vegevore - Physics Page 6:

William J. S. Livingstone (Bill), B.Sc., M.Math vegevore@yahoo.com Particles: (New: 2008 Oct 08) The image below tries to describe the particles and fields in a geometric way. Note how the image projection maps to the charge attribute. The image shows how one can have 4 x 3 = 12 each of quarks (q) and leptons (l). Three cubes associate with the vertexes of the triangles, i.e., the cubes and triangles are different aspects of a larger structure, sort of a truncated (prismatic) hypercube. The color force is seen at another level to the electromagnetic force. The weak force is also noted, which may naturally (?) overlap the e-m force, as the strong may in places. But the forces as shown may not be in agreement with nature. Consider a set of (commutative) operators, A, D, and B (see image above): A: from particle-Antiparticle axis and a = <p|A|p>, B: from Baryon-lepton axis and b = <p|B|p>, D: from Doublet axis and d = <p|D|p>. Then: q = -a/6-d/2+b/3, |anti-p> = A D B |p>, and x = 2a/3+b/3. Note how neutron decay can be depicted as a d particle to its nearest 3 neighbours. Note also how it is not clear whether nu or anti-nu is closer hence handedness! X name a d b Q +1 up +1 -1 +1 +2/3 +1 down +1 +1 +1 -1/3 +1/3 electron +1 +1 -1 -1 +1/3 neutrino +1 -1 -1 0 -1 anti-up -1 +1 -1 -2/3 -1 anti-down -1 -1 -1 +1/3 -1/3 positron -1 -1 +1 +1 -1/3 anti-nu -1 +1 +1 0