New theory of Lorentz violation from a general principle

TL;DR

This paper introduces a new fundamental theory linking a principle of physical independence to Lorentz violation, replacing derivatives with co-derivatives and incorporating a Lorentz violation matrix into the standard model.

Contribution

It proposes a novel theoretical framework connecting background manifold independence to Lorentz violation, leading to a modified standard model Lagrangian.

Findings

Derivation of a new Lagrangian with Lorentz violation terms

Introduction of a Lorentz invariance violation matrix

Systematic approach to study Lorentz violation effects

Abstract

We report that a general principle of physical independence of mathematical background manifolds brings a replacement of common derivative operators by co-derivative ones. Then we obtain a new Lagrangian for the ordinary minimal standard model with supplementary terms containing the Lorentz invariance violation information measured by a new matrix, denoted as the Lorentz invariance violation matrix. We thus provide a new fundamental theory to study Lorentz invariance violation effects consistently and systematically.