Spin-Gauge Theory of Gravity with Higgs-field Mechanism

TL;DR

This paper introduces a Lorentz-covariant Yang-Mills spin-gauge theory with a function-valued Higgs field, aiming to unify gravity with gauge theories and recover Einstein's gravity in a classical limit.

Contribution

It presents a novel spin-gauge framework where Dirac matrices act as a non-scalar Higgs field, leading to a new approach to gravity within gauge theory.

Findings

Symmetry breaking yields a Lorentz-covariant Higgs-field gravity.

In the classical limit, the theory reduces to linearized Einstein gravity.

The approach unifies gauge theory and gravity through a Higgs mechanism.

Abstract

We propose a Lorentz-covariant Yang-Mills spin-gauge theory, where the function valued Dirac matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$. After symmetry breaking a non-scalar Lorentz-covariant Higgs-field gravity appears, which can be interpreted within a classical limit as Einstein's metrical theory of gravity, where we restrict ourselves in a first step to its linearized version.