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In this papper, a quantum dynamical model describing the quantum measurement process is presented as an extensive generalization of the Coleman-Hepp model. In both the classical limit with very large quantum number and macroscopic limit…

High Energy Physics - Theory · Physics 2009-10-22 Chang-Pu Sun

This article is a brief survey of some approaches to implementing the suggestion that collapse of the wave function is mediated by gravity. These approaches include: a possible connection between the problem of time and problem of quantum…

Quantum Physics · Physics 2015-03-04 Tejinder P. Singh

Based on the assumption that the standard Schr\"odinger equation becomes gravitationally modified for massive macroscopic objects, two independent proposals has survived from the nineteen-eighties. The Schr\"odinger--Newton equation (1984)…

Quantum Physics · Physics 2024-10-23 Lajos Diósi

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

Gravitational collapse in (n+2) dimensional quasi-spherical space-time is studied for a fluid with non vanishing radial pressure. An exact analytic solution is obtained (ignoring the arbitrary integration function) for the equation of state…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sanjukta Chakraborty , Subenoy Chakraborty , Ujjal Debnath

We study the end stages of gravitational collapse of the thin shell of matter in ingoing Eddington-Finkelstein coordinates. We use the functional Schrodinger formalism to capture quantum effects in the near singularity limit. We find that…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Anshul Saini , Dejan Stojkovic

A relativistic version of the Schr{\"o}dinger-Newton equation is analyzed within the recently proposed Grave de Peralta approach [L. Grave de Peralta, {\em Results Phys.} {\bf 18} (2020) 103318], which include relativistic effects by a…

Quantum Physics · Physics 2021-02-15 Luis A. Poveda , Luis Grave de Peralta , Arquimedes Ruiz-Columbié

We propose a modified dynamics of quantum mechanics, in which classical mechanics of a point mass derives intrinsically in a massive limit of a single-particle model. On the premise that a position basis plays a special role in wavefunction…

Quantum Physics · Physics 2009-11-10 Takuya Okabe

A simple and natural introduction to the concept and formalism of spontaneous wave function collapse can and should be based on textbook knowledge of standard quantum state collapse and monitoring. This approach explains the origin of noise…

Quantum Physics · Physics 2018-05-25 Lajos Diósi

In this paper we study an Oppenheimer-Snyder (OS)-like gravitational collapse in the general framework of scale-dependent gravity. We explore the collapse in spherically symmetric solutions suggested both by asymptotically safe gravity…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Ramin Hassannejad , Gaetano Lambiase , Fabio Scardigli , Fatimah Shojai

The semi-classical collapse, including lowest order back-reaction, of a thin shell of self-gravitating quantized matter is illustrated. The conditions for which self-gravitating matter forms a thin shell are first discussed and an effective…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. L. Alberghi , R. Casadio , G. P. Vacca , G. Venturi

Wave function collapse models are considered as the modified theories of standard quantum mechanics at the macroscopic level. By introducing nonlinear stochastic terms in the Schr\"odinger equation, these models make predictions,…

Quantum Physics · Physics 2017-02-02 Jing Zhang , Tiancai Zhang , Jie Li

Is wave function collapse a prediction of the Schr\"odinger equation? This unusual problem is explored in an enlarged framework of interpretation, where quantum dynamics is considered exact and its interpretation is extended to include…

Quantum Physics · Physics 2016-11-22 Roland Omnès

Two categories of results regarding quantum measurements are derived in this work and applied to the problem of collapse. The first category is concerned with local and transient features of the entanglement between a macroscopic measuring…

Quantum Physics · Physics 2016-03-01 Roland Omnès

Unlike general relativity, scalar-tensor theories of gravity predict scalar gravitational waves even from a spherically symmetric gravitational collapse. We solve numerically the generation and propagation of the scalar gravitational wave…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Tomohiro Harada , Takeshi Chiba , Ken-ichi Nakao , Takashi Nakamura

We analyze the Wheeler-DeWitt (WDW) equation in the context of a gravitational collapse. The physics of an expanding/collapsing universe and many details of a collapsing star can classically be described by the Roberston-Walker metric in…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Davide Batic , Marek Nowakowski

We use both numerical and analytical approaches to study the dynamics of the gravitational collapse in the framework of the relativistic theory of gravitation (RTG). We use various equations of state for the collapsing matter and relatively…

General Relativity and Quantum Cosmology · Physics 2016-09-15 K. V. Antipin , A. I. Dubikovsky , P. K. Silaev

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

SYK model is a quantum mechanical model of fermions which is solvable at strong coupling and plays an important role as perhaps the simplest holographic model of quantum gravity and black holes. The present work considers a deformed SYK…

High Energy Physics - Theory · Physics 2020-01-08 Avinash Dhar , Adwait Gaikwad , Lata Kh Joshi , Gautam Mandal , Spenta R. Wadia

We discuss a model of spontaneous collapse of the quantum state that does not require adding any stochastic processes to the standard dynamics. The additional ingredient with respect to the wave function is a position in the configuration…

Quantum Physics · Physics 2019-05-28 Franck Laloë