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.
Please click here for the interactive Buddhist (Tao/Confucian) I-Ching demonstration shown below.
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:
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 MathematicaCDF 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.
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 MathematicaCDF 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).
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
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:
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.
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).
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.
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.
Code snippets showing the CKM and PMNS matrix calculations based on the UI.