Tag Archives: CDF

VisibLie E8: 3D Perfect Sri Yantra & 2D I-Ching Cloud Demonstrations

I’ve published a version of these demonstrations in the cloud, so no Mathematica installation is needed.

Please click here for the interactive Hindu Sri Yantra demonstration shown below.

Image of the User Interface (UI) of the 3D Sri Yantra demonstration

Please click here for the interactive Buddhist (Tao/Confucian) I-Ching demonstration shown below.

Image of the User Interface (UI) of the 2D I-Ching demonstration.

The Mathematica Cloud version doesn’t work in 3D as well as using a local .NB version with the free Mathematica CDF player. You can File->Download the local demonstration and use it after installing the CDF player found here.

Of course, the full licensed Mathematica Notebook works the best for this. See this file here for the Hindu 3D Sri Yantra and here for the Buddhist 2D I-Ching notebooks.

There is even a full pane 15) Sociology: Theological Number Theory: Ancient Sacred Text Gematria here.

Here is a list of other Interactive Demonstrations within my VisibLie-E8 package:

A Theory of Everything Visualizer, with links to free Cloud based Interactive Demonstrations:

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) Mixing_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, CA MIDI,& Tori

15) Sociology: Theological Number Theory: Ancient Sacred Text Gematria

16) CompSci: Quantum Computing: Poincare-Bloch Sphere/Qubit Fourier

17) CompSci: Artificial Intelligence: 3D Conway’s Game Of Life

18) CompSci: Human/Machine Interfaces: nD Human Machine Interface

Updated My ToE Demonstrations to Wolfram Language (aka. Mathematica) 11

Please see the latest in .nb, .cdf demonstrations files and web interactive pages.

ToE_Demonstration-Lite.cdf Latest: 08/15/2016 (10 Mb). This is a lite version of the full Mathematica version 11 demonstration in .CDF below (or as an interactive-Lite web page) (4 Mb). It only loads the first 8 panes and the last UI pane which doesn’t require the larger file and load times. It requires the free Mathematica CDF plugin.

This version of the ToE_Demonstration-Lite.nb (13 Mb) is the same as CDF except it includes file I/O capability not available in the free CDF player. This requires a full Mathematica license.

ToE_Demonstration.cdf Latest: 08/15/2016 (110 Mb). This is a Mathematica version 11 demonstration in .CDF (or as an interactive web page) (130 Mb) takes you on an integrated visual journey from the abstract elements of hyper-dimensional geometry, algebra, particle and nuclear physics, Computational Fluid Dynamics (CFD) in Chaos Theory and Fractals, quantum relativistic cosmological N-Body simulations, and on to the atomic elements of chemistry (visualized as a 4D periodic table arranged by quantum numbers). It requires the free Mathematica CDF plugin.

This version of the ToE_Demonstration.nb (140 Mb) is the same as CDF except it includes file I/O capability not available in the free CDF player. This requires a full Mathematica license.

(The CDF player from Wolfram.com is still at v. 10.4.1, so still exhibits the bug I discovered related to clipping planes/slicing of 3D models).

Revised VisibLie_E8 viewers released for both Mathematica 9.01 and 10.02 ! Free (web interactive & stand-alone .CDF) and Licensed (.nb)

This version has bug fixes, enhanced performance by using faster memory localization, parallel CPU, OpenCL GPU, and/or compiled processing for functions that are compute intensive.

I also put the default comet path metadata for “CometC2007K5Lovejoy” in the Recombination (Solar System) epoch of the NBody pane.

This version has a more extensive 2D/3D fractal collection as well, enjoy!

If anyone is interested, I also have versions deployed on the Wolfram Cloud, so you can interact via your Android or iPhone. If you’re interested in these or full source code for working with SuperLie and LieArt packages – just ask.

BTW – I try to do reasonable regression testing on all these versions, but if you are using my stuff (and/or find a bug), please give me a shout at: JGMoxness@TheoryOfEverything.org

Hopf Fibration and Chaotic Attractors, etc.

I’ve added some new features to my VisibLie_E8 ToE Demonstration. Some of it comes from Richard Hennigan’s Rotating The Hopf Fibration and Enrique Zeleny’s A Collection Of Chaotic Attractors . These are excellent demonstrations that I’ve now included with the features of my integrated ToE demonstration, since they are not only great visualizations, but relate to the high-dimensional physics of E8, octonions and their projections. This gives the opportunity to change the background and color schemes, as well as output 3D models or stereoscopic L/R and red-cyan anaglyph images.

outChaos3

Hopf3Dstereo

outChaos2

outChaos1

I’ve also used David Madore’s help to calculate the symbolic value of the E7 18-gon and 20-gon symmetries of E8. It uses the nth roots of unity (18 and 20, in this case) and applies a recursive dot product matrix based on the Weyl group centralizer elements of a given conjugacy class of E8. I ended up using a combination of Mathematica Group Theory built-in functions, SuperLie and also LieART packages. These symbolic projection values are:

18-20-gonProjection

outE802

20-gon

Zeleny's Hadron Decay Wolfram Demonstration added

This weekend I integrated a fantastic demonstration by Zeleny which allows the visualization of the composite Quark particle decays. I’ve integrated it into the sixth (Hadron) pane which starts with Blinder’s demonstration to visualize the composite Quark-Gluon particles. These demonstrations are extended by allowing the selection of 2 Quark Mesons, 3 Quark Baryons and recently discovered 4 and 6 Quark Hadrons and also drives content of the E8 sub group projection pane (#3). I also added a query to show all experimentally discovered composite Meson/Baryon particles with the same quark content and added a decay mode button when decays are in Wolfram’s ParticleData Group curated data set.

decays

hadrons

I've added an N-Body Gravitational Simulation Pane and enhanced the Composite Quark Hadron Model Pane

The N-Body Gravitational Simulation (not yet complete) uses Mathematica’s OpenCL GPU computing capability to simulate standard (Solar System), GR (Black Hole Centered Galaxy formation), Large Scale Universal Structure, and Quantum GR (Big Bang Inflationary) physics.

I’ve consolidated the Meson/Baryon panes into a single Hadron pane that now includes the formation of the recently validated TetraQuark Hadrons.

Please see ToE_Demonstration.cdf or as an interactive web page) that takes you on an integrated visual journey from the abstract elements of hyper-dimensional geometry, algebra, particle and nuclear physics, and on to the atomic elements of chemistry. It requires the free Mathematica CDF plugin (25 Mb). ToE_Demonstration.nb is the same as CDF except it includes file I/O capability not available in the free CDF player. This requires a full Mathematica license (25 Mb).

outNBody-1b

outNBody-1a

QM-GR-N-Body

Meson

Baryon

TetraQuark

Added PMNS and CKM particle mixing matrix calculations to ToE_Demonstration.CDF

I’ve improved on a great Wolfram demonstration from Balázs Meszéna on Neutrino Oscillations by adding capabilities to view both the PMNS and CKM unitary triangle matrices, print and reference my ToE Neutrino mass predictions, which now accomodate the Koide relationships in particle masses.

Check out the new demonstrations using free interactive web plugin , .CDF, or .NB (for licensed Mathematica users) and social media integrations for comments, pages and posts.

This new pane (#5) presents the Unitarity of CP=T violations by combining the Lepton (Neutrino) Pontecorvo-Maki-Nakagawa-Sakata matrix (PMNS) with the Quark Cabibbo-Kobayashi-Maskawa (CKM) mixing matrix calculations through the Quark-Lepton Complementarity (QLC).

I am also working to incorporate the Koide particle mass relations to MyToE predictions.

ToE_Demonstration

JGM_ToE-15t

Code snippets showing the CKM and PMNS matrix calculations based on the UI.

JGM_ToE-15v

JGM_ToE-15u

Another look at integrating the Pascal Triangle to Clifford Algebra, E8 Lie Algebra/Groups, Octonions and Particle Physics Standard Model

Pascal-g

Modified Lisi split real even E8 particle assignment quantum bit patterns:

Lisi_Particle_Assignments

Assigning a specific mass, length, time, and charge metrics based on new dimensional relationships and the Planck constant (which defines Higgs mass).

ToEsummary

The split real even E8 group used has been determined from this simple root matrix (which gives the Cartan matrix upon dot product with a transpose of itself):

DynkinE8Full.svg

This Dynkin diagram builds the Cartan matrix and determines the root/weight/height with corresponding Hasse diagrams.

E8Hasse

E8HassePoset.svg