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In the past decade, significant efforts have been devoted to the study of Relative Locality, which aims to generalize the kinematics of relativistic particles to a nonlocal framework by introducing a nontrivial geometry for momentum space.…

General Relativity and Quantum Cosmology · Physics 2023-06-21 F. Mercati , J. J. Relancio

The purpose of this work is to investigate the consequences of quantum gravity for the singularity problem. We study the higher-derivative terms that invariably appear in any quantum field theoretical model of gravity, handling them both…

High Energy Physics - Theory · Physics 2020-01-22 Iberê Kuntz , Roberto Casadio

Classical point particles in Newtonian gravity obey, as they do in general relativity, the universality of free fall. However classical structured particles, (for instance with a mass quadrupole moment), need not obey the universality of…

General Relativity and Quantum Cosmology · Physics 2017-11-28 Matt Visser

In this short paper, we propose a new quantum effect that naturally emerges from describing the quantum particle as a classical fluid. Following the hydrodynamical formulation of quantum mechanics for a particle in a finite convex region,…

Quantum Physics · Physics 2024-10-01 Tomer Shushi

We revisit the Schwarzschild singularity in a semiclassical setting where the background geometry is classical and quantum effects enter through Bohmian (quantal) trajectories associated with a Klein Gordon wave packet. Using the…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Vishnulal Cheriyodathillathu , Tanmay Patil , Saurya Das , Soumen Basak

We review the mathematical framework necessary to understand the physical content of quantum singularities in static spacetimes. We present many examples of classical singular spacetimes and study their singularities by using wave packets…

General Relativity and Quantum Cosmology · Physics 2011-08-01 J. P. M. Pitelli , P. S. Letelier

We study how the presence of an area gap, different than zero, affects the gravitational collapse of a dust ball. The implementation of such discreteness is achieved through the framework of polymer quantization, a scheme inspired by loop…

General Relativity and Quantum Cosmology · Physics 2025-05-13 L. Boldorini , G. Montani

In this paper, we explore a collapsing scenario in the background of energy-momentum squared gravity (EMSG). EMSG claims to have terms that originate from the quantum gravity effects mimicking loop quantum gravity. As a result, the…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Prabir Rudra

A gravitationally collapsed object can bounce-out from its horizon via a tunnelling process that violates the classical equations in a finite region. Since tunnelling is a non-perturbative phenomenon, it cannot be described in terms of…

General Relativity and Quantum Cosmology · Physics 2016-10-26 Marios Christodoulou , Carlo Rovelli , Simone Speziale , Ilya Vilensky

In objective gravitational reduction of the wave function of a quantum system, the classical limit of the system is obtained in terms of the objective properties of the system. On the other hand, in Bohmian quantum mechanics the usual…

Quantum Physics · Physics 2026-05-26 Faramarz Rahmani , Mehdi Golshani , Ghadir Jafari

We study the effects of cut-off physics, in the form of a modified algebra inspired by Polymer Quantum Mechanics and by the Generalized Uncertainty Principle representation, on the collapse of a spherical dust cloud. We analyze both the…

General Relativity and Quantum Cosmology · Physics 2024-03-14 Gabriele Barca , Giovanni Montani

There are known models of spherical gravitational collapse in which the collapse ends in a naked shell-focusing singularity for some initial data. If a massless scalar field is quantized on the classical background provided by such a star,…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Tomohiro Harada , Hideo Iguchi , Ken-ichi Nakao , T. P. Singh , Takahiro Tanaka , Cenalo Vaz

Horizons are classical causal structures that arise in systems with sharply defined energy and corresponding gravitational radius. A global gravitational radius operator can be introduced for a static and spherically symmetric quantum…

General Relativity and Quantum Cosmology · Physics 2017-02-08 R. Casadio , A. Giugno , A. Giusti

Quantum gravity is treated as a stochastic quantization of the spacetime metric of general relativity. It is found that owing to the stochastic fluctuating behavior of the geometry, the singularity in gravitational collapse of a star has a…

High Energy Physics - Theory · Physics 2014-02-06 J. W. Moffat

Classical critical collapse yields naked singularities from smooth initial data, challenging cosmic censorship, and shaping the spectrum of primordial black holes. We show that one-loop vacuum polarization near the threshold qualitatively…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Marija Tomašević , Chih-Hung Wu

We analyze the persistence of curvature singularities when analyzed using quantum theory. First, quantum test particles obeying the Klein-Gordon and Chandrasekhar-Dirac equation are used to probe the classical timelike naked singularity. We…

General Relativity and Quantum Cosmology · Physics 2016-05-09 T. Tahamtan , O. Svitek

Quantum gravity suggests that the paradox recently put forward by Almheiri et. al. (AMPS) can be resolved if matter does not undergo continuous collapse to a singularity but condenses on the apparent horizon. One can then expect a…

General Relativity and Quantum Cosmology · Physics 2015-01-13 Cenalo Vaz

Everybody knows what the classical black holes are. In short, this is a spacetime region beyond the so-called event horizon. The notion of the event horizon is mathematically well defined. The situation with a definition of quantum black…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Victor Berezin

The definitions of classical and quantum singularities in general relativity are reviewed. The occurence of quantum mechanical singularities in certain spherically symmetric and cylindrically symmetric (including infinite line…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. A. Konkowski , T. M. Helliwell , C. Wieland

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