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Various models of quantum gravity imply the Planck-scale modifications of Heisenberg's uncertainty principle into a so-called generalized uncertainty principle (GUP). The GUP effects on high-energy physics, cosmology, and astrophysics have…

广义相对论与量子宇宙学 · 物理学 2017-04-18 Dongfeng Gao , Jin Wang , Mingsheng Zhan

The action principle is frequently used to derive the classical equations of motion. The action may also be used to associate group elements with curves in the space-time manifold, similar to the gauge transformations. The action principle…

广义相对论与量子宇宙学 · 物理学 2015-06-25 S. R. Vatsya

An equivalence between the $\mathrm{Schr\ddot{o}dinger}$ dynamics of a quantum system with a finite number of basis states and a classical dynamics is presented. The equivalence is an isomorphism that connects in univocal way both dynamical…

量子物理 · 物理学 2015-03-19 M. Caruso , H. Fanchiotti , C. A. Garcia Canal

Characteristic length scale of the post-Newtonian corrections to the gravitational field of a body is given by its gravitational radius r_g. The role of this scale in quantum domain is discussed in the context of the low-energy effective…

高能物理 - 理论 · 物理学 2009-11-10 Kirill A. Kazakov

This paper reviews the histories approach to quantum mechanics. This discussion is then applied to theories of quantum gravity. It is argued that some of the quantum histories must approximate (in a suitable sense) to classical histories,…

广义相对论与量子宇宙学 · 物理学 2009-07-24 Joe Henson

To date, both quantum theory, and Einstein's theory of general relativity have passed every experimental test in their respective regimes. Nevertheless, almost since their inception, there has been debate surrounding whether they should be…

量子物理 · 物理学 2016-11-02 A. D. K. Plato , C. N. Hughes , M. S. Kim

We describe a theory of quantum gravity which is based on the assumption that the spacetime structure at small distances is given by a piecewise linear (PL) 4-manifold corresponding to a triangulation of a smooth 4-manifold. The fundamental…

广义相对论与量子宇宙学 · 物理学 2018-07-18 Aleksandar Mikovic , Marko Vojinovic

We address three issues. i. The point particle assumption, inherent to non-quantum physics, is singular and entails divergent fields and integrals. ii. In quantum physics EM plays an asymmetric roll. It acts on quantum wave fields (wave…

经典物理 · 物理学 2022-07-01 Yousef Sobouti

The quantum ergotropy quantifies the maximal amount of work that can be extracted from a quantum state without changing its entropy. Given that the ergotropy can be expressed as the difference of quantum and classical relative entropies of…

量子物理 · 物理学 2021-08-26 Akira Sone , Sebastian Deffner

Although classical mechanics and quantum mechanics are separate disciplines, we live in a world where Planck's constant \hbar>0, meaning that the classical and quantum world views must actually {\it coexist}. Traditionally, canonical…

量子物理 · 物理学 2015-06-04 John R. Klauder

Emergent modified gravity is a post-Einsteinian gravitational theory where spacetime geometry is not fundamental but rather emerges from the gravitational degrees of freedom in a non-trivial way. The specific relationship between geometry…

广义相对论与量子宇宙学 · 物理学 2024-12-23 Martin Bojowald , Erick I. Duque , S. Shankaranarayanan

Consistent coupling of quantum and classical degrees of freedom exists so long as there is both diffusion of the classical degrees of freedom and decoherence of the quantum system. In this paper, we derive the Newtonian limit of such…

广义相对论与量子宇宙学 · 物理学 2024-07-30 Isaac Layton , Jonathan Oppenheim , Andrea Russo , Zachary Weller-Davies

Quantum gravity is expected to be necessary in order to understand situations where classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities, i.e. the fact that the backward evolution…

广义相对论与量子宇宙学 · 物理学 2016-10-19 Martin Bojowald

A possible connection between the electromagnetic quantum vacuum and inertia was first published by Haisch, Rueda and Puthoff (1994). If correct, this would imply that mass may be an electromagnetic phenomenon and thus in principle subject…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Bernard Haisch , Alfonso Rueda , L. J. Nickisch , Jules Mollere

In classical physics there is a well-known theorem in which it is established that the energy per degree of freedom is the same. However, in quantum mechanics due to the non-commutativity of some pairs of observables and the possibility of…

量子物理 · 物理学 2023-06-28 Esteban Marulanda , Alejandro Restrepo , Johans Restrepo

Quantum ergodicity, which expresses the semiclassical convergence of almost all expectation values of observables in eigenstates of the quantum Hamiltonian to the corresponding classical microcanonical average, is proven for…

数学物理 · 物理学 2009-10-31 Jens Bolte , Rainer Glaser

This study investigates the quantumness of gravity under the setup of the atomic interferometry from the viewpoint of mass-energy equivalence. We evaluated interference visibility considering a particle with internal energy levels in a…

广义相对论与量子宇宙学 · 物理学 2022-12-16 Youka Kaku , Shin'ya Maeda , Yasusada Nambu , Yuki Osawa

This talk presents: (a) A quantum-mechanically induced violation of the principle of equivalence, and (b) Gravitationally-induced modification to the wave particle duality. In this context I note that the agreement between the predictions…

广义相对论与量子宇宙学 · 物理学 2007-05-23 D. V. Ahluwalia

Lorentz symmetry violation (LV) was recently proposed to be testable with a new method, in which the effect of the violation is described as a certain local interaction [R. Shaniv, et al, PRL 120, 103202 (2018)]. We revisit this LV effect…

量子物理 · 物理学 2020-10-27 Baocheng Zhang

A possible discrepancy has been found between the results of a neutron interferometry experiment and Quantum Mechanics. This experiment suggests that the weak equivalence principle is violated at small length scales, which quantum mechanics…

高能物理 - 理论 · 物理学 2011-03-02 Ahmed Farag Ali
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