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Planck-scale physics challenges the classical smooth-spacetime picture by introducing quantum fluctuations that imply a nontrivial spacetime microstructure. We present a framework that encodes these fluctuations by promoting local scale…

General Physics · Physics 2026-01-23 Weihu Ma , Yu-Gang Ma

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

The operational meaning of spacetime fluctuations is discussed. Classical spacetime geometry can be viewed as encoding the relations between the motions of test particles in the geometry. By analogy, quantum fluctuations of spacetime…

General Relativity and Quantum Cosmology · Physics 2016-08-31 L. H. Ford

Measurements of the spectrum of the fluctuations of the output current of the quadratic detector of a telescope can be used to find unresolved astronomical gravitational lenses and determine time delays between their image components. These…

Astrophysics · Physics 2009-11-13 Ermanno F. Borra

By analyzing a gedanken experiment designed to measure the distance $l$ between two spatially separated points, we find that this distance cannot be measured with uncertainty less than $(ll_P^2)^{1/3}$, considerably larger than the Planck…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Y. Jack Ng , H. van Dam

A particular form for the quantum indeterminacy of relative spacetime position of events is derived from the limits of measurement possible with Planck wavelength radiation. The indeterminacy predicts fluctuations from a classically defined…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Craig J. Hogan

We begin by enumerating the many processes in gravitation and cosmology where quantum noise and fluctuations play an active role such as particle creation, galaxy formation and entropy generation. Using the influence functional we first…

Astrophysics · Physics 2007-05-23 Bei-lok Hu , Andrew Matacz

Noise sources are ubiquitous in Nature and give rise to a description of quantum systems in terms of stochastic Hamiltonians. Decoherence dominates the noise-averaged dynamics and leads to dephasing and the decay of coherences in the…

High Energy Physics - Theory · Physics 2020-03-02 Adolfo del Campo , Tadashi Takayanagi

In this essay it will be shown that Decoherence Model and Einstein Equivalence Principle are conceptually incompatible. In other words, assuming only the validity of the Weak Equivalence Principle the present work concludes that we face two…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. Camacho

Quantum gravitational effects may induce stochastic fluctuations in the structure of space-time, to produce a characteristic foamy structure. It has been known for some time now that these fluctuations may have observable consequences for…

General Relativity and Quantum Cosmology · Physics 2016-11-09 R. Aloisio , P. Blasi , A. Galante , A. F. Grillo

We derive some of the central equations governing quantum fluctuations in gravitational waves, making use of general relativity as a sensible effective quantum theory at large distances. We begin with a review of classical gravitational…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Mark P. Hertzberg , Jacob A. Litterer

The quantum-to-classical transition through decoherence is a major facet of the semi-classical analysis of quantum models that are supposed to admit a classical regime, as quantum gravity should be. A particular problem of interest is the…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Alexandre Feller , Etera R. Livine

This is the first in a series of two papers (I and II), in which we revisit the problem of decoherence in weak localization. The basic challenge addressed in our work is to calculate the decoherence of electrons interacting with a…

Disordered Systems and Neural Networks · Physics 2007-12-02 Florian Marquardt , Jan von Delft , R. A. Smith , Vinay Ambegaokar

A linear analytical solution is derived for the gravitational shock wave produced by a particle of mass $M$ that decays into a pair of null particles. The resulting space-time is shown to be unperturbed and isotropic, except for a…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Kris Mackewicz , Craig Hogan

We have investigated the decoherence induced by the primordial graviton, using the influence functional method, to show whether this method is still effective in detecting graviton if the initial state is not a Bunch-Davies vacuum but…

High Energy Physics - Theory · Physics 2024-08-20 Anom Trenggana , Freddy P. Zen , Getbogi Hikmawan

We consider the superposition of two semiclassical solutions of the Wheeler-DeWitt equation for a de Sitter universe, describing a quantized scalar vacuum propagating in a universe that is contracting in one case and expanding in the other,…

General Relativity and Quantum Cosmology · Physics 2019-01-11 Marcello Rotondo , Yasusada Nambu

This paper is concerned with two questions in the decoherent histories approach to quantum mechanics: the emergence of approximate classical predictability, and the fluctuations about it necessitated by the uncertainty principle. We…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. J. Halliwell

The quantum fluctuations of the geodesic deviation equation in a flat background spacetime are discussed. We calculate the resulting mean squared fluctuations in the relative velocity and separation of test particles. The effect of these…

General Relativity and Quantum Cosmology · Physics 2018-10-10 H. S. Vieira , L. H. Ford , V. B. Bezerra

Starobinsky described an inflationary scenario in which quantum corrections to vacuum Einstein equations drive the inflation. The quantum cosmology of the model is studied by solving the Wheeler-DeWitt equation. A connection between…

Astrophysics · Physics 2015-06-24 S. Biswas , A. Shaw , B. Modak

We describe how a model of effective interactions between quantum fluctuations under certain assumptions can be constructed in a way so that the large-scale limit gives an effective theory that matches general relativity in vacuum regions.…

High Energy Physics - Theory · Physics 2025-11-11 Anna Karlsson
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