The E8 is an awesome theory that has Geometry at its foundation. The above image has the ability to explain the curve of space and time. And the image below (at its symmetry axis where you see all the particles at once) offers a unified theory of everything.
Same image mapped into line:
Made into a 3d model:
That model shown in perspective:
[Either called the 64 hexagrams of the I Ching or the 64 dancing Yoginis]
We have a beautiful closeup:
E8 / Spin(16) = 64 + 64
The Octonionic structure of (OxO)P2 gives it a natural torsion structure
for which 64 looks like ( 8 fermion particles ) x ( 8 Dirac Gammas )
and 64 looks like ( 8 fermion antiparticles ) x ( 8 Dirac Gammas )
The Octonionic structure of (OxO)P2 gives it a natural torsion structure
for which 64 looks like ( 8 fermion particles ) x ( 8 Dirac Gammas )
and 64 looks like ( 8 fermion antiparticles ) x ( 8 Dirac Gammas )
Spin(16) / ( Spin(8) x Spin(8) ) = 64
Spin(16) is rank 8 and has 8+112 = 120 dimensions and looks like a 64-dim Base Manifold
whose curvature is determined by a 28+28=56-dim Gauge Group Spin(8) x Spin(8)
The 64-dim Base Manifold looks like (8-dim Kaluza-Klein spacetime) x (8 Dirac Gammas)
Spin(16) is rank 8 and has 8+112 = 120 dimensions and looks like a 64-dim Base Manifold
whose curvature is determined by a 28+28=56-dim Gauge Group Spin(8) x Spin(8)
The 64-dim Base Manifold looks like (8-dim Kaluza-Klein spacetime) x (8 Dirac Gammas)
No comments:
Post a Comment