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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

Currently there is not a satisfactory relativistic spontaneous collapse model. Here we show the impossibility of a simple generalization of the continuous spontaneous collapse (CSL) model to the relativistic framework. We consider a mass…

Quantum Physics · Physics 2021-04-29 Caitlin Jones , Giulio Gasbarri , Angelo Bassi

An analogue of the Oppenheimer-Synder collapsing model is treated analytically, where the matter source is a scalar field with an exponential potential. An exact solution is derived followed by matching to a suitable exterior geometry, and…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Soumya Chakrabarti

The Continuous Spontaneous Localisation (CSL) theory in the cosmological context is subject to uncertainties related to the choice of the collapse operator. In this paper, we constrain its form based on generic arguments. We show that, if…

General Relativity and Quantum Cosmology · Physics 2022-07-12 Jerome Martin , Vincent Vennin

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

I suggest a simple alteration of my CSL (Continuous Spontaneous Localization) theory, replacing the mass density collapse-generating operators by relativistic energy density operators. Some consequences of the density matrix evolution…

Quantum Physics · Physics 2016-10-04 Philip Pearle

The study of dynamic singularity formation in spacetime, focusing on scalar field collapse models, is analysed. We revisit key findings regarding open spatial topologies, concentrating on minimal conditions necessary for singularity and…

General Relativity and Quantum Cosmology · Physics 2024-05-10 Dario Corona , Roberto Giambò

Spontaneous scalarization is an interesting mechanism for modification of gravity by nonminimal coupling of a scalar field to matter or curvature invariants in the context of scalar-tensor theories, and its onset is signaled by linear…

General Relativity and Quantum Cosmology · Physics 2019-02-21 Hayato Motohashi , Shinji Mukohyama

Spontaneous wavefunction collapse models offer a solution to the quantum measurement problem, by modifying the Schr\"odinger equation with nonlinear and stochastic terms. The Continuous Spontaneous Localisation (CSL) model is the most…

Quantum Physics · Physics 2025-02-26 Davide Giordano Ario Altamura , Andrea Vinante , Matteo Carlesso

We analyze here the final fate of complete gravitational collapse of a massless scalar field within general relativity. A class of dynamical solutions with initial data close to the Friedmann-Lemaitre-Robertson-Walker (FLRW) collapse model…

General Relativity and Quantum Cosmology · Physics 2012-02-29 Rituparno Goswami , Pankaj S. Joshi , Daniele Malafarina

We investigated the problem of the dynamical collapse of a self-gravitating complex charged scalar field in Einstein-Maxwell-dilaton theory with a phantom copuling for the adequate fields in the system under consideration. We also…

High Energy Physics - Theory · Physics 2015-06-11 Anna Nakonieczna , Marek Rogatko , Rafal Moderski

Using the non-canonical model of scalar field, the cosmological consequences of a pervasive, self-interacting, homogeneous and rolling scalar field are studied. In this model, the scalar field potential is nonlinear and decreases in…

General Relativity and Quantum Cosmology · Physics 2015-12-18 Z. Ossoulian , T. Golanbari , H. Sheikhahmadi , Kh. Saaidi

Quantum mechanics is an extremely successful theory that agrees with every experiment. However, the principle of linear superposition, a central tenet of the theory, apparently contradicts a commonplace observation: macroscopic objects are…

Quantum Physics · Physics 2015-03-20 Angelo Bassi , Kinjalk Lochan , Seema Satin , Tejinder P. Singh , Hendrik Ulbricht

A number of authors have proposed stochastic versions of the Schr\"odinger equation, either as effective evolution equations for open quantum systems or as alternative theories with an intrinsic collapse mechanism. We discuss here two…

Quantum Physics · Physics 2009-11-07 Stephen L. Adler , Todd A. Brun

We examine conditions for finite-time collapse of the solutions of the higher-order nonlinear Schr\"odinger (NLS) equation incorporating third-order dispersion, self-steepening, linear and nonlinear gain and loss, and Raman scattering; this…

Pattern Formation and Solitons · Physics 2015-11-11 V. Achilleos , S. Diamantidis , D. J. Frantzeskakis , T. P. Horikis , N. I. Karachalios , P. G. Kevrekidis

A mechanism describing state reduction dynamics in relativistic quantum field theory is outlined. The mechanism involves nonlinear stochastic modifications to the standard description of unitary state evolution and the introduction of a…

Quantum Physics · Physics 2015-05-18 Daniel J. Bedingham

The phenomena of collapse and dispersal for a massless scalar field has drawn considerable interest in recent years, mainly from a numerical perspective. We give here a sufficient condition for the dispersal to take place for a scalar field…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Swastik Bhattacharya , Rituparno Goswami , Pankaj S. Joshi

Collapse models are phenomenological models introduced to solve the measurement problem in quantum mechanics. They modify the Schr\"odinger equation by adding non-linear and stochastic terms, which induce the wavefunction collapse in space.…

Quantum Physics · Physics 2025-08-27 Matteo Carlesso , Sandro Donadi

Spontaneous collapse models aim to solve the long-standing measurement problem in quantum mechanics by modifying the theory's dynamics to include objective wave function collapses. These collapses occur randomly in space, bridging the gap…

Quantum Physics · Physics 2025-07-23 Nicolò Piccione , Angelo Bassi

The collapse scenario of a scalar field along with a perfect fluid distribution is investigated for a conformally flat spacetime. The theorem for the integrability of an anharmonic oscillator has been utilized. For a pure power law…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Soumya Chakrabarti , Narayan Banerjee