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arXiv · 2204.03279

Free-fall non-universality in quantum theory

Viacheslav A. Emelyanov
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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.

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Viacheslav A. Emelyanov. 2022-04-07. Free-fall non-universality in quantum theory. https://doi.org/10.1002/andp.202200386

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