B-QUARKS, WI AND KLEIN BOTTLE

Abstract

The quark geometry is postulated in an octonian world since they are not visible. For the weak interaction the octonians double up the coordinates for energy scalars. The rgb-gravitons are postulated for nucleon tetrahedrons with a three quarks dihedral D3. New finite dihedral symmetries guide also the neutrino oscillations. Thea are added to the standard models U(1)xSU(2)xSU(3) and the CPT symmetry of physics. Eight energies or charges are postulated: color, electrical, mass charges, heat, electromagnetic/light, kinetic, magnetic, rotational/angular energies. A compass with a needle and circle U(1) sets most six valued cycles in different form: six color or electrical or mass charges. Gleason frames are new quantum measuring apparati and carry three real or complex or quaternionic scalar values on their spin-like orthogonal base 3-dimensional frame. They are for the measurement Copenhagen interpretation. Wave descriptions for energy systems are on the last octonian coordinate which introduces through the U(1) circle exponential or other functional descriptions for physical systems.