All posts by jgmoxness

Mathematical Navigation of Ancient Sacred Texts

I’ve added some new features in the #15 pane (Gematria). This sociology pane deals with the idea of Old Testament Hebrew and New Testament Koine Greek Gematria. The histogram shows the distribution of words used in the Bible according to their gematria value in Hebrew or Greek. It also presents a clickable 3D hyperbolic tree (graph) of proper names related within verses, as well as a clickable “nearest word” graph. Each word in each book, chapter, verse are select-able by slider or clickable (as are the list of words with the same gematria values).

This combination of UI creates a powerful new way to navigate the bible. Each word in the verse is colored by their value in Hebrew (if Old Testament), Greek and English. It makes use of Wolfram’s curated LanguageData/DictionaryLookup to get a Nearest Word Graph in Hebrew and English. Note: Hebrew is properly presented from right to left.

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I also decided to attempt to develop visualizations related to the alignment of sociological, theological ancient world history using the recorded sacred texts created at the start of the Bronze age. The time line runs between 4000 BCE and 100 CE and the geopolitical map centers on the cradle of civilization Sumerian (Tigris/Euphrates), and extends from the Egyptian (Nile) to China’s (Yellow), and including Indian (Indus) and Persian cultures.

The list of sacred texts aligned by creation, flood and patriarch figures (e.g. Adam, Eve, Noah, Abraham) and primary deity (e.g. Elohim) were:
1. Egyptian Book Of The Dead
2. Babylonian/Sumerian Kings List/Epic of Gilgamesh/Enuma Elish
3. Hebrew(OT)-Greek(NT) Bible
4. Chinese I Ching
5. Indian Rig Veda
6. Greek Homeric Poems (Illiad/Odyssey)
7. Persian Avesta

SacredTextInfo

Given the amazing advancement of modern science in tracing the genetic lineage of human history along with radioactive dating techniques, it is untenable to interpret these sources literally with any precision. Yet, by understanding their “world view” at the time along with consistently applied “poetic license” across all the texts (e.g. Homer), one can come up with interesting theories for the veracity of their original intentions to document sociologic human history!

For example, it is interesting to note the alignment between the 10 AntiDiluvian (pre-flood) kings in both the Sumerian Kings List and the first 10 patriarchs (starting with Adam) in the Pentateuch. Both have unusually long life-times. When the extremely large (and in most cases rounded) ages of each person are reduced by factors based on the counting system in use (e.g. Sexagesimal (base 60) 10*60^2) for Sumeria and decimal 10^2 or 10^3), the reigns of kings and lifetimes of lineage align as follows:

Genesis2Flood1

See:
Antediluvian Patriarchs and the Sumerian King List
Reinvestigating the Sumerian Kings List

For a modern genetic species analysis visualization, see:
http://www.timetree.org/book.php

timetree_poster_final

See this Dymaxion Map of genetic analysis of human migration from Wikipedia Commons:
Map-of-human-migrations

Here is an old artistic map of World History from HistoMap http://www.davidrumsey.com/. It is largely Biblical in its antidiluvian history. While it is not based on modern scientific evidence, it is an interesting mash-up of information from various sources. A more detailed map (horizontal) is here (right-click the image to download and save-as the 20MB PNG file):
HistoMap

Here is another vertical version from the same website:
histomap1

and another histomap (linear and logarithmic) of the Earth’s Geologic/Evolutionary History (right-click/save-as for a 12MB version):
Evolution

New features and options – Lite version, MIDI Music, Hebrew/English Nearest Word Gematria

I created a “Lite” version (4-10 Mb) of the VisibLie_E8 CDF/NB/Intereactive application, so now you can interact with the main E8 and particle physics panes w/o loading the full 100 Mb version (which contains multiple versions of parametric spherical harmonics for atoms, Molecule/DNA protein data, 4 gematria word value indexed Hebrew/Greek Bibles, solar system and Universe simulation dynamics, etc.)

I added some demonstration capability to the Chords (Beauty of Math/Music) pane. It now has full instrumentation for creating MIDI tones along with the various tones in available chords.

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I added a cool Nearest Word Graph to the Gematria pane. This uses the Wolfram curated LanguageData / DictionaryLookup to find Hebrew and English words that are close in spelling (no Greek available yet)-:

gematria-snap1

I also added a more extensive cross index of common (or “interesting”) words found in the Hebrew/Greek Bibles used in the Gematria pane. These are:
English-Greek-Hebrew

Universal Time’s Arrow as a Broken Symmetry of an 8D Crystallographic E8 folding to self dual H4+H4φ 4D QuasiCrystal spacetime

Animations of Wolfram’s Cellular Automaton rule 224 in a 3D version of Conway’s Game of Life.

While this does not yet incorporate the E8 folding to 4D H4+H4φ construct, the notion of applying it, as the title suggests, to a fundamental particle physics simulation of a “Quantum Computational Universe” or an emergent (non)crystallographic genetic DNA (aka. Life) is an interesting thought…

Watch a few notional movies, some in left-right stereo 3D. Best viewed in HD mode.

More to come, soon!
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These are snapshots of all the different initial conditions on the rule 224. Each set of 25 has a different object style and/or color gradient selection.
AI 1-25

AI 26-50

AI 51-75

AI 76-100

AI 101-125

AI 126-150

AI 151-175

AI 176-200

AI 201-225

AI 226-250

AI 251-253

Fun with Conway's "Game of Life" in 3D -> nD and Music

I’ve integrated a few more demonstrations, see below for descriptions and pics..

Conway’s “Game of Life” in 3D -> nD
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Music related
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Gematria
Gematria-snap

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The #13 pane (Chords) will address the psychology of the mathematical beauty of music. The 2D pane presents Emmanuel Amiot and Fernand Brunschwig’s  Pythagorean Meantone And Equal Temperament Musical Scales, while the 3D pane shows Drew Lesso’s 3D Lambdoma matrix.

The #14 pane (Gematria) will address Theological Number Theory in the form of Hebrew gematria, H4, and Tori. This sociology pane deals with the idea of Old Testament Hebrew and New Testament Koine Greek Gematria. The histogram shows the distribution of words used in the Bible according to their gematria value in Hebrew or Greek. Each word in each verse is selectable and shown in the distribution. Each word in the verse is colored by their value in Hebrew (if Old Testament), Greek and English.
Note: Hebrew is properly presented from right to left.

The #15 pane (QC) will address Quantum Computing in the context of MyToE. It uses several demonstrations… Qubits On The Poincare-Bloch Sphere,  Quantum Logic Gates Roots Exponents And Eigensystems and Quantum Fourier Transform Circuit by Rudolf Muradian

The #16 pane (AI) will address Artificial Intelligence, an nD version of Conway’s “Game of Life” and Cellular Automata in the context of MyToE. It is an integration of Daniel de Souza Carvalho’s demonstration

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Adding sociology and psychology panes to VisibLie_E8 MyToE Demonstration

These are more personal interest than hard math/science as the other panes – but they are, IMO, interesting asides.

The sociology pane deals with the idea of Old Testament Hebrew and New Testament Koine Greek Gematria. The histogram shows the distribution of words used in the Bible according to their gematria value in Hebrew or Greek. Each word in each verse is selectable and shown in the distribution. Each word in the verse is colored by their value in Hebrew (if Old Testament), Greek and English.
Note: Hebrew is properly presented from right to left.

Gematria-snap

outGematria3

outGematria2

The psychology pane deals with the idea of the mathematical beauty of music.

The list of 18 panes is now:
1) Math:____ Chaos/Fibr/Fractal/Surface: Navier Stokes/Hopf/MandelBulb/Klein
2) Math:____ Number Theory:_________ Mod 2-9 Pascal and Sierpinski Triangle
3) Math:____ Geometric Calculus:______ Octonion Fano Plane-Cubic Visualize
4) Math:____ Group Theory:__________ Dynkin Diagram Algebra Create
5) Math:____ Representation Theory:___ E8 Lie Algebra Subgroups Visualize
6) Physics:__ Quantum Elements:______ Fundamental Quantum Element Select
7) Physics:__ Particle Theory:_________ CKM(q)-PMNS(ν) Mix CPT Unitarity
8) Physics:__ Hadronic Elements:______ Composite Quark-Gluon Select Decays
9) Physics:__ Relativistic Cosmology:___ N-Body Bohmian GR-QM Simulation
10) Chemistry: Atomic Elements:_______ 4D Periodic Table Element Select
11) Chemistry:Molecular Crystallography: 4D Molecule Visualization Select
12) Biology:_ Genetic Crystallography:___ 4D Protein/DNA/RNA E8-H4 Folding
13) Biology:_ Human Neurology:________ OrchOR Quantum Consciousness
14) Psychology:Music Theory & Cognition: Chords, Lambdoma, H4, and Tori
15) Sociology: Theological Number Theory: Ancient Sacred Text Gematria
16) CompSci: Quantum Computing:______ Poincare-Bloch Sphere /Qubit Fourier
17) CompSci: Artificial Intelligence:_______ nD Conway’s Game Of Life
18) CompSci: Human/Machine Interfaces:_ nD Human Machine Interface

A 3D projection of E8 (binary coordinates) to Pascal triangle related columns

This uses “binary” vertices of E8 (all 0’s or 1’s) from the Pascal triangle / Clifford algebra construction.
Notice the 8 excluded “generator” vertices are the axis 1-8, which show the projection orientation {X,Y,Z} vectorx. These sometimes are added to the 240 vertex “dimension count” of E8. There are a number of overlaps in the vertices in some columns, which are indicated by the color of the vertex.

pascal-e8

Just for good measure, here is a 2D 16×16 matrix projection of the same “binary” E8 vertices. It shows the particle physics label with the E8 vertex number.
BinSquare

Playing around visualizing non-crystallographic DNA/RNA

I’ve got interaction between the DNA/RNA protein visualizations (e.g. “1F8V- PARIACOTO VIRUS REVEALS A DODECAHEDRAL CAGE OF DUPLEX RNA) with the VisibLie_E8 projections of crystallographic E8 to non-crystallographic H4 (and to dodecahedral H3 in 3 dimensions, of course).

These pics are a simple (naive) merge of the D6 projected using the E8 to H4 folding matrix and the Protein DB at http://www.rcsb.org/ for 1F8V).

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DNAscreen

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