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A stochastic theory of gravity is described in which the metric tensor is a random variable such that the spacetime manifold is a fluctuating physical system at a certain length scale. A general formalism is described for calculating…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. W. Moffat

All gauge theories need ``something fixed'' even as ``something changes.'' Underlying the implementation of these ideas all major physical theories make indispensable use of an elaborately designed spacetime model as the ``something…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Carl H. Brans

We consider a semi-classical approximation to the dynamics of a point particle in a noncommutative space. In this approximation, the noncommutativity of space coordinates is described by a Poisson bracket. For linear Poisson brackets, the…

High Energy Physics - Theory · Physics 2024-05-24 Vladislav Kupriyanov , Maxim Kurkov , Alexey Sharapov

Simultaneous decoherence of conjugate observables of an open quantum system leads to a classical statistical mechanical description with constant phase space probability density in terms of a uniform ensemble. We investigate a scenario…

Quantum Physics · Physics 2026-03-30 S. Adarsh , P. N. Bala Subramanian , Sreeraj T. P

A fundamental element of scale-dependent gravity is the scale-setting procedure. We present a new covariant expression to set the scale that arises when examining the field equations. Considering the renormalization group equations and…

General Relativity and Quantum Cosmology · Physics 2025-04-28 Nicolas R. Bertini

We propose in this paper a quantization scheme for real Klein-Gordon field in de Sitter spacetime. Our scheme is generally covariant with the help of vierbein, which is necessary usually for spinor field in curved spacetime. We first…

High Energy Physics - Theory · Physics 2023-09-06 Sze-Shiang Feng

This Thesis presents some physically motivated criteria for the existence of particles and infra-particles in a given quantum field theory. It is based on a refined spectral theory of automorphism groups describing the energy-momentum…

Mathematical Physics · Physics 2009-01-26 Wojciech Dybalski

John Bell once argued that one ought to select, out of the 'observables' of quantum theory, some subset of 'beables' that can be consistently ascribed determinate values. Moreover, this subset should be selected so as to guarantee (among…

Quantum Physics · Physics 2007-05-23 Rob Clifton

We study systems of particles on a line which have a maximum, are locally finite and evolve with independent increments. ``Quasi-stationary states'' are defined as probability measures, on the \sigma-algebra generated by the gap variables,…

Probability · Mathematics 2007-05-23 Anastasia Ruzmaikina , Michael Aizenman

Gravity is understood as a geometrization of spacetime. But spacetime is also the manifold of the boundary values of the spinless point particle in a variational approach. Since all known matter, baryons, leptons and gauge bosons are…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Martin Rivas

An obvious criterion to classify theories of modified gravity is to identify their gravitational degrees of freedom and their coupling to the metric and the matter sector. Using this simple idea, we show that any theory which depends on the…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Xavier Calmet , Iberê Kuntz

Fermionic extensions of generic 2d gravity theories obtained from the graded Poisson-Sigma model (gPSM) approach show a large degree of ambiguity. In addition, obstructions may reduce the allowed range of fields as given by the bosonic…

High Energy Physics - Theory · Physics 2009-11-07 L. Bergamin , W. Kummer

We further develop a noncommutative model unifying quantum mechanics and general relativity proposed in {\it Gen. Rel. Grav.} (2004) {\bf 36}, 111-126. Generalized symmetries of the model are defined by a groupoid $\Gamma $ given by the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Leszek Pysiak , Michael Heller , Zdzislaw Odrzygozdz , Wieslaw Sasin

After reviewing the hole argument and its relations with initial value problem and general covariance, we shall discuss how much freedom one has to define the physical state of a system in a generally covariant (or gauge covariant) field…

General Relativity and Quantum Cosmology · Physics 2017-04-05 L. Fatibene , M. Ferraris , G. Magnano

We introduce a general framework for analysing general probabilistic theories, which emphasises the distinction between the dynamical and probabilistic structures of a system. The dynamical structure is the set of pure states together with…

Quantum Physics · Physics 2021-05-26 Thomas D. Galley , Lluis Masanes

Geodesic completeness is typically regarded as a basic criterion to determine whether a given spacetime is regular or singular. However, the principle of general covariance does not privilege any family of observers over the others and,…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Gonzalo J. Olmo , Diego Rubiera-Garcia , Antonio Sanchez-Puente

This thesis is dedicated to the study of symmetries in reduced models of gravity, with some frozen degrees of freedom. We focus on the minisuperspace reduction whith a finite number of degrees of freedom. Minisuperspaces are treated as…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Francesco Sartini

In quantum theory, physically measurable quantities of a microscopic system are represented by self-adjoint operators. However, not all of the self-adjoint operators correspond to measurable quantities. The superselection rule is a…

Quantum Physics · Physics 2011-12-30 Shogo Tanimura

The relationship between the metric and nonrelativistic matter distribution depends on the theory of gravity and additional fields, providing a possible way of distinguishing competing theories. With the assumption that the geometry and…

Astrophysics · Physics 2008-10-28 Mustafa A. Amin , Robert V. Wagoner , Roger D. Blandford

We define what it means for a state in a convex cone of states on a space of observables to be generalized-entangled relative to a subspace of the observables, in a general ordered linear spaces framework for operational theories. This…

Quantum Physics · Physics 2009-11-11 Howard Barnum , Gerardo Ortiz , Rolando Somma , Lorenza Viola