Isogravity: Toward an Electroweak and Gravitational Unification

TL;DR

This paper proposes a novel model unifying electroweak interactions with gravity using a single connection variable, avoiding the need for a predefined space-time metric, and demonstrating emergence of known particles through symmetry breaking.

Contribution

It introduces a metric-independent gauge theory that unifies electroweak and gravitational interactions via an $ ext{SL}(2, ext{C})$ connection, with symmetry breaking leading to known particles.

Findings

Electroweak and gravity emerge with their massless particles

Unification achieved without specifying a space-time metric

Model demonstrates symmetry breaking yields known degrees of freedom

Abstract

We present a model that unites the electroweak interaction with general relativity without specifying a space-time metric. This is made possible by embedding the kinetic terms for gravity and electroweak theory using one $\SL$ connection variable. The gauge theory is specified without relying on a space-time metric. We show that once a symmetry breaking mechanism is implemented that selects a global time-like direction, the electroweak theory and general relativity emerges with their associated massless degrees of freedom; the spin 1 vector boson and the spin 2 graviton.