Lorentz-violation-induced arrival time delay of astroparticles in Finsler spacetime

TL;DR

This paper investigates how Lorentz violation affects the arrival times of astroparticles within Finsler geometry, extending previous models in standard cosmology to a more general geometric framework.

Contribution

It introduces a Finsler geometric approach to analyze Lorentz-violation-induced time delays of astroparticles, generalizing prior models in standard cosmology.

Findings

Arrival time delay formula derived in Finsler spacetime

Results consistent with Jacob and Piran's standard cosmology model

Provides a geometric framework for Lorentz violation effects

Abstract

Finsler geometry is a natural and fundamental generalization of Riemann geometry. The Finsler structure depends on both coordinates and velocities. We present the arrival time delay of astroparticles subject to Lorentz violation in the framework of Finsler geometry, and the result corresponds to that derived by Jacob and Piran in the standard model of cosmology.