Redshift Anomalies with Universal Free-Fall
Michael A. Hohensee, Holger Mueller

TL;DR
This paper introduces a simple model where particle masses vary with gravitational potential, leading to redshift anomalies that are not constrained by existing free-fall or Lorentz invariance tests, and proposes new experiments to detect these effects.
Contribution
The paper presents a novel model linking mass variation to redshift anomalies, independent of traditional equivalence principle tests.
Findings
Redshift anomalies can occur without violating UFF or LLI.
Existing tests do not constrain the proposed mass variation effects.
Proposes new experiments to detect these anomalies.
Abstract
For most theories which parametrize modifications of General Relativity, including those which violate the equivalence principle, gravitational redshift tests typically offer weaker constraints on such test parameters than do precision measurements of the universality of free fall (UFF) and local Lorentz invariance (LLI). Although redshift anomalies are often linked with violations of UFF or LLI, they do not have to be. We offer a simple model in which particle masses anomalously vary with the gravitational potential. This generates gravitational redshift anomalies unconstrained by existing tests of UFF or LLI. We propose new experiments to limit such effects.
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