Mass Mixing, the Fourth Generation, and the Kinematic Higgs Mechanism

TL;DR

This paper presents a novel approach to constructing chiral fermion mass terms using Dirac-Kahler spinors, revealing a connection to four fermion generations and the effects of quantization on mass mixing.

Contribution

It introduces a method to formulate fermion masses with Dirac-Kahler spinors and analyzes how quantization influences mass spectrum and mixing.

Findings

Classical DK spinors are equivalent to four Dirac fermion generations with equal mass.

Quantization breaks gauge symmetry and lifts mass degeneracy.

A non-trivial mass mixing matrix emerges from quantization effects.

Abstract

We describe how to construct chiral fermion mass terms using Dirac-Kahler (DK) spinors. Classical massive DK spinors are shown to be equivalent to four generations of Dirac spinors with equal mass coupled to a background U(2,2) gauge field. Quantization breaks U(2,2) to U(2)xU(2), lifts mass spectrum degeneracy, and generates a non-trivial mass mixing matrix.