Correspondences of matter field fluctuations in semiclassical and classical gravity in the decoherence limit

Abstract A correspondence between fluctuations of non-minimally coupled scalar fields and that an effective fluid with heat flux anisotropic stresses, is shown. Though the respective stress tensors fluids known widely used in literature, two cases still await a formal are open to investigation all details. Using results obtained newly established theory semiclassical stochastic gravity which focuses on quantum tensor, we show new relations this regard. This development, apart from its relevance field-fluid correspondence, expected give insight mesoscopic phenomena for gravitating systems, enable backreaction studies perturbations astrophysical objects. Such development aimed enhance perturbative analysis cosmological spacetimes objects specifically decoherence limit. kinetic theory, can be based vs particle picture curved spacetime may find useful insights such correspondences future work.