Projected from E8 to 6-Cube and then to Rhombic Triacontahedron using 3 of 4 rows of the E8-to-H4 folding matrix.
and a Tesseract for good measure…
Category Archives: Physics
Opinion- Pentaquarks
The recent announcement for the potential LHC realization of composite particle resonance of the pentaquark (or meson-baryon molecule) is interesting. This, along with a prior confirmation of the dimeson tetraquark Z(4430), and prognostications for hexaquarks (or dibaryons), expand the “zoo” of composite particles now numbering in the thousands.
If by chance we can use these new discoveries to discern the mathematical pattern (symmetry) well enough to predict the particle masses, lifetimes, branching ratios and CKM (quark) PMNS (neutrino) mixing matrix ratios – that would be COOL!
Yet, given the current size of this zoo of particles, it seems that adding a few more bags of quarks to the mix may not do the trick, but I am always hopeful.
IMNSHO (In My Not So Humble Opinion ;-)… it is more a task of “naming the animals”.
or in Ernest Rutherford’s words:
“All science is either physics or stamp collecting.”
“The pentaquark search may be physics’ version of ‘stamp collecting'”. JGM
Hexaqark with “Physics” shapes:
Decays:
My attempt to organize the stamp collection of chemistry into a 4D periodic table:
My E8 F4 projection and so called "Sacred Geometry"
Please note, this is about the GEOMETRY used in what has come to be called “Sacred Geometry”. Upon further investigation, along with the Kabbalah’s “Tree of Life”, it seems even the Jewish “Star of David” (Solomon) is medieval and may not be sourced in authentic ancient Abrahamic theology.
As it stands, the so-called “sacred” origin of these, including the pentagon that shows up in the icosahedral/dodecahedral Platonic solids due to the Sqrt(5) Golden Ratio (Phi) relationship within my E8 to H4 folding, is likely medieval and mostly pagan. I am merely pointing out that E8 contains the geometry that many find “interesting” for whatever reason, and am not promoting the underlying cults that use them.
Video (Best in HD):
My E8 F4 projection w/blue triality edges and physics particle assignments:
My E8 F4 projection with 6720 edge lines:
My E8 F4 projection rectified:
Star Of David Overlay:
Metatron’s Cube Overlay:
Flower of Life Overlay:
Kabbalah Tree of Life Overlay:
Copyright J Gregory Moxness 2015
Rectified E8 and F4 Triality (Original Work)
WikiMedia Commons source images:
Metatron’s Cube (User:Barfly2001)
Flower of Life (User:Life_of_Riley)
Tree of Life (User:AnonMoos)
A new Lisi Arxiv paper along with a new E8 projection
For Lisi’s latest ideas on a “Lie Group Cosmology (LGC)” ToE, see http://arxiv.org/abs/1506.08073.
Be warned, it is over 40 heavy pages.
He also posted a new projection on FB.
He uses the (H)orizontal and (V)ertical projection vectors of:
H = {.12, -.02, .02, .08, .33, -.49, -.49, .63};
V = {-.04, .03, .13, .05, .20, .83, -.45, .19};
Here it is rendered with H and V reordered to match in VisibLie_E8 tool:
H/V order is {2, 3, 4, 7, 1, 6, 5, 8};
Note: the particle assignments in my VisibLie_E8 tool (as in the Interactive visualizations on this website) are not the same and have different triality rotation matrices.
The pic below has a slightly altered projection that creates a bit more hexagonal symmetry and integer projections (without deviating more than .05 off his coordinates):
Note: vertex colors indicate the number of overlapping vertices.
This uses H/V projection vectors (reverse ordered back to his coordinate system).
Symbolic:
H={3 Sqrt[3]/40, 0, 0, 3 Sqrt[3]/40, 1/3, 1/2, 1/2, -2/3};
V={-3/40, 0, 3/20, 3/40, 3/20, -4/5, 1/2, -3/20}};
Numeric:
H={.13, 0., 0.,.13,.33,.5, .5,-.66`};
V={-.075, 0., .15, .075, .15,-.8, .5,-.15};
Here is Lisi’s version with my coordinates:
Here is a version of the full hexagonal (Star of David) triality representation using coordinates I found with the same process used above. Particle color, shape and size are based on the assigned particle quantum numbers (spin, color, generation). There are 86 trialities indicated by blue triangles.
Projection vectors (in my “physics” coordinate system) are:
H={2-4/Sqrt[3],0,0,-Sqrt[(2/3)]+Sqrt[2],0,0,Sqrt[2],0};
V={0,-2+4/Sqrt[3],Sqrt[2/3]-Sqrt[2],0,0,0,0,-Sqrt[2]};
See also a rectified version of this, where the particle overlaps show the inner beauty of E8!!
The underlying quantum symmetry patterns within this coordinate system are:
Hyperbolic E8 Visualizations
Beginning to play with visualizing E8 and subgroups using hyperbolic Poincare projections and tiling – in 2D/3D/nD
Copyright 2015 J Gregory Moxness
The latest VisibLie_E8
It now has 3D clipping (and slicing) plane control sliders on the the left side controls within a new multiplexed slider control. I also added the 2D I-Ching and 2D/3D Sanskrit Sri Yantra visualizations.
Pascal Triangle and Mod 2-9 Sierpinski Maps
I decided to take a quick dive into an interesting idea from Peter Williams related to how the modulus of binomial numbers are related to the Pascal Triangle. I’ve added this to the VisibLie_E8 viewer as well.
Here is a screenshot:
Here is the code I wrote to produce the output below:
Mod 9:
Mod 8:
Mod 7:
Mod 6:
Mod 5:
Mod 4:
Mod 3:
Mod 2:
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.
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)-:
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:
More 3D Conway’s Game of Life videos and pics
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!
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.
