Hybrid Classical-Quantum Newtonian Gravity with stable vacuum
arXiv:2502.04996 · doi:10.1088/1361-6382/ae1540
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 weak measurement schemes, we show that GPSL ensures vacuum stability; this, together with its applicability to identical particles and fields, makes it a promising candidate for a relativistic generalization. We analyze the model's general properties, and compare its predictions with those based on continuous weak measurement schemes. Notably, here the gravitational feedback enters entirely through the non-Hermitian jump operators, without modifying the unitary part of the dynamics. We show that this leads to a short-range gravitational back-reaction and permits decoherence rates below those of any model based on continuous weak measurement schemes. 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.
10 pages plus appendices, 4 figures
References in corpus (48)
- Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
- A Spin Entanglement Witness for Quantum Gravity
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- Dynamical Reduction Models
- Symmetries and conserved quantities in Lindblad master equations
- Testing the limits of quantum mechanical superpositions
- A Relativistic Version of the Ghirardi-Rimini-Weber Model
- The Schrödinger-Newton equation and its foundations
- Relativistic state reduction dynamics
- Underground test of gravity-related wave function collapse
- Experimental bounds on collapse models from gravitational wave detectors
- A classical channel model for gravitational decoherence
- On Spontaneous Wave Function Collapse and Quantum Field Theory
- Upper bounds on spontaneous wave-function collapse models using millikelvin-cooled nanocantilevers
- Present status and future challenges of non-interferometric tests of collapse models
- Sourcing semiclassical gravity from spontaneously localized quantum matter
- Improved noninterferometric test of collapse models using ultracold cantilevers
- Narrowing the parameter space of collapse models with ultracold layered force sensors
- A Relativistic Dynamical Collapse Model
- Symmetry and the thermodynamics of currents in open quantum systems
- LISA pathfinder appreciably constrains collapse models
- Bounds on quantum communication via Newtonian gravity
- Gravitationally induced decoherence vs space-time diffusion: testing the quantum nature of gravity
- Generalized stochastic Schroedinger equations for state vector collapse
- Relativistically Invariant Markovian Dynamical Collapse Theories Must Employ Nonstandard Degrees of Freedom
- Principle of least decoherence for Newtonian semi-classical gravity
- Asymptotics of quantum channels: conserved quantities, an adiabatic limit, and matrix product states
- Collapse Models: a theoretical, experimental and philosophical review
- The Schrödinger-Newton equations beyond Newton
- Novel CSL bounds from the noise-induced radiation emission from atoms
- Testing the quantum nature of gravity without entanglement
- Testing Continuous Spontaneous Localization with Fermi liquids
- Three little paradoxes: making sense of semiclassical gravity
- Ghirardi-Rimini-Weber model with massive flashes
- Mass-coupled relativistic spontaneous collapse models
- Collapse dynamics are diffusive
- General quantum-classical dynamics as measurement based feedback
- Gravitational interaction through a feedback mechanism
- On the effectiveness of the collapse in the Diósi-Penrose model
- Robustness of Noether's principle: Maximal disconnects between conservation laws and symmetries in quantum theory
- Hybrid Geometrodynamics: A Hamiltonian description of classical gravity coupled to quantum matter
- Relativistic effects on the Schrödinger-Newton equation
- The classical-quantum hybrid canonical dynamics and its difficulties with special and general relativity
- Semiclassical cosmology with back reaction: the Friedmann-Schrodinger equation and inflation
- Markovian dynamics for a quantum/classical system and quantum trajectories
- Current experimental upper bounds on spacetime diffusion
- Entanglement in Markovian hybrid classical-quantum theories of gravity
- A proposal for a new kind of spontaneous collapse model