SU(2) $\times$ U(1) Gauge Gravity

TL;DR

This paper introduces a Lorentz-covariant Yang-Mills spin-gauge theory with an $SU(2) imes U(1)$ symmetry, leading to a gravity model that resembles Einstein's linearized general relativity after symmetry breaking.

Contribution

It presents a novel gauge-theoretic approach to gravity using a non-scalar Higgs field within a Lorentz-covariant framework, connecting gauge theory with classical gravity.

Findings

Derivation of a Lorentz-covariant gravity model from gauge theory.

Interpretation of the Higgs field as a gravity-related field.

Reduction to linearized Einstein gravity in the classical limit.

Abstract

We propose a Lorentz-covariant Yang-Mills ``spin-gauge'' theory, where the function valued Pauli matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$ of the 2-spinors describing particle/antiparticle states. 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.