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We consider the motion of a particle in a uniform field in noncommutative space which is rotationally invariant. On the basis of exact calculations it is shown that there is an effect of coordinate noncommutativity on the mass of a…

量子物理 · 物理学 2016-02-15 Kh. P. Gnatenko , V. M. Tkachuk

Inspired by Einstein's Strong Principle of Equivalence we consider the effects of quantum mechanics to the gravity-like phenomena experienced by an observer in a uniformly accelerating motion in flat spacetime. Among other things, our model…

广义相对论与量子宇宙学 · 物理学 2024-04-17 Jarmo Mäkelä

The relationship between uniformly accelerated reference frames in flat spacetime and the uniform gravitational field is examined in a relativistic context. It is shown that, contrary to previous statements in the pages of this journal,…

广义相对论与量子宇宙学 · 物理学 2015-05-18 Gerardo Munoz , Preston Jones

Free fall in a uniform gravitational field is revisited in the case of quantum states with and without classical analogue. The interplay between kinematics and dynamics in the evolution of a falling quantum test particle is discussed…

量子物理 · 物理学 2009-12-30 Lorenza Viola , Roberto Onofrio

We analyze a quantum version of the weak equivalence principle, in which we compare the response of a static particle detector crossed by an accelerated cavity with the response of an accelerated detector crossing a static cavity in…

量子物理 · 物理学 2018-10-16 Erickson Tjoa , Robert B. Mann , Eduardo Martin-Martinez

Quantized space described by time reversal invariant and rotationally invariant noncommutative algebra of canonical type is studied. A particle in uniform field is considered. We find exactly the energy of a particle in uniform field in the…

高能物理 - 理论 · 物理学 2021-02-22 Kh. P. Gnatenko , Kh. I. Stakhur , A. V. Kryzhova

In this thesis we focus on the influence of uniform acceleration on quantum states and their properties, as well as on quantum entanglement contained in the vacuum. First, we analyze a quantum clock measuring time in terms of the decay of…

量子物理 · 物理学 2019-08-19 Krzysztof Lorek

We study the free-fall of a quantum particle in the context of noncommutative quantum mechanics (NCQM). Assuming noncommutativity of the canonical type between the coordinates of a two-dimensional configuration space, we consider a neutral…

高能物理 - 理论 · 物理学 2011-06-02 K. H. C. Castello-Branco , A. G. Martins

Einstein's equivalence principle in classical physics is a rule stating that the effect of gravitation is locally equivalent to the acceleration of an observer. The principle determines the motion of test particles uniquely (modulo very…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Andrzej Herdegen , Jaroslaw Wawrzycki

We address the old question of whether or not a uniformly accelerated charged particle radiates, and consequently, if weak equivalence principle is violated by electrodynamics. We show that radiation has different meanings; some absolute,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. Shariati , M. Khorrami

The assumed universality of the equivalence principle suggests that a particle in a gravitational field has identical physics to one in an accelerated frame. Yet, energy considerations prohibit radiation from a static particle in a…

广义相对论与量子宇宙学 · 物理学 2015-08-11 C. S. Unnikrishnan , George T. Gillies

We have previously presented a version of the Weak Equivalence Principle for a quantum particle as an exact analog of the classical case, based on the Heisenberg picture analysis of free particle motion. Here, we take that to a full…

广义相对论与量子宇宙学 · 物理学 2025-06-17 Otto C. W. Kong

A quantum particle moving in a gravitational field may penetrate the classically forbidden region of the gravitational potential. This raises the question of whether the time of flight of a quantum particle in a gravitational field might…

量子物理 · 物理学 2009-11-10 P. C. W. Davies

The principle of equivalence postulating that an acceleration is indistinguishable from gravity by any experiment, is valid within families of particles having the same passive gravitational to inertial mass ratio $m_p/m_i$. Presently…

综合物理 · 物理学 2018-04-06 Clovis Jacinto de Matos , Murat Özer , Grzegorz Lukasz Izworsk

We propose a new interpretation of the equivalence principle underlying Einstein's general relativity: a free-falling frame with gravitational force eliminated locally in a small spacetime region shows the existence of a boundary level,…

综合物理 · 物理学 2011-12-26 Izumi Ojima

Principle of Equivalence makes effects of classical gravity vanish in local inertial frames. What role does the Principle of Equivalence play as regards quantum gravitational effects in the local inertial frames? I address this question…

广义相对论与量子宇宙学 · 物理学 2020-10-01 T. Padmanabhan

A consistent theory of quantum gravity will require a fully quantum formulation of the classical equivalence principle. Such a formulation has been recently proposed in terms of the equality of the rest, inertial and gravitational mass…

广义相对论与量子宇宙学 · 物理学 2023-08-03 Saurya Das , Mitja Fridman , Gaetano Lambiase

Whenever an experiment can be described classically, quantum physics must predict the same outcome. Intuitively, there is nothing quantum about an accelerating observer travelling through a vacuum. It is therefore not surprising that many…

量子物理 · 物理学 2026-03-24 Sara Kanzi , Daniel Hodgson , Almut Beige

Can quantum-mechanical particles propagating on a fixed spacetime background be approximated as test bodies satisfying the weak equivalence principle? We ultimately answer the question in the negative but find that, when universality of…

广义相对论与量子宇宙学 · 物理学 2017-09-13 Luigi Seveso , Valerio Peri , Matteo G. A. Paris

We analyze the transformation of quantum fields under conformal coordinate transformations from inertial to accelerated frames, in the simple case of scalar massless fields in a two-dimensional spacetime, through the transformation of…

量子物理 · 物理学 2008-11-26 Marc-Thierry Jaekel , Serge Reynaud
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