Towards an Action Principle Unifying the Standard Model and Gravity

TL;DR

This paper proposes a minimal geometric unification of gravity and gauge theories using a Clifford-algebraic invariant, avoiding extra dimensions and explicit symmetry breaking, and ensuring ghost freedom.

Contribution

It introduces a novel geometric invariant that unifies the structure and normalization of gravity, Yang-Mills, and fermion terms without tuning or extra dimensions.

Findings

A single invariant fixes relative normalizations of fundamental theories.

Ghost freedom in gravity sector is achieved without tuning.

Unification is achieved without explicit symmetry breaking.

Abstract

A single geometric invariant fixes the relative normalization and structure of gravity, Yang-Mills theory, and fermion kinetic terms -- including ghost freedom in the gravitational sector -- without tuning. Our results establish a minimal geometric route to unification that does not rely on extra dimensions or symmetry breaking by hand. Unlike previous gauge-gravity constructions, the relative normalizations and ghost freedom emerge from a single Clifford-algebraic invariant, without explicit symmetry breaking.