enorme Stroom van Levensenergie

De grootste cyclus van de aarde, de precessie start helemaal weer overnieuw en laat een enorme stroom van levens-energie (“chi, prana) zien.

Chi wordt in de Biofysica Biophotonen genoemd.

Het wordt in de hermetische geschriften gezien als de opening van de laatste trompet (of een vat), een term voor het vallerhoogste Chakra wat duidt op Verlichting. Iets wat steeds meer mensen ervaren.

De Spiraal van de Tijd in de Kathedraal van Chartres.
Aquarius. Het tijperk van de Vissen stroomt in de Melkweg. Het tijdperk van de Vissen is het tijdperk van de dualiteit (“Goed en Kwaad).

Zonnevlammen genereren sterke Magnetsche Velden

De 200-jaars cyclus verklaart de activiteit van de zon en de pieken van de zonnevlammen die sterke magnetische velden genereren die weer invloed hebben op de hoieveelheid Spiritituele ervaringen.

De Nieuwe kaart van het Bewustzijn

Er zijn honderden boeken en websites over OBE. de boeken van Robert Monroe zijn het meest systematisch geordend.

Ze tonen een enorm landschap met allerlei transitiepunten.

Het is voor mij duidelijk dat OBE’s altijd aan de orde zijn geweest en dat de mensheid al heel lang het bewustzijn aan het exploreren is met natuurlijk opmerkelijke resultaten door wat wij “mystici” noemen.

Ieder geloof kent zijn eigen onderzoekers en tecnieken zoals de Sufi, die roteren en daardor in trance geraken.

Er zijn ook mystici/wetenschappers, mensen die hun ervaringen systematisch hebben geordend soms geholpen door Engelen.

Isaac Luria

Een uitzonderlijk talent was Isaac Luria.

Terug naar het Paradijs

De Slang in het paradijs was een symbool voor de Kundalini.

Adam en Eva worden verboden om met deze kracht te experimenteren en dat is trecht.

De explosie van de slangen-energie geeft niet alleen veel “paranormale” kracht maar start een proces van schoonnmaken dat vele generaties vooruit en terug kan meenemen.

De spriraal gaat omhoog maar komt ook ergens vandaan.

Ze komt uit het niets en het niets is niet niks.

Het is het midden tussen het positieve en het negative o, wat op een ei lijkt.

De levensenergie gaat toenemen en daarmee de interactie met het spiegel-universum waardoor vele onbekende paden worden opengezet.

We kunnen meescheppen maar voordat we dat kunnen zullen we moeten kunnen verbeelden en de waarde van de beelden kunnen inschatten.

Daarom zijn de oude Deugden waardevol.

Geel en Groen zijn samen het spel van Lalita dat nieuwe spellen speelt.

Geel bereikt het “Rood van de Actie door te experimenteren en

Groen bereikt Blauw waardoor er een gedragen plan kan komen dat maakt of uitlegt waarna de cyclus weer kan starten.
Verder naar de spelende mens druk hier

Terug naar begin? druk hier.


Samen Bewegen en Bewogen worden

Direct naar de samenvatting druk hier.

Samenspel is een Hyperbolic Geometry by M.C.Escher. De horizon zit in de rand.

Deze blog is een vervolg op mijn blog over Sport waarin een PoC-model van de Sport is ontwikkeld.

Dat model wordt nu gebruikt om Samenspel te onderzoeken.

PoC betekent Paths of Change.

PoC is een metapraxis, een abstractie van de praktijk ontwikkeld aan de UCLA (University of Los Angeloes) door een groep wetenschappers o.l.v. Will McWhinney.

Samenspel is een spel met de Emoties die lijken op Golven van de zee en daarom prachtig passen in een Hyperbolische Geometrie die weer past bij het Perspectief van het onafhankelijke Standpunt.

Denken met het Lichaam: Embodiment:

George Lakoff deed onderzoek naar vertalen en ontdekte dat wij denken in metaforen.

Metaforen zijn afbeeldingen tussen twee Belevings-ruimten die als we klein zijn worden verbonden met delen van het lichaam.

De lichaams-metaforen zijn cultuur-onafhankelijk en laten bijv. zien waarom boven belangrijker is dan beneden of waarom vooruit belangrijker is dan achteruit.

Samen Bewegen en Bewogen worden:

Samen Dansen op een Ritme en samen Luisteren naar Nuziek verbindt mensen.


Samenvatting overslaan druk hier.


0. Introductie: Wat is Synchronisatie ? Gelijksoortige bewegende cyclische systemen gaan zich gelijk gedragen als ze communiceren.

Het geldt voor mensen maar ook voor vuurliegjes.

Mensen die zich samen concentreren op een onderwerp zoals een voetbalwedstrijd synchroniseren.

Synchronisatie is ook de oorzaak van ontploffende economische bubbels.

Het is een oud beproefd instrument om massa’s in een gewenste richting te bewegen. Hitler deed het, Poetin doet het en onze regering ook. Het wordt Nudgen (duwen met kleine duwtjes naar een gewenste situatie) genoemd.


1 Inleiding : Bewegingswetenschap in het Engels Biomechanica. is de wetenschap die zich bezighoudt met de Motoriek van het menselijk lichaam.

2 Volgens bewegingswetenschapper Prof. Peter Beek werkt Impliciet leren veel beter dan gestructureerd leren bij het leren van Motorische vaardigheden. Het geldt ook voor het leren van andere vaardigheden maar dat wordt niet gedaan in Nederland. Wel in de VS.


3 Vitaliteit is een >4 Dimensioneel concept en een combinatie van Efficiency en Veerkracht.

Veerkracht ( samen met Verbondenheid (Communion) en Potentie (“Rijkdom”) is een variabele van het 4D Panarchie-model dat betrekking heeft op een Ecologie maar eigenlijk op ieder veranderproces.

Vandaar dat het perfect past op PoC.

Vitaliteit kwam naar voren als een voorbeeld van Anti-Fragility ,Systemen die voordeel hebben van Wanorde.

Dit concept is ontwikkeld door Nassim Taleb, die veel aandacht heeft gekregen met zijn boeken over de on-voorspelbaarheid van calamiteiten (Black Swans).

Hier vergat hij de Synchronisatie als verklaring mee te nemen.

Die synchronisatie was niet vergeten door Didier Sonnete.

Hij noemt een Black Swan een Dragon King.

Innovatie Cyclus

Ik heb dit verhaal omgezet in een simpele innovatie-cyclus.

De Emoties hebben een Hyperbolische Geometrie:

4 De geometrie van het Samen Spelen begon met de Geometrie van de Menselijke Relaties van Alan Fiske.

Het samenspel blijkt een Hyperbolische geometrie te hebben, een Geometrie die Roger Penrose aan ons Cyclische Universum geeft en door Escher werd gebruikt om mooie zelf-refererende (fractale) tekeningen te maken.

Perspectief: Horizon, Stand-Punt en Denk-Raam:

Nadat we weten dat de emoties alles rond maken kunnen we m.b.v de Projectieve meetkunde laten zien door welke

ramen” we kijken en de Horizon van ons weten beschouwen.

het Kosmische Pendulum van Walter Russell:

5 Walter Russell kreeg een visioen waarin hij zag dat het Universum op een Metronoom lijkt.


6. Conclusie Seth was een entiteit die werd gechanneld door Jane ~Roberts.

Seth heeft tientallen boeken gedicteerd die bij nader onderzoek de geometrie van het samenspel ondersteunen. Dat geeft hoop.

Samenspel is een spel van de emoties die zijn de uitingen van de vortexen in het lichaam die in India Chakra (“Wiel”) worden genoemd.

Volgens Seth sturen ze de werkelijkheid aan en dat geloofd Roger Penrose ook die inmiddels de Big Bang heeft ingeruild voor een cyclisch universum dat weer prachtig past op de metronoom van Walter Russell die weer prachtig past op het foton die zichzelf vernietigd om weer geboren te kunnen worden.


In den beginnen was het Licht en het is er nog steeds.

Het stuurt de creativteit die anderen de Heilige Geest noemen.

Platonic Solids
De Platonische vormen zijn het resultaat van het oplossen van de spanning die ontstaat als een bol wordt vervormd.

0 Wat is Synchronisatie?

Christiaan Huigens ontdekte dat klokken die aan dezelfde muur hangen gelijk gaan tikken. Dat geldt ook voor mensen.

Alles wat communiceert, op elkaar lijkt en cyclisch beweegt gaat zich gelijk gedragen.

In 1975 bewees Charles Peskin dat zelfs ongelijke “tikkende” (“bewegende”) systemen synchroniseren.

Onze grootse klok (“de tijdgever”) is de zon. Die bepaalt erg veel aanpassing van ons lichaam en de natuur.Grote klokken bepalen kleine klokken (“overload”).

Deze video geeft een ervaring wat het betekent als een mens wordt opgenomen in een entrainment-omgeving zoals een stadion. Belangrijk zijn de ritmes en de bewegingen.
Dit werkt nog veel beter omdat hier een bepaalde frequentie wordt gedrumd die flow induceert. Dit is hetzelfde als een medicijnman doet in combinatie met gelijksoortige bewegingen.
Hier gebeurt hetzelfde met als effect dat de dansers volledig in trance gaan. Opvallend hier is dat ze ook nog is een simulatie laten zien van het universum waarin alles rondom alles draait.
Nataraja (Shiva) danst de wereld uit het niets. De vier handbewegingen corresponderen met de vier Worldviews van PoC.

Shiva danst op de onwetendheid in de vorm van een dwerg..Let op: de “blauwe” worldview die toont de Trommel van de Wereldklok.
De rechter hand draagt het vuur van de passie.
Terwijl de benen de Weerstand van de Emoties tonen in de vorm van de Olifant.

De gele hand van de Heilige Geest beschermt.
De droom van de Wereldklok van Wolfgang Pauli lijkt op het visioen van Ezechiel. De vier figuren staan ook voor de vier wereldbeelden, die de vier quandranten van de zodiac besturen. De kraai is de boodschapper.
Een geprek is een uitwisseling van trillingen die gaan synchroniseren. Die synchronisatie werkt ook andersom wat betekent dat meerdere mensen (hier twee) zich gelijk gaan gedragen wat een gevoel van grote betrokkenheid geeft. Als je verliefd bent ben je vergrendelt in elkaars fase. In het Engels Entrained.

Brein Synchronisatie

Dedynamiek van de hersenen van de zender en de ontvanger in een gesprek zien er hetzelfde uit. Dat betekent dat ze 100% gesynchroniseerd zijn.
Het zelfde gebeurt bij een grote menigte die zijn aandacht op 1 punt heeft gezet, de wedstrijd. de mensen in het stadion gaan gelijke handelingen uitvoeren dus Samen Bewegen.

Een artiest en de zaal voelen als er sprake is van fasevergrendeling. De zaal wordt een beetje warmer en de akoestiek wordt beter. Het heeft ook te maken met de bewegingen van de dirigent als er sprake is van een muziekopvoering.

Rituelen zijn gemaakt om te Synchroniseren

Mensen hebben behoefte aan een omgeving waarin regelmatig fasevergrendeling plaatsvindt zoals een kerk.

Randalph Collins Interaction Rituals de basis van zijn theorie zijn de onderzoeken van Irving Goffman

Mensen hebben behoefte aan levens-energie.

Die verzamelen ze door te koppelen aan energie-zenders/ die deze energie verzamelen als ze alleen zijn. Groepen van zenders en ontvangers komen 1x per week bij elkaar en worden gestuurd door een ritueel waarin ze synchroniseren.

1 Inleiding

Deze blog is een vervolg op mijn blog over sport.

De daar verzamelde informatie gaat over de prestatie die het lichaam in samenwerking met de geest en het hart kan verrichten maar niet over het hoe.

De biomechanica van het dansen.

Bewegingswetenschap/ Biomechanica

Het lichaam past zich aan aan het Gebruik van het Lichaam.

Het lichaam past zich aan aan het gebruik. Dat geldt ook voor de botten. Bij weinig gebruik “lossen ze op”.


De bewegingswetenschap houdt zich daar mee bezig en komt op onderwerpen die niet zo duidelijk zijn als we zelf bewegen maar ons in de weg zitten als we bijvoorbeeld met zijn twee-en proberen te lopen of een geestelijke (bv parkinson) of lichamelijke handicap hebben.

2 Van Expliciet naar Impliciet (Tacit) Leren:

Het grootste deel wat je leert als kind op school wordt weer vergeten.

Dat heeft te maken met de Focus tijdens het Leren.

Alles wat Moet werkt niet.

Laat het Lichaam zelf ontdekken wat het moet onthouden.

Random leren:

Random leren werkt veel beter op de lange termijn omdat men wat wordt geleerd niet vergeet (retentie).Als we naar retentie kijken werkt het huidige systeem helemaal niet. Alles wat wordt geleerd wordt vergeten.

Roger Schank omtdekte dat de emotie die gepaard gaat met het mislukken een hele hoge retentie oplevert m.b.t. de oplossingen die door echte experts of gefingeerde experts hele hoge retentie heeft. Het blijkt verder dat bepaalde denk- of doefouten altijd worden gemaakt voordat men bekwaam wordt.

Leren van de fouten.
Gestructureeerd opleiden werkt slechter dan random opleiden.

Lange termijn Visie Onderwijs

Roger Schank Institute for the Learning Sciences:

In 1998 werd ik tot mijn verbazing gevraagd door Hans Boom van het Ministerie van Onderwijs om een lange termijn visie te schrijven voor het Nederlandse Onderwijs.

k was toen net bij de ABN AMRO verdwenen waar ik me onder meer bezig mocht houden met nieuwe vormen van opleiding.  Dit deden we samen met bijvoorbeeld Arthur Andersen (AA) en Cap Gemini (CG).

AA had zijn R%D in Chicago en CG in Parijs (Innovation).

In Chicago zat ook het Institute for the Learning Sciences waar Roger Schank net de directeur van was. 
Na de opdracht van Hans Boom heb ik Roger opgezocht in Chicago. 

De theorie van Roger is simpel. Je leert van de fouten (“expectatation failures”) die je maakt of van de fouten van anderen. 
Roger bouwde Educational Games (“Simulators”) en de link was snel gelegd naar Lost Boys en een aantal andere innovatoren.
tot mijn grote verbazing gingen heel veel partijen tegenwerken zoals TNO en Wolters Kluwer. Ik vergat het non-invented-here syndroom.

Leren = Samen Exploreren = Collaborative Learning:

Volgens hen is Leren is geprogrammeerd worden (Instructie) terwijl het eigenlijk exploreren is. .

Collaborative Learning

3 Vitaliteit

Vitaliteit is een meerdimensioneel Spanningsveld :
“healthy systems must maintain a Balance of Resilience factors (small, diverse, flexible & densely connected) and Efficiency factors (big, streamlined & powerful) within a Window of Vitality representing optimal network health”.

Vitaliteit = Veerkracht & Efficiency:

Cultuur: Nieuwe spellen maken door te blijven spelen:

Paths of Change gecombieerd in” Games” zijnde een combinatie van 2 wereldbeelden in totaal 6 of 12 combinaties bij heen-en-weer + rollen.

1 Rood-Blauw -> Analytic Game, heen-en-weer Spel van de Westerse Wetenschap (Analyse) en het Bedrijfsleven (Productie volgens regels (Instructie)..

2 Groen-Geel->heen-en-weer-Spel van de Cultuur. Het spel dat nieuwe spellen maakt en Nieuwe Ideen waardeert.

3 Groen-Blauw-> Spel van de Politiek (Wet<->Samenleving.Consensus bereiken over Regels en het communiceren van deze regels aan de samenleving

4 Geel-Rood-> Spel van Innovatie (Idee<->Actie).

Panarchie beschrijft de Cyclus van een Ecologie en van een Mens:

want de mens zelf is een ecologie die bestaat uit heel veel cellen en eencelligen die samen werken om het geheel in balans te houden in de “hogere” ecologie die ook weer deel uitmsskt vsn een ecologie etc.

Panarchy-model waarin drie gekoppelde lagen worden getoond. Het kunnen er veel meer zijn.
Panarchie-model bestaat uit twee cirkels die met- en tegen de klok draaien en lijken op een Moebius-ring(8)..

Combineren Vitaliteit & Panarchie in 1 model

middels het afbeelden op PoC:

In dit plaatje wordt de theorie van Panarchie (rechtsonder) getoond als een snijpunt van twee lijnen die twee dualiteiten doorsnijden.

De dualiteten zijn gelijk vs ongelijk en Onafhankelijk vs Afhankelijk.

Het Ritme van de blauwe kant induceert de entrainment aan de rechterkant die zich toont als de top van een golf (“trend”, “bubbel” die de rode kant op de top van zijn “waarde” brengt die betrekking heeft op de “gemeten” waarde bijv. in de vorm van een koers.

Ondertussen zijn aan de “groene” kant alle hulpbronnen opgebruikt en start er een “wetgevend” proces aan de blauwe (overheid) kant die uiteindelijk de “creatieve” mensen (geel) om een idee vraagt om de “crisis” op te lossen.

Besef dat er in feite geen crisis is maar een “ervaren” crisis veroorzaakt door een verkeerd meetsysteem.


1.Innovatie veroorzaakt door ongelijke (“creatieve”) geesten resulteert in verhoogde activiteit die wordt versterkt door het door het gelijke veroorzaakte synchronisatie (Bubble, Hype)

2. De waarde wordt verdeeld over het sociale netwerk totdat de waarde op is (uitputting).

Het gebruik van de innovatie wordt omgezet in kennis. die wordt omgezt in inzicht en de cyclus start opnieuw.

4D-model: Panarchie:

4D Model van een Ecologie middels Panarchy theorie gerelateerd aan PoC. Hierin zijn drie variabelen zichtbaar n.l. Verbondenheid (Communiën), Potential (Agency) en Veerkracht(Resilience).

Samenvatting Innovatie-Cyclus:

Durzame innovatie cyclus. Hetzelfde plaatje als boven maar compact en geprojecteerd in de stad van Plato. In het centrum de Levensboom. In het plaatje de 4 processen die van belang zijn waarbij rechts Ma-at als godin van de Maat.

Laat de maatschappij de waarde van de Industrie beoordelen door de producten te gebruiken.

Het gebruik rwordt omgezet in kennis (Gebruiksregels) die indien nodig weer kan worden opgestart maar veel beter

laat de mensen die anders zijn een idee formuleren hoe het beter kan en start weer opnieuw.

Ma at en Thot: De Boom des Levens

bestaat uit vele vertakkingen.

Ma at en Thot laten de Boom des Levens (Ished) in Heliopolis groeien. De boom bevat het nest van de bennu-vogel, de Phoenix (Vuurvogel). Het vuur is de Levens-energie.

4 de Geometrie van de Menselijke Relaties

The four Geometries of Paths of Change
De vier geometrien komen uit het onderzoek van de antropoloog Alan Fiske naar veel voorkomende relatiepatronen op de wereld

Ze stemmen overeen met PoC waardoor het mogelijk is om een geometrie van de sport te maken.
Digital vortex - Royalty-free Abstract Stockfoto
Gekromde lijnen in de vorm van een vortex zijn de snijdende lijnen van vele Points of View in een gekromde ruimte..

Relatiemodel Alan Fiske:

This image has an empty alt attribute; its file name is anti-fragility-plaatjes-fiske-model.jpeg
De relatie met de vier Perspectieven van PoC is aangegeven middels 4 kleuren.

De relatiemodellen zijn ook of eigenlijk (meet)schalen:

Meten is het tranformeren van een Waarneming met de Zintuigen naar de Ordening van het Denken.

Een relatie berust op een vergelijking van de meting van de verhouding tussen twee personen.

The Hierarchy of Scales
Alan Fiskes Model past op de Meet-schalen waarbij Market pricing een Ratio Schaal is die past op de Euclidische meetkunde. Dat betekent dat alles wordt gemeten met dezelfde Maatstok.

Communal Sharing staat voor de Nominal Scale is een opsomming, lijst zonder ordening.

De gelijk aan de Innovatie cyclus zie boven.

Meer weten over schalen druk hier.

De relaties als meetschalen van Alan Fiske. Voorbeelden van Schalen waarbij Groen een Verzameling , blauw een rangordening, geel een verschil en rood een verhouding is.

Nominale schaal -> Communal Sharing:

De onderdelen van de schaal kunnen in iedere willekeurige volgorde worden getoond (Permutatie).

De deelnemers van een CS zijn voor elkaar inzetbaar en inhoudelijk vervangbaar (“functional redundant”).

Een CS is agile (flexibel) omdat iedere structuur via andere combinaties mogelijk is. CS is de basisvorm van de community.

Wiskundig staat de nominale schaal voor het behoud van de identiteit ( s1=s2 ⇔ f(s1) = f(s2), de permutatie groep).

Sportmodel en Geometrie:

Blauw: Authority Ranking (AR) is een Rangorde waarbij de vraag moet worden beantwoord wat groter betekent. Het gaat om Hoger en Lager.

Geel: Equality Matching (EM): De objecten lijken op elkaar maar zijn niet gelijk. Een voorbeeld zijn de n-hoeken.Het gaat om Meer-en Minder.

Rood: MP: Marketpricing Wedstrijd. de Euclidische geometrie gaat om meten met een standaard-meter.Het gaat om afstand. en verhoudingen.

Groen CS: Samenspelen Community Sharing-” Projectieve Geometrie verbinden van lijnen door gedeelde punten.

Wit: Vitaliteit: Speelveld Iedereen is gelijk, het Absoluut Nulpunt.

Linguist Stephen Pinker provides a good overview of three of Fiske’s Relational Models (Dominance = AR, Communal = CS, Reciprocity = EM) in this brief video.

van Perspectief naar Projectie

Projectieve Geometrie is het gevolg van onderzoek in de renaissance naar het perspectief.


IMAGE: Leonardo's perspectograph
De schilder kijkt vanuit een vlakke wereld met zijn oog door een gat naar een gebogen wereld waarbij een deel van de gebogen wereld verborgen is en er 1 punt is waarbij de rechte lijn van de kijker de bol raakt.
Two projections of the same object.
De verhouding tussen twee verschillende Standpunten gericht op het zelfde Object worden beschreven met behulp van de z.g. Cross-Ratio (A,B;C,D)={\frac {AC\cdot BD}{BC\cdot AD}}

Het belangrijkste verschil tussen Euclidische en niet-Euclidische geometrie is dat de eerste een nulpunt heeft.

De (Euclidische) ruimte van de Zintuigen is Plat:

De euclidische meetkunde is de meetkunde van onze werkelijkheid. Ze is 3d maar eigenlijk plat.

We projecteren alles op een plat scherm dat wordt omgeven met een Rand.

De Ruimte van de Emoties is Gebogen (Naar binnen en naar buiten (Up-&-Down)):

De projectieve meetkunde van de emoties en van het samenspel is een gekromde ruimte waarbij de kromming alle kanten op kan gaan.

Eulidean Geometryflat space euclidean triangle
Hyperbolic Geometry space curves outwardhyperbolic triangle
Spherical Geometry and Elliptic Geometry space curves inwardspherical tringle

Hoe zien Gebogen Ruimten er uit?

Volgens Einstein is ons universum gekromd door de zwaartekracht maar het wil niet zeggen dat de ruimte overal gekromd is.

Soms is er helemaal geen massa of is de massa een lichtgolf, die het beste is voor te stellen als lijn die ons oog als ontvanger verbindt met een lichtpunt.

Dat kun je zien in de vergelijking van twee Energie formules n.l. die van Einstein (E=mc**2) en die van Max Planck E=hf waarbij f de frequentie van het licht is.

Volgens Roger Penrose is het Universum plat en kunnen we het beste voorstellen dat we leven op de binnenkant van een enorm grote bol, die daardoor vrijwel vlak lijkt.

Volgens Penrose is Het universum een eindeloze cyclus van Universums die expandeert en implodeert.

Dat stemt overeen met de hele oude Cosmologische theorie uit India.

De Ruimte van Panarchie is de Ruimte van PoC

Volgens Penrose ziet het universum het resultaat van een z.g. conformal (Hoek-behoudende) afbeelding waarbij de horizon (de rand) een vrijwel oneindige verkleining is van het geheel en het geheel op een platte ruimte lijkt.

De tekening van Escher is daar een goed voorbeeld van. Het plaatje in het centrum transformeert zonder dat de hoeken veranderen in een eindeloos kleine rand.

Een verzameling lijnen met punten, een projectieve ruimte is eigenlijk ook een verzameling hoeken en afhankelijk van de kromming wordt het plaatje steeds vager “smooth”).

De Adaptieve Cyclus:

Een video over de “adaptive cycle van panarchy.
De geschiedenis van Panarchy door de ontdekker Holling.

de Geometrie van Panarchy

De geometrie van Panarchie is de geometrie van PoC en kan worden afgebeeld op het model van Fiske.

Hier een visualisatie waarbij de “mens” wordt voogesteld als een balletje:

De vier fasen van de Panarchy Cyclus voorgesteld als een landschap met een rollende bal
De verschillende vlakke en ronde ruimtes in het model van Panarchy gezien vanuit de belevingswereld van een bal.

In een vlakke ruimte kan de bal alle kanten op terwijl de bal in een gebogen wereld vast kan komen te zitten tussen twee heuvels in een dal.

De plaatjes zijn een 2D-metafoor van een N-dimensionale wereld.

Het basis-model van Panarchie is PoC.

De vier stappen of fasen kom je overal tegen.


Dit model komt uit een regionaal project om de ‘Leide regio Vitaal te maken.

De levensloop van de mens begint en eindigt met een Samenspel tussen zorger (Ouder) en verzorgde (Kind, Bejaarde).

de Levensloop is een Fractal:

Motorische ontwikkeling kind. Een voorbeeld van een cyclus in een cyclus. Dit kan eindeloos doorgaan zowel omhoog als omlaag naar het kleinste van het kleinste de proton.

Voor meer info druk hier.

Een Mens is een Samenspel van vele Levenslopen van vele Organismen:

Het kleinste Organisme is een Chemische reactie die zichzelf steeds weer opheft:

De kleinste loop die er bestaat.

Bestaat er een Cyclus die Rond gaat?

Warom twee cirkels die tegen elkaar in draaien (met- en tegen de klok) niet kunnen samenwerken.

het Atletiek Training model start bij de Geboorte en eindigt bij de Dood:

De Geometrie van Panarchie is die van PoC en dus van het Sportmodel:

Het enige wat je moet doen is de namen van concepten vertalen en een andere naam geven.

De samenhang blijft steeds hetzelfde tot op het kleinste nivo van natuurkunde, het Quantumgebied wat in het Sportmodel op het nivo van het Speelveld zit.

Meer info over Panarchie

2D-model Panarchie en PoC
3D Model Panarchie en Poc..

Het Basis-model van Panarchy en van PoC is een Quaternion )Vierhoek)

Quaternion is een concept van Carl Jung.

Het komt uit de Alchemie en dan weer uit de Logica van Aristoteles.

De vier “kijken” zijn onderling een contradictie.

Onderstaande quaternion over de Natuur die is gebruikt om de theorie van Panarchie vorm te geven.

Boven de beschrijving zie je onder de kleur van de Poc-zienswijze de basis-ruimte waarbij het duidelijk wordt dat het samenspel een ronde ruimte is met de bal boven en het tegendeel van het spel een ronde ruimte is met de bal in het dal.

De ene zit vast en de ander valt bijna.

Standpunt, Horizon, Denk-Raam en Draag-vlak

brown wooden dock

Een schap is een Plank (een 2D-model) waarop we wat we weten netjes neerzetten en waarbij de Horizon de grens is van het nu onbereikbare. 

Schap is Scape in het Engels en de termen Landschap en vriendschap bestaan daar ook waarbij schap soms ship wordt en ook een drijvende plank betekent.

We beschouwen onze buitenwereld door een vierkant Raam (Kader) of tekenen een model op een Vierkant papier.

Het geheel zit tegen het kader aan of zit er zelfs in. kader

Het zijn allemaal 2D vierkanten die soms worden gedragen (staan op) of liggen.

Het punt als sijpunt van lijnen komt ook voor.

Een standpunt is een manier om tegen een betoog aan te kijken,

In 2003 heb ik het Architectuur-congres over dit onderwerp een presentatie gegeven. Het ging vooral over het effect van abstraheren.

Abstraheren heeft als grote probleem dat je moeilijk terug kunt.

Je verliest daardoor de ondergrond waar we eigenlijk met onze voeten op moeten staan.

Plaatje uit de presentatie waarin de invloed van abstractie op het denken wordt getoond waardoor de Territory the Map wordt en we dus de relatie met de werkelijkheid volledig verliezen.

5 De Slinger van Walter Russell:

Het oorspronkelijke document staat hier.

De Amerikaanse Architect Walter Russell kreeg een visioen waarin hem werd uitgelegd dat het Universum een Metronoom is.

Wij tikken als mens met deze grote metronoom mee

Dat bekent dat we als we contacht krijgen met de schepper last krijgen van overload.

De metronoom van Walter Russell.
Het PoC van het model van Walter Russell. De slinger van de metronoom beweegt tussen Desire en Control en krijgt een “zet” van het Potential van de Emoties. De “slinger” vindt zijn rustpunt in de Schepper.
De slinger beweegt heen (expansie) en weer (contractie).De emoties bouwen een Actie Potentieel op wat zich als Impuls ontlaadt.
Zes gekoppelde innovatie slagen.
Van Vakman naar Robot d.m.v. Abstractie.

Door het toepassen van abstractie gaat de productie-cyclus iedere keer een stap omhoog

6 Conclusie

Volgens Seth zijn de Emoties een Oorzaak:

Toen ik deze blog overzag kwam Seth weer naar boven. Seth was een persoonlijkheid die via het medium Jane Roberts communiceerde en erg veel wist over moderne natuurkunde.

Een citaat: ““You usually think, for example, that your feelings about a given event are primarily reactions to the event itself. It seldom occurs to you that the feelings themselves might be primary, and that the particular event was somehow a response to your emotions, rather than the other way around“.

Model Emoties van Nico Frijda.Emoties zijn een Actie-potentieel.

Model van de Emoties van Nico Frijda . De emoties zijn een Action-potential.

Herhaling Modellen:

de Levensloop begint en eindigt

in de Afhankelijke (Emotionele) fase:


De Emoties zijn een Projectieve Ruimte.

The four Geometries of Paths of Change

Innovatie Cyclus


Sportmodel + Deugden.

Slinger van Walter Russell gaat van Kracht naar Conditie en weer terug via Samenspel terug naar de Schepper.

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De Vortex van Walter Russeell.
De (groene) vortex van het Hart bestaat uit vier stappen waarvan de stap van het samenspelen wordt gedeeld.
Het hart chakra bestaat uit twee onderling met een 180 graden gedraaide driehoeken.

Uitvinden, Groeien en Maat Houden.

The Chemical Origin of Semantic Intelligence

This blog is a Result of the Research I did for my blog about Heuristics.

Heuristics shows that Complex problems are never solved by complex solutions.

The best Explaining model is the Worst predictor and the Best predictors are Fourfold.

New Research: What do all the Organisms Share?

My re-search became a search for the relationship between the Human Cognitive system, its Evolutionary Development as an Organism and the State of Artificial Intelligence ending in an Insight that our Semantic intelligence has a Chemical origin.

For a Quick Start and a Summary push this link or start with the Introduction .

This blog starts with Physics moves over to Chemistry and Ends with (Evolutionary)Biology.

In between I discover many other Fusions with Biology like Bio-Physics and even Bio-mathematics.

Where Stuff is Made Off

Stuff (Matter) is made of Light (Photons) that moves in Spiralling Spiral motion just as Peter Rowlands explains.

What is Light?

Light is two Inteacting Fields Electric and Magnetic moving through Space.

When we look with our Multi-dimensional Worlview we see every dimension (Magnitude, Point, Line, Square, Volume, .. shows Another type of Particle.

John Williamsson Explains the PDF of Martin van der Mark who died recently.
Photon spiraling in a Tube.
How to compute with light.

Thermodynamics, the Sience of Heat

Natural processes are irriversible just as we are always moving into the future until we realize that natural laws are not laws at all but Context dependent Observations that can be changed when we change the context.

The Earth

The Russian scientist Wladimir Vernadsky divided the earth in 3 spheres called the (1) the Abiotic sphere – all the non-living energy and material processes (2) the Biosphere – the life processes that live within the abiotic sphere and the Noosphere – the sphere of the human cognitive processes.

The Earth as a Water Cycle

A simulation of the Creation of Life in an atmosphere like early Earth.

Our Chemical Origin

Chemical Bodily Communicators: Hormones

Our Emotions and our Personal Chemistry is controlled by our Hormones.

The endocrine system works in large part by acting on neurons in the brain, which controls the Pituitary Gland. This system is very important for the activation and control of basic behavioral activities.

Hormones are specialized Chemical Messengers that operate with different (Minutes, Days, even Years) Frequencies on a general Bodily level using the Blood flow controlled by the Heart but also on a Cell-to-Cell and an Internal Cell level.

They show an Ancient Fractal Pattern of Uni-ellular Integration.

This pattern repeats in human-to-human Social Structures and is visible in and between our our Cities and States.

Want to know more about Uni-ellular Integration? Push this link.

A City is an Organism

A Path of Change (PoC) model of self-Actualizing City that is an Ecology that grows out of the combined effort of Four different expanding and compressing Forces (look at the four Colors) that act as a 4D Wave. The Set point constitutes the base-line of well-being.

Change Management (Paths of Change)

Paths of Change uses four independent WorldViews with a fifth center.
The model behind PoC can be found in many theories including the Learning theory of Kolb. On this picture you see two cycles that move with-and against the clock.

The Endocrine System

The body is a system that is almost in balance (Homeostasis) controlled by chemical messengers that start and inhibit other messengers that do the same with the others.

Artificial Intelligence

Artificial Intelligence is is not able to React to unknown Situations. It has to be programmed by Intelligent Humans.

The most advanced AI-tool AlphaGo-Zero needs data gathered by humans to Analyze and supposes a Game to win.

AI-systems need Humans to adapt.

Human Heuristics are much smarter than AI-systems.

Wisdom is and Heuristics are an Accumulated Reflection on Experience.

0. Introduction

In this blog I analyze the human Cognitive Architecture and its relationship with the architecture of our fellow-Organisms including the bacteria and viruses.

Nerve Net vs Bilateral Brain
The Hydra has a Distributed brain, the Salamander a Centralized brain.
The marine worm Platynereis has a muscle (red) which develops in the same place and has the same genetic signature as the notochord (blue) that develops into our spinal discs. Credit: Kalliopi Monoyios
The spine is developed out of the notocord that came out of he axocord that was used to Swim.

The marine worm Platynereis has a muscle (red) which develops in the same place and has the same genetic signature as the notochord (blue) that develops into our spinal discs. 

The small worm has eyes and other sensors that makes it possible to move in a 4D-frame.

Just as the bacteria the rotators are a integral part of the total cycle.
Trichoplax adhaerens is a species of placozoa, the simplest animals at the base of the tree of life.

Unbounded vs Bounded vs Ecological Rationality

I also relate the human Cognitive architecture to the architecture of Artificial Inteligence, a result of  Bounded Rationality theory of Herbert Simon that recently was taken over by the Human Bias of Daniel Kahneman and more recently by  Ecological Rationality of Gerd Gigenrenzer also called Heuristics.

The term Ecological means Context-Dependent.


Heuristics are the “positive” part of the Human Bias, a problem we encounter when we are put under Stress or don’t have enough Time to Reflect.

Gerd Gigerenzer and Nassim Taleb about why Complex systems Fail and Experts are not always Experts. About Taking Risk with Insight.


Small Systems are just as Smart as Big Systems

The Law of Kleiber shows a relationship between the Metabolism (“Chemical Energy“) of an Organism and its Mass. The law holds for the Smallest (UniCellular) and the Biggest organisms and is even applicable to much bigger Organisations like Cities. Intelligence is independent from the Size of an Organism or
Big Systems are not more Intelligent than Small Systems.

Organisms are Chemical Factories

After cooling The Earth became a “giant Chemical reactor” that was able to Catch life that was part of Colliding Meteorites.

The Way Electrons Rotate around anti-electrons (protons, Kernel) in more Complex Elements looks a lot like Organisms just as very Big Far away structures look a lot like very small Close by structures .

Our Universe is a highly Self-referencing (Fractal) structure.

Fig. 2

Life is an Autocatalytic Chemical Reaction

Life is an Autocatalytic Chemical Reaction, a Loop in which an Activator produces its own inhibitor.

Example of an Activator/Inhibitor System.
An Activator/Inhibitor-System in Practice with the Slime Mold.Interesting is (1) Reuse of just one chemical AMP Adinine Mono Phosphate) as a Trigger to start clustering , (2) Synchronization and Repeating an old Pattern (“Growing into a Plant“). AMP is the simple form of ATP part of the Krebs-cycle.

Organisms are Moving Memories

Organisms are Moving Memories exploring their environment to satisfy their need for the Energy (chemicals) they need to Survive.

An Organism is its Emotion

To stay in de right place they move to the place their E-mover (“flagellum”) sends them to.

The Bodyplan of the Bacterium with the Memory in the middle and the Brain, A receptor at the Front. The place of the Memory is also the place of the Heart of the Human.

The Heart contains the Memory of the Body

In Ancient Religion the Heart was the Seat of the Soul.

The Brain in the Head is a Sensor. Its Memory is Distributed all over the Body in the Spindles of the Muscles and the Heart.

The Bodyplan of the bacterium can be seen in all the organisms including Humans.

In between a Sensor and Mover a short term Memory is created out of the molecules we take in at the Front.

Memory is a Repeating Pattern.

We are auto-poietic auto-catalytic systems Born in the Sea.

A Human is a Higher Order Embedding of a Bacterium

The difference between the bacterium and us is called Higher Order Embedding meaning the same principle is applied to Itself, creating a Hierarchy.

Creating a Hiearchy is a proces Without an End. That’s why our Living Context was transformed into a Infinite space Above us with an infinite Power that controls it. This resulted in many Stories that turned into Myths.

If you want to start now with the blog push here or first read about Scientific Narratives.

Scientific Narratives and the Meta-Myth

This hierarchy is really a very complicated Dynamic Network that contains many sub-structures {“Semantic” “Chemical“, “Ecological“, “Social“,and other types of Networks) we have Named (Categorized) using a Principle that was in Tune with the Spirit of the Time.

This resulted in a lot of Scientific Narratives that turned into Scientific Myths that are summarized by Joseph Campbell (a follower of Carl Jung) in the Hero Quest that starts with a Call to Adventure (a Vocation).

The Quest of Mankind

Scientific Narratives claim to be based on a Truth not realising that this truth is also a Belief.

Currenty especially Physics (“Big Bang“) and Biology (Evolution) is discovering that the Myth of Creation blocks us to see how Simple Life and the Universe really is.

My first Mentor was a director of ABN (Harry Haenen). My last mentor was Will McWhinney.

My Gift of the Goddess was the Discovery of the Coming of The Golden Age.

The Age of Aquarius

The hero’s Quest is an old Cyclic model that was projected on the Zodiac.

We are now moving from Pisces to Aquarius meaning from Dualism to Holism.

The very longterm Precession cycle is moving Against the Clock of the yearly Sun Cycle meaning the we are now at the Start of New long term cycle meaning a new Call to Adventure for Mankind.

FRom Dualism to Holism

An Astronomical Age takes 26000 years.

We are ending the Age of the Fish (Pisces) and are moving into the Age of Aquarius.

Pisces is the time of Duality, the battle about Good and Bad.

the Age of Aquarius heralds the arrival of a new stage of the kondratiev cycle, the Golden Age.

Drawing of man holding large water jar with water pouring out, with scattered stars.
Aquarius opens a Vessel with Water that brings the Fish to the Milkey Way.
Left you can see the Arrows of Sagittarius that precedes Aquarius. Water is the symbol of the Aether. (and other Flow Systems).
The cycle of the Zodiac.

What are Heuristics?

When I was re-searching for ny blog about Heuristics I found the thesis of Sheldon J. Chow, called “Heuristics, Concepts, and Cognitive Architecture: Toward Understanding How The Mind Works”

Heuristics are cognitive procedures that satisfice, and that require little cognitive resources for their recruitment and execution; they operate by exploiting informational structures, called  Perceptual Symbol Systems (PSS).

Exploiting Perceptual Symbol Systems

Concepts are highly organized collections of linguistically coded perceptual information.

Our Cognition looks lke a Video-recorder connected to our real Emotions and Bodily-processes that are retrieved when certain concepts (Anchors) or Situations are recalled.

Concepts are Simulators that embody Perceptual symbols that are collections of neurons that are activated in the perceptual centres of the Brain.

What we can Imagine Exists

Brouwer: Mathematics is a product of the Imagination. What we can Imagine exists. See also Where mathematics comes from by George Lakoff who discovered the foundation of language being embodied methaphors who are 1-1 (Isomophic) Mappings from the Outside sensed world to the Inside bodily awareness.

Mathematical Language is a “Normal” language

An Assertion (If Condition (Boolean) =True do Action A or Action B) is called a Judgement that is Witnessed by a Fact (Evaluate Condition) that turns the Assertion into an Action. When we move to Space assertions become Points.

Martin Lof Type Theory describes Mathematical Language

Martin Lof Type theory is the definition of a programming language that makes it possible to program mathematical reasoning to support mathematical Proof checking.

About Type theory, the foundation of Mathematics.
Intuitional Mathenatics became the foundation of Homotopy Type theory that became the Foundation of Mathematics by the work of Martin Lof who started a discussion about what Judgementreally is. This i a very long Video about the research of Martin Lof into the history of the term Judgement.

Perceptual states arise in the Sensory-Motor system

Perceptual states arise in the Sensory-Motor system.A subset of the state is extracted by selective Attention and stored in long-term memory.

This perceptual memory can function as a symbol entering into symbol manipulation.Collections of the perceptual symbols comprise our conceptual representations.

The structure of a perceptual symbol corresponds (at least somewhat) to the perceptual state that produced it.
A Conceptual Model of a Perceptual Symbol System being a part of the PDF below.
Figure 3. (A) An example of establishing an initial frame for car after processing a first instance. (B) The frame’s evolution after processing a second instance. (C) Constructing a simulation of the second instance from the frame in panel B. In Panels A and B, lines with arrows represent excitatory connections, and lines with circles represent inhibitory connections.
An example of establishing an initial frame for car after processing a first instance. (B) The frame’s evolution after processing a second instance. (C) Constructing a simulation of the second instance…

Relevance Theory And the Frame Problem

The Thesis contains a reference to two for me interesting and highly interrelated Philosophical Questions called the Frame and the Relevance problem which is about determining what is and is not relevant in our cognitive processing or What do we Know when we Sense a Situation.

Relevance and Wisdom

Another result of my search into heuristics was a very impressive You Tube Playlist “John Vervaeke on Wisdom and the Meaning Crisis” that contains the link between Relevance and Wisdom being the result of Insight.

The egyptian goddess of Wisdom was called Maat . She represents the Concept of Harmony.

The Feather of Maat is a Measure that has a value of almost Nothing.

Ma’at aresponsible for Harmony and Thot, the Magician change the Ished Tree. This tree contains the Past and the Future. A Tree is a Symbol of the Path between the Point (Seed) of Creation and the Now.
The Heart is the Pump of the Up (Brain) and the Down Circulation of the Body.

Both parts are in Balance when their Sum is Zero.

The Ape represents the Human.
Two four-fold cycles connected at the Connection point (green) of both Cycles.

Left a comparable model where the parts (now called tatva’s) are called chakra’s (meaning “wheels“).

Every part of this model is able to turn into a new cycle until a new “emergent” level is reached.

Table of Content

Short description of the content of the Chapters:

Reason: This blog is the result of the Reserch i did for my blog about Heuristics.

During this research I found a Thesis that contained a lot of Interesting links.

Thermodynamics One of these links was a presentatation about Thermodynamics (the science of Heat) I was looking for that proved that the laws of physics are not “Eternal” laws but Context Dependent Observations. The same Vision as the American Pragmatists (Charles Sanders Peirce, William James, and John Dewey)  around 1840 had.

0. Introduction An old blog about bacteria brought me back on the path of Paths of Change but with the re-introduction of the Quaternio of Carl Jung.

A Video with Gerd Gigenrenzer and Nassim Taleb about Heuristics and Risk Taking.

In this blog I compare the human Cognitive Architecture with the Architecture of Organisms.

You will see that Bacteria are Controlled by an(1) Chemical Autocatalytic Cycle that contains a (2):Head that is used as a Sensor, 3):a Heart in the Middle that operates as a Memory and (4): a Tail that functions as a Motor.

In the Middle you can find the Heart, the Seat of the Soul.

Our chemical architecture is controlled by Hormones

What are Heuristics?

This blog started as a follow-up on my blog about Heuristics.

I found a thesis explaining Heuristics with the concept of Perceptual Symbol Systems being hierarchical Semantic Models linked into a Semantic Network, (SM) being a Meta SM.

The personal Semantic network not only contains Perceptual symbols but also Emotions, Patterns, and Intuitions, being Wisdom Gathered in many generations and transmitted by the epi-genes of the mother and the father.

Is mathematics a normal language?

In the thesis I also found the Frame -Problem and Relevance theory.

Both are a result of the big problem AI-systems have to look like humans being the same problem humans face when they want to do something Relevant.

The frame problem is the problem that we not really understand what is happening in a situation.

We are highly biased by What we know (including our Inate knowledge) and the Time our “brain” needs to come into Action.

This started an inquiry in the State of the Art of AI as a competitor of Heuristics.

I found that Relevance Theory(RT) looks like Interpersonal Theory (IT).

IT explains Mental Ilness and is a model of the Human Cognitive Architecture that is fully compatible with Paths of Change (PoC).

RT is also fully compatible with the theories of Mikhael Bahktin (MB).

Wisdom is the result of Reflection on Experience.

Chapter 1: Interpersonal Theory : Humans are Dialogical beings.

They comunicate internally and externally with many voices .

We not only communicate with sounds (words) but ook with movements (Eye), chemicals and EM-fields (“Bodyfield“). .

We are many personalities that react in a diffrent way and start an Internal dialogue.

Our personalities expect that the sender is providing meaning compressed in their Points of View.

People that have only one Point of View are disconnected because every View is Independent (Making an angle of 90 degrees) from all the others.

Normal communication takes two Complemenatary views into account.

Because of this RT, IP, MB,PoC are a Quaternion(Fourfold), a concept invented by Carl Jung who found the concept in ancient Mystics and ancient Egyptian, Indian and Chinese Theory including Alchemy.

Chapter 2: What is the Architecture of the Human Mind,

What is the link between AI and the Brain.

what is Innate and what is learned ?

Experiments show that the factor Nature is much bigger than Nurture.

It looks like a lot of what we know has been learned a very Long time ago by our ancestors.

What architecture do we share with the organisms?

Chapter 3: Relevance Theory:

What is important in a conversation? It has to have just enough information, with the right quality in the right manner,

We communicate much more than we think with our body and our Tone of Voice.

Our argumentation is primary used to Convice ourselves

Chapter 4: The Frame Problem

What do humans really know when they Observe a situation.

We see what we want to see.

What is Intelligence and therefore Artificial Intelligence?

Chapter 5: General Semantics and other AI Architectures.

: How to prevent that you are manipulated by language?

Alfred Korzibski deloped a theory called General Semantics that can be used to create an AI that is able to Adapt.

A description of many Other AI-Architectures shows that they are all based on Bounded Rationality.

This means that the AI expiriences the same Bias as a human and is therefore only applicable on a defined fixed Problem-domain.

Chapter 6: From Hierarchy to Network:,

Concepts are Simulators that part of a Hierchy of Semantic Networks that looks like a Network.

This is the most Important chapter.

What is this Hierarchy of hierarchies? It contains many levels called Scales.

On every scale a The same Pattern repeats itself.

What is the principle behind life itself?

The priciple of life is Self-Replication and EnergeticStability.

We Exist because there is Change.

About Autocatalytic and Autopoietic systems.

About Chemical-Intelligence.

What are Anticipatory Systems? , To be an anticipatory system it has to contain a model of the outside world.

Life is an expanding system in which all te possibilties of a very basic simple model are created until the basic model innovates itself.

This chapter is really the end of this blog because it shows that the basic model of life is Activation and Inhibition being a Duality. The duality is compatible with Movement being Distance divided by Time.

Rodney Cotterill was 20 years ago far ahead of his Colleaques.

The last part of this blog contains many highly abstract (Bounded?) subjects that show what’s wrong with current (bio-)Science.

Gategory Theory: Is it possible to define theories as Functions?

About the Gategory Theory of Networks.

A Petri-net was a Chemical Ttheory about Reaction-networks and was reused as a tool to define Software-programs and second order Differential Equations.

Is it possible to Map more “Knowledge fields”into other Knowledge-fields?

What are Meta-Meta-systems?

Is it possible to expand a Meta System in all Directions and not only Up?

Schema theory has a lot in common with Paths of Change but moves beyond a Point of View into higher dimensions and chaotic fields of Philosophy.

Schema theory is an alternative for Category Theory where different views are compared to find out where they are different.

Is a Meta Difference a real difference?

What are concepts and where do they come from.

Chapter 7. Meta-heuristics The Thesis of Seldon J. Show is about Reasoning about Heuristics.

Meta-heuristics.has become a new field of science,

It looks a lot like a Merger of Psychology with Operations Research (Mathematics).

Chapter 8. From Biophysics to Quantum Biology and Bio Mathematics

Erwin Schrödinger one of the Inventors of Quantum Mechanics (QM) wrote a book called What is Life.

QM can be applied at the very small level of the Cell. Ik can be shown that Photo-Sysynthesis in the Plant but also the detection of chemicals by the Nose can be explained with the same principle.

This part contains many interesting video’s and PDF’s.

Chapter 9. Conclusion: How to design a modern Expert System: AI is based on Neural Networks. It looks like Neural Networks are not needed for the funtioning of Brain. So what will be the next step?

This chapter has to be written.

It is impossible to See the Eye that Sees. Is it possible to analyse Intelligence with Intelligence? or we just What we are? Organisms are Selfreplicating Autocatalyc Chemical Processes (ACCP) that are part of higher level ACCP’s until their Sum is Zero.

1. Interpersonal Theory is an example of a Quaternio

This image has an empty alt attribute; its file name is ls_005.jpg
Two levels of Expansion and Compression linked to 7 essential Questions of an Individual in the Center.
Paths of Change (PoC) is a Scale Free (fractal) theory of Change developed by Will McWhinney. PoC is an example of what Carl Jung called a Quaternio (a Fourfold).

Every Combination of two Points of View generates a Question (6).

Every Dual combination of points-of-view is a Game

A Quaternio contains four concepts that all have a complementary relation.

So are the senses, looking outside connected with the imagination, looking inside connected by the process Invent or Explore.

You can also play with dualism (2), the distinction )1) Zero 0) or nothing (∅).

Relevance theory is devoped to explain the Evolution of the human Cognitive system and human intelligence. It is also used to create artificial intelligence.

Relevance theory has a lot in common with Interpersonal theory and the theories of Bahktin about the Utterance or the internal and external Dialogue we take part in.

Interpersonal theory assumes that humans expect meaningful information from other humans and from the humans that are inside. We are always in a dialogue.

It also assumes that a mental illness can be explained by a connection-problem. It is all about the Tension between Agency and Communion.
Interpersonal Circumplex. The interpersonal circumplex is defined by two orthogonal axes. In recent years, it has become conventional to identify the vertical and horizontal axes with the broad constructs of agency and communion.
Human interaction can be modelled with two orthogonal (90 degree angles)variables that were also called yin (communion) and yang Agency) or o en 1 or just yin and not yin. The four 90 degree angles support a 4 dimensional Universe of Discourse that contains rotating rotations being Spirals.
Humans learn when an Expectation is violated. This happens when an External or Internal Event takes place.

The event is evaluated by the Emotions and (when there is enough time (and interest and energy) Reflected upon by the Imagination and Abstracted (moved Up) into a Model (frame, scape)that is again Instructed and or Tested.

The Learning cycle moves with and against the Clock and also moves through the diagonal between Belief and and the Prove of Belief and Dependence and in-dependence.
This picture describes the model of Nico Frijda about the Emotions: the readiness (or unreadiness) to enter into contact or interaction with some object, and the mode of that contact or interaction. [ … ] Different motivational states or states of action readiness exist … Emotions are tendencies to establish, maintain, or disrupt a relationship with the environment.
Reflect: Finding a pattern in the many actions the senses detect.

2. Our Cognitive Architecture is shared with the Organisms

This part is about the architecture we share with all of the Organisms.

It is mainly based on earlier work of Rodney Cotterill and Will McWhinney, both diseased.

Peter Carruthers: Innate Human Cognition. What is the Architecture of the Mind?
Modular architecture of Peter Carruthers

The Self-Assembling Brain

“our genome contains the information required to create our brain. That information, however, is not a blueprint that describes the brain, but an algorithm that develops it with time and energy. In the biological brain, growth, organization, and learning happen in tandem. At each new stage of development, our brain gains new learning capabilities (common sense, logic, language, problem-solving, planning, math). And as we grow older, our capacity to learn changes”

Every Organism is a step in a very long term process we call evolution in which the outside-world is internalized and externalized in a new outside-world. The genome reproduces a body that is able to reproduce a body but also a system that is able to reproduce and adapt itself.

The Basic Architecture: We are Moving Memories

The picture shows the most simple structure of an organism being a Motor and a Receptor connected with a Short term Memory.

The bacterium is Exploring its environment by changing the rotation of its flagellum with and against the clock.

The short term memory is an autocatalytic, chemical reaction that determinates not only the Rythm of the rotation but also the Direction of the rotation of the rotor.

Rodney Cotterill’s neuro-physiological work supports the motor-environment-mind schema of complex feedback loops. The complex of feedback loops enables one to “Know what one knows.”:

The ability to know that one knows is referred to by psychologists as first-order embedding.

Higher embedding, such as that exemplified by knowing that one knows that one knows, merely depends on the ability to hold things in separate patches of neuronal activity in working memory.

This manifests itself in the creature’s intelligence, which also dictates its ability to consolidate existing schemata into new schema.” is a unique feature of mammalian brains.

Intelligence and reflection are explained as due to functioning of the web of feedback loops, both internal and external, that evolved in higher animals“.

3. Relevance Theory

The word Relevant comes from Latin relevare “to lessen, lighten, levis: light.

Relevance theory is a framework for understanding the interpretation of utterances.

It aims to explain the well recognised fact that communicators usually convey much more information with their  utterances and their Body than what is contained in their literal sense. 

Our Cognitive Architecture Supports Collaboration:

Daniel Kahneman and Amos Tversky used “cognitive biases,” to show that humans make irrational choices.

One of these biasses is called the conformation bias. Humans love to hear a confirmation of what they believe.

Lately a new “science” called Evolutionary Psychology” is trying to find out what “functions” helped the human to survive.

Historically, evolutionary pressure has resulted in cognitive systems that recognise potentially relevant stimuli and try to draw relevant conclusions.

Dan sperber and Hugo mercier argued that this type of bias, being a part of communication, is supporting collaboration.

To Attract the Attention the “uttering” has to be Relevant, making things easy, simple, light.

They also looked at the amount of Energy it takes to communicate.

Relevance theory started with the research of Robert Grice. The Gricean maximsQuantity (Just Enough), Quality (True), Relation (Relevant)), and Manner (the Right Way) describe the principles observed by people in pursuit of effective communication.

Argumentation Theory tries to show the evolutionary benifit of many cognitive biasses.

The Perceptual Symbol Systems are so rich in the type of connections that they generate free Associations that keep a group in the right direction making it possible to Nudge a group by giving them only one choice into the desired direction. This is comparable with a vector-field.

Conclusions Precede Arguments:

Argumentation theory and Rhetorics. We use arguments to convince others but also to convince ourselves.

We are able to use many different cognitive tools (modules) at the same time without knowing we do that.

We use generalizations and are not aware of the differences between the generalisations.

We love Dopamine and therefore love to act in situations were dopomine is produced (“gambling).

There are two systems active the Controlled (Dopamine) and the Control system (Observer).

Conclusions come first, arguments later.

We always pick the last we hear and find the arguments to justify our decision.

Falsification avoids bias.

We are social animals and our brain has to support cooperation.

We could benefit from deceiving but we have to keep our Status.

Gossip supports our status.

We have to Sell ourselves.

Conformation Bias helps to do that.

Humans are Curious Toolmakers .

Coding vs Decoding. Humans are Curious. We are tool makers improving our tools. the older the more knowledge and problems to retrieve out of memory. Attention is given to something that fits what we want know and is relevant. Time and Energy are always Limited.

Our Communication is mainly Implicit

Maximilisation of relevance.Balance between Energy and Cognitive-Contextual effects. Assesment is looking for relevance.

The difference between the foreground and the background of comunication or the difference between Explicit and Implicit, figurative language such as hyperbolemetaphor and irony.

4. The Frame Problem:

The frame problem is about What a “system” is able to see in a Situation and what changes what (“an Event“) and what is Changed and is Not Changed.

The frame problem was created when IT-technology moved into the area of Artificial Intelligence.

At that time every “problem” was solved by designing a new Language like LISP and PROLOG.

Logic (“rules“) put into a program was leading the way and logic was guided by Set-theory.

Although Chomsky’s Language theory was already there nobody realized that human Language is very diferent from a Progamming Language that is Context-indepentedent.

The Artifical Intelligence of the Computer does not understand what was out there and tried to catagorize the outside by also define the not-categories not realizing that they were not bounded (infinite).

Until now the AI-computer looks like a savant a highly specialized human that is in an expert in one area but incapable in the Infinite area’s outside its speciality.

It is not able to define what is relevant and does not see the difference between implicit and the explicit conversations. It is also not able to interpret the many illogical signs we send with our Body, Facial Expressions and Manner until Geroge Lakoff and his group of scientitst detected that we the human communication is embodied.

5. General Semantics and other AI-architectures

This chapter contains many AI-architectures even a model based on General Semantics at the end.

As you will see all the models are different from the model that is explaining heuristics in the Introduction.

The main reason is that the models are based on the theories of bounded rationality that existed before the time of Herbert Simon and Daniel Kahneman, both winners of the Nobel Prize in Economics , described in my blog about Heuristics.

According to Marcus Hutter Intelligence is Compression just as you can find in my blog about Heuristics. If you want to know more move directly to the Conclusion.

5.1 General Semantics

Alfred Korzibski was forced to fight in the first world war. He did not understand why humans act like cruel animals. After moving to the Us and marying he started to research human Communication and developed the theory of General Semantics.

General semantics is concerned with how events translate to perceptions, how they are further modified by the names and labels we apply to them, and how we might gain a measure of control over our own responses, cognitive, emotional, and behavioral.

General semantics had a lot of influence on cognitive-therapy including NLP.

The model of Korzybski looks a lot like the model of Interpersonal theory hat describes Mental Illness.
The model of Interpersonal based on the model of Paths of Change. Return to the Start of this blog.
General semantics explained by Korzibski himself.
Korzibski designed a model of Model of the Nervous-System

5.2 Artifical Intelligence Architectures:

When you press the link above you will find an impressive website about everything you want to know about AI-architectures. Below you find a few examples I have taken out of this website.

5.3 The LIDA Cognitive Cycle Architecture 

5.4 CYC : understanding common Sense:


5.5 AIXI Optimizing Reward:

AIXI is a AI-theory developed by Marcus Hutter. IXI is a reinforcement learning agent. It maximizes the expected total rewards received from the environment. Intuitively, it simultaneously considers every computable hypothesis (or environment). In each time step, it looks at every possible program and evaluates how many rewards that program generates depending on the next action taken.

5.6 CALO The Perfect PAL:

the DArpa CALO-project ( Cognitive Assistant that Learns and Organizes ).

5.7 ACT-R A new AI Program Language:

ACT-R is a cognitive architecture: a theory for simulating and understanding human cognition. Researchers working on ACT-R strive to understand how people organize.

5.8 AI Architecture based on General Semantics:

6. From Hierarchy to a Network of Hierarchies

6.1 Organisms are not Machines

In the Evolution of the the Organisms two things happened:

(1) the processes of life became auto-catalytic meaning that a chemical process became a repeating cycle (auto) that was sustained and became independent of other processes.

(2) the cycles got connected and created bigger cycles without breaking the katalytic mode until one of the cyclic cycles was able to look like an independent entity.

A cycle that reproduces itself is called an Autopoiesis, a Self-reproduction.

Below you can watch 4 video’s that give examples of autopoietic auto-catalytic systems and the big change in thinking they accomplished.

One of the major Scientists was Robert Rosen: See chapter 6.2.

He tried to explain Anticipatory Systems and found out that it is impossible to explain them with our current modelling language that supposes that Nature is a Machine made by a (Divine) Architect (Pthah) that got the Specifications from Ma,at (responsible for Balance, Harmony) and gave them to Khnum, the divine potter, to Make the animals (including the Humans) out of Clay.

Autopoietic Systems are Self-Reproducing.
Auto catalytic systems explain the Origin of life

We Exist because there is Change

A brilliant lecture of Mihai Nadin, the last living collaborator of Robert Rosen.

How do we account for change while being part of it? How do we account for anticipation as an expression of preparing and adapting to change?

There are Reactive and Anticipatory systems. The last category has to predict the Future.

To predict the future a system has to Contain the Future. we call an Expectation .

A good example of an anticipatory system is a Pregnant woman.

Humans learn from an Expectation Failure sometimes called a Mistake.

Collaborative Learning

Collaboration and learning are active in their own space (the physical context and the social context) and join in mental space (the internal state of a person).

The Evolution of Life

The origin of life lies deep in the Universe were stars like our Sun are created.

Life was ecreated in the labatory by simulating the situation of an early Earth. After that early life was also detected in Meteorites.

Later a lot of Suns where detected that look like our Sun so Life could be Abundant in the Universe.

The Pattern of Creation is repeating at every level of Scale.


Life is the result of Combining the combinations until infinity of Simple Molecules made out of Four basic molecules.
Again the many combinations of a Fourfold, Hydrogen, Oxygen, Nitrogen and Carbon (+1,-2,-3,+4) determinate the Origins of life.

The interesting point is that the Sum of theValences of the Elements of the fourfold cycle = Zero.

Because the four elements are Rotating structures the Chemistry of the Beginning of Life on Earth fits perfectly with the theory of Peter Rowlands about the Nilpotent Universe (See below).

The chemical elements are ordered by the Periodic Table of of  Dmitri Mendeleev . The document below describes how the elements facitated the birth of Life.

Prochlorococcus is thought to be the most abundant photosynthetic organism on Earth

The sea contains a Huge and very Divers amount of Small Foto-Synthetic cells. Inside the cell they look like Plants.

Video’s of an Impressive playlist.about the Origin of Life

Life was started at places where a boundary could be created.
The first step in the Evolition of Life is the creation of the multi-cellular organisms that were combinations of single cells.

This and the scond video are about choanoflagellates being a long flagellum (mover) connected to a Cell.

The cells Unite and disunite at will.
Cells”eat” bacteria but also work together(symbiosis) with bacteria to form clusters (Rosseta).

The geometry of the clusters is determinated by the type of bacteria in the symbioses.
How cells communicate.

Introduction: Anticipatory Systems

6.2 Robert Rosen: Anticipatory Sytems

Robert Rosen made a distinction between Simple and Complex Systems.

In Complex Systems the Whole is more than the Sum of its Parts meaning that there are many Relations between the Parts that are not only Causal but have another Meaning.

In Simple systems the nodes are Nouns and the links are Verbs creating a Narrative that explains its Behavior.

Simple systems are Mechanical systems.

They can be explained by the Four Causes of Aristototle that always begin with asking How (Processs, Verb) an Agent (in general a Human Craftsman (Agent, I, he, ) has assembled Material parts (Noun) ending with the Why being its Purpose.

Living System have no purpose because they are not made by an mechanical process controlled by a craftsman although many people believe this happened when the autocatalytic proces took place.

Systems that can anticipate, con­tain internal predictive models of themselves and/or their environments,

They are part of the class of Third Order Cybernetic Models.

Robert Rosen, Natural systems are explained by mapping them on a Machine-Model mapping (Encoding, Decoding) them on a Formal Model where the Causal relation turns into an Inference.
Pattern formation in Nature.Te model contains two processes called aan Activator and and an Inhibitor.
Gierer-Meinhardt-model is one of the important types of pattern formation and morphogenesis observed in development.

A citation of chapter 1 shows that the same pattern of Acitivation and Inhibition is happening in the body : ” The peripheral reflexes can act independently of the brain, but they can also be coordinated and sequenced by it. The main point to be grasped here is that the brain’s primary purpose lies in the need for inhibiting peripheral reflexes, when particularly sophisticated sequences of muscular movements have to be executed“.

6.3 Dynamic Networks

Dynamic Modularity. ?How Life expanded from a Bacterium to a Human. This a part of an impressive series of video’s.
The Evolution of the Organism can be seen as an expanding structure in time that is controlled by a Linear Bodyplan that starts with the “Head” and ends with the “Tail” in which the genes act as Switches that start a deeper level of expansion.
Brain of a Fruitfly is divided in functional area’s.

6.4 The Human Brain is an Adaptive Dymamic Network:

More about the development of the brain push here.


Mapping looks a lot like Category Theory and Schema-theory.

The idea is to map a problem-space to a domain where the problem is already solved, solve the problem and map the Solution back.

To do that the function has to be Isomorphic meaning that structure is preserved in two ways.

Below an Example.

The first picture is the result of making use of a mapping from the Rational Model of Alan Fiske using the function of Paths of Change (see the colors) to the Scales in Measurement Theory.

The four Geometries of Paths of Change
A MApping from Alan Fiske’s theory of Human Relations to Geometry and Panarchy (Ecology) and Anti-fragility.connected by Paths of Change.
The Relational models of Alan Fiske (see below) mapped to the scales of Measurement. It looks like we “measure” our relationship with four possibel scales.
The model of Alan Fiske mapped to Path of Change (PoC)
The Four Scales (with the color of PoC)explained.

6.5 Category Theory: Systems are Functions, Metaphors are Functions:

How to combine category theory and network theory.

6.6 Kent Palmer: Meta-Systems

I found Kent Palmer a long tine ago.

He is exploring the Many Meta-Levels above Reality like Will McWhinney was exploring the 2×2-level (the Quaternio).

I have also played with the Higher than Quaternio levels and tried to keep the Four “types” based on the Duality (Agency, Communion) in tact.

A Generator of a cycling cycle related to the Chinese Sheng Cycle being a (Magic) Square with the Xenter or the Whole (White) in the middle (cross) connected to the other 4 points.

As you can see the Pentragram is a Fractal model. The Points of View point into many Orthogonal “Independent“) Directions where Up (Yellow) is Abstracting and Green is Implementing and Red and Blue are SpaceTime.

The types relate with the four JungianOrgans” of the human being Mind (blue, Thinking), Sensory-Motor (Red, Action-Sensing), Social (Green, Emotions, Feeling), Imagination (Yellow, Intuitive).

When we look at the Bacterium the Sensor and the Motor (Flagellum) are put into a Container (Cell, Boundary) and are related with a Chemical AutoCatalytic Process that is a Memory that operates in a Context that contains “active” chemicals (with an E/M-valence) and other Organisms (F.i. viruses).

The bacterium according to Rodney Cotterill.

The difference with the Four types of Carl Jung is the whole (1, Boundary) put into the Pentagram, the Five (3+2).

This problem was alreaday “solved” in Chinese Philosophy where the five was the symbol of the whole also called the Quintessence. the essential part of Matter we call Energy and also called Aether.

The Sheng Cycle is the result of connecting a 3×3 Magic Square called the Lo Shu.

Chinese (fractal) Sheng Cycle constructed with the PoC-model where White is the Whole (Boundary, Protect).

Kent became incomprehensible when he left the first the Meta-level trying to find alternatives for the Duality “abstraction or implementation”.

Below a website that explores all the 2**N-levels .

About meta-systems

6.8 What are Concepts?

I found a a thesis called Peirce, Vygotsky and Concept Formation by Chris Barnham. I is also about the Semiotics and Pragmatism of Peirce. Watch out. This is complicated stuff just as the theory of Kent Palmer.

7. Meta-Heuristics

8. From Biophysics to Quantum-Biology and Bio Mathematics

9. Conclusion

This blog started with additional research on Heuristics that resulted in research about the History of the human Cognitive architecture that brought me back to Rodney Cotteril a friend of my mentor Will McWhinney who rediscovered the Paths of Change of Carl Jung he called a Quaternio based on the Quaternions invented by William Rowan Hamilton in 1841 and used by Maxwell to define his theory of Electro Magnetism.

Later I found the Quaternions of Peter Rowlands that unites Physics and is based on “recent” mathematics he called Biomathematics for the reason that it also explains Biology and the Human.

Quaternions Multivariate Vectors
The Quaternio of Peter Rowlands is based on Octonions being an abstraction of the Quaternions that are an abstraction of the Complex numbers rhat are Rotations of Real Numbers.

Peter proved that our Universe is a Turing Machine based on a special language that is constantly Rewritten by a nilpotent condition meaning its Sum is Zero.

The last weeks I have explored Type Theory as a foundation of Computer languages and Cohomogy theory, a foundation of the fusion of Topology and Algebra.

Again everything got together even in my dreams where I discovered CoQ without knowing it existed.

An Eye cannot See itself. About the theory of Logical Types of Bertrand Russell applied by George Bateson to Play and Learning.

The infinite levels of Learning explained by Will McWhinney, A Chapter of his never published book.

About Alchemy and Logic

When thou hast made the Quadrangle Round, Then is all the Secret found”. George Ripley (d. d 1490).

This blog is about Logic, Alchemy and the relationship between Logic and Alchemy.

Ripley, The alchemist knew that History Repeats itself All the Time. That’s why you know when you are full Circle or when the Square is Round.

Alchemy is the old Egyptian Art of Transformation summarized in the Latin expression Solve (break down in separate elementset Coagula (recombined coming back together (coagulating) in a new, higher form)..

Classic Logic is based on the Square of Opposition of Aristotle.

This square was discussed for more than 2000 years. Recently scientists detected that the Square is really a Cube. It misses an extra dimension.

The Square describes  the six oppositions (“dual combinations”) of possibility (“some”, Particular Affirmative), necessity (“all”, Universal Affirmative), not-possibility (“not some”, Particular Negative) and not-necessity (“not all”, Universal Negative).

Geometric Logic is a part of Modal Logic which is a part of Logic.

In Geometric Logic the Linguistic Representations of Logic are mapped to the Graphical Representations of Geometry.

Modal Logic works with the notion that propositions can be mapped to sets of possible worlds.

The idea of possible worlds is attributed to the famous mathematician Gottfried Leibniz (1646-1716), who spoke of possible worlds as ideas in the mind of God and argued that our actually created world must be the best of all possible worlds. Possible worlds play an important role in the explanation of Quantum Mechanics.

Alchemy is based on the Square of the Four Elements. The Four Elements are oppositions. The oppositions of Alchemy are related to the oppositions of the Square of Opposition of Aristotle in an orthogonal model. They form an arc of 90 degrees, which makes Alchemy the complex part (imaginary) of Logic.

In his work De Arte Combinatoria Leibniz developed a general theory of science that was based on a fusion between Alchemy and Logic.

The four Elements of Leibniz
The two Rotated Squares of Leibniz combine the square of logic of Aristotle with the square of Alchemy both based on oppositions of oppositions.

In this blog I will explain Alchemy and Logic and show that Alchemy and Geometric Logic share the same geometry, the Hexagon (the Seal of Solomon), which is a 2D-mapping of the Cube of Space of the Sefer Yetsirah.

Leibniz calculating machine
Drawing of Leibniz’s calculating machine, featured as a folding plate in Miscellanea Berolensia ad incrementum scientiarum (1710), the volume in which he first describes his invention.

About Alchemy

One of the most complicated ancient architectures is the architecture behind Alchemy. The architecture of Alchemy is full of strange concepts and allegories.

Alchemy comes from the Arabic al-khemia meaning the Black Soil of Egypt (or the ((Egyptian) Black Art). Alchemy is the art of transformation.

Alchemy is an ancient science that was practiced all over the world. The most famous teacher was called Hermes Trismegistus in Greece and Thoth in Egypt. The old science of Hermes came back in the Renaissance.

The essence of Alchemy is called REBIS (Res Bina), Double Matter. REBIS is the end product of the alchemical magnum opus or Great Work. It is the Fusion of Spirit and Matter (the Body). Spirit is the Creative Part of the Human.

Double matter is sometimes described as the divine hermaphrodite, a being of both male and female qualities as indicated by the two heads within a single body.

The Great Work is the chemical and personal quest to create Double Matter, the Philosopher’s Stone, Spirit in Matter.

The Stone is the agent of chemical transmutation, and the key ingredient in the creation of the elixir of life, said to heal all diseases, induce longevity and even immortality.

In current Physics  transmutation is proved at room temperature in a proces called Cold Fusion.

In Physics one explanation for the fusion between Quantum Mechanics and Gravity is called the Wheeler Feynman Absorber Theory. In this theory the Future causes the Past and vice-versa. We are always in the Now, the Middle between Past & Future.

The Future and the Past are created by the Intention of the Observer, we call Measurement.

The Philosopher Stone
The Philosopher Stone

The aim of the Great Work is a fusion with the One (the Blazing Star, Saturn, Point) that is divided in the Two (Sun & Moon, Male & Female, Line) and the Four Planets (Square), the 12 (4×4-4) Constellations or more structures based on a power of a power (of a power….)  of 2. The Great Work moves from 2**N, …., Sixteen to Four to Two to One (or from one to two to four) in a Spiraling Spiral Motion.

The One, to which the elements must be reduced, is a little circle in the center of the squared figure (the cross). The cross is the mediator, making peace between the opposition of the planets.

The First Matter is the primordial chaos comparable to what we now call the vacuum, the state of lowest energy. This state contains all possibilities.

It can be looked on as an unorganized state of energy  that is the same for all substances and exists in an invisible state between energy and matter.

The First Matter is the One, the Point in the Middle of the Circle. In current physics a point is called a singularity or a black hole.

Alchemy is about Recombination

Alchemy is about re-combination summarized in the Latin expression Solve (break down in separate elementset Coagula (coming back together (coagulating) in a new, higher form).

Solve and Coagula
Solvite Corpora et Coagulata Spiritus (“dissolve the body and coagulate the spirit”).

Earth (Body) becomes Water (Spirit) by dissolving it in some solvent. Water becomes Air (a moist vapor) by boiling, which further heating turns into Fire (a dry vapor).

Finally Fire becomes Earth by allowing the vapors to condense on a solid material (a stone).

The circulation may repeat if it is done in a reflux condenser, such as the Pelican or kerotakis.

The Pelican is the Symbol of the Heart Chakra the connector between the Upper- and the Lower Triangle of the Body.


According to the early alchemists, the four elements—fire, water, air, and earth—come into existence via the combination of specific qualities, recognized as hot, cold, wet, and dry, being impressed on to the Prime Matter. For example, when hot and dry are impressed on the Prime Matter, we have fire.

(Hot and Cold) and (Wet and Dry) are oppositions. Their fusion is the empty set.

(Hot or Cold) and (Wet or Dry) can be combined -> (Hot, Wet), (Hot, Dry), etc.

The Cold allows substances to get together. The Hot is the power of separation.

Wet things tend to be Flexible (Fluent, Movement, Self, Not-Agency) whereas Dry things are fixed and structured (Agency, Resistance, not-Movement).

When the qualities are changed, the elements themselves are changed. Adding Water to Fire substituting wet for dry; hot and dry becomes hot and wet: steam, or Air.

As you can see in de picture below Hot & Cold and Wet and Dry are Binary Opposites (“lines”) that are voided by the central cross, the point of the Empty Set, The Void (A and not-A -> Empty).

Hot & Dry = Fire, Hot & Wet = Air, Cold & Wet = Water and Cold & Dry = Earth.

There are four types of Trinities the Passion-trinity (Dry, Wet, Warm), the Structure-trinity (Dry, Wet, Cold), the Resistance-trinity  (Warm, Cold, Dry) and the Movement-trinity (Warm, Cold, Wet).

The Square rotates. The wheel of the Square is driven by the four qualities. Wet on the rising side, Hot on the top, Dry on the descending side, and Cold on the bottom.

The start is powerless (Cold). By becoming more flexible (Wet) success and power comes (Heat).  At the top Rigidity (Dry) undermines the system and it falls back to a powerless state.

The Four Triangles
The Four Elements arise out of the Quintessence, The Fifth Element, The Symbol of The Heart Chakra, the Seal of Solomon

The four Elements all share the Triangle of the Holy Trinity. Every Trinity is seen from another perspective.

The two triangels, The Up-triangel and the Down-Triangel, are Opposites that are created out of two triangels that contain two Opposites that are fused. Humans are opposites in opposition.

Humans are FourFold

Humans are part of the Bilateria,  animals with bilateral symmetry.

Humans can be described as a fusion of two mirrored bilateral triangles, the Up-triangel related to the Top of the Body (Mind) and the Bottom-triangel of the lower Body both connected by the Heart. The two triangels and the separate triangels have to be balanced.

The principle of Balancing the two Triangles of Top & Bottom of the Body is represented by the Egyptian Goddess Ma’at who weights the Heart (the connector of Up and Down) of the Dead with her Feather (Nothing).

As you can see the Square of the Cycle of the Four Elements is visible in the picture below. The total picture shows a Hexagram with a Center (The Cross).

The points that are missing in the Square are the top- and the bottom of the two triangels which are the Whole (Up, Heaven) and the not-Whole, Emptiness, the Bottom (Hell).

The Seal of Solomon
The Seal of Solomon

A hexagon is a 2D-projection of a Cube.

The hexagon of Solomon can be transformed into the Cube of Space of the Sefer Yetsirah.

Cube of Space
Cube of Space

The Cube of Space can be transformed into the Tree of Life. The Tree of Life also called the tree of knowledge or world tree  connects heaven and underworld and all forms of creation and is portrayed in various religions and philosophies all over the world.

pilgrim mecca hajj
The Kaaba is the Cube of Space related to Saturn the Point in the Center of all Rotations. The people simulate the Rings of Saturn, the Son of the Sun.

The Spiral of Alchemy is about the Chemical Transformation of the Body by the Conceptual Transformation of the Mind.

The Tree of Life shows the levels/scales (three) and possible paths of the Opus Magnum, the alchemical journey.

About Truths for a Fact and Truths for a Reason

People have always believed in the fundamental character of binary oppositions like Hot & Cold and Wet & Dry are used in Alchemy.

In this part we move to the Field of Logic. In this case Hot/Cold and Wet/Dry transform into Necessary /Not-Necessary and Possible/not-Possible.

Chemical Wedding (Union of Opposites)
Chemical Wedding (Marriage of Opposites)

Oppositions can be divided in:

  1. Digital oppositions, contradictories, contain mutually exclusive terms (Gender (Male/Female)).
  2. Analogue oppositions, antonyms  or contraries: contain terms that are ordered on the same dimension (Temperature (Minimum->Cold/maximum->Hot)).

The doctrine of the square of opposition originated with Aristotle in the fourth century BC and has occurred in logic texts ever since.

The logical square is the result of two questions: Can two things be false together? Can two things be true together?

This gives 4 possibilities: no-no: contradiction (A/O, E/I); no-yes: subcontrariety (I/O); yes-no: contrariety (A/E); yes-yes: subalternation (A/I, E/O) better known as implication (A->B).

The four corners of the square represent the four basic forms of propositions recognized in classical logic:

  1. A propositions, or universal affirmatives take the form: All S are P.
  2. E propositions, or universal negations take the form: No S are P.
  3. I propositions, or particular affirmatives take the form: Some S are P.
  4. O propositions, or particular negations take the form: Some S are not P.

The square of opposition was debated for many reasons for more than two thousand years.

One of the discussions is about the difference between possible and necessary. In the so called Master Argument Diodorus proved that the future is as certain and defined as the past. The essence of logic (necessaty) implies the non-existence of freedom (possibility). X is possible if and only if X is necessary.

The term ‘possible’, in Aristotle’s view, is ambiguous. It has two senses known as one-sided possibility and two-sided possibility (or contingency). Being two-sided possible means being neither impossible nor necessary, and being one-sided possible simply means being not impossible.

Leibniz distinguished between necessary Truths for a Reason, which are true for a reason—i.e, their opposite is a contradiction—and contingent truths, (Truth for a Fact) such as the fact that the president of France is François Hollande. A contingent truth cannot be proved logically or mathematically; it is accidental, or historical (based on facts (events)).

About Geometric Logic and n-dimensional “Squares” of Opposition 

Modal Logic is about the fusion of necessity and possibility, contingency.

Logical Hexagon
Logical Hexagon

In Modal Logic the propositions are modelled in a logical hexagon where:

  1. A is interpreted as necessity: the two propositions must be either simultaneously true or simultaneously false. A is a Proof or Law.
  2. E is interpreted as impossibility. E is an Observation that contradicts the Proof of A.
  3. I is interpreted as possibility:  the truth of the propositions depends on the system of logic being considered . I is an Idea implied by the Proof that Contradicts E.
  4. is interpreted as ‘not necessarily’. O contradicts A.
  5. U is interpreted as non-contingency: neither logically necessary nor logically impossible, its truth or falsity can be established only by sensory observation.
  6. is interpreted as contingency: propositions that are neither true under every possible valuation (i.e. tautologies) nor false under every possible valuation (i.e. contradictions). Their truth depends on the truth of the facts that are part of the proposition. Y is a possible proven theory.

The Logical Hexagon has the same geometry as the Seal of Solomon. It contains the Square of Opposition (A,E,I,O).

The Logical Hexagon can be transformed just like the Seal of Solomon to the Cube of Space now called The Cube of Opposition.

The Logical Hexagon is used in many fields of Sciences like Musical Theory or Scientific Discovery.

The Hexagon of Opposition based on Musical Theory
The Hexagon of Opposition is used in Musical Theory

Every opposite can be defined by a string of zero’s and one’s like 1010. An opposite is 0101. This means that there are 2**4/2 = 4×4/2= 16 / 2 = 8 possible opposites. This is called the Octagon of Opposites.

The Octagon contains six reachable and two unreachable points in the Center (0000, 1111), the Empty Set (the Void, the Hole, Contradiction) or its Opposite (The Whole, Tautology).

It is clear that it must be possible to create higher dimensional models based on n-based-logics.

When n becomes very big the geometry will tend to a n-Dim circle in which every point is in opposition to the point at the other side.

The big problem with n-based logics is language. We don’t have the names to articulate the many grades of opposition that are possible.

The other problem is that a negation is not a symmetric operation (A = not-not-A) but a rotation with an angle 360/n.

The n-opposite-geometries are highly related to Simple Non-Abelian Groups (SNAGs). They play an important role in biology.

The last step is to transform the static n-opposite geometries by making n very large (infinite) to a dynamic “opposition field”.

Related Models

In current Psychology Hot & Cold are called Communion and Moist & Dry, Agency. Together they create the so called Interpersonal Circumplex.

Interpersonal Circumplex

The four stages of Learning by Jean Piaget.

The mathematical model behind the theory of Piaget is called the Klein Four Group or Identity/Negation/Reciprocity/Correlation-model.

INRC-model of Piaget
INRC-model of Piaget

In the Science of Ecology (Panarchy) Agency & Communion are called Connectedness and Potential. The Panarchy model looks like a Mobius Ring.

A model that describes the Four Perspectives on Security:


The Semiotic Square of Greimas:

Semiotic Square
Semiotic Square

The Chinese Sheng-Cycle: The Chinese Five Element Model is comparable to the Western Four Element model. It contains as a Fifth Element, the Whole-Part-relationship (Earth, Observer State). Emptiness (Nothing, the Tao) is represented by the recursive Pentangle inside.

Tetralemma (Ancient Indian Logic)
Tetralemma (Ancient Indian Logic)

The lesson

When thou hast made the quadrangle round, then is all the secret found“.

When You have moved once through the Cycle you have seen Everything there is to See. The only way to move out of the Cycle is to jump into the wHole in the Middle.

The secret: It is impossible to move though the center because the paths that go through the center are a contradiction or a tautology (I am what I am, JHWH).

We have to move with the Cycle (making the rectangle round (a circle)), around the Singularity (the Hole of the Whole), going Up and going Down all the time.

The only way to solve this problem is to join the opposites by accepting only one thruth-value, by:

  1. Accepting everything (Wu Wei),
  2. Denying everything (Stoics) or
  3. Diminishing the amount of dimensions (“becoming Simple”, “like Children”) by moving up in abstraction (Hot & Cold -> Temperature -> Everything is Energy) to the level of zero dimensions, a point, becoming One with the First Matter (Tao, Vacuum, The Kingdom).

“If we then become children, would we thus enter the kingdom?” Jesus said unto them, “When ye make the two one, and when you make the inside like unto the outside and the outside like unto the inside, and that which is above like unto that which is below, and when ye make the male and the female one and the same, so that the male no longer be male nor the female female; then will ye enter into the kingdom.” (Gospel of Thomas, Logion 22).


About the Geometry of Negation

About the Logic of Music

About Wu Wei

About Modal Logic

About the Cube of Opposition

About Logical Geometry

About the Square of Religion

Semiotics for Beginners

About Holonomic Alchemy

About Paths of Change

About the Sheng Cycle

How to use the Square of Opposition as a Research Tool

About the Cube of Space of  Sefer Yetzirah

About Truth of Reason and Truth of Fact

Why Humans are Toolmakers

About Chemical Transformation (Cold Fusion)

About the Ars Generalis Ultima of Ramon Lull (1305)

About the Six Domains of  the Polynomic System of Value

About the Logic of Creation

About Leibniz Calculating Machine

About Zero Dimension 

Why Innovation is Re-Combination

How to Balance the Seal of Solomon

About Interpersonal Theory 

About Panarchy

About the Hexagon of Opposition

About n-based logics

About Flow-Systems

Anti-Fragility and the Square of Opposites

An Introduction to Hexagonal Geometry


About Perspective


When we Look with our Eyes and not with our Mind we can See that Space looks very different from what we Think it is. In Our Space Parallel Lines meet at Infinity.

Around 1400 during the Renaissance Painters started to look at Space with their own Eyes and discovered the Rules of Perspective Drawing.

Between 1600-1800 Perspective Theory changed from a Theory of Art to a Theory of Mathematics called Projective Geometry.

It took 400 Years before a few Mathematicians realized that Projective Geometry was the Foundation of Mathematics and it took another 100 years before Projective Geometry started to influence Physics.

In 1908 Hermann Minkowski discovered that Einstein’s Theory of Special Relativity could be analysed using Projective Geometry. Minkowski created a 4D Space-Time Metric Geometry in which he added one Time Dimension.

Many experiments now show that 4D-Space-Time  is not sufficient to incorporate what Time Really is.

The essence of Our Universe is Movement, Expanding Space,  and Movement = Space/Time (Space Divided By Time).

Both Time and Space are 3-Dimensional and represent a Different,  Reciprocal, Complementary (Dual), View on Movement.

We can move independently in Time OR Space and in Time AND Space (The Chronotope).

The Future is Expanding Space with Infinite Potential.

Time moves behind Space and Scales Space.

About Perspective Drawing

A Mathematical Theory of Perspective Drawing could only be developed when the Renaissance freed painters to depict Nature in a way closer to what they Observed.

In the Middle Ages Social Status was very important. Important People or Buildings were always emphasized.

In the Renaissance the Artists started to look with their own Eyes and Created Pictures where the Viewer looked through the Eyes of the Painter.

The Florentine architect Filippo Brunelleschi (1337-1446) studied Greek Geometry, developed a theory of perspective and undertook painting just to apply his geometry.

The first treatise, Della pittura (1435) by Leone Battista Alberti (1404-72) furnished most of the rules.

Alberti regarded mathematics as the common ground of Art and the Sciences. “To make clear my exposition in writing this brief commentary on painting,” Alberti began his treatise Della pittura, “I will take first from the mathematicians those things which my subject is concerned”.

Alberti stressed that “all steps of learning should be sought from nature“. The ultimate aim of an artist is to imitate nature.

Perspective Machine designed by Albrecht Durer

Alberti did not mean that artists should imitate nature objectively, as it is, but the artist should be especially attentive to beauty, “for in painting beauty is as pleasing as it is necessary“.

The work of art is according to Alberti so constructed that it is impossible to take anything away from it or add anything to it, without impairing the beauty of the whole.

Beauty was for Alberti “the harmony of all parts in relation to one another,” and subsequently “this concord is realized in a particular number, proportion, and arrangement demanded by harmony“.

Alberti’s thoughts on harmony were not new – they could be traced back to Pythagoras – but he set them in a fresh context, which well fit in with the contemporary Aesthetic Discourse.

IMAGE: Leonardo's perspectograph
The Perspectograph of Leonardo Da Vinci

One of the earliest Artists to produce a book on how to draw in perspective was Albrecht Dürer. As well as discussing geometric methods, he also illustrated his book with a set of woodcuts showing practical tools for accurate perspective drawing. Other Artists like Leonardo Da Vinci developed comparable tools.

About Projective Geometry

Projective Geometry formalizes one of the Central Principles of Perspective Drawing and of Human Perception: Parallel Lines Meet at Infinity.

In Euclidean geometry, constructions are made with Ruler (Line) and Compass (Circle). Projective Geometry only require a Ruler.

In Projective Geometry one Never Measures Any Thing, instead, one Relates one Set of Points to another by a Line.

Two projections of the same object.
Different Points of View

Alberti was the first to ask what two pictures have in common if two drawing screens are interposed between the viewer and the object, and the object is projected onto both resulting in two different pictures of the same scene.

The basic idea behind Linear Perspective is simple: in every painting an artist creates a “floor” or area of the painting where the figures and/or objects will be placed. The floor ends at a horizon line, and the horizon line has a Vanishing Point or Point of Convergence on it.

The artist then draws parallel lines radiating from the vanishing point outward. Images closest to the vanishing point should appear smaller and closer together, and images farthest from the vanishing point should appear larger and farther apart, giving the impression of depth and space in the painting.

Pappus of Alexandria ( 290 – 350), one of the last great Greek mathematicians of Antiquity, proved that that given one set of points A, B, C on a line, and another set of points a, b, c on another line, then the intersection points X, Y, Z of line pairs Ab and aB, Ac and aC, Bc and bC are also on a Line. This line originates at the Vanishing Point.

Pappus’ Theorem

Later Desargues (1591-1661) proved Pappus Theorem for Triangels. He proved that the three vertices of one triangle a, b, and c, and those of the other A, B, and C meet in a third point, and that these three points all lie on a common line called the Axis of Perspectivity.

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.

About the Four Points of the Cross-Ratio

Finally 400 years later in 1803 Lazare Carnot found the answer to the Question of Leone Battista Alberti.

In his book “Géométrie de Position” he proved that the so called “Cross-Ratio” is always preserved in a Projection with One Point of View.

The Cross-Ratio

The Cross-Ratio is the Ratio of the Ratio of the Four Points A,B,C,D lying on a Line that intersects the Four Lines defined by a,b,c,d that orginate at the Vanishing Point O.  Carnot  proved that (AB)(CD)/(AC)(BD) = (A′B′)(C′D′)/(A′C′)(B′D′).

The Cross Ratio is not only the Cross-Ratio of the Four Points A,B,C,D. It is also the Cross-Ratio of the Four Lines  and the Three Angles that originate out of the Vanishing Point. In this case (AB)(CD)/(AC)(BD)=Sin(AB) x Sin(CD)/Sin (AC) x Sin (BD).

This principle is called Duality. In 2D-Projective Geometry Connected Points and Lines, called an Incidence, are interchangeable.

There is a corresponding Duality in three-dimensional Projective Geometry between Points and Planes. Here, the line is its own Duality, because it is determined by either two points or two planes.

The Cross-Ratio k is dependent on the Order of the Four Points. It converges to 0 and infinity when k=1 and to -1/2 and 2 when k= -1.

Two examples: 2D: Two distinct Points determine a unique Line and two distinct Lines determine a unique Point. 3-D:  Three distinct Points not all on the same Line determine a unique Plane and three distinct Planes not all containing the same Line determine (meet in) a unique Point.

The 24 Permutations of A,B,C and D produce 6 possible values of the Cross-Ratio, depending on the order in which the points are given. If k = 1, the other Cross-Ratio’s are 0 and infinity. This happens when point A = point D. In this case the Geometric Entity is an Equilateral Triangle.

If k = -1, the other Cross-Ratio’s are -1/2 and 2. This is called a Harmonic Cross-Ratio. This happens when the Internal Ratio of AC determinated by B is Equal to the External Ratio of AC determinated by D. When k=-1/2 and 2 the Geometric Entity is a Square.

If the Four Points of the Cross-Ratio are on a Line or a Circle, then the Cross Ratio is a Real Number, otherwise the Cross-Ratio is a Complex Number.

Ruler (Space) and Compass (Time): The Tools of the Geometer

About the Four Layers of Geometry and the Four Points of the Cross-Ratio

In 1872 Felix Klein, published a new Mathematical Research Program called the Erlangen Program under the title Vergleichende Betrachtungen über neuere geometrische Forschungen.

In this program Projective Geometry was emphasized as the Unifying Frame for all other Geometries.

Although lines in the Projective Plane meet in one point of Infinity Klein argued that there could be two points of Infinity if the Projective Plane was a Surface Closed in Itself.

When we look at the Origin of Projective Geometry, the Artist painting A Sphere, Earth, on a Flat Surface, it is not difficult to realize that this Closed Surface is a Sphere.


Geometry is now divided into Four  Layers. Each Layer adds a set of Assumptions that creates certain Invariants for that Layer.

An invariant is a property of a configuration of Geometric Entities that is not altered by any transformation belonging to the specific layer.

A transformation is an operation applied to a Geometric Entity. The most common transformations are Translation, Rotation and their Combinations (Reflection).

What we will see is that the Four Points of the Cross-Ratio are highly related to the Four Layers. In Every Higher Layer One Point of the Cross-Ratio is moved to the Internal Landscape, the Mind, of the Observer. This principle is called “As Within so Without“.

The First and most fundamental Layer is the Layer of Projective Geometry. This is the Layer of Human Perception and is invariant under the Cross-Ratio also called a Moebius Transformation.

The Second Layer is called Affine Geometry. In this layer Parallel Lines are preserved and the Assumption of a Plane at Infinity, the Horizon,  is created.  This Plane generates Parallel and Orthogonal Relationships between Geometric Entities by placing One of the Four Points of the Cross-Ratio in the Plane at Infinity.

Affine Geometry is Euclidean Geometry with congruence (something is the same when Shape and Size are the Same) and a metric (a definition of a Distance) left out. An affine transformation preserves straight lines and ratios of distances between points lying on a straight line.

This the layer of  the Emotions, “the harmony of all parts in affinity to one another” of  Leone Batista Alberti.  In Affine Geometry the Frame of Reference of the Painter, the Floor,  is created. On this Floor,  the Horizon, the Plane at Infinity is drawn.  From the Point of View of the Observer, it is not possible  to Judge Distance or the-Sameness because a given Visual Object may be Large and Far away or Small and Close.

In Eucludian Geometry A Ruler contains a Fixed Scale

The Third Layer, Metric Geometry, adds the concept of Distance (Metric, Scale) to the Affine Layer. A Distance is a relation between Two Points of the Cross-Ratio. This is the Layer of the Painter, Creator, Observer, who creates his own Distance to the Distances he is Painting in the External Frame he is looking at.

Since Projective Space is the Space of Actual Perception, the true function of Metric Space is the Coordination of Various Perspectives. This is illustrated in Perspective Drawing, in which there are always Two Perspectives being Coordinated—the Vanishing Point and a Point just behind the Eyes of the Observer.  Each of these is an instance of the One Point at Infinity.

The last, Fourth,  Layer is the layer of Euclidian Geometry. In Euclidean Geometry Distance is Fixed (not Relative) and Scaled to a Unity (Meters). This leaves us with just One Point of the Cross-Ratio, the Unity, the One.

Between  1926 and  his death in 1983 Alfred Tarski worked on the Axiomatization of Euclidean Geometry. In Tarski’s system there is only one type of Object: the One, The Point.

There are just two Geometrical notions between Points: the Ternary Relation of “in-Betweenness” and the Quaternary Relation of “Equidistance” or Congruence.  Betweenness captures the Affine aspect of Euclidean Geometry; Equidistance/Congruence, its Metric aspect.

This is the Layer of the Human Expectation who has not Distanced Itself and is Looking Outside Through a Small Hole at the Future. The Expectation considers the Future as an Extension of the Past (Memory).

In Euclidian Geometry we have to Move Outside to the Objects to Measure their Distance and the Sameness with a Pre-Defined Unity.

If we don’t move to the Object we will measure an Illusion.

About Space measured by Time and Space measured by Space

The Ancient Sumerians  knew that the Length of one side of a Hexagon is the same length as is the Radius of the Circle that circumscribes this Hexagon (See Pascals Theorem).

They also knew that the Stars of the Constellations of the Zodiac shift Counterclockwise, at the rate of 72 years/degree, because of the Precession of the Earth’s axis. One Wobble takes 25.920 years.

The length of one side of the Earth Hexagon is therefore the Distance traveled by the Constellations of the Zodiac along the horizon during 25.920/6=4,320 years.

They then subdivided this distance by 7,200  which produced the Royal Mile that was subdivided into 1,760 Royal Cubits.

Before 3.117 BC the complete Earth was covered with a uniform Geodesic System that was based on the Rotation and Precession of the Constellations of the Zodiac. This System was implemented in the Megaliths.

At that Time Space was measured by Time.

The Physical System of the Megaliths was destroyed by the Great Flood of 3.117 BC but the Metric System survived thousands of years until the French Revolution.

On the 8th of May, 1790, Charles Maurice de Talleyrand at the end of the French Revolution, proposed before the National Assembly in Paris a Change to a Decimal Measurement System.

The Academy of Science recommended that the new definition for a Meter be equal to 1/10,000,000 of the distance between the North Pole and the Equator, and this was accepted by the National Assembly in 1791.

From that Time on Space was measured by Space.

Why the Future contains Infinite Possibilities

A Painter or a Human always looks Forwards in Space. If there are Parallel Lines visible they all Converge to a Vanishing Point at The  Horizon. The Horizon is a Parallel Line at Infinity.

We all know that the Parallel Line of the Horizon is caused by the fact that the Earth is a Moving Sphere. This Moving Sphere moves around other Spheres that move around other Spheres.

The Rotation of the Spheres in Space is used as a Clock. Every time when the Cycle of the Spheres repeats itself we add one unit to a standard Time-Measure. One Sun Cycle is named a Year. One Cycle of the Precession takes 25,920 Years.

We Measure our Time by the Cyclic Movement of Objects in Space. The Cyclic Movements caused by the Rotations of Objects around Objects (around Objects) is really a Rotating Rotating Rotation, a Spiraling Spiral.

We don’t live in the Sphere but we live and Move on the Surface of a  Moving Sphere. That is why our Geometry is an Elliptic Geometry (or Projective Geometry).

Euclides and Pythagoras were aware of Projective Geometry (See also Pappus) but the Scientists of the Enlightenmentstarted to interpret their Theory with a Different Eye. They saw Numbers in a completely different way the Greek did.

The Scientist disconnected Number from Magnitude (Form) and created an Abstract Static Number Theory and an Abstract  Static Theory of Physics. The Movement of our Universe, the Ether, came to a stilstand.

The Theory of Perspective Drawing, based on our Real Perception of Reality, is the same theory that generated Projective Geometry. We are now back to Normal again.

In the blog about Geometric Algebra I wrote about a very Independent Thinker called Dewey B. Larson.

He reinvented Physics and Projective Geometry in his own way, Calculated all the well known Physical Constants and based his Theory on a simple well know Assumption that Space and Time are Reciprocal (A Ratio of Ratio’s , the Cross-Ratio) because Velocity= dS(pace)/dT(ime).

Moving Movement is the Essence of our Reality.

What Larson calls “Motion” is the Ether Wind (or the Higgs Field) the Velocity which was measured in the North-South (Z) direction at 208 km/s in 1933 by Dayton C. Miller.

Einstein believed the results of the Michelson-Morley Experiments in 1887 that “proved” that the Moving Ether was non-existent. Now we know that the experiments were wrong.  Einstein also did not believe that Space was Expanding. At this moment the Expanding Universe is confirmed by many observations.

When Space Expands,  Time Compresses and fills up the Space to Keep Balance. Time Scales Space.

Space moves to Infinity. Time Moves to the Inverse of Infinity, Zero. Space is measured by the Linear Visible Scalar Number-System. Time is Measured with the Rotational Invisible Imaginary Number System.

Expanding Space is Linear Motion. Time is the Spiraling Motion of the Vortex.

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.


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”.


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.


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.


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

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!


About the Calvinistic Work Ethic

About Vocation

About the Industrial Revolution

About the History of IG Farben

Catching the Light: About Steiner, Goethe and The Placebo Effect

When I was working at ABN-bank I was doing a project to reorganize the Archives of the bank. One of my colleagues was heavily inspired by the work of Rudolph Steiner. He was very busy to create a new type of bank based on his ideas (now The Triodos-Bank). 


At the same time I met people that were practicing his ideas in the process of automation and organizational change processes. I loved what they were doing so I started to read his Books. 


Steiner came back in my life when I wanted to know more about Colors. I bought the Color Theory of Goethe and I found out that Goethe was the person that inspired Steiner the most. 


Goethe and Steiner became a force of Inspiration for Me and my Wife. She started to do Art-courses and I saw that she loved it. She even considered to become an Art-Therapist. We visited the Goetheaneum in Dornach (Zwitserland). We found an Antroposophic general practitioner. She uses Homeopathic medicine. I practiced Eurhythmics and lately I got a treatment to strengthen my “boundaries” where they use the Essential Oil of Flowers.


Arthur Zajonc is a well known Professor of Physics. He is also inspired by Rudolph Steiner and Goethe. Many people think the ideas of Steiner are weird and non-scientific but as you see even a professor of Physics knows that what he is saying to the world is of tremendous value. 


Arthur Zajonc wrote a beautifull book called “Catching The Light”. The book tries to explain Light.  It uses two perspectives. The perspective of Physics and the perspective of Steiner.


Zajonc shows that Science and Spirituality are basically telling the same story. Mind, Spirit and Soul are seeing the same thing but use different words to describe the same phenomenon.


 The most interesting part of the book is about the Imagination. Experiments show that we don’t see with our eyes. We see the world through our Imagination. 


Experiments in Physics show also that our Imagination (Our Creative Power) is controlling the Material world. Matter (Photons) is doing what the Imagination wants them it to do. We Get what we See.


Many people don’t understand the impact of this. They Think we are controlled by an outside Force (Fate) and they don’t realize that everything they are encountering in Life is created by Themselves. They don’t want to see that the Outside World is reflecting their personal creative process. If things go wrong they don’t realize that they want them to go wrong.


How can we make things go right? It’s simple. Imagine they are going right. Think positive.

Do you know why Medicine is working? 

Because we Believe its Working. 

I Love the Placebo effect!