Finite Symmetries, Orientations of Bases, Extended CPT for Gravity and the Standard Model

Abstract

Gudrun Kalmbach

The author suggested three 8-dimensional vector spaces with different multiplications and number of generators for SI with the SU(3) 8 gluon GellMann matrices λk, the signed quaternion SU(2) generators (Pauli matrices σj, j = 1,2,3 and id) of the weak interaction WI and newly added is in the MINT-Wigris project the octonians which have seven Gleason measuring frames GF, not only the weak Pauli spin GF. Developing a unified theory for the four basi interactions the doubling of quaternion numbers to octonians is necessary.

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