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Testing classicality of gravity by gravitation decoherence

V. P. Stefanov, D. S. Mogilevtsev, I. Yu. Rybak, A. Stefanov

Abstract
Here, we discuss an influence of an external weak gravitational field on the gravitational self-decoherence effect with help of the stochastic extension of regularized Shrödinger-Newton equation in a curved background. We derive the master equation and demonstrate that it leads to the experimentally verifiable conclusions about applicability of the classical description of the weak gravitation field. Namely, a presence of oscillating terms in the otherwise purely exponential decay of the coherence would indicate classicality of gravity for the case.

Keywords
Formal aspects of field theory / field theory in curved space

Physical Review D
Volume 111, Issue 065026, Page 11
2025 March

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia