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In general relativity, cosmology and quantum field theory, spacetime is assumed to be an orientable manifold endowed with a Lorentz metric that makes it spatially and temporally orientable. The question as to whether the laws of physics…

广义相对论与量子宇宙学 · 物理学 2023-06-08 N. A. Lemos , D. Müller , M. J. Reboucas

The standard formulation of quantum theory relies on a fixed space-time metric determining the localisation and causal order of events. In general relativity, the metric is influenced by matter, and is expected to become indefinite when…

量子物理 · 物理学 2020-06-08 Esteban Castro-Ruiz , Flaminia Giacomini , Alessio Belenchia , Časlav Brukner

We proved that under quantum mechanics a momentum-energy and a space-time are dual vector spaces on an almost complex manifold in position representation, and the minimal uncertainty relations are equivalent to the inner-product relations…

综合物理 · 物理学 2007-09-03 You-gang Feng

We argue that (1) our perception of time through change and (2) the gap between reality and our observation of it are at the heart of both quantum mechanics and the dynamical mechanism of physical systems. We suggest that the origin of…

综合物理 · 物理学 2014-07-15 Michael York

A mathematical formalism for treating spacetime topology as a quantum observable is provided. We describe spacetime foam entirely in algebraic terms. To implement the correspondence principle we express the classical spacetime manifold of…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Ioannis Raptis , Roman R. Zapatrin

We analyze the limits that quantum mechanics imposes on the accuracy to which $(4+n)$-dimensional spacetime geometry can be measured. Using physics of computation and light sheet concept we derive explicit expressions for quantum…

高能物理 - 理论 · 物理学 2008-11-26 Pavle Midodashvili

The interplay between thermodynamics, general relativity and quantum mechanics has long intrigued researchers. Recently, important advances have been obtained in thermodynamics, mainly regarding its application to the quantum domain through…

广义相对论与量子宇宙学 · 物理学 2025-02-07 Marcos L. W. Basso , Jonas Maziero , Lucas Chibebe Céleri

Spacetime foam can be modeled in terms of nonlocal effective interactions in a classical nonfluctuating background. Then, the density matrix for the low-energy fields evolves, in the weak-coupling approximation, according to a master…

广义相对论与量子宇宙学 · 物理学 2016-08-25 Luis J. Garay

Non-commutative spacetime and quantum groups have been argued to capture non-classical features of spacetime and its symmetries in the low-energy limit of quantum gravity. In this letter, we show that employing the $SU_q(2)$ quantum group…

量子物理 · 物理学 2026-05-29 Vittorio D'Esposito , Giuseppe Fabiano , Domenico Frattulillo

A simple model of spacetime foam, made by N wormholes in a semiclassical approximation, is taken under examination. The Casimir-like energy of the quantum fluctuation of such a model and its probability of being realized are computed.…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Remo Garattini

Quantum gravitational effects, on the one hand, lead to a limitation in the accuracy of measuring spatial and time intervals, and, on the other hand, they generate a discrete of spacetime structure (quantum foam). The common source of both…

广义相对论与量子宇宙学 · 物理学 2024-07-17 Yu. L. Bolotin , V. V. Yanovsky

The expectation that it should not be possible to gain experimental insight on the structure of space-time at Planckian distance scales has been recently challenged by several studies. With respect to space-time fluctuations, one of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Giovanni Amelino-Camelia

In curved spacetimes, the lack of criteria for the construction of a unique quantization is a fundamental problem undermining the significance of the predictions of quantum field theory. Inequivalent quantizations lead to different physics.…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Jeronimo Cortez , Guillermo A. Mena Marugan , Javier Olmedo , Jose M. Velhinho

We argue that the notion of identical particles is no longer well defined in quantum systems governed by non-commutative deformations of space-time symmetries. Such models are characterized by four-momentum space given by a non-abelian Lie…

高能物理 - 理论 · 物理学 2023-03-15 Michele Arzano , Jerzy Kowalski-Glikman

The possibility is raised that the observed cosmological matter-antimatter asymmetry may reside in asymmetric space-time fluctuations and their interplay with the St\"ckelberg-Feynman interpretation of antimatter. The presented thesis also…

天体物理学 · 物理学 2008-11-26 D. V. Ahluwalia , M. Kirchbach

What do simple clocks, simple computers, black holes, space-time foam, and holographic principle have in common? I will show that the physics behind them is inter-related, linking together our concepts of information, gravity, and quantum…

高能物理 - 理论 · 物理学 2007-05-23 Y. Jack Ng

Quantum non-local correlations and the acausal, spooky action at a distance suggest a discord between quantum theory and special relativity. We propose a resolution for this discord by first observing that there is a problem of time in…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Shreya Banerjee , Sayantani Bera , T. P. Singh

This paper presents the uncertainty related to position and momentum localization of a quantum state in terms of entropic uncertainty relations. We slightly improve the inequality given in [Phys. Rev. A 74, 052101 (2006)] and introduce a…

量子物理 · 物理学 2010-10-19 Łukasz Rudnicki

A possibility to describe quantum gravitational fluctuations of the spacetime background is provided by virtual $D$-branes. These effects may induce a tiny violation of the Lorentz invariance (as well as a possible violation of the…

广义相对论与量子宇宙学 · 物理学 2023-06-19 Saurya Das , Gaetano Lambiase , Elias C. Vagenas

Due to quantum fluctuations, probed at small scales, spacetime is very complicated -- something akin in complexity to a turbulent froth which the late John Wheeler dubbed quantum foam, aka spacetime foam. Our recent work suggests that (1)…

广义相对论与量子宇宙学 · 物理学 2010-01-05 Y. Jack Ng