English

Free-fall non-universality in quantum theory

General Relativity and Quantum Cosmology 2023-05-30 v4 High Energy Physics - Theory Quantum Physics

Abstract

We show by embodying the Einstein equivalence principle - local Poincar\'{e} invariance - and general covariance in quantum theory that wave-function spreading rules out the universality of free fall, i.e. the free-fall trajectory of a quantum (test) particle depends on its internal properties. We provide a quantitative estimate of the free-fall non-universality in terms of the E\"{o}tv\"{o}s parameter, which turns out to be measurable in atom interferometry.

Keywords

Cite

@article{arxiv.2204.03279,
  title  = {Free-fall non-universality in quantum theory},
  author = {Viacheslav A. Emelyanov},
  journal= {arXiv preprint arXiv:2204.03279},
  year   = {2023}
}

Comments

typos fixed, published version

R2 v1 2026-06-24T10:40:52.693Z