Sourcing semiclassical gravity from spontaneously localized quantum matter

Abstract

The possibility that a classical space-time and quantum matter cohabit at the deepest level, i.e. the possibility of having a fundamental and not phenomenological semiclassical gravity, is often disregarded for lack of a good candidate theory. The standard semiclassical theory suffers from fundamental inconsistencies (e.g.: Schrödinger cat sources, faster-than-light communication and violation of the Born rule) which can only be ignored in simple typical situations. We harness the power of spontaneous localization models, historically constructed to solve the measurement problem in quantum mechanics, to build a consistent theory of (stochastic) semiclassical gravity in the Newtonian limit. Our model makes quantitative and potentially testable predictions: we recover the Newtonian pair potential up to a short distance cut-off (hence we predict no 1 particle self-interaction) and uncover an additional gravitational decoherence term which depends on the specifics of the underlying spontaneous localization model considered. We hint at a possible program to go past the Newtonian limit, towards a consistent general relativistic semiclassical gravity.

9 pages + refs, 1 figure, typos corrected and minor modifications

References in corpus (17)

• A Straightforward Introduction to Continuous Quantum Measurement
• Continuous quantum measurement and Itô formalism
• Gravitation and quantummechanical localization of macroobjects
• Lower and Upper Bounds on CSL Parameters from Latent Image Formation and IGM Heating
• The Schrödinger-Newton equation and its foundations
• On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory
• Problems with the Newton-Schrödinger Equations
• Pure-state quantum trajectories for general non-Markovian systems do not exist
• Stochastic pure state representation for open quantum systems
• Existence, uniqueness and approximation of a stochastic Schrödinger equation: the diffusive case
• Non-Markovian continuous quantum measurement of retarded observables
• Gravity and the Collapse of the Wave Function: a Probe into Diósi-Penrose model
• Gravity-related spontaneous collapse in bulk matter
• Centre-of-mass motion in multi-particle Schroedinger-Newton dynamics
• Stochastic extensions of the regularized Schrödinger-Newton equation
• Coupled Ito equations of continuous quantum state measurement, and estimation
• Is spontaneous wave function collapse testable at all?

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