Constraints on Nonmetricity from Bounds on Lorentz Violation

TL;DR

This paper uses high-precision Lorentz violation tests to set the first experimental constraints on 40 components of spacetime nonmetricity, reaching sensitivities around 10^{-43} GeV.

Contribution

It provides the first experimental bounds on spacetime nonmetricity components using Lorentz violation data.

Findings

Constraints on 40 nonmetricity components at ~10^{-43} GeV

Demonstrates experimental sensitivity to spacetime nonmetricity

Links nonmetricity to observable Lorentz violation effects

Abstract

Spacetime nonmetricity can be studied experimentally through its couplings to fermions and photons. We use recent high-precision searches for Lorentz violation to deduce first constraints involving the 40 independent nonmetricity components down to levels of order $10^{-43}$ GeV.