Relativistic consistency of stochastic classical gravity

Ascertain whether Markovian decoherence and diffusion can be formulated consistently within relativistic stochastic classical gravity models, and develop the necessary theoretical framework to reconcile these stochastic processes with relativistic requirements.

Background

The paper discusses classical gravity models with fundamental stochasticity, where decoherence terms are introduced to prevent superluminal signalling and to model continuous measurement of mass density. While such models are linear and avoid certain pathologies, their fully relativistic consistency has been questioned. Specifically, reconciling Markovian decoherence and diffusion with relativity remains problematic, posing an open issue for the viability of relativistic stochastic gravity frameworks.