Confronting Finsler space-time with experiment

TL;DR

This paper investigates Finslerian modifications to space-time that incorporate Lorentz invariance violations, deriving a modified dispersion relation and testing it against experiments, ultimately constraining deviations at an extremely precise level.

Contribution

It introduces a Finslerian framework for Lorentz invariance violation and tests its predictions against high-precision experiments.

Findings

Finslerian deviations from Minkowski space are constrained to less than 10^{-16}.

A modified dispersion relation consistent with Finsler geometry is derived.

Experimental data strongly limits Finslerian space-time deviations.

Abstract

Within all approaches to quantum gravity small violations of the Einstein Equivalence Principle are expected. This includes violations of Lorentz invariance. While usually violations of Lorentz invariance are introduced through the coupling to additional tensor fields, here a Finslerian approach is employed where violations of Lorentz invariance are incorporated as an integral part of the space-time metrics. Within such a Finslerian framework a modified dispersion relation is derived which is confronted with current high precision experiments. As a result, Finsler type deviations from the Minkowskian metric are excluded with an accuracy of 10^{-16}.