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A pseudo-Riemannian manifold contains an inherent Hamiltonian structure within the symplectic manifold in the cotangent bundle corresponding to the metric. Using this structure, it is possible to define a Hamiltonian, which can be…

广义相对论与量子宇宙学 · 物理学 2012-12-07 Ikjyot Singh Kohli

We study the deformation of the horizon-vicinity geometry caused by quantum gravitational effects. Departure from the semi-classical picture is noted, and the fact that the matter part of the action comes at a higher order in Newton's…

高能物理 - 理论 · 物理学 2018-02-14 I. Y. Park

The task of quantizing gravity is compared with Einstein's relativization of gravity. The philosophical and physical foundations of general relativity are briefly reviewed. The Ehlers-Pirani-Schild scheme of operationally determining the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Jeeva S. Anandan

Classical clocks measure proper time along their worldline, and Riemannian geometry provides tools for predicting the time shown by clocks in both flat and curved spacetimes. Common approaches to time in quantum systems, based for instance…

广义相对论与量子宇宙学 · 物理学 2025-01-14 Joseph Balsells , Martin Bojowald

We review quantum causal histories starting with their interpretations as a quantum field theory on a causal set and a quantum geometry. We discuss the difficulties that background independent theories based on quantum geometry encounter in…

高能物理 - 理论 · 物理学 2007-05-23 Fotini Markopoulou

A class of coordinate systems is found for Friedmann Cosmologies with local gravity such that it is possible to formulate quantum theory over astronomical and cosmological distances. When light from distance objects is treated as a quantum…

综合物理 · 物理学 2009-04-28 Charles Francis

We derive an effective gravitational potential, induced by the quantum wavefunction of a physical vacuum of a self-gravitating configuration, while the vacuum itself is viewed as the superfluid described by the logarithmic quantum wave…

广义相对论与量子宇宙学 · 物理学 2020-12-01 Konstantin G. Zloshchastiev

It is proposed that the event horizon of a black hole is a quantum phase transition of the vacuum of space-time analogous to the liquid-vapor critical point of a bose fluid. The equations of classical general relativity remain valid…

广义相对论与量子宇宙学 · 物理学 2009-10-31 G. Chapline , E. Hohlfeld , R. B. Laughlin , D. I. Santiago

We introduce a special class of bimetric theories of quantized fields with preserved classical energy conditions. More precisely, we describe the missing anti-particles in our visible universe as being trapped in a spacetime patch with…

高能物理 - 理论 · 物理学 2025-08-11 M. W. AlMasri

In recent years several ideas for experimental searches of effects induced by quantum properties of space-time have been discussed. Some of these ideas concern the role in quantum spacetime of the ordinary Lorentz symmetry of classical flat…

天体物理学 · 物理学 2007-05-23 Giovanni Amelino-Camelia

In general relativity (GR), spacetime geometry is no longer just a background arena but a physical and dynamical entity with its own degrees of freedom. We present an overview of approaches to quantum gravity in which this central feature…

广义相对论与量子宇宙学 · 物理学 2014-08-20 Abhay Ashtekar , Martin Reuter , Carlo Rovelli

One might expect far away from physical black holes that quantum field quantisation performed in Minkowski space is a good approximation. Indeed, all experimental tests in particle colliders reveal no deviations so far. Nevertheless, the…

高能物理 - 理论 · 物理学 2017-06-28 Slava Emelyanov

We apply the new quantization scheme outlined in Phys. Rev. D102 (2020) 125001 to explore the influence which quantum vacuum fluctuations of the spacetime metric exert on the universes of Quantum Einstein Gravity, which is regarded an…

高能物理 - 理论 · 物理学 2021-12-22 Maximilian Becker , Martin Reuter

We consider a preferred-frame bimetric theory in which the scalar gravitational field both influences the metric and has direct dynamical effects. A modified version ("v2") is built, by assuming now a locally-isotropic dilation of…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Mayeul Arminjon

Although cosmic expansion at very small distances is usually dismissed as entirely inconsequential, it appears that these extraordinarily small effects may in fact have a real and significant influence on our world. Calculations suggest…

综合物理 · 物理学 2015-06-26 C. L. Herzenberg

Quantum gravity theories predict deformations of black hole solutions relative to their classical counterparts. A model-independent approach was advocated in \cite{Binetti:2022xdi} that uses metric deformations parametrised in terms of…

广义相对论与量子宇宙学 · 物理学 2023-07-26 Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

We consider a hypothesis in which classical space-time emerges from information exchange (interactions) between quantum fluctuations in the gravity theory. In this picture, a line element would arise as a statistical average of how…

高能物理 - 理论 · 物理学 2019-09-04 Anna Karlsson

It is shown by the author that if gravitons are super-strong interacting particles and the low-temperature graviton background exists, the basic cosmological conjecture about the Dopplerian nature of redshifts may be false. In this case, a…

高能物理 - 理论 · 物理学 2007-05-23 Michael A. Ivanov

A formal symmetry between generalized coordinates and momenta is postulated to formulate classical and quantum theories of a particle coupled to an Abelian gauge field. It is shown that the symmetry (a) requires the field to have dynamic…

量子物理 · 物理学 2009-05-17 Partha Ghose

We show that tensoriality constraints in noncommutative Riemannian geometry in the 2-dimensional bicrossproduct model quantum spacetime algebra [x,t]=\lambda x drastically reduce the moduli of possible metrics g up to normalisation to a…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Edwin Beggs , Shahn Majid