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).

Zonnevlam

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.

Interesse? druk hier

Toeval

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.

Verbeelding

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”: https://www.templefolks.com/temple-pedia/lalita-devi-temple.html

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.

Vrijmetselarij

Egypte

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

Luria

Alchemie

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.

Cosmologie

Overslaan samenvatting druk hier

Samenvatting

Patroon

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.

Niets

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.

Bewustzijn

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

Alchemie

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

terug naar begin druk hier.

Cosmologie

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

Conclusie

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.

OBE

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).

M.bv. 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”.

ANPA

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.

Synchronisatie

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.

Tijdlijn

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.

The Chemical Origin of Semantic Intelligence

Want to Start with a Summary? Push here.

or go to the Conclusion push here.

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?

Mass = Light.

In this very difficult talk you will see that all the different theories in Physics and all the different Forces are really the same and related to different Ways to see the same Universe

~Te essence is Duality fused into Nothing.

Martin died a few years ago. Below the comment on this talk many years later by his fellow scientists.

and a summary of all this a few years ago.

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

Picture
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.

bacterium
Bacterium
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

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.

Organisms

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).
1192px-Zodiac_(PSF).png
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.

Summary

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:

Back to the beginning.

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:

CYC

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.

Chemistry

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

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.

Charge
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.

Back to the Beginning

push here.

The Strange Theory of Everything of Buckhart Heim

When I tried to find more information about Anti-Gravity I found the Theory of Burkhard Heim.

I discovered how we can travel faster than the Speed of light, how we can make Matter out of Light, and the relationship with the Theory of Peter Rowlands.

Peter proved that the Universe is a Turing Machine with a Nilpotent constraint (It sums to zero).

To understand the almost Incomprehensible theory of Heim I had to Find, Watch and Read a lot of links like this one.

At the end it all comes back to the combination of Quantum Mechanics and Gravity now called Causal Dynamical Triangulation, that constructs spacetime from triangularlike building blocks by gluing their time-like edges in the same direction.

You have to wait until the last chapter to understand or watch the video below to get a preview.

The interesting part is that Reginald Cahill found the same triangular pattern a long time ago when he analyzed the experiments of Morrison and Morley in 1880 and other experiments designed to measure the speed of the Aether.

Reginald found a fatal mistake. This Mistake caused a major turn in Physics .

After >240 years of adding complexity, the mistake is almost corrected by returning to the old ToE of James Clerk Maxwell in 1840.

Another mistake that has to be corrected is the interaction between the Space Weather caused by Gravity Waves and our Earth Weather.

The GravityWaves affect the Upper Layers of Our Earth but also the Sun and the Planets.

They are the cause of Sun Flares, Earth Quakes, and sudden changes in the Ferrel Cell connecting the Warm and Cold circulation.

Introduction

This blog is a continuation of my blog about the comeback of the Aether now called the Vacuum or Zero-Point Field.

The Standard Model of particles can be described by only one number the number 1 and many types of Symmetries like the Mirror symmetry that transforms 1 into -1 and the Rotation by a certain angle where 90 degrees transform -1 into I (imaginary number) being the Square root of -1 where a Square Root is a mirror (inverse) of a multiplication of the same numbers.

The Standard Model generates all the numbers we can measure with our big expensive devices (CERN) but it does not explain Gravity.

Gravity is explained by the Relativity Theory of Albert Einstein that describes it as a Distortion of space.

We have no idea what space is about. The only model is the Aether being an effect of many small interfering Gyroscopes that come out of the TOE of Maxwell, I wrote about in my last blog.

According to Heim, the gyroscopes are about h**3 in Volume being the smallest possible volume in space until it turns into a singularity and a Black Hole.

Particles

They can be divided into two types of Particles called Bosons and Fermions.

Bosons are part of a BEC (Bose-Einstein Condensate) which is a name for the Vacuum which is a wall between the two Universes we live in.

To understand this wall you have to look at the previous blog or the video of Peter Rowlands.

The spin (rotation) of particles is divided in two classes Bosons are named after Satyendra Nath Bose, the inventor of the BEC, the Bose-Einstein Condensate, a state of the Vacuum (Aether) at 0 degrees Kelvin in which particles are the same (Symmetric).

In this state, a special type of statistics is used in which combinations C of particles are repeating structures CCC,… Outside this state, Fermi Dirac statistics is used in which all combinations are different A, B. C, D,.. -> ABCD,ACDB,BDAC,… etc.
The gyroscope of Heim.
The Theory of Burkhard Heim. A Masterpiece of a Theory of Everything that was forgotten because he never wanted to publish in journals and left a pack of paper in German without much explanation until Scientists discovered that he made a real theory (that Unites Quantum Mechanics and General Relativity and even shows the Role of God.
The Theory of Peter Rowlands and his group of the University of Liverpool is the same theory as Heim’s but uses (as usual) other terms. You can find more in this blog about the Aether which is a permeable Wall between two Dual universes and this blog about Geometry .
Quaternions Multivariate Vectors
THis is the model of Peter Rowlands that is based on the Octonions being an Abstraction of the Quaternions being an abstraction of Imaginary Numbers being an Abstraction of Numbers. All of the Abstractions are created by defining an axis perpendicular to the number axis that is symmetric around zero (0) and moves to Infinitywhere Infinity is place we cannot reach.

The Geometry of Change

This part contains 2 pictures out of a blog I made to explore the relation between Geometry and Paths of Change (POC) using the link between POC, the Relational Theory of Alan Fiske and its mapping to Geometry. It shows an interesting Cycle.

A combination of five geometries that map on Paths of Change of Will McWhinney and the Social Relations theory of Alan Page Fiske. In this picture, you can see that we Measure (compare with a unity) in Euclidian Space, Connect in Projective Space, make a difference in Similarity Space, and are Ordered in Affine Space. In the middle of the middle, we are Equal.

Red (Euclidian) is the world of Kinetic Energy (Movement) called a Fermion in Particle Physics and Green the World of Potential is called a Boson which is massless and connected (commune) with the Observer (Yellow) who collapses the Wavefunction (Makes it Happen).

The Chinese Sheng Cycle is mapped on Paths of Change. The big difference between the picture above is that the Center of the Cross (white. above red) is part of another cycle and other terms are used. Observe that the cycle is Fractal.

Photons are the Messengers Connecting the Potentials in Our part of The Universe

Electrons are Photons that are powerful spiraling Gyroscopes.

All types of particles have an anti-matter partner with the exact same mass but opposite charge.

The basic building blocks of our universe are Electrons (-) and Anti-Electrons.

They are both made out of Photons.
The big Question is: Where are the anti-photons and what happens when they merge?

When matter meets anti-matter, they destroy each other and create two photons with energy E = m c2.
If a photon has energy higher than this Threshold, it can create an Electron and a Proton.

A new linear theory of light and matter
Representation of a Moving Rotating Photon. The Electric field direction
is represented using green arrowheads, the Magnetic field blue, and the Movement (speed/direction) is red.

What are Photons?
Dr. Vivian Robinson: The Behavior Of Electrons In Atoms The electron is circulating the Protons in the kernel with the Speed of Light and exchanges Photons to correct its course.

Reading Guide

This blog is in Development.

This means that I will sometimes change the Title or the Content of Chapters.

Currently, I am expanding chapter 4 about anti-gravity. It already contains a lot of links you can explore.

I am particularly interested in the Theory of Burkhard Heim that has a lot in common with the theory of Peter Rowlands about the Octonions.

-1. Photons, the Basic Building Blocks of the Universe

0. Reading Guide

1. Introduction: This blog is an extension of my blog about the new theories of the Aether.

2. Imagination: The famous physicist Wolfgang Pauli asked Carl Jung to help him to explain his Dreams. One of his dreams is about the World Clock carried by a Raven. The clock looks like a Quaternion. The Raven is a symbol of the Trickster the oldest version of God. The Clock is controlled by the Four Archangels of The Zodiac.

3. The Quicycle Society is an organization of scientists dedicated to explaining physics using observed properties. They make use of the Helicon or toroidal ring. (Anti-_Electrons and (Anti-)Protons move around a small Merry Go_Round.

4. Anti-gravity is a consequence of the new Aether Theory of James Clerk Maxwell in 1865.

This theory was reinvented by Burkhard Heim (1925-2001) when he was young. According to the theory of Heim, it is possible to change the Inertial Mass of an object creating Anti-Gravity. Heim became a top scientist of the Nazis when he was very young. He almost designed an Atom Bomb but was stopped by Schrodinger.

5 The future of Space Travel

6. Neutrino’s

7. How to Make Matter on demand

8. Number Systems

The theory of Everything is dependent on the types of numbers we use. Currently, many Scientists are interested in Octonions.

1 Introduction

This blog is the next step in a long chain of blogs about new developments in Science and Technology.

The last blog was about the Revival of the Aether and the Theory of James Clerk Maxwell that he based on the experiments of Faraday and the invention of a new type of Number called the Quaternion in 1841 by William Rowan Hamilton.

The consequences of the theory of Maxwell in 1865 caused a Paradigm Shift that was stopped by the Measurement of the Speed of Light that was defined as a constant by Albert Einstein to solve the absence of a universal Frame of Reference that was grounded on the idea that we Observe with our Eyes.

Recently the Measurements proved to be wrong and the ancient Aether came back and proved to be a Wall between two Mirror Universes.

This revival opened the door for exploring Free Energy, Anti Gravity, and a Mirror-universe that could be the place where our Soul exists.

In 1979, t John Wheeler, wrote an exploratory paper, Beyond the Black Hole, in which he describes the universe as a self-observing system.

2 The Power of The Imagination

Wolfgang Pauli (1900-1958) was one of the creators of Quantum Theory. He was the inventor of the Pauli principle.

Wolfgang got into contact with Carl Jung, a famous Psychologist who was highly interested in Alchemy.

Pauli asked Jung to help him to explain his dreams. One of his dreams was about the World Clock.

When you look closely at the picture below you will see that it resembles the model of the Quaternion.

In African and American myths Raven is the Trickster, a Shape-shifting Transformative Power that is constantly active to seduce humans to step out of their patterns.

The Raven is the Cosmic Messenger representing a part of the Universe that was not described until Buckhard Heim developed a new theory (see chapter 4 about Anti-Gravity). The messenger is the Dark side of the photon of Light, the Graviphoton.

Figure 6: The mandala of the physical forces according to EHT shows the four fundamental interactions, where the six gravitational bosons (three for the cosmological gravitational fields resulting from Einstein’s theory of general relativity, and the other three representing the postulated hypercomplex gravitational fields) are depicted in the upper half of the picture.
The Model of Backhard Heim of the four fundamental interactions. Three for the cosmological gravitational fields resulting from Einstein’s theory of general relativity, and the other three representing the postulated Hypercomplex gravitational fields.

I hope you recognize the four humans. They are the four Archangels that control the Zodiac related to the four Archetypes of Jung or the four Worldviews of Paths of Change.

Above: The Dream of the World Clock looks like the vision of Ezechiel.

In this vision he sees the Four symbols used in the ancient Medicine Wheel that represent the four Worldviews.

The bible contains many Astrological concepts.

One of the four living creatures with four faces.

 

3 On The Nature of electrons

Quaternions represent Rotations in 4D space we see as Spirals.

When I searched the internet to a group of scientists that worked together with Peter Rowlands I found a group that called themselves the Quicycle Society: The Quicycle Society is an organization dedicated to presenting the science of the universe founded upon three space dimensions and time, using only observed properties, Space, Time, Matter, and known physical principles.

An explanation of the Dancing universe.
The development of the helicon or toroidal ring began with André-Marie Ampère, who in 1823 proposed tiny magnetic “loops of charge” to explain the attractive force between current elements.[1] In that same era Carl Friedrich Gauss and Michael Faraday also uncovered foundational laws of classical electrodynamics, later collected by James Maxwell as Maxwell’s equations.

4 Anti Gravity

Burkhard Heim was a blind and deaf German Physicist that found a different solution for the problem of Albert Einstein to define an Observer independent reference frame.

Amount of Metrons through Time
. At the very beginning, there is a single metron only, covering the primeval universe, assumed to be spherical. From the moment time arose, the volume of the universe increased as the number of metrons increased. At the same time, the size of the metrons decreases, and the metron’s size has now reached the Planck length squared (10-70m2). This picture is taken from this website.
Kent Palmer has been looking for a new foundation of system engineering and it looks that he is approaching the complexity layer Burkhard Heum has passed.
The Theory of Heim is based om abstracting abstractions that are named by the “levels” we expirience in our Reality.

Heim uses the same method Peter Rowlands uses with the very big difference that Peter does not work alone but with a big group of specialists from many siences that are able to generate the deeper levels of our rotating rotating (etc…) Universe.
Figure 9: In extended Heim theory, the concept of internal space 𝖧8$\mathsf{H^{8}}$, which gives rise to the set of 15 hermetry forms, ultimately leads to two types of matter, i.e. ordinary matter (OM) (inner cube) and nonordinary matter (NOM), including dark matter (DM) (outer cube) as depicted in this figure. Each cube represents eight hermetry forms [107], [108].
There are two types of matter, i.e. ordinary matter (OM) (inner cube) and nonordinary matter (NOM), including dark matter (DM) (outer cube) as depicted in this figure.

4. Particles are not a Point they are Explained by Number Systems

John Baez , a brilliant mathematician, and physicist discusses the roots of the problems of current Physics. The big problem lies in the fact that particles are point sources a problem Heim solves by using a minimum length called the Planck Lenght.

5 The Future of space Travel

6 Number Spirals

John Baez talks about the history of Numbers ending with the Octonions.
About Prime Spirals.

7 Neutrino’s

8 How to Make Matter out of Light

Solid Light.

9. Networks

9 Networks and Category Theory

If Burkhard Heim would have known Category Theory he would have been helped a lot to explain what he was seeing.

If John Baez would know about Heim’s they will be helped a lot too.

Category theory tries to fuse mathematical theories by defining them as functions (“functors”) that map certain inputs to an output.

Currently, John is trying to fuse many technological domains doing the same thing Kent Palmer has been doing by analyzing meta-meta-meta-systems.

I have been doing the same thing because I was responsible for designing meta-meta-models for IT in ABN AMRO.

Currently, I am designing meta-meta-configurators.

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.

Piaget
INRC-model of Piaget
INRC-model of Piaget

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

A model that describes the Four Perspectives on Security:

Quaternity

The Semiotic Square of Greimas:

Semiotic Square
Semiotic Square

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

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

The lesson

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

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

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

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

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

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

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

LINKS

About the 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 the Next Steps of the Future Center Smart Systems and the Leiden Center of Data Science

At 28-4-2014 the Future Center Smart Systems (FCSS) was launched At the same moment the Leiden Center of Data Science (LCDS) was announced. This is not a coincidence.

FCSS and LCDS are two parts of the same coin. LCDS is focused on the Science of Data and FCSS is focused on using the results of the Science of Data to build Smart Systems or to give the Science of Data interesting problems to solve. FCSS is Practice and LCDS is theory.

When we look at Wikipedia we see that the Data Sciences are defined as “The study of the generalizable extraction of knowledge from data”. Knowledge shows itself in this case as Models, Patterns and Laws (Rules).

The Data Sciences detect patterns based on facts and are an abstraction of the Scientific Process itself.  The Data Sciences are therefore also called E-Science. 

E-Science is a combination of:  Signal processing, Mathematics, Probability models, Machine learning, Statistical learning, Computer programming, Data engineering, Pattern recognition and learning, Visualization, Uncertainty modeling, Data warehousing, and High performance computing.

Because E-Science is an abstraction of Science it can be applied to every science you can think of. In the case of the LCDS the current sciences that are involved are Physics, Astronomy, Bio-Science (Leiden Bioscience Park), Life-Sciences (Dutch Techcenter for Life Sciences, DTL), Medical Sciences (LUMC), Law (Leiden Law School), Aviation (NLR), Mathematics and Informatics (LIACS).

The FCSS is not only about E-Science it is also about using the patterns that are discovered to control processes and influence humans. In this case we are interested in the developments in Value, Case & Process-managers,  Domain Models and Sensor-Technology. Theory is static and practice is dynamic. Theory becomes practice by doing.

In the long view we expect that the combination of Senses & Actions & Thinking Machines will lead to Autonomous Systems that will help and support Humans. These systems are sometimes called Robots because we believe Autonomous Systems look like us but an autonomous system like our Universe does not have to move itself.

The next step of the Future Center is to connect with practice, start with technology transfer and find out what the need is of the market.

The Future Center is already involved in some projects and we wants to start some more. If you are interested to participate in one of the projects or want to start a new projects send an email to hans.konstapel@gmail.com.

  • Smart System Architectures
Smart Systems need Smart System Architectures. They are a combination of existing architectures based on Process-Models & Sensor-Systems (the Sensory-Motor System) and new architecture that are related to Visualization (the Imagination), Analytics (Data, Process, Text, Software-mining (Thinking)) and Social Networks. (Emotions). The end state is called Global Brain (“The Singularity”).
  • Disclosure of Open Data (Repository, Data Warehouses/Data Cards, Visualization)
A lot of Open Data is entering the market. It is not clear where this data is situated and what the data means. In this case we need a Repository and tools to define what part of the data we need at this moment (a Data Warehouse, Data Cards). We need also tools to hide the complexity of the current open databases and makes it possible to show what is available (Visualization).
  • Smart Innovation (Business-model generation out of Big- & Open Data) 

There are already many on-line tools available that support the innovation process. The data that is used in these tools (for instance market-data) has to be gathered to validate the models. We want to use the Data-sciences to gather appropriate market-data and detect interesting business-opportunities, To do that we want to use Big- and especially Open Data. 

  • Smart Value Chain Integration & Reversal (Product Configurators, Data/Proces/Software-Mining, Intelligent User-Interfaces)
The value-chains are integrating and the customer is moving into control. Currently a value chain consists of many companies that use many not integrated and not connected legacy-systems. These systems contain data and process-models. We want to use the Data-Sciences to detect these models (Process-mining. Data-Mining, Software-Mining) and map them to available domain-models (ACCORD, ARTS,…) or develop shared domain-models. The data that is used in the value-chain can be mapped to a product-configurator. Last but not least the user-interaction with the customers has te be designed.
  • Smart Education (Just-in-Time Education)
Technology is changing fast. This has a huge impact on education. The current system of education is not able  to react to the fast moving technology-waves because it is created  to support the Industrial Revolution that ended around 1950. We are now beyond the next wave that is taking over manual work and moving into the next step in which the Human Brian is copied. The solution to this all, Life Long Education,  is already invented a long time ago but we are not implementing this solution because the Current Education System is aimed at preventive education, trying to train people in the first stage of their life. The solution is Just-in-Time-Education, training people at the moment they need knowledge (DeepQA) or experience (Simulators).
  • Smart Buildings & Building Process (with ABN AMRO Dialogs House)
The Building Industry is already using 3D-Models (BIM). A BIM-model is a low-level product-configurator but the model can be moved to a higher level in which it is possible to share (and sell) complete Models (for instance a Hospital). The models can be used to simulate every attribute of a building and let the customers play with possible designs. The models can be used to calculate risk and most important optimize existing buildings (Facility Management). When we combine this with sensor-technology we are able to create adaptable buildings.
  • Smart Food Chain & Dietetics
The Food Value Chain will revert and the customer will be in control. At this moment the customers are educated with theories about food that are changing fast. “Good” Food is time, context and body-dependent. We want to make tools that use personal sensors that show the customer what they have to eat to stay healthy and tell them where and how they can buy this food.
  • Food & Health (with the International Alliance of Future Centers)
It is not clear what the impact is of Food on our Health. In this project we will analyze the complete food-chain.
  • Smart Urban Space (The Self Actualizing City)
This is an integration of the concepts of the Smart City, Integrated Value Chains, the Creative City and Smart Social Networks.
  • Next Generation Media

Media are at this moment based on the Sender/Receiver-concept. We want to use the Data Sciences to detect patterns, transform these patterns into text and images and implement a feed-back process with the customers.

  • Next Generation Theatre
We want to use the concept of  5D Film to create a new type of sensory and emotional experience.
  • Next Generation Energy Systems
Implementing Autarkic Energy Systems.
  • Smart Mobility
Using new concepts like the Self-Driving Car & Sensor-Networks  to optimize mobility in Big Cities.
  • Social Enterprises (Impact Finance, Social Bonds, Circular Systems, Cooperatives, Complementary Currencies)
The next generation enterprises has to be aware and reduce its impact on society and environment. In this project we also look the finance of Social Enterprises (Impact Finance, Social Bonds) but also at the circular economy, new organizational structures (cooperations, ) and new financial systems based on complementary currencies.
  • Conflict-Resolution/E-Mediation
Preventing and resolving conflicts by implementing Smart Mediation.
  • Future Jobs (Unemployement & Sense-making, with the International Alliance of Future Centers)
What are the consequences of Smart Systems on employment?
  • Smart Care Systems

We want to use Smart Systems to help people that need Economic, Physical, Social and/or Mental Support.

  • Virtual Future Centers (with the International Alliance of Future Centers) 
Future Centers are currently location-based. Future Centers look like Smart Systems because they Sense their environment, react (Process Manager) on the Events that are happening, try to predict what will happen (Analytics), involve Networks (Communitiies of Practice, Interest and/or Affinity) and Scientific Knowledge Centers (like the LCDS), create a shared Vision and  put this vision into Action (Entrepeneurs, Innovators, Incubators). There are already many people busy with developing parts of the Virtual Future Center. We are currently designing an Architecture and will create an Alliance to join the efforts of all participants.
  • Next Generation Secure Data Centers
Smart Systems need Smart Data Centers.

LINKS

The Presentation of Prof. dr. H. J. van den Herik about Big Data and the Leiden Center of Data Science.

 

About Intelligent Design

Thermodynamics, the Science of Heat

Thermodynamics, the Science of Heat, became an important science in the 19th century when physicists started to improve the Steam-Machine. This blog is about a recently discovered law of Thermodynamics called the Constructal Law.

The Constructal Law describes How Intelligent Systems emerge out of the Laws of Thermodynamics.

Heat is Random Motion

According to Thermodynamics the evolution of the universe has been characterized by an on-going transformation from a simple, restricted, highly condensed, homogeneous state to an increasingly complex, widely dispersed, dynamic, multipotent, granular diversity.

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

Energy always moves from High to Low Temperature. This is the main reason why most of the energy of Earth comes from our Sun.

With help of the Electro-Magnetic radiation of the Sun we call Light, plants, algae and bacteria transform simple molecules into complex organic structures (Biomass = Potential Chemical Energy) and store the energy of the Sun. Bacteria and Fungi brake up these structures, produce heat, reduce the complexity, and close the Cycle.

Movement

The Input of the Heat of the Sun has to be compensated by a comparable Output of Radiation otherwise Earth would be burned instantly. The difference between the Input and Output of Energy is transformed into Movements on Earth.

The Earth’s climate is a huge flow system. It circulates air and water from the tropics to the poles and back. These flows develop as air and water move from hot to cold regions, a result of variation in the heating of the Earth’s surface by the sun.

The Earth is not only heated by the Sun. The hot kernel of the Earth is surrounded by a small crust. At certain places on Earth and the Sea the rotating pool of the magma-ocean produces a lot of energy.

The Earth with its solar heat input, heat rejection, and wheels of atmospheric and oceanic circulation, is a heat engine without shaft. Its maximized mechanical power cannot be delivered, but is instead destined to dissipate through air and water friction and other forms of heat loss. It produces maximum power, which it then dissipates at a maximum rate.

The earth is wasting a lot of energy because the transmission of  most of its energy is not contained in a Tube-like-system.

The system maximizes the sum of the work done driving the planetary circulation, and the heat rejected back to space at the cold end of the heat engine.

Turbulence

When the speed of the planetary circulation is low, so are the turbulent losses. As speed increases, up to a certain point the sum of work done (circulation speed) and heat rejected also increasing until the turbulence starts to interfere with the circulation and  actually decrease the total of work done and heat rejected. That is the point, “the edge of turbulence“,  at which the system will naturally run.

Balance

Every flow system tries to find the perfect balance between movement and friction.

The biomass on Earth is direct or later (Oil, Gaz, Coal) consumed by all kinds of organisms. In Food-Webs Organisms are consumed by other organisms.

We, the Humans, describe the interaction of the organisms in the Food-Webs as a Struggle for Live, a Survival of the Fittest, but the flow of energy in the food webs could also be seen as an adaptive chain of chemical reactions that are performed in self-moving, self-reproducing chemical factories.

Energy is Potential Movement. The potential energy stored in the biomass on Earth is transformed into circular movement (kinetic energy). During this transformation Heat is produced. Heat is the waste produced by a restrained non-effective movement.

The energy of the Sun produces all kinds of movements on Earth. Examples are river-delta’s, our respiratory system and the weather-system.

Constructal Theory

According to Constructal Theory the generation of design (configuration, patterns, geometry, shape, structure, rhythm) in nature is a physical phenomenon that unites all animate and inanimate systems. Design in Nature always shows itself as systems that flow and improve themselves.  Systems improve themselves because the movement from chaos to order takes many discrete steps.

Flow Systems

Biological organisms are flow systems. River basins are flow systems. A Tree is a flow system. The Traffic System is a flow system. The City of Paris is a flow system. The Financial Market is a flow system. The Internet is a flow system. A Proces-Manager is a flow system.

Turbulence is the result of connected vortexes.
Flow Systems

All these flow systems must be structured (architecturally designed) in such a way that the currents that flow (Life Energy, Water, Air, Electricity, Gaz, People, Cars, Trains, Airplanes, Content, Money) increasingly get to where they need to go. This gives shape and structure to everything that evolves over time.

Flow Systems always remove the Resistance to the Flow themselves.

Constructal Law is formulated as follows: “For a finite-size system to persist in time (to live), it must evolve in such a way that it provides easier access to the imposed currents that flow through it.”.

Resistance to Change

Nature always provides Resistance to Change (Heat, Erosion, Friction) and this resistance is provided by the Systems of the Past. The current Order resists the potential Chaos of Free Moving Energy.

The Paths of Change of our Universe always move in the same way. The pattern looks like a Moebius Ring, the number 8, because this is the only way to cope with the polarity of the movements. In a Moebius Ring two Opposite Cyclic Movements are perfectly United.

A Moebius Ring is a 2D-structure that operates in 3D because it needs a Twist to operate.

Engines and Brakes

According to Constructal Theory the Energy of the Sun creates two types of Systems called Engines and Brakes.

Engines are the most effective and efficient states in the evolution of our Universe. They have found the best way to cope with the resistance that is provided by the Brakes. Brakes are the old systems like trees, forests and natural or constructed dams that slow down the movement so the potential energy can be stored.

If the Energy of the Sun is not stored,  the Self-Reproducing Systems are unable to evolve to a higher level of organization.  If every Resistance would be gone the Flow-Systems would Flow in a Radial Pattern to every Direction possible.

Stream-lining

If we remove the Natural Brakes (Forests, River-delta’s) the Expansive Flow-systems will take over control and the Smart Highly Improbable Next Generation Brake Systems, the Organisms would die.

We, the Humans, are here to Resist the Engines that give the Flow-Systems the opportunity to make Everything the Same. Every Thing has to become the Same because the Universe does not discriminate. Every configuration has the same chance to be alive.

Dependent on the type of flow there are standard solutions to the dualities that are provided by the eternal battle between engine (movement) and brake (not-movement).

The standard solution can be calculated using the Laws of Thermodynamics. Tree (or Leaf)-shaped fractal systems are for example the best solution for a One-to-Many (or Many-to-One) Flow. The Flow Systems always converge to these Shapes.

Our Earth is rotating, spinning and moving around our moving Sun. The influx of Energy on every area on Earth is changing all the time.

This means that every Flow-System on Earth has to adapt to the short term and long term changing Energy Input of the Sun.

Resilience: Expanding and Contracting a String

The stability of a Flow-System, the Resistance to Change, is highly dependent on the Resilience of the System.

According to the theory of Panarchy the Resilience of a System is dependent on the Potential and the Connectedness of a System.

In  the Exploitation/Conservation phase of the Adaptive Panarchy-Cycle the Constructal Engines become more efficient (producing more Potential) and Connected. This means that the amount of possible paths in the River-delta of the System is reduced. This amount determinates the resilience of the system.

At the state of maximum production and maximum connection (conservation) the system is spending all its potential at self-reproduction and is highly vulnerable to external disturbances. At a certain moment when a disturbance destroys the majority of the paths the system collapses (release).

The bits and pieces, the components, of the scattered ecology are reassembled sometimes in a different way (reorganization) and the system starts again most of the time on a higher level of organization.

Law of Kleiber

Kleiber's law

Kleiber’s Law is an example of the Constructal Law. It shows the many levels of organization that have occured since the chemical factories of the bacteria started to work together. Kleiber’s Law can be extented to the level of the Community and the City.

The Panarchy Cycle is Self-Similar. It repeats itself on many Scales. The higher the scale the bigger the impact and the slower change takes place.

The Scales are interconnected. A huge disturbance on a lower scale (Revolt) can have an huge impact on a higher scale when both cycles are moving into the Release State.

A Slow moving High Level Cycle can help to restructure a fast moving cycle by providing the template of the way the components were originally assembled (its CommunityDNA) (Remember).

From Classical Mechanics to Quantum Mechanics

Constructal Law is a Law of Thermodynamics.

Thermodynamics has evolved into a Statistical Theory called Statistical Mechanics.

To calculate a probability you have to define the Space of all Possibilities of a System, the Phase Space.

When you don’t know what a system will look like it is impossible to calculate the Phase Space.

To calculate the possibilities of Constructal Law you have to imagine the possible constructions of Mother Nature.

Triangle of Pascal

It is possible to play with Probability Theory without knowing the exact Phase Space. In this case you have to look at the probabilities of the probabilities. These probabilities are described by the Triangle of Pascal. Behind the Triangle of Pascal a new Triangular Structure shows itself. This pattern goes on and on until the primary Triangle of Creation, the Holy Trinity, is reached.

Trinity

The Trinity is a combination of Desire (Mother, Female, Expansion, FLOW), Control (Father, Male, Compression, BRAKE) and the combination of both Expansion AND Compression also called the Void or the Tao. In Physics the Void is called the Vacuum or the Zero-Point-Field.

The Triangular Pattern behind the Triangle of Pascal

The Act of Creation

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

The Vacuum is the Eternal Flow System of Creation. I

t contains everything that is possible even the impossible, the Empty Set.

The Tao is like a well: 

used but never used up.

It is like the eternal void:

filled with infinite possibilities.

It is hidden but always present.

I don’t know who gave birth to it.

It is older than God.

The Big Bang is a result of the Union of the Opposites (Yin/Yang, Male/Female, Matter/Anti-Matter, Expansion/Compression) that both came out of the Void.

(Tao Te Ching 4)

The Sea of the Nothing

According to Constructal Law every finite-size system must evolve in such a way that it provides easier access to the imposed currents that flow through it.

The Tao is the Channel of the Energy of Life.

If Constructal Law is Right we have to give easier access to this Flow. We have to become the River to move to our final destination, the Sea of the Nothing.

LINKS 

A video about Constructal Theory

About the Higgs Field and the Big Bang

Why the Objects in the Universe are of Different Size

About Innovation and Thermodynamic

About Friction

About the Big Freeze

About the Constructal Theory of David Deutsch

The Website about Constructal Theory

An Introduction into Constructal Theory

About Morphology

About Panarchy

About Kleiber’s Law

About Genetic Similarity Theory

Over Veerkracht (Resilience) (in Dutch)

Thermodynamica

De leer van de thermodynamica is in de 19e eeuw ontstaan uit natuurkundig onderzoek dat werd uitgevoerd om de efficiëntie van de stoommachine te verbeteren. Inmiddels heeft deze wetenschap belangrijke wetten over het Universum ontdekt.

Volgens de thermodynamica beweegt de energie in het Universum op de lange termijn zich van een onmogelijke extreem hete situatie, de Big Bang, naar een toestand van extreme kou en een hoge waarschijnlijkheid, de Big Freeze, waarin alles netjes uniform verdeeld is. Het universum beweegt van extreme chaos naar extreme ordening.

Energie Stroomt van Hoge (Chaos) naar Lage Temperatuur (Orde)

Energie stroomt daarom altijd van hoge (chaos) naar lage temperatuur (orde). Vrijwel alle energie op aarde komt van de zon in de vorm van electro-magnetische straling. Met behulp van deze zonnestraling transformeren planten, algen en bacteriën simpele chemische structuren in complexe biomassa (chemische energie). Bacteriën en schimmels breken deze structuren weer af waardoor de cyclus wordt gesloten.

Biomassa wordt door de rest van de organismen op aarde direct of soms veel later (olie/gas/steenkool) geconsumeerd. Het consumeren van de primaire zonne-energie vindt plaats in voedselketens waarin de organismen ook zelf weer worden geconsumeerd.

Een VoedselKeten is een Chemische ReactieKeten waardoor Energie stroomt van Chaos naar Orde

Vanuit ons menselijk perspectief interpreteren wij het consumeren van de participanten in een voedselketen als een competitie (“survival of the fittest”) maar we kunnen het ook zien als een uiterst flexibele keten van chemische reacties die worden uitgevoerd in bewegende zichzelf reproducerende chemische fabrieken.

 Energie is de mogelijkheid om iets in beweging te krijgen of te houden. De opgeslagen (potentiële) energie in de aarde wordt soms in meerdere stappen omgezet in beweging (kinetische energie). Tijdens deze omzetting gaat er altijd warmte verloren (dissipatie, wrijving, weerstand, erosie).

De Energie van de Zon Voedt de Stroom-Systemen op Aarde

De energiestroom van de zon wekt door de rotatie van de aarde stroom-systemen (flow-systems) op. Stroom-systemen hebben een boom-structuur als de stroom van een punt naar een oppervlak of een volume gaat. Een voorbeeld zijn het weersysteem en een meanderende rivier-delta. De longen en de bloedvaten in ons lichaam hebben precies dezelfde opbouw omdat hetzelfde proces ook in ons lichaam optreedt.

Volgens de Constructal Theory van Adrian Bejan verbeteren de stroomsystemen zich steeds opnieuw en dat doen ze door gebruik te maken van de permanente slijtage (dissipatie, wrijving, weerstand, erosie) die de stroombeweging veroorzaakt.  Uiteindelijk vindt er altijd weer ergens een doorbraak plaats in de meander.

Constructal Law

Adrian Bejan heeft de Constructal Theory volledig analytisch afgeleid uit de wetten van de Thermodynamica. Hij  beschouwt het principe van de verbeterende stroomsystemen (“construction”)  als een Hoofdwet van de Thermodynamica. Volgens hem is ontwerpen niet een intelligente actie maar een volstrekt logisch gevolg van de werking van ons Universum.

De stroom van onmogelijkheid naar uniformiteit, van hoge onwaarschijnlijkheid naar hoge waarschijnlijkheid gaat gepaard met allerlei tussenstadia waarin de bestaande structuren de nieuwe structuren de weg wijzen.

Oude Paden Slijten Uit

De doorbraken in de meanderende stroompatronen maken beter gebruik van de huidige mogelijkheden maar de oude paden behouden lange tijd hun functie. Hierdoor is een stroomsysteem niet afhankelijk van één pad en is daardoor ook bestand tegen calamiteiten (bijv. een sterk verhoogde regenval in het stroomgebied van de rivier).

Het systeem waar de stroomsystemen onderdeel van uitmaken bestaat uit Machines (Constructal Engines) en Barrières (Brakes).

De machines en de barrieres zorgen ervoor dat de aarde niet te warm of te koud wordt.

De Weg van de Minste Weerstand

De machines zoeken de weg van de minste weerstand, optimaliseren de stroom, bouwen structuren op, slopen de barrieres, produceren kinetische energie en minimaliseren de slijtage. De machines slechten het pad naar de Big Freeze waarin alles gelijk zal zijn en alles stil zal staan.

De barrières bevatten potentiële energie, leveren de weerstand om de minste weerstand te vinden, slopen de machines, optimaliseren daardoor de dissipatie en produceren een maximale hoeveelheid straling met een hogere golflengte als de binnenkomende zonnestraling die de aarde weer verlaat.

Produceren en Consumeren houden elkaar in Evenwicht

Produceren (Machines) en Consumeren (Vernietigen, Slijten) houden het wankele evenwicht van Moeder Aarde in stand.

De evolutie van ecologieën, steden, organismen (wet van Kleiber), talen (wet van Zipf), organen (de longen, bloedvaten), sporten en technologieclusters voldoen aan de Constructal Theory.

Eco-Systemen zijn ook Stroom-systemen

In 2002 hebben Holling en Gunderson het boek Panarchy: Understanding Transformations in Human and Natural Systems gepubliceerd.

De vier fasen van een Ecologie.

Panarchy bevat een integrale visie op de evolutie en de adaptieve cyclus van  de constructal engines die men ecosystemen noemt.

Panarchy : Een Ecologie doorloopt altijd Vier Fasen

Panarchy is ontstaan door het combineren van ogenschijnlijk conflicterende theorieën. Die theorieën leken conflicterend omdat ze betrekking hadden op de verschillende fasen (Zie Plaatje Phase Space hieronder) van de adaptieve cyclus die een ecologie doorloopt.

De combinatie van de vier mogelijke fasenruimten levert een op-en neergaande cyclus op waarin op een zeker moment een sprong (bifurcatie) wordt gemaakt naar een compleet nieuwe ruimte. Nadat deze sprong heeft plaatsvonden stopt de dynamiek van de oude ecologie.

Exploitatie: Orde en Overschotten

De meest herkenbare fase is de Exploitatie-fase (B).  Dit is de opgaande lijn waarin de ecologie een hoge mate van orde bereikt en overschotten (Potential) produceert.

De vier fasen van de Panarchy Cyclus voorgesteld als een landschap met een rollende bal

Veroudering: Het rekken van het Einde

Aan het eind van deze fase neemt de potentie af en wordt er van alles gedaan om de levensduur van de ecologie zo lang mogelijk te rekken (C -Conservation). In deze fase zijn de structuren verouderd geraakt en zijn er op allerlei plaatsen reeds alternatieven (bypass) ontstaan die beter passen op de huidige vraag naar beweging.

De ecologie is in de conservatie-fase vrijwel tot stilstand gekomen en besteed al zijn energie aan het onderhouden  van zijn eigen structuur.

Tijdens de langzaam opgaande lijn van de Exploitatie-fase neemt de verbondenheid en vooral de afhankelijkheid (Connectedness) tussen de participanten onderling enorm toe waardoor de ecologie steeds kwetsbaarder wordt voor verstoringen.

Dood en Wedergeboorte

De constructal engines in de ecologie gaan steeds efficienter samenwerken wat ten koste gaat van de diversiteit en de variatie in de ecologie.

De ecologie kan verstoringen opvangen totdat de  verschillende paden nog niet zijn dichtgeslibd maar een verstoring die alle paden tegelijkertijd raakt is dodelijk.

Op het laatst wordt de Veerkracht (Resilience) enorm op de proef gesteld en kan het gebeuren dat de Ecologie volledig ten onder gaat (Release) of na een grondige Reorganisatie weer aan een nieuwe levensloop kan beginnen.

Veerkracht

De resilience van een ecologie wordt gemeten door de snelheid te meten waarmee een ecologie zich weer herstelt van een verstoring.

Volgens Panarchy beweegt een Ecologie zich op verschillende schalen en plaatsen en kan op die plaatsen in verschillende fasen verkeren waardoor er allerlei soorten van interactie mogelijk zijn.

Hoe hoger de schaal hoe langzamer de cyclus verloopt.

Hoge schalen dempen de fluctuaties van de lagere schalen.

Een snelle lokale reorganisatie kan zich plotseling heel snel verspreiden (een Lopend Vuur (Revolt)) terwijl een langzame geleidelijke ontwikkeling (een organisatie) een snelle ontwikkeling weer kan dempen of tot stilstand kan brengen (de organisatie van de Brandweer (Remember)).

Schalen en Zelfreferentie

Panarchy is een Zelf-Refererend Cyclus-Model dat bestaat uit Vier Fasen en (minstens) drie Schaalniveaus

De panarchische golfbeweging bestaat uit twee stappen n.l. de  positieve weg Omhoog naar de Top (exploitation, conservation)  en de negatieve weg Omlaag naar het Dal (depressie, reorganization).

Op een bepaald moment kan de golfbeweging zich splitsen waardoor een nieuw (ander) niveau van organisatie optreedt. Deze sprongen doen zich volgens een vaste regelmaat voor.

Een Mens is een Bewegende Ecologie

Als we kijken naar terminologie en inhoud valt het op dat er een groot verband bestaat tussen Ecologische-, Economische- en Persoonlijkheidstheorien. De natuur, de economie en de mens lijken onderhevig te zijn aan dezelfde wetten.

De theorie over de Menselijke Natuur heeft erg veel weg van de Theorie die wij over de Natuur zelf hebben ontwikkeld. De mens is een zelfstandig bewegende ecologie, een stromend stroomsysteem waaraan een groot aantal participanten deelnemen.

Bacteria wisselen DNA uit

Die participanten hebben zich in de loop der tijd verenigd omdat een samenwerkingsverband veel efficienter bleek te zijn dan een solitaire ontwikkeling.

Samenwerken

In het begin bestond het samenwerkingsverband uitsluitend uit simpele chemische fabriekjes, bacteriën, die genetische ontwerpinformatie (DNA) van hun fabriekjes uitwisselenden. De eerste fundamentele stap in de samenwerking van de bacterien was de statische spons. De mens heeft erg veel ontwerp-informatie gemeen met de spons.

Spons

Later gingen de organismen bewegen en waarnemen. Hierdoor gingen ze als individuen samenwerken met andere organismen die genetisch op hen leken (zie Genetic Similarity Theory).  Het uitwisselen en combineren van ontwerp-informatie ging gewoon door (sex).

In volgende fasen ontstonden er hogere ordeningen, zoals lichamen die lichamen konden bevatten (huizen, steden, vliegtuigen, onderzeeboten en auto’s).

Een Stad en een Land is een Ecologie

Op dit moment is de (grote) stad het hoogste niveau van koppeling maar niets houdt de “Constructal Law” (of de Entropie) tegen om een ordening te gaan scheppen op  het niveau land of aarde.

Dat betekent dat er nieuwe slagaderen moeten komen om de ontwerp-informatie en de energie die tussen de grote steden gaat stromen te faciliteren. Overduidelijk is dat het Internet de basis vormt van het zenuwstelsel van de aardse informatievoorziening.

Entropie

De thermodynamica is een statistische theorie. De kansverdeling van een Systeem wordt de Entropie van het Systeem genoemd.

Om een kans te kunnen berekenen moet je de kansruimte (de Phase Space) bepalen. Die bestaat uit alle mogelijkheden.

Het aardige is dat je niet hoeft te beschikken over kennis van alle combinaties van alle componenten van een specifiek systeem om erg veel te weten te komen over een kansruimte.

Driehoek van Pascal

Je kunt gaan spelen met willekeurige componenten (a,b,c,d,e,….), de combinaties in een matrix stoppen, gaan tellen en patronen zoeken in de getallen die er dan worden gevonden. Je bent dan bezig met de statistiek van de statistiek of beter de waarschijnlijkheid van de waarschijnlijkheid. De mogelijke patronen worden beschreven in de Driehoek van Pascal.

Wat dan blijkt is dat er achter het patroon van Pascal weer een patroon zit (zie plaatje).  Dat patroon bevat wederom driehoeken en het is zeer waarschjinlijk dat er achter de driehoeken weer driehoeken zitten. Driehoeken in driehoeken in driehoeken in…. noemt men een fractal, een zelf-herhaling.

De  (on)waarschijnlijkheid is eigenlijk heel mooi en vooral ook simpel geordend en komt voort uit een zichzelf herhalend patroon, de Drie-Eenheid, dat in iedere godsdienst op aarde voorkomt.

Wetenschap en Godsdienst gaan uiteindelijk over hetzelfde.

LINKS

Over de Big Bang

Over Thermodynamica

Over Constructal Theory

Waarom een stad een organisme is

Waarom de genen bepalen wie we aardig vinden 

Over Pan en Anarchie

Over de Wet van Kleiber

Over de orde achter de wanorde (Over de Driehoek van Pascal)

Over de Uitgebreide Driehoek van Pascal

Over de drie-eenheid.

About Perspective

Introduction

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

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

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

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

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

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

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

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

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

The Future is Expanding Space with Infinite Potential.

Time moves behind Space and Scales Space.

About Perspective Drawing

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

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

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

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

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

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

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

Perspective Machine designed by Albrecht Durer

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

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

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

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

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

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

About Projective Geometry

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

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

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

Two projections of the same object.
Different Points of View

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

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

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

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

Pappus’ Theorem

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

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.

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

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

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

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

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

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

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

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

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

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

When we look at the Origin of Projective Geometry, the Artist painting A Sphere, Earth, on a Flat Surface, it is not difficult to realize that this Closed Surface is a Sphere.

.

Geometry is now divided into Four  Layers. Each Layer adds a set of Assumptions that creates certain Invariants for that Layer.

An invariant is a property of a configuration of Geometric Entities that is not altered by any transformation belonging to the specific layer.

A transformation is an operation applied to a Geometric Entity. The most common transformations are Translation, Rotation and their Combinations (Reflection).

What we will see is that the Four Points of the Cross-Ratio are highly related to the Four Layers. In Every Higher Layer One Point of the Cross-Ratio is moved to the Internal Landscape, the Mind, of the Observer. This principle is called “As Within so Without“.

The First and most fundamental Layer is the Layer of Projective Geometry. This is the Layer of Human Perception and is invariant under the Cross-Ratio also called a Moebius Transformation.

The Second Layer is called Affine Geometry. In this layer Parallel Lines are preserved and the Assumption of a Plane at Infinity, the Horizon,  is created.  This Plane generates Parallel and Orthogonal Relationships between Geometric Entities by placing One of the Four Points of the Cross-Ratio in the Plane at Infinity.

Affine Geometry is Euclidean Geometry with congruence (something is the same when Shape and Size are the Same) and a metric (a definition of a Distance) left out. An affine transformation preserves straight lines and ratios of distances between points lying on a straight line.

This the layer of  the Emotions, “the harmony of all parts in affinity to one another” of  Leone Batista Alberti.  In Affine Geometry the Frame of Reference of the Painter, the Floor,  is created. On this Floor,  the Horizon, the Plane at Infinity is drawn.  From the Point of View of the Observer, it is not possible  to Judge Distance or the-Sameness because a given Visual Object may be Large and Far away or Small and Close.

In Eucludian Geometry A Ruler contains a Fixed Scale

The Third Layer, Metric Geometry, adds the concept of Distance (Metric, Scale) to the Affine Layer. A Distance is a relation between Two Points of the Cross-Ratio. This is the Layer of the Painter, Creator, Observer, who creates his own Distance to the Distances he is Painting in the External Frame he is looking at.

Since Projective Space is the Space of Actual Perception, the true function of Metric Space is the Coordination of Various Perspectives. This is illustrated in Perspective Drawing, in which there are always Two Perspectives being Coordinated—the Vanishing Point and a Point just behind the Eyes of the Observer.  Each of these is an instance of the One Point at Infinity.

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.

LINKS

Generalized Projective Geometry

Paul Dirac: About Physics and Projective Geometry

About the Middle Ages

About Expanding Space and Not-Euclidian Geometry

About the Renaissance

About Resistance and Mass

About the Mathematics of Perspective

About the Ether

About Clean Space

About Projective Geometry

Pictures of the Projective Plane

About Geometric Algebra

About As Within, So Without

About the Reciprocal Theory of Dewey B. Larson

A Video about Mobius Transformations

About Projective Geometry and our Senses

About Projective Geometry and Geometric Algebra

About the Cube of Space

About Time and Paranormal Experiences

About Geometry

A Textbook about Metric Geometry

About the Four Points of View

About the Void

Why the Future is Open Space

About Alchemy and the Klein Bottle

About the Human Sensory System

Stuart Kaufmann: About the Adjacent Possible

About Number and Magnitude

A DEltapulse

We have lost the relationship between Number and Form or Number and Magnitude as the Ancient Greeks called their Forms.

A few years ago a Revolution in Mathematics and Physics has started. This revolution is caused by Geometric Algebra.

In Geometric Algebra the Ancient Theories of Euclid and Pythagoras are reevaluated.

Numbers are Scalar (Quantum) Movements of Geometric Patterns and not Static Symbols of Abstractions that have nothing to do with our Reality.

Movements and not Forces are the Essence of Physics.

The basic rule Movement = Space/Time (v=s/t) shows that  Time and Space are two Reciprocal 3D-Spaces. Our Senses Experience Space and not Time.

The Simple Rule N/N=1/1=1 balances the Duals of Space and Time. One Unit Step in Space is always Compensated by One Unit Step in Time.

Geometric Algebra has a strange relationship with Pascals Triangle. This Triangle, also called the Binomial Expansion, contains all the Possible Combinations of two Independent Variables. Our Universe is a Combination of Combinations exploring Every Possibility.

The last and perhaps most important Discovery in Mathematics called Bott Periodicity shows itself in Pascals Triangle.

Bott Periodicity proves that we live in a Cyclic Fractal Universe, the Wheel of Fortune, that is Rotating around the Void, the Empty Set. The Empty Set contains Every Thing that is Impossible in our Universe.

This blog is not a Scientific Article. I have tried to connect the Old Sciences and the New Sciences in my own Way.

It contains many links to Scientific Articles and even Courses in Geometric Algebra.

So if you want to Dig Deeper Nothing will Stop You.

About the One and the Dirac Delta Function

Every Thing was created out of  No Thing, the Empty Set, ɸ, the Void, the Tao. The Empty Set contains 0 objects.

The Empty Set is not Empty. It contains Infinite (∞) Possibilities that are Impossible.

Every impossibility has a probability of 0 but the sum of all possibilities (1/∞=0) is always 1. In the beginning ∞/∞ =1  or ∞x0=1.

This relationship is represented by the Dirac Delta Function. It is used to simulate a Point Source of Energy (a Spike, an Explosion) in Physics.

The Delta is reprented by the Symbol Δ, a Triangle. The Delta is called Dalet in the Phoenican and Hebrew Alphabet. Daleth is the number 4 and means Door.

The original symbol of the Delta/Daleth contains two lines with a 90 Degree Angle. Two orthogonal lines create a Square or Plane.

The Dirac Delta Function is defined as a Square  with an Area of 1,  a Width of 1/n and a Height of n where n->∞.

The Dirac Delta Function is a Line with an Area of 1.

The Dirac Delta Function δ (x) has interesting properties: δ (x) = δ (-x), δ (x) = δ (1/x). It has two Symmetries related to the Negative Numbers and the Rational Numbers.

When we move from 2D to 1D, the Number Line, the Delta Function becomes the Set of the Numbers N/N =1.

The Monad (1) of the Tetraktys of Pythagoras, the Top of the Triangle, was created by Dividing the One (1) by Itself without Diminishing itself. The Monad (1/1=1)  is part of  the 1D Delta Function.

Creation is an Expansion of the 1/1 into the N/N, adding 1/1 all the time,  until ∞/∞ is reached. At that moment every Impossibility has been realized.

To move Back to the Void and restore the Eternal Balance of  the One,  Dividing (Compression) has to be compensated by Multiplication (Expansion).

At the End of Time N/M and M/N have to find Balance in the N/N,  move Back to  1/1, Unite in the 0 and become The Void (ɸ) again.

About the Strange Behavior of Numbers

The big problem of the Numbers is that they sometimes behave very differently from what we Expect them to do.

This Strange Behavior happens when we try to Reverse what we are doing.

It looks like the Expansion of the Universe of Numbers is Easy but the Contraction creates many Obstacles.

It all starts with the Natural Numbers (1,2,3,).

When we Reverse an Addition (Subtract) and move over the Line of the Void Negative Numbers appear. Together with the Natural Numbers they are called the Integers.

The same happens when we Reverse a Division and the Fractions (the Rational Numbers) (1/3, 7/9) suddenly pop up.

An Integer N is a Rational Number divided by 1 (N/1).

The Integers are the Multiples of 1, the Fractions are its Parts.

Numbers behave even stranger when we want to Reverse a Repeating Repeating Addition (Irrational Numbers) and want to calculate a Rational Power (2**1/2).

The Complex Numbers (or Imaginary Numbers), based on the Square Root of -1 called i, are a combination of the Negative Numbers and the Irrational Numbers.

Irrational Numbers ( the Pythagorean Theorem), Fractions (a Piece of the Cake) and Negative Numbers (a Debt) are part of our Reality but the Strange Number i represents something we cannot Imagine.

About the Duality and the Expansion of Space

In the beginning the only One who was in existence was the 1.

When the One divide itself again the number -1, the Complement of 1, came into existence.

1 and -1 are voided in the No Thing, the Empty Set, 0:  -1 + 1 = 0.

The Two, the Duality, both started to Expand in Two Opposite Directions (<– and +->) both meeting in the  ∞/∞. This expansion is what we call Space.

Space is a Combination of the Strings S(1,1,1,1,1,…) and -S = (-1,-,1,-,1,-1,…) where S+S=(0,0,0,0,0,0,…).

The Expansion pattern of Space is a Recursive Function S: S(N)=S(N-1)+1 in which + means concatenate (or add) the String “,1”.

An Addition X + Y is a concatenation of S(X) and S(Y). A Substraction X-Y is a concatenation of S(X) and -S(Y). In the last case all the corresponding combinations of 1 and -1 are voided. (1,1,1,1)-(1,1,1)=(0,0,0,1)=(1).

Multiplication XxY is Adding String S(Y) every time a “1” of S(X ) is encountered: 111 x 11 = 11  11  11. Dividing X/Y is Subtracting S(X) every time a “1” of S(Y) is encountered:.111  111  1/111=11 1/111. In the last example a Fraction 1/111 appears.

This Number System is called the Unary Number System.

About the Trinity and the Compression of Space called Time

The Strange Behavior of Numbers is caused by the Limitations of our Memory System. We are unable to remember long strings that contain the same Number.

To make things easy for us we Divide Space into small Parts so we were able to Re-Member (Re-Combine the Parts).

When we want to Re-member, Move Back in Time, we have to Compress Expanding Space.

Compressed Space is Time.

Time and Space have a Reciprocal Relationship called Movement (Velocity = Space/Time).

There are  many ways ( (1,1,1), (1,1,1),..) or ((1,1),(1,1))) to Compress a String in Repeating Sub-Patterns.

In the blog About the Trinity I showed that the most Efficient Way to group the One’s is to make use of a Fractal Pattern (a Self Reference) and Groups of Three Ones.

The Trinity applied to the Trinity ( A Fractal) is a Rotating Binary Tree. Binary Trees represent the Choices we make in Life.

The rotating Expanding Binary Trees generate the Platonic Solids (see linked video!) when the (number)-parts of the Binary Tree Connect.

When we connect Three Ones (1,1,1) by Three Lines (1-1,1-1,1-1) a 2 Dimensional Triangle Δ is Created.

If we take the Δ as a new Unity we are able to rewrite the patterns of 1’s and -1’s into a much Shorter Pattern of Δ’s and 1’s: (1,1,1),(1,1,1),(1,1,1), 1,1 becomes Δ,Δ,Δ,1,1.

We can repeat this approach when there is still a Trinity left: Δ,Δ,Δ,1,1 becomes ΔxΔ,1,1.

This Number System is called the Ternary Number System.

About Ratio’s and Magnitudes

According to EuclidA Ratio is a sort of relation in respect of size between two magnitudes of the same kind“.

A Magnitude is a Size: a property by which it can be compared as Larger or Smaller than other objects of the Same Kind. A Line has a Length, a Plane has an Area (Length x Width), a Solid a Volume (Length xWitdth x Height).

For the Greeks, the Numbers (Arithmoi) were the Positive Integers. The objects of Geometry: Points, Lines, Planes , were referred to as “Magnitudes” (Forms). They were not numbers, and had no numbers attached.

Ratio, was a Relationship between Forms and a Proportion was a relationship between the Part and the Whole (the Monad) of a Form.

Newton turned the Greek conception of Number completely on its head: “By Number we understand, not so much a Multitude of Unities, as the abstracted Ratio of any Quantity, to another Quantity of the same Kind, which we take for Unity”.

We now think of a Ratio as a Number obtained from other numbers by Division. A Proportion, for us, is a statement of equality between two “Ratio‐Numbers”.

This was not the thought pattern of the ancient Greeks. When Euclid states that the ratio of A to B is the same as the ratio of C to D, the letters A, B, C and D do not refer to numbers at all, but to segments or polygonal regions or some such magnitudes.

The Ratio of two geometric structures  was determinated  by fitting the Unit Parts of the first geometric Stucture into the Other.

An Example:  The Tetraktys is a Triangle (A Monad) and contains 9 Triangles (a Monad). The 1x1x1-Triangle Δ, a Part of the Tetraktys,  is Proportional to the Whole of the Tetraktys (T) and has a Ratio T/Δ = 3= Δ -> T = Δ (3)  x Δ (3) = 9.

The Mathematics of Euclid is not a Mathematics of Numbers, but a Mathematics of Forms.

The symbols, relationships and manipulations have Physical or Geometric Objects as their referents.

You cannot work on this Mathematics without Knowing (and Seeing) the Objects that you are Working with.

About Hermann Grassman, David Hestenes and the Moving Line called Vector

Hermann Grasmann lived between 1809 and and 1877 in Stettin (Germany). Grassmann was a genius and invented Geometric Algebra a 100 years before it was invented.

In his time the most important mathematicians did not understand what he was talking about although many of them copied parts of his ideas and created their own restricted version. None of them saw the whole Grassmann was seeing.

When he was convinced nobody would believe him he became a linguist. He wrote books on German grammar, collected folk songs, and learned Sanskrit. His dictionary and his translation of the Rigveda were recognized among philologists.

Grassmann took over the heritage of Euclid and added, Motion, something Euclid was aware of but could not handle properly.

angle between vectors in 2 dimentions

Grassmann became aware of the fact your hand is moving when you draw a 2D Geometric Structure. He called the Moving Lines, that connect the Points, Displacements (“Strecke”).

screw theory 2

In our current terminology we would call the Displacements “Vectors”.

blades

Vector algebra is simpler, but specific to Euclidean 3-space, while Geometric Algebra works in all dimensions. In this case Vectors become Bi/Tri or Multi-Vectors (Blades).

The Trick of Grassmann was that he could transform every transformation on any geometrical structure into a very simple Algebra. Multi-Dimensional Geometric Structures could be Added, Multiplied and Divided.

The Greek Theory of Ratio and Proportion is now incorporated in the properties of Scalar and Vector multiplication.

add-bivectors

About a 100 years later David Hestenes improved the Theory of Grassmann by incorporating the Imaginary Numbers. In this way he united many until now highly disconnected fields of Mathematics that were created by the many mathematicians who copied parts of Grassmanns Heritage.

About Complex Numbers, Octions, Quaternions, Clifford Algebra and Rotations in Infinite Space

Grassmann did not pay much attention to the Complex Numbers until he heard of a young mathematician called William Kingdon Clifford (1845-1879).

Complex numbers are ,just like the Rationals (a/b), 2D-Numbers. A Complex number Z = a  + ib where  i**2=-1. Complex Numbers can be represented in Polar Coordinates: Z = R (cos(x) + i sin(x)) where R = SQRT(a**2 + b**2).  R is the Radius, the Distance to the Center (0,0).

When you have defined a 2D-complex Number it is easy to define a 4-D-Complex Number called a Quaternion:  Z = a + ib + jc + kd or a 8-D Complex Number called an Octonion.

William Rowan Hamilton, the inventor of the Quaternions, had big problems to find an interpretation of all the combinations i, j and k until he realized that i**2 =j**2 = k**2 = ijk=-1.

What Hamilton did not realize at that time was that he just like Grassmann had invented Vector Algebra and Geometric Algebra.

This all changed when William Kingdon Clifford united everything in his new Algebra.  Clifford’s algebra is composed of elements which are Combinations of Grassman’s Multivectors.

The Clifford Algebra that represents 3D Euclidean Geometry has 8 = 2**3 components instead of 3: 1 number (Point), 3 vectors (Length), 3 bivectors (Area) and 1 trivector (Volume).

It turns out if you use combinations of these elements to describe your geometric objects you can do the same things you did before (you still have 3 vector components).

In addition, you can have additional data in those other components that let you find distances and intersections (and a lot of other useful information) using simple and (computationally) cheap numerical operations.

The most important Insight of William Kingdom Clifford was that the Complex Numbers are not Numbers all.

They are Rotations in higher Dimensional Spaces.

About Pascal’s Triangle and Mount Meru

The String 1,3,3,1 of Clifford’s 3D Geometry is related to the 4th Level of Pascal’s Triangle. Level N of Pascal’s Triangle represents N-1-Dimensional Geometries.

The Sum of every level N of the Triangle is 2**N. This Number expresses the Number of Directions of the Geometric Structure of a Space with Dimension N.

A Point has 0 Direction, while a Line has 2 Directions, relative to its Center point, a Plane has 4 Directions, relative to its Center Point, and a Cube has 8 directions, relative to its Center point.

Pascal’s Triangle is also called the Binomial Expansion. This Expansion shows all the Combinations of two letters A and B in the function (A+B)**N. Level 1 of the Triangle is (A+B)**0 = 1  and level 2 is A x A + 2 A x B + B x B -> 1,2,1.

The Binomial Expansion converges to the Bell-Shaped Normal Distribution when N-> ∞.

The Diagonals of Pascal’s Triangle contain the Geometric Number Systems (Triangular Numbers, Pyramid Numbers, Pentatonal Numbers, ..) and the Golden Spiral of the Fibonacci Numbers.

Pascal’s Triangle is a Repository of all the Possible Magnitudes and their Components.

The Normal Distribution shows that the first level of the Triangle (the Tetraktys) is much more probable than the last levels.

The first four Levels of the Triangle of Pascal contain the Tetraktys of Pythagoras.

The Tetraktys  is an Ancient Vedic Mathematical Structure called the  Sri Yantra, Meru Prastara or Mount Meru.

About Numbers, Operations and the Klein Bottle

The Complex Numbers are not “Numbers” (Scalars) at all.

They are “Operations” (Movements) that can be applied to Magnitudes (Geometries) and Magnitudes are Combinations of the Simple Building Blocks of the Tetraktys, Points and Lines.

The Tao of Ancient China was not for nothing represented by a Flow of Water. According to the Ancient Chinese Mathematicians Every Thing Moves.  In the Beginning there was only Movement.

In the Beginning only the One was Moved but when the Duality was created the Two moved around each other never getting into contact to Avoid the Void.

When we look at the Numbers we now can see that they are the result of the Movements of  the first Diagonal of Pascals Triangle,  the 1’s (Points) or better the Powers of  the One: 1 **N (where N is a Dimension).

Even in the most simple Number System, the Unary Number System, Concatenation is an Operation, An Algorithm.

The Mathematician John Conway recently invented a new Number System called the Surreal Numbers that contains Every Number you can Imagine.

The Surreal Numbers are created out of the Void (ɸ)  by a simple Algorithm (Conway calls an Algorithm a Game) that describes Movements (Choices of Direction: Up, Down, Left, Right, ..)  that help you to Navigate in the N-Dimensional Number Space.

The Ancient Chinese Mathematicians played the same Game with the Numbers.

Algorithms were already known for a very long time by the Ancient Vedic Mathematicians. They called them Yantra’s.

Geometry is concerned with the Static Forms of Lines and Points but there are many other more “Curved” forms that are the result of  Rotating Expansion and Compression. These forms are researched by the modern version of Geometry called Topology.

The most interesting 4D Topological Structure is the Klein Bottle.  The Klein Bottle is  a combination of two Moebius Rings. It represents a Structure that is Closed in Itself.

It can be constructed by gluing both pairs of opposite edges of a Rectangle together giving one pair a Half-Twist. The Klein Bottle is highly related to the Ancient Art of Alchemy.

The movement of the Duality around the Void can be represented by a Moebius Ring the Symbol of Infinity ∞.

Later in this Blog we will see why the Number 8 is a Rotation of ∞ and the symbol of Number 8 is a combination of the symbol of the number 3 and its mirror.

First we will have a look at the Reciprocal Relation between Space and Time.

About Dewey B. Larson, Velocity and Time

Dewey B. Larson (1898 – 1990) was an American Engineer who developed the Reciprocal System of Physical Theory (RST).

Larson believed that the failure to recognize that Motion is the most basic physical constituent of the universe has handicapped the progress of the traditional study of physics, which focuses on Forces.

The definition of Motion stems from the Equation of Velocity, v = ds/dt.

Instead of depending upon the change of the location of an object to define an arbitrary “quantum” of space per “quantum” of time, such as miles per hour, or meters per second, the RST assumes that the observed universal passage, or progression, of time is one aspect of a universal motion that necessarily must be accompanied by a universal “passage,” or progression, of space.

The Units of Time fill up the Units of Space. Space and Time are Duals.

Space is not-Time and Time is not-Space. Time is Non-Local, Cyclic and represented by the Rotating Imaginary Numbers. Space is Local, Linear and Represented by the Scalar Numbers. Space is the Vacuum and the Nothing and Time is the non-vacuum, the Every Thing, the Solids represented by the Cube of Space.

The Cube of Space is the structure behind the Tetraktys but also behind the Book of Genesis.

Our Reality contains two Reciprocal 3D-structures related to Space and Time. Space and Time are related by the Simple Formula N/N=1/1=1, the Formula of Diracs Delta Function.

We are able to perceive the Real 3D-Structure of Space. The 3D-Structure of Time is Imaginary. It is situated in the Imaginary Number Space of i.

LarsonsScalarCube.jpg

Larson, a Self Thought Genius like Grassmann, developed Geometric Algebra without knowing anything about Geometric Algebra but he also invented String Theory long before String Theory was invented.  The Mathematics of Larson is also the Mathematics of the Tetraktys of Pythagoras without even knowing anything about it.

wom_image3.jpg

Larson was able to Calculate all the important Physical Numbers without any problem and was also able to Calculate Chemical Structures and Reactions.

About the Bott Periodicity

The fourth line of Pascals Triangle and the Tetraktys contains 8 Directions in the Four Geometric Dimensions: 0, 1, 2, and 3.

Mathematicians are intrigued with this number 8, because they find it popping up unexpectedly in advanced mathematics.

In fact, expanding the Binomial Expansion to 8 dimensions just creates an inverse copy of these first Four Dimensions, and then the pattern just repeats itself with a half-twist and back from there, ad infinitum.

This is called Bott Periodicity discovered by the mathematician Raoul Bott (1923-2005).

The mathematician John Baez wrote an article in which he relates this 8-fold Periodicity to the Scalars (1), the Complex Numbers (2), the Quaternions (2×2), and the Octonions (2x2x2 = 2**3).

The Universe of Numbers and Magnitudes  is Cyclic and Fractal.

Our own Reality, symbolized by the Tetraktys,  repeats itself in Higher Dimensions until Infinity.

The Tetrad, represents Completion, because it contains all its Previous Numbers, the 1, 2, 3, and itself, 4, in One Number, 10 = (The One) +  9 (= 3 (Trinity)x 3 (Trinity) = Tetraktys).

As you can see in the Picture above the Fractal Pattern of 8 contains two kinds of Trinities/Triangles, an Upside and a Downside (Rotated by 180 Degrees) Triangle. When you Rotate by 180 Degrees the 1 becomes -1 and 1 + -1 =0 is the Void.

The Multi Dimensional Rotations of the Octonions always Come Back to Square 1/1=1, the One and keep Rotating around the Center, the Nothing,   Until Infinity.

LINKS

About the Tetraktys (2)

About Triangular Numbers and Pascal’s Triangle

About the Empty Set

About the Relationship Between Geometry and Music

About the Trinity

About the Game of the Surreal Numbers

About Larson and the Unification of Mathematics

The Collected Works of Dewey B Larson

About Number and Magnitude

About Ratio and Proportion

About Ratio and Proportion by Euclid

A book of Augustus deMorgan about “The Connection between Number and Magnitude”

The text of the Fifth Book of Euclid

An Educational You Tube Channel called Insights in Mathematics

About the History of Geometric Algebra

About the Sri Yantra

About Geometric Algebra

Free Software to use Geometric Algebra

About Clifford Algebra

About Topology

About the Digital Root Patterns

About the Heart Chakra

A Video that shows how the Platonic Solids are created out of the Trinity Numbers

All you want to know about Geometric Patterns

About the Vedic Square

This blog is about the Cycle of Nine implemented in the Digital Root or Modulus 9-Function. The Digital Root generates many Patterns that were used in Ancient Architectures.

One of the most important Digital Root Patterns is the Vedic Square. It is the Digital Root of the Multiplication Table of the numbers 1 to 9.

This Table contains the Harmonics of the Numbers 1 to 9. These Harmonics are highly related to the Harmonic Pattern behind the Cycles in our Universe.

The first part of this Blog is about the Digital Root. It contains the patterns that are behind the Cycle of Nine.

This part is very technical but it makes it possible to show that there is a deep structure  behind the Modulus-9.

This pattern has to do with just two numbers, 2 and 3. They generate the Spirals of Expansion and Compression of our Universe.

2 and 3 and their Sum 5  are also the Numbers behind the Harmonics of our Universe.

The Second Part is about the Vedic Square. It is called the Vedic Square because this Square is one of the most important tools in Ancient Vedic Mathematics.

Vedic Mathematics was used in many Ancient Cultures (China, Egypt, Greece) with different names. The Chinese art of Feng Shui was called Vaastu Shastra in India.

Pythagoras, trained in Egypt (Heliopolis),  used the same principles and used the same  Patterns the Ancient Vedic Scientists were using.

The last part is about the Game of Chess. This game is  just like many other Ancient Games a Simulator of the Game of the Universe.

This blog contains many links to other Blogs and Resources on the Internet. These references make it possible to dig deeper into this fascinating subject.

About the Digital Root

When  you divide a number X by a number N the Remainder of the division is called X Modulus N.  22 mod 7 = 1 because 22 = 3×7 + 1.

The Modulus-function N maps the Set of the Natural Numbers to the Numbers 0, 1, 2, ….,N-1.

One of the most famous and ancient Modulus-functions is called the Digital Root. The Digital Root is the Modulus 9 function.

Because 10 mod 9 = 1 every Power of 10 has a Modulus 9 of 1. Therefore (a10**X+ b10**Y+…) mod 9 = a + b, the Sum of the Digits of the Number. 62 mod 9 = 6+2 = 8.

Digital Roots have been recorded for thousands of years, formalized by Pythagoras in 530BC and even earlier in Indian Vedic Mathematics (Vaastu Shastra).

Digital Roots are used in Numerology. In Numerology Numbers have a Meaning.

In Gematria Letters and Words are transformed into Numbers which have a meaning.

In Ancient Languages like Hebrew Letters are also Numbers. Numerologists believe that Words with the same Digital Root have the same Meaning.

The numbers 0 to 9 of the Digital Root are the Points of the Tetraktys of Pythagoras.

The Tetraktys of Pythagoras

The Modulus 9 pattern contains 2 number groups (3,6, 9) and (1,2,4, 5,7,8).

Later we will see that the last group contains 2 subgroups (1,4,7) and (2,5,8).  Together with (3,6,9) we can map these 3 Triangels on the Modulus 9 Circle.

4 is the Middle of 1+7=8, 5 is the Middle of  2+8=10 =1 and 6 is the Middle of 3+9=12=3. 5 is also the Middle of the Middle.

The group (1,2,4,5,7,8 ) is called the Ring Z/9 in Mathematics. Z/9 is isomorphic with the Sequence 2**N mod 9 where N is positive and negative. The sequence 1,2,4,8,16(7),32(5),64(1),128 (2),256 (4),… repeats itself until infinity.

This Sequence is the Expansion and Compression Pattern of the Number 2.

The Ring Z/9 is part of the Tetraktys and forms a Hexagram. This Hexagram is a 2D-projection of the Cube of Space. When we combine the (3,6,9)-pattern with the Hexagon a (4×4) Triangle is created.

The number 2 is the Container, the Cube, inside the Tetraktys. That is the Reason why the Second letter in the Hebrew Alphabet Beth means Vessel or Container.

(3,6,9) is a Triangular Cycle that repeats itself until Infinity.  The Number 3, the Trinity, is the Mover of the Container of 2. This Rotation moves With and Against the Clock.

This is the reason why the 3th Letter of the Hebrew Alphabet, Gimel, means Camel. The Camel of Gimel carries the Water into the  2 Containers of Beth.

The Number-2-pattern contains 3 Binary Groups (called Polar Pairs) with a Sum of Nine (1,8), (2,7), (4,5). The Number-3-Pattern contains 2 Polar Pairs (3,6) and (0,9). The Polar Pairs represent the Lines of the Tetraktys.

(0,9) maps unto Itself and represents The Beginning and The End, The Now. (0,9) is a Point and a Line.

The Polar Pairs of the Z/9 create a Cyclic Pattern that contains two Squares, (1,2,4,0) and (5,7,8,0). Both of them Share the Zero, The Void.

The Sum of the Opposite Numbers of the Z/9, (4,8 = 12=3), (1,5 =6 ), (2,7=9) of the Tetraktys shows the 3,6,9-pattern again.

There are 8 Ternary Groups ((1,5,9), (1,6,8), (2,6,7), (2,5,8),(2,4,9),(3,4,8),(3,5,7),(4,5,6)) with a Sum of 15. This Ternary Group represents Triangels. All of them are part of the famous Lo Shu 3×3 Magic Square.

The 3 Triangles of (1,4,7), (2,5,8) and (3,6,9) copied from the linked Website.

When we use the number 3 as a generator 3 Triangles are created (1,4,7), (2,5,8) and (3,6,9).

The 3 Triangles move With and Against the Clock ((1,4,7) and (7,4,1)).

It takes 3 rotations to get every Triangle back to its original position. (1,4,7) becomes (7,1,4) and (4,7,1). This means that there are 6 permutations of every Triangle.

Every addition of two Triangels produces another Triangle.   An Example:  (1,4,7) + (2,5,8) = (3,9,6).

When we create a Matrix to find all the combinations a new group of 9 transformations ((1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6),(7,7,7),(8,8,8),(9,9,9)) appears. They are the Triangels that are a Line and a Point. An Example:  (1,4,7) + (1,1,1)=(2,5,8).

There are now (18 +9=27) x27 = 729=3**6 = 9**3 possibilities.

The same 27×27 Matrix appears when we Multiply the 3 Triangels. An Example:  (5,8,2)x(5,8,2)= (25,64,4)= (7,1,4) and (3,6,9)x(5,8,2)=(15,48,18)= (6,3,9).

Another interesting patterns  becomes visible when we look at the Opposite Numbers of 3 Triangels (1,5), (2,6), (3,7),(4,9) en (5,9) in the Picture above.  They recreate the Triangels. An Example: (5+9=5, 2+6=8 ,8+3=11=2).

About the Digital Root of the Golden Mean

The 27×27 Matrix pattern also emerges out of 24 repeating numbers (1 1 2 3 5 8 4 3 7 1 8 9 8 8 7 6 4 1 5 6 2 8 1 9) of the Digital Root of the Fibonacci Sequence (The Golden Ratio).

this solution gives the densest
lattice packing of spheres in 24 dimensio

When we group the Golden Ratio pattern in 2’s (2×12) the Polar Pairs appear. The 12 pattern has  a Sum of 108 = 0 Modulus 9. 108 and 24 are related to the Gayatri Mantra.

1 1 2 3 5 8 4 3 7 1 8 9

8 8 7 6 4 1 5 6 2 8 1 9

When we  group the pattern of 24 numbers (3×8) of the Golden Ration into Trinities the Triangle Pattern appears again.

1   2  3  4                  -3 -2 -1 -4 (Pattern-number)

1   1  2  3  (7)           5   8   4   3   (2)

7   1  8  9  (7)          8   8   7   6   (2)

4   1  5  6  (7)          2   8   1    9   (2)

The Pattern of the Pattern is (1,2,3,4,-3,-2,-1,-4). The last part of the Pattern (-3,-2,-1,-4) can be transformed into the first part (1,2,3,4) by adding 4.

The Digital Sum of the first 3×4 numbers is 7 and the Digital Sum of the last 3×4 numbers is 2.

When we rearange the 24 cycle in 6 groups of 4 digits another pattern shows itself: (1,4,8,5), (1,3,8,6), (2,7,2,7),(3,1,6,8), (5,8,4,1), (8,9,1,9).

The pattern of the Golden Mean copied from the Linked Website

When we combine all the different rotations of the 3 Triangels a Cyclic Flow Pattern appears that looks like the Jitterbug of  Buckminster Fuller.

The Jitterbug is a 3D projection of the 4D 24-Cell (again 24!) also called the Hyperdiamond.

The 24-cell is self-dual and is the regular polytope with no analogue among the five Platonic solids of 3-space.

The 24-cell also called the Hyperdiamond

About the Vedic Square

One of the Simple Structures of Numbers that contains a lot of patterns is the Vedic Square. The Vedic Square was called the Eight Mansions in China. The Vedic Square is the Digital Root of the Multiplication Table of the numbers 1 to 9.

The Multiplication Table is a subset of the 27×27 Matrix of the 3 Triangels.

The Multiplication Table contains the Harmonics of the Numbers 1 to 9.The Vedic Square was used to build the Pyramids, create the Chinese I Ching, the Game of Chess, Dante Alighieri used it to structure his trilogy La Divina Commedia, the Sistine Chapel was build and the frescoes and symbols were arranged according to its concepts and the first chapter of Genesis was written and imbued with its numerous concepts graphic images.

File:Michelino DanteAndHisPoem.jpg
La Divina Comedia of Dante with the Tower of Babel on the background. This Ziggurat is a Geometric Structure highly related to the Vedic Square.

Scholars and Artists discovered that the various lines of the Vedic Square could be used to direct a design. By selecting a line of numbers, and using a constant angle of rotation, various designs could be produced. These designs are visible in abstract Islamic Art.

The Vedic Square is a Symmetrical Structure because AxB=BxA. This is called the Associative Property of Multiplication.  The Square is a combination of Two Triangels and contains 45 distinctive numbers.

The Vedic Square repeats itself until infinity when you extend the Square to a NxN Square.

The number pattern of the diagonal of the Vedic Square, 1,4,9,7,7,9,4,1,9,  is the Digital Root Pattern of the Square Roots. This patterns repeats itself until Infinity.

The Vedic Square contains the 5 Polar Pairs, the 8 Lo Shu Ternary Groups and the 3 Trinity Patterns ((1,4,7), (2,5,8), (3,6,9). It also contains the Star of David, The Zodiac, the Tree of Life and many other Mystic Patterns.

It is possible to transform the Vedic Square to the Lo Shu Magic Square.

The patterns of the Vedic Square Rotate. The End of a Horizontal and a Vertical Pattern connects with the Beginning of the Pattern. This means that the Vedic Square is a Torus.

This Torus is called the Rodin Torus. The Rodin Torus is a Coil that produces a Uniform Electro-Magnetic Field.

The 3-6-9 and 6-3-9 Cycle in the Vedic Square can be thought of as Clockwise and Counter-Clockwise, or as Electricity and Magnetism. They are transport-channels.

The ((3,6,9),(6,3,9)-Matrix divides the Vedic Square in 9 2×2 Squares.

The 9 2×2 Squares have a Sum of 9,18 and 27 which is 1×9,2×9 and 3×9. If we leave out the (3,6,9)-Matrix and divide by 9,  a 3×3 matrix results with 1,2,3 on the Outside  and a Cross of 2’s in the middle. This 3×3 matrix shows the Expansion of the 2 into the (1,2,3).

Patterns in the Vedic Square

The Rows and Colums of Ring Z/9 add up to 45. The Rows and Colums of the Number 3-Pattern add up to 54 which is a Mirror of 45. The (4,5)-pattern generates the Star of David and the Zodiac.

About Indian Vastu Science

The Game of Chess originated in India. It was passed on to the medieval West through the intermediary of the Persians and the Arabs.

The form of the Chess-Board corresponds to the Vastu-Mandala, the 9×9  diagram which also constitutes the basic lay-out of a temple or a city.

Hindu mythology has it that Vaastu Purusha was born of Lord Shiva’s sweat when he fought the deadly demon Andhakasura.

Vaastu Purusha himself became uncontrollable and destructive and the heavenly gods finally subjugated him and brought him down on earth with face down, with his face in the Northeast and his feet in the Southwest.

45 deities stayed there, 32 of them in the outer enclosure and 13 of them in the inner enclosure holding him in place at various points or locations on his body.

32 =64/2 and the Number of the 32 Paths of Wisdom of the oldest book of Hebrew Mysticms the Sepher Yesirah (the Book of Formation or Book of Creation, ספר יצירה).

64 is the Number of the I Tjing. 45 (5×9) is the Sum of the Lo Shu Magic Square and the Number of the Vedic Square.

All these Mystic Structures come from the same Source and are different Views on the same Pattern, the Tetraktys, the Triangular Numbers created by the Meru Prastara or Sri Yantra also known as the Pascal Triangle.

The Vastu Jain Symbol is a version of the Tetraktys

The Vastu Mandala is an expansion of  a Point (the Bindu) into the Line(2), The Trinity (3) and the Rotating (With the Clock and Against the Clock) and Expanding Square (4), represented by the Symbol of the Swastika. The Swastika is a Fractal Generating Pattern.

Every Point is a generator from which the Swastika-pattern generates a new Swastika. The 2×2 Square is transformed by the Swastika Pattern into the 4×4 and the 8×8 Square.

As you can see the Vastu Jain Symbol is an Indian Version of the Tetraktys of Pythagoras.

The Swastika contains the Four Points of the last line of the Tetraktys that are related to the Tethahedron.

About the Game of Chess

The Chess-Board symbolizes the Unfolding of Space by the Number-2-pattern and it synthesizes the Complementary Cycles of Sun and Moon.

The number 64, the sum of the Black & White (Yin/Yang) Squares on the Chess-board, is a divisor of the number 25920 (25920/64=405, 25920/9= 2880/9=320/5=72), which measures the Precession of the Equinoxes.

The Polar Pairs in the Modulo 9 Pattern are expressions of the Planets.

(1,8), the Castles, relates to the Planet Mars.

(2,7), the Bishops, relates to the Planet Venus. Venus is the Ruler of the Heart and the (2,7) is situated in the Middle of the Vedic Square.

When viewed from the Earth, the Planet Venus inscribes a near perfect five-pointed star (pentagram) around the sun every eight years. The points of a five-pointed star (pentagram) touch the circle of a pentacle every 72 degrees.  Likewise, many in Islam expect 72 virgins in heaven.

A full 360 degrees of procession takes 25,920 years, which is also seventy-two (72) 360-year cycles.

(3,6), the Knights relates to the Planet of the Messenger, Mercury. Mercury is Hermes, the Messenger God, with winged sandals. The moves of the Knights create a pattern that looks like the Swastika.

The (3,6)-number-lines are Transport-Channels (Gimel) as you can see in the Vedic Square and the Rodin Torus. The planet Mercury traces a Hexagram during its movement around the Zodiac.

(0,9) is the Planet Jupiter,  the Ruler of Modulus 9 who determinates the Rules of the Game. (0,9) is the Beginning and the End of the Game and is the cause of the Rotation of the Swastika related to the (3,6.9)-pattern.

The numbers 4 and 5 are the Moon (Queen) and the Sun (King). The Moon moves the quickest of all the planets, so does the Queen on the chessboard.

The Number 5 of the King is the Center of the 3×3 Lo Shu Magic Square and the Center of the Tetraktys.

The 8 Pawns represent  the number 2 and are connected to the Planet Saturn, the 2nd Son of the Central Sun and the Trinity (1+ 2 = 3). The Pawns start to move with 2 steps and later move 1 step. The 2 is the Center (The Son of the Sun) of the Trinity.

The 2 is also the Generator of the Expansion Pattern and the Polar Companion of the 7, the Center of the 3D-version of the Square, the Cube of Space.

The Pawn (2, Saturn) promotes into a Queen (Moon, 2×2) when he has reached the Other Side.

LINKS

About the Multiplication Table of 9

About the Tetraktys

About the Trinity

About the Vedic Square

About the Tetraktys and the Lo Shu

About the Lo Shu

About the Harmonics of the Universe

About the Hyperdiamond

About the Void

About Harmonics and Entrainment

About Good and Bad Vibrations

About the number 24

About the Jitterbug of Buckminster Fuller

A Simulation of the Jitterbug Pattern (CUBIC WONDER)

About the Game of Chess

About Plato and the Sri Yantra

About the Rodin Torus

About Vastu Science

About Gematria

About Vastu Science and the Borobudur