Stefanov, V. P.V. P.StefanovMogilevtsev, D. S.D. S.MogilevtsevRybak, I. Y.I. Y.RybakStefanov, A.A.Stefanov0000-0002-5588-79862025-04-302025-04-302025-03-31https://boris-portal.unibe.ch/handle/20.500.12422/208753Here, 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.enarticle10.48620/8767610.1103/physrevd.111.065026