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The self-similar spherically symmetric perfect fluid space-time with scalar function incorporating linear equation of state is studied. The investigation of gravitational collapse conditions on the space-time determines that scalar function…

General Relativity and Quantum Cosmology · Physics 2021-03-09 Sanjay B. Sarwe , Gulshan O. Makkad

A class of solutions to Einstein field equations is studied, which represents gravitational collapse of thick spherical shells made of self-similar and shear-free fluid with heat flow. It is shown that such shells satisfy all the energy…

General Relativity and Quantum Cosmology · Physics 2009-11-07 R. Chan , M. F. A. da Silva , Jaime F. Villas da Rocha

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

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

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

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

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

We derive the effect of the Schr\"odinger--Newton equation, which can be considered as a non-relativistic limit of classical gravity, for a composite quantum system in the regime of high energies. Such meson-antimeson systems exhibit very…

Quantum Physics · Physics 2015-03-27 André Großardt , Beatrix C. Hiesmayr

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

Almost a century after the development of quantum mechanics, we still do not have a consensus on the process of collapse of wavefunctions. Some theories require the intervention of a conscious observer while some see it as a stochastic…

Quantum Physics · Physics 2021-10-11 Arnab Acharya , Pratik Jeware , Soumitro Banerjee

I impose the Newtonian criteria of inertial frames on the c.o.m. trajectories of massive objects undergoing spontaneous collapse of their wave function. The corresponding modification of the so far used stochastic Schr\"odinger equation…

Quantum Physics · Physics 2020-10-08 Lajos Diósi

The linearity of quantum mechanics leads, under the assumption that the wave function offers a complete description of reality, to grotesque situations famously known as Schroedinger's cat. Ways out are either adding elements of reality or…

Quantum Physics · Physics 2013-12-02 A. Bassi , D. Duerr , G. Hinrichs

The conformal supergravity is suggested as a realistic theory for gravity interactions. It displays the spontaneous breaking of the conformal symmetry which results in appearance of the term proportional to the scalar curvature R in the…

High Energy Physics - Theory · Physics 2014-08-10 A. V. Smilga

From the general assumption that gravity originates from the coupling and thermal equilibrium between matter and vacuum, after a derivation of Newton's law of gravitation and an interpretation of the attractive gravity force between two…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Hongwei Xiong

We investigate gravitational collapse in the context of quantum mechanics. We take primary interest in the behavior of the collapse near the horizon and near the origin (classical singularity) from the point of view of an infalling…

General Relativity and Quantum Cosmology · Physics 2009-01-07 Eric Greenwood , Dejan Stojkovic

Freely falling point-like objects converge toward the center of the Earth. Hence the gravitational field of the Earth is inhomogeneous, and possesses a tidal component. The free fall of an extended quantum mechanical object such as a…

Quantum Physics · Physics 2010-11-03 R. Y. Chiao , S. J. Minter , K. Wegter-McNelly , L. A. Martinez

On the basis of a proposed model of wave function collapse, we investigate spontaneous localization of a quantum state. The model is similar to the Ghirardi-Rimini-Weber model, while we postulate the localization functions to depend on the…

Quantum Physics · Physics 2007-05-23 Takuya Okabe

This paper investigates the evolution of collapsing FRW models with a scalar field having the potential which arises in the conformal frame of high order gravity theories, coupled to matter described by a perfect fluid with energy density…

General Relativity and Quantum Cosmology · Physics 2010-03-24 Roberto Giambò

A version of the cosmological perturbation theory in general relativity (GR) is developed, where the cosmological scale factor is identified with spatial averaging of the metric determinant logarithm and the cosmic evolution acquires the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 B. M. Barbashov , V. N. Pervushin , A. F. Zakharov , V. A. Zinchuk

Complete tensor-scalar and hydrodynamic equations are presented and integrated, for a self-gravitating perfect fluid. The initial conditions describe unstable-equilibrium neutron star configuration, with a polytropic equation of state. They…

General Relativity and Quantum Cosmology · Physics 2009-10-30 J. Novak