Some of the works on this site can be custom made into personalized artwork for sale. See the “E8 Math, Science and Art” Gallery Sales at:
||Latest: 05/30/2022 (135 Mb). This is a Mathematica version 13 demonstration (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.
||Latest: 05/30/2022 (11 Mb). This is a lite version of the full Mathematica version 13 demonstration. 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.
||05/19/2020 (40 Mb). My latest ToE paper-3D Polytope Hulls of E8-4_21, 2_41, and 1_42
||10/19/2019 (4 Mb). A recent paper-Unimodular rotation of E8 to H4 600-cells
|E8 Particle Assignment Symmetry
||03/24/2015. An .html version of a .ppt (or .pps or .pdf) that explains the detail of the particle assignment symmetries contained in MyToE. A complete algorithmically assigned particle list is here.
||Latest: 12/19/2014. This paper presents detail on the matrix I found several years ago (as shown on the Wikipedia Quasicrystal and Rhombic Triacontahedron pages), which relates the crystallographic E8 to the non-crystallographic H4 (600 cell). It also presents various techniques for visualizing a split real even E8 representation in 2 and 3 dimensions using this E8 to H4 folding matrix. It shows its importance in the analysis of theoretical physics models and grand unified theories that are related to these structures.
|Integrated E8, Binary, Octonion
||An .html version of a .ppt (or .pps or .pdf) (15MB) that explains the detail of the content of Fano.pdf. It outlines the relationships in the integration of E8 with Octonions, Binary, Particles, NKS, and the Periodic Table of Elements.
||Latest: 12/25/2015. A 241 page pdf file (15MB) with the 480 octonion permutations with Fano planes and multiplication tables, including the split octonion. These are organized into “flipped” and “non-flipped” pairs associated with the 240 assigned particles to E8 vertices. octonionG2-nonNull.pdf is a 481 page (15MB) file available that adds the G2 automorphisms for each multiplication table (including splits).
||A small Mathematica notebook for octonion math. It also has the ability to compare/contrast the more limited Mathematica based Quaternion logic as it applies to using the Cayley-Dickson doubling procedure for octonions.
||Fully interactive paper discussing the potential to reduce the Standard Model to 8 elemental particles. This requires the free Mathematica CDF plugin (50Mb). If you don’t want to use CDF, here is a DynkinParticleReductions.pdf (25Mb).
||A .pdf of the Mathematica notebook that summarizes how my ToE integrates the latest results from both the Planck spacecraft survey and the LHC Higgs discovery. It highlights minor changes to the original papers from ’98-’07 which predict an expanding (Hubble) and accelerating universe, as well as the Higgs boson.
||My ToE paper – full detail of a framework for a ToE based on a new look at fundamental constants, units-of-measure, and the dimensionality of time, mass, and charge. This version ToEnb.pdf. Here is the same paper above validated w/Mathematica
|VisibLie_E8 vs. EPE
||Feature set comparison of Lisi’s Elementary Particle Explorer (EPE) and ToE_Demonstration (above, aka. VisibLie_E8, E8Viewer, or E8Flyer). This is also a good source of instruction for interacting with the main VisbLie E8 demo for pane 5- E8 Representation Theory (
||“E8 Math, Science and Art” Gallery Exhibit. (10Mb) or on the web at E8 Art Prints. See Gallery.pdf for more “E8 Math, Science and Art” Gallery images. (6Mb)
|What time is it.pdf
||A TheoryOfEverything in one .ppt slide
|My Tools of the Trade
||I modified FormCalc to work on WinTel Mathematica platforms
||Mathematica’s PhysicalConstants.m organized w/ascending sort priority for fundamental, defined, measured, then derived values. Updated to 2010 CODATA and with the latest Higgs discovery. Includes new Units.m and PhysicalConstantErrrors.m to define fundamental measured physical constant std. errors also w/ascending sort priority for defined and smaller errors.
Dedicated to the pursuit of beauty and Truth in Nature!