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A semiclassical description of quantum systems is applied to probe the dynamics of the cosmological model of an inflationary universe with quadratic inflaton potential, described in a quantum framework of geometrodynamics. The systematic…

广义相对论与量子宇宙学 · 物理学 2022-10-27 David Brizuela , Tomasz Pawlowski

With approaching quantum/noncommutative models for the deep microscopic spacetime in mind, and inspired by our recent picture of the (projective) Hilbert space as the model of physical space behind basic quantum mechanics, we reformulate…

量子物理 · 物理学 2021-01-13 Chuan Sheng Chew , Otto C. W. Kong , Jason Payne

We show that the classical mechanics of an algebraic model are implied by its quantizations. An algebraic model is defined, and the corresponding classical and quantum realizations are given in terms of a spectrum generating algebra.…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , David J. Rowe

The properties of the quantum universe on extremely small spacetime scales are studied in the semi-classical approach to the well-defined quantum model. It is shown that near the initial cosmological singularity point quantum gravity…

广义相对论与量子宇宙学 · 物理学 2010-04-30 V. E. Kuzmichev , V. V. Kuzmichev

Over the last three years, a number of fundamental physical issues were addressed in loop quantum gravity. These include: A statistical mechanical derivation of the horizon entropy, encompassing astrophysically interesting black holes as…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Abhay Ashtekar

In order to study the "problem of time", Rovelli proposed a model of a two harmonic oscillator system where one of the oscillators can be thought of as a 'clock' for the other oscillator. In this paper we examine a model where the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Yoshiaki Ohkuwa

The time evolution of black holes involves both the canonical equations of quantum gravity and the statistical mechanics of Hawking radiation, neither of which contains a time variable. In order to introduce the time, we apply the…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Roberto Casadio

A theory of quantum gravity consists of a gravitational framework which, unlike general relativity, takes into account the quantum character of matter. In spite of impressive advances, no fully satisfactory, self-consistent and empirically…

广义相对论与量子宇宙学 · 物理学 2025-06-23 R. Muciño , E. Okon , D. Sudarsky , M. Wiedemann

We study the gravitational perturbations of black holes in quadratic gravity, in which the Einstein-Hilbert term is supplemented by quadratic terms in the curvature tensor. In this class of theories, the Schwarzschild solution can coexist…

广义相对论与量子宇宙学 · 物理学 2025-05-05 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

We report on some properties of a quantum black hole obtained recently. The correction to the Newtonian gravitational potential is proportional to a coupling $\alpha$, which is the only free parameter of the theory. We constrain the…

广义相对论与量子宇宙学 · 物理学 2025-08-01 Grigoris Panotopoulos , Francisco Tello-Ortiz

Shape dynamics is a classical theory of gravity which agrees with general relativity in many important aspects, but which possesses different gauge symmetries and can present some fundamental global differences with respect to Einstein…

广义相对论与量子宇宙学 · 物理学 2014-10-07 Henrique Gomes , Gabriel Herczeg

In this work, we consider a semiclassical description of the spherically symmetric gravitational collapse with a massless scalar field. In particular, we employ an effective scenario provided by holonomy corrections from loop quantum…

广义相对论与量子宇宙学 · 物理学 2014-05-21 Yaser Tavakoli , Joao Marto , Andrea Dapor

Inhomogeneous quantum cosmology is modeled as a dynamical system of discrete patches, whose interacting many-body equations can be mapped to a non-linear minisuperspace equation by methods analogous to Bose-Einstein condensation.…

广义相对论与量子宇宙学 · 物理学 2012-12-18 Martin Bojowald , Alexander L. Chinchilli , Christine C. Dantas , Matthew Jaffe , David Simpson

We study the quantum fermions+gravity system, that is, the gravitational counterpart of QED. We start from the standard Einstein-Weyl theory, reformulated in terms of Ashtekar variables; and we construct its non- perturbative quantum theory…

广义相对论与量子宇宙学 · 物理学 2009-10-22 H A Marales-Tecotl , C Rovelli

Often, geometries with horizons offer insights into the intricate relationships between general relativity and quantum physics. However, some subtle aspects of gravitating quantum systems might be difficult to ascertain using static…

广义相对论与量子宇宙学 · 物理学 2009-11-19 James Lindesay

We investigate the construction of coherent states for quantum theories of connections based on graphs embedded in a spatial manifold, as in loop quantum gravity. We discuss the many subtleties of the construction, mainly related to the…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Daniele Oriti , Roberto Pereira , Lorenzo Sindoni

We consider the Hamiltonian dynamics and thermodynamics of spherically symmetric spacetimes within a one-parameter family of five-dimensional Lovelock theories. We adopt boundary conditions that make every classical solution part of a black…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Jorma Louko , Jonathan Z. Simon , Stephen N. Winters-Hilt

We derive a "classical-quantum" approximation scheme for a broad class of bipartite quantum systems from fully quantum dynamics. In this approximation, one subsystem evolves via classical equations of motion with quantum corrections, and…

量子物理 · 物理学 2023-06-05 Viqar Husain , Irfan Javed , Sanjeev S. Seahra , Nomaan X

Intrinsic time quantum geometrodynamics resolved `the problem of time' and bridged the deep divide between quantum mechanics and canonical quantum gravity with a Schrodinger equation which describes evolution in intrinsic time variable. In…

广义相对论与量子宇宙学 · 物理学 2016-01-18 Huei-Chen Lin , Chopin Soo

We construct a class of systems for which quantum dynamics can be expanded around a mean field approximation with essentially classical content. The modulus of the quantum overlap of mean field states naturally introduces a classical…