Physics in a general length space-time geometry: Call for experimental revision of the light speed anisotropy

TL;DR

This paper proposes a phenomenological model to detect deviations from Riemannian geometry via light speed anisotropy measurements, using an asymmetrical ring resonator to test for potential anisotropies in space-time.

Contribution

It introduces a novel experimental setup with an asymmetrical ring resonator to directly measure deviations from Riemann geometry in space-time.

Findings

Potential to detect light speed anisotropy on Earth and satellites

Constraints on deviations from Riemann geometry based on current technology

Proposal for experimental revision of fundamental physics assumptions

Abstract

We present a phenomenological model for the nature in the Finsler and Randers space-time geometries. We show that the parity-odd light speed anisotropy perpendicular to the gravitational equipotential surfaces encodes the deviation from the Riemann geometry toward the Randers geometry. We utilize an asymmetrical ring resonator and propose a setup in order to directly measure this deviation. We address the constraints that the current technology will impose on the deviation should the anisotropy be measured on the Earth surface and the orbits of artificial satellites.