An algebraic approach to QCD and superconduction

Abstract

The SU3 spin connections in an Elliptic Space are found to provide the two vortices at an angle of ω = 120 degrees shown in Fig.3.Then by relating the vertices of the 24-cell,labeled by 0, ±1 ,ω , ω 2 to quarks and leptons,we can show that they all occupy elliptic spaces. In particular Fig.3 could illustrate a Cooper pair of electrons,if cold enough.Otherwise a single electron, which can inhabit either vortex core, may act as a link in a superconducting chain on a nanowire at a finite temperature.Furthermore we will find that the three quarks in a proton,neutron or strange particle are distinguished by a rotation through ω .T hus if we consider the 6 paths of fig.3 to be two sets of gluons labeled by r,b,g and r, b, r and add the possible rotations between quarks we can incorporate gluon bindings such as rb, rg and so on, which are a basis for the SU3 symmetry underlining QCD.