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This paper focuses on how the production and polarization of gravitational waves are affected by spontaneous Lorentz symmetry breaking, which is driven by a self-interacting vector field. Specifically, we examine the impact of a smooth…

General Relativity and Quantum Cosmology · Physics 2024-06-13 K. M. Amarilo , M. B. Ferreira Filho , A. A. Araújo Filho , J. A. A. S. Reis

The interpretation proposed in quant-ph/9812011 is extended to the general case of a non-relativistic particle moving in an arbitrary external potential. It is shown that, even in this general case, "particle" solutions exist which do not…

Quantum Physics · Physics 2007-05-23 A. Raiteri

Topology change in quantum gravity is considered. An exact wave function of the Universe is calculated for topological Chern-Simons 2+1 dimensional gravity. This wave function occurs as the effect of a quantum anomaly which leads to the…

High Energy Physics - Theory · Physics 2009-10-19 Pawel O. Mazur

Wigner functions, allowing for a reformulation of quantum mechanics in phase space, are of central importance for the study of the quantum-classical transition. A full understanding of the quantum-classical transition, however, also…

Quantum Physics · Physics 2021-12-21 Michael te Vrugt , Gyula I. Tóth , Raphael Wittkowski

General Relativity suffers for two main problems which have not yet been overcome: it predicts spacetime singularities and cannot be formulated as a perturbative renormalizable theory. In particular, many attempts have been made for…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Salvatore Capozziello , Maurizio Capriolo , Amodio Carleo , Gaetano Lambiase

Mathematical models for the stochastic evolution of wave functions that combine the unitary evolution according to the Schroedinger equation and the collapse postulate of quantum theory are well understood for non-relativistic quantum…

It is well-known that quantum mechanics admits two distinct evolutions: the unitary evolution, which is deterministic and well described by the Schr\"{o}dinger equation, and the collapse of the wave function, which is probablistic,…

Quantum Physics · Physics 2026-04-07 Le Hu , Andrew N. Jordan

Some experimental implications of the recent progress on wave function collapse are calculated. Exact results are derived for the center-of-mass wave function collapse caused by random scatterings and applied to a range of specific…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Max Tegmark

We probe the dynamics of a modified form of the Schrodinger-Newton system of gravity coupled to single particle quantum mechanics. At the masses of interest here, the ones associated with the onset of "collapse" (where the gravitational…

General Relativity and Quantum Cosmology · Physics 2016-03-23 J. Franklin , Y. Guo , K. Cole Newton , M. Schlosshauer

Models of spontaneous wave function collapse modify the linear Schr\"{o}dinger equation of standard Quantum Mechanics by adding stochastic non-linear terms to it. The aim of such models is to describe the quantum (linear) nature of…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-14 Kinjalk Lochan , Suratna Das , Angelo Bassi

A new approach to wavefunction collapse is prepared by an analysis of semiclassical gravity. The fact that, in semiclassical gravity, superposed states must share a common classical spacetime geometry, even if they prefer (according to…

Quantum Physics · Physics 2017-02-02 Garrelt Quandt-Wiese

We make an attempt to dynamically study, in four space-time dimensions, the classical gravitational collapse of a macroscopic circular fundamental string, by a truncation of the Einstein equations that suppresses retarded features but keeps…

High Energy Physics - Theory · Physics 2007-05-23 Roberto Iengo

The transition from the quantum to the classical realm remains one of the most profound open questions in physics. While quantum theory predicts the existence of macroscopic superpositions, their apparent absence in the everyday world is…

Quantum Physics · Physics 2026-01-07 Ridha Horchani

The scalar tensor theory contains a coupling function connecting the quantities in the Jordan and Einstein frames, which is constrained to guarantee a transformation rule between frames. We simulate the supernovae core collapse with…

General Relativity and Quantum Cosmology · Physics 2020-08-28 Chao-Qiang Geng , Hao-Jui Kuan , Ling-Wei Luo

We investigate the Di\'osi-Penrose (DP) proposal for connecting the collapse of the wave function to gravity. The DP model needs a free parameter, acting as a cut-off to regularize the dynamics, and the predictions of the model highly…

Quantum Physics · Physics 2015-07-20 Mohammad Bahrami , Andrea Smirne , Angelo Bassi

The speculation that gravity is the key to solving the quantum measurement problem has been alive for decades, without any convincing demonstration of a solution. One necessary factor in the relevant proposals is that the gravitational…

Quantum Physics · Physics 2021-06-01 C. S. Unnikrishnan , George T. Gillies

Modified versions of the Schr\"{o}dinger equation have been proposed in order to incorporate the description of measurement processes into the mathematical structure of quantum theory. Typically, these proposals introduce new physical…

Quantum Physics · Physics 2022-12-02 Edward J. Gillis

Principle of locality means that any local change (perturbation) of the stationary state wave function field propagates with finite speed, and therefore reaches distant regions of the field with time delay. If a one-particle or…

General Physics · Physics 2016-01-26 Isaac Shnaid

A brief review is given of the Continuous Spontaneous Localization (CSL) model in which a classical field interacts with quantized particles to cause dynamical wavefunction collapse. One of the model's predictions is that particles…

Quantum Physics · Physics 2007-05-23 Philip Pearle , James Ring , Juan I. Collar , Frank T. Avignone

In the framework of the theory of scale relativity, we suggest a solution to the cosmological problem of the formation and evolution of gravitational structures on many scales. This approach is based on the giving up of the hypothesis of…

Astrophysics · Physics 2015-06-24 Daniel da Rocha , Laurent Nottale