High Energy Particle Physics

    

Generators of Quantum Fields - Gravitation and Fermion Sector

Authors: Peter Hickman

G matrices are matrices with single entries 1,i. It is shown that linear sums of G matrices generate the SU(n), SO(n) generators. The Kronecka sums of the unitary representations of so(n) and su(n) results in an expression for the dimension of a SU(N) group. The spatial dimension n is found to be restricted to 3 dimensions. It is shown that the allowable unitary representations of so(3), are the spin spaces of spin ½,1. It is shown that there are 3 generations of chiral electroweak doublets of quarks and leptons. Exponentiation of differential operators acting on spinors results in the Lagrangians of Gravitation with Dark Energy and the Fermion sector of the Standard Model.

Comments: 4 Pages.

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Submission history

[v1] 2016-03-04 05:35:17

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