Hybrid Classical-Quantum Newtonian Gravity with stable vacuum

• URL: http://arxiv.org/abs/2502.04996v2
• Date: Sat, 29 Mar 2025 12:21:48 GMT
• Title: Hybrid Classical-Quantum Newtonian Gravity with stable vacuum
• Authors: Nicolò Piccione, Angelo Bassi,
• Abstract summary: We investigate a hybrid classical-quantum model in which classical Newtonian gravity emerges from collapses of the mass density operator.<n>GPSL ensures vacuum stability; this, together with its applicability to identical particles and fields, makes it a promising candidate for a relativistic generalization.<n>We provide explicit examples, including the dynamics of a single particle and a rigid sphere, to illustrate the distinctive phenomenology of the model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the Gravitational Poissonian Spontaneous Localization (GPSL) model, a hybrid classical-quantum model in which classical Newtonian gravity emerges from stochastic collapses of the mass density operator, and consistently couples to quantum matter. Unlike models based on continuous measurement schemes, GPSL ensures vacuum stability; this, together with its applicability to identical particles and fields, makes it a promising candidate for a relativistic generalization. We derive the master equation governing the dynamics, analyze the model's general properties, and compare its predictions with those of the Tilloy-Di\'osi models. Notably, GPSL predicts a short-range gravitational back-reaction and permits decoherence rates below the Di\'osi-Penrose bound, thereby evading the "Principle of Least Decoherence." We provide explicit examples, including the dynamics of a single particle and a rigid sphere, to illustrate the distinctive phenomenology of the model. Finally, we discuss the experimental testability of GPSL, highlighting both interferometric and non-interferometric strategies to constrain its parameters and distinguish it from competing models.

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