Principle of Minimal Heating for Collapse and Hybrid Gravitational Models

• URL: http://arxiv.org/abs/2511.00644v1
• Date: Sat, 01 Nov 2025 17:47:28 GMT
• Title: Principle of Minimal Heating for Collapse and Hybrid Gravitational Models
• Abstract summary: Energy nonconservation is a prominent, testable prediction of collapse and hybrid classical-quantum gravitational models.<n>We resolve this arbitrariness by a simple principle: for a fixed $r_C$, select the distribution that minimizes the heating rate.<n>We apply this approach to the most investigated collapse models: GRW, CSL, and DP.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Energy nonconservation is a prominent, testable prediction of collapse and hybrid classical-quantum gravitational models. Without smearing of certain operators, the associated heating (or energy increase) rate diverges, yet the smearing distribution is arbitrary and, on scales much larger than the smearing length $r_C$, much of the phenomenology is expected to be independent of this choice. We propose to resolve this arbitrariness by a simple principle: for a fixed $r_C$, select the distribution that minimizes the heating rate. Conceptually, this should identify the minimal deviation from standard quantum mechanics and provide models that, once experimentally refuted, would strongly disfavor all variants with different distributions. We apply this approach to the most investigated collapse models: GRW, CSL, and DP. Notably, the Gaussian is optimal only for the GRW case. Finally, we apply it to the Tilloy-Di\'osi hybrid classical-quantum model of Newtonian gravity, leading to the minimally deviating variant of it. This version of the model is entirely determined by only one free parameter (the smearing length $r_C$) and, if experimentally refuted, would strongly disfavor any other version of it.

Related papers

• Gravitational Poissonian Spontaneous Localization Model of Hybrid Quantum-Classical Newtonian Gravity: Energy Increase and Experimental Bounds [0.0]
  GPSL model is a hybrid classical-quantum framework in which Newtonian gravity emerges from collapses of a smeared mass-density operator.<n>We study the general case of distinct spatial smearings $g_r_C (mathbfx)$ and $g_r_G (mathbfx)$.<n>We estimate the spontaneous heating rate of neutron stars and set new lower bounds on the model's parameters.
  arXiv  Detail & Related papers  (2026-02-22T23:15:38Z)
• A Sharp Universality Dichotomy for the Free Energy of Spherical Spin Glasses [0.22843885788439797]
  We study the free energy for pure and mixed spherical $p$-spin models with i.i.d. disorder.<n>In particular, we derive a TAP-type variational representation for the mixed model, yielding a unified classification of the quenched free energy across tail exponents and mixtures.
  arXiv  Detail & Related papers  (2026-01-13T14:41:46Z)
• Coherence Dispersion and Temperature Scales in a Quantum-Biology Toy Model [51.56484100374058]
  We investigate how quantum coherence can scatter among the several off-diagonal elements of an arbitrary quantum state.<n>By focusing on out-of-equilibrium systems, we use the developed framework to address a simplified model of cellular energetics.
  arXiv  Detail & Related papers  (2025-12-13T14:21:34Z)
• Hybrid Classical-Quantum Newtonian Gravity with stable vacuum [0.0]
  We investigate a hybrid classical-quantum model in which classical Newtonian gravity emerges from collapses of the mass density operator.<n>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.<n>We provide explicit examples, including the dynamics of a single particle and a rigid sphere, to illustrate the distinctive phenomenology of the model.
  arXiv  Detail & Related papers  (2025-02-07T15:19:13Z)
• Macroscopic thermalization by unitary time-evolution in the weakly perturbed two-dimensional Ising model --- An application of the Roos-Teufel-Tumulka-Vogel theorem [0.0]
  We study thermalization in the two-dimensional Ising model in the low-temperature phase. It is proved that, for most choices of the random perturbation, the unitary time evolution $e-i(hatH_L+lambdahatV)t$ brings the initial state into thermal equilibrium.
  arXiv  Detail & Related papers  (2024-09-14T10:07:01Z)
• Scaling Laws in Linear Regression: Compute, Parameters, and Data [86.48154162485712]
  We study the theory of scaling laws in an infinite dimensional linear regression setup.<n>We show that the reducible part of the test error is $Theta(-(a-1) + N-(a-1)/a)$.<n>Our theory is consistent with the empirical neural scaling laws and verified by numerical simulation.
  arXiv  Detail & Related papers  (2024-06-12T17:53:29Z)
• A proposal for a new kind of spontaneous collapse model [0.0]
  We propose a new kind of non-relativistic spontaneous collapse model based on the idea of collapse points situated at fixed spacetime coordinates. We show that it can lead to a dynamics quite similar to that of the GRW model while also naturally solving the problem of indistinguishable particles. We show how our proposed model solves the measurement problem in a manner conceptually similar to the GRW model.
  arXiv  Detail & Related papers  (2023-08-08T17:25:24Z)
• Towards Faster Non-Asymptotic Convergence for Diffusion-Based Generative Models [49.81937966106691]
  We develop a suite of non-asymptotic theory towards understanding the data generation process of diffusion models. In contrast to prior works, our theory is developed based on an elementary yet versatile non-asymptotic approach.
  arXiv  Detail & Related papers  (2023-06-15T16:30:08Z)
• New insights on the quantum-classical division in light of Collapse Models [63.942632088208505]
  We argue that the division between quantum and classical behaviors is analogous to the division of thermodynamic phases. A specific relationship between the collapse parameter $(lambda)$ and the collapse length scale ($r_C$) plays the role of the coexistence curve in usual thermodynamic phase diagrams.
  arXiv  Detail & Related papers  (2022-10-19T14:51:21Z)
• KL-Entropy-Regularized RL with a Generative Model is Minimax Optimal [70.15267479220691]
  We consider and analyze the sample complexity of model reinforcement learning with a generative variance-free model. Our analysis shows that it is nearly minimax-optimal for finding an $varepsilon$-optimal policy when $varepsilon$ is sufficiently small.
  arXiv  Detail & Related papers  (2022-05-27T19:39:24Z)
• Robust PAC$^m$: Training Ensemble Models Under Misspecification and Outliers [46.38465729190199]
  PAC-Bayes theory demonstrates that the free energy criterion minimized by Bayesian learning is a bound on the generalization error for Gibbs predictors. This work presents a novel robust free energy criterion that combines the generalized score function with PAC$m$ ensemble bounds.
  arXiv  Detail & Related papers  (2022-03-03T17:11:07Z)
• Gravity-related collapse of the wave function and spontaneous heating: revisiting the experimental bounds [0.0]
  We argue that the the parameter-free version of the DP model is close to be ruled out by standard heat leak measurements at ultralow temperature. This result would strengthen a recent claim of exclusion inferred by spontaneous x-ray emission experiments.
  arXiv  Detail & Related papers  (2021-09-30T10:21:42Z)
• Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains at Finite Temperature: Exact Results [68.8204255655161]
  We show that the proper inclusion of the odd parity subspace leads to the enhancement of maximal fidelity susceptibility in the intermediate range of temperatures. The correct low-temperature behavior is captured by an approximation involving the two lowest many-body energy eigenstates.
  arXiv  Detail & Related papers  (2021-05-11T14:08:02Z)
• Variational wavefunctions for Sachdev-Ye-Kitaev models [0.0]
  Given a class of $q$-local Hamiltonians, is it possible to find a simple variational state whose energy is a finite fraction of the ground state energy in the thermodynamic limit? We show that Gaussian states fail dramatically in the fermionic case, like for the Sachdev-Ye-Kitaev (SYK) models. This prompts us to propose a new class of wavefunctions for SYK models inspired by the variational coupled cluster algorithm.
  arXiv  Detail & Related papers  (2020-09-08T18:00:08Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.