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We emphasize that a specific aspect of quantum gravity is the absence of a super-selection rule that prevents a linear superposition of different gravitational charges. As an immediate consequence, we obtain a tiny, but observable,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 G. Z. Adunas , E. Rodriguez-Milla , D. V. Ahluwalia

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

Assuming the validity of the equivalence principle in the quantum regime, we argue that one of the assumptions of the usual definition of quantum mechanics, namely separation between the ``classical'' detector and the ``quantum'' system,…

量子物理 · 物理学 2025-01-13 Giorgio Torrieri

The principle of equivalence in gravitational physics and its mathematical base are reviewed. It is demonstrated how this principle can be realized in classical electrodynamis. In general, it is valid at any given single point or along a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Bozhidar Z. Iliev

The role of the equivalence principle in the context of non-relativistic quantum mechanics and matter wave interferometry, especially atom beam interferometry, will be discussed. A generalised form of the weak equivalence principle which is…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Claus Lämmerzahl

The equivalence principle, being one of the building blocks of general relativity, seems to be also crucial for analysis of quantum effects in gravity. In this paper we consider the question if the equivalence principle has to hold for…

量子物理 · 物理学 2023-12-06 Marcin Nowakowski

The transverse group associated to some continuous quantum measuring processes is analyzed in the presence of nonvanishing gravitational fields. This is done considering, as an exmaple, the case of a particle whose coordinates are being…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Abel Camacho Quintana

We develop a framework to test the Equivalence Principle (EP) under conditions where the quantum aspects of nature cannot be neglected, specifically in the context of interference phenomena with unstable particles. We derive the…

广义相对论与量子宇宙学 · 物理学 2013-06-25 Y. Bonder , E. Fischbach , H. Hernandez-Coronado , D. E. Krause , Z. Rohrbach , D. Sudarsky

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 consider an extension of the recent experiment with ultracold neutrons and the quantization of its vertical motion in order to test the Weak Equivalence Principle. We show that an improvement on the energy resolution of the experiment…

高能物理 - 唯象学 · 物理学 2017-08-23 O. Bertolami , F. M. Nunes

The quantum version of the free fall problem is a topic often skipped in undergraduate quantum mechanics courses because its discussion usually requires wavepackets built on the Airy functions -- a difficult computation. Here, on the…

综合物理 · 物理学 2024-06-19 Andrea Colcelli , Giuseppe Mussardo , German Sierra , Andrea Trombettoni

The quantum analogue of Galileo's leaning tower experiment is revisited using wave packets evolving under the gravitational potential. We first calculate the position detection probabilities for particles projected upwards against gravity…

量子物理 · 物理学 2009-11-13 Md. Manirul Ali , A. S. Majumdar , Dipankar Home , Alok Kumar Pan

The role of the equivalence principle in the context of non-relativistic quantum mechanics and matter wave interferometry, especially atom beam interferometry, will be discussed. A generalised form of the weak equivalence principle which is…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Claus Lämmerzahl

Interplays between quantum physics and gravity have long inspired exciting studies, which reveal subtle connections between quantum laws and the general notion of curved spacetime. One important example is the uniqueness of free-falling…

量子物理 · 物理学 2018-12-11 Peng Xu , Li-E Qiang

In this work, a precise quantum formulation of Einstein's Equivalence Principle (EEP) is developed within the framework of nonrelativistic quantum mechanics. By employing detailed analyses in both the Schr\"odinger and Heisenberg pictures,…

量子物理 · 物理学 2025-03-03 S. A. Torres

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

A precise formulation of the strong Equivalence Principle is essential to the understanding of the relationship between gravitation and quantum mechanics. The relevant aspects are reviewed in a context including General Relativity, but…

广义相对论与量子宇宙学 · 物理学 2007-05-23 R. Aldrovandi , P. B. Barros , J. G. Pereira

We suggest that quantum mechanics and gravity are intimately related. In particular, we investigate the quantum Hamilton-Jacobi equation in the case of two free particles and show that the quantum potential, which is attractive, may…

高能物理 - 理论 · 物理学 2018-06-20 Marco Matone

The implementation of Einstein's principle of equivalence in Koopman-von Neumann (KvN) mechanics is discussed. The implementation is very similar to the implementation of this principle in quantum mechanics. This is not surprising, because…

广义相对论与量子宇宙学 · 物理学 2020-09-28 Abhijit Sen , Shailesh Dhasmana , Zurab K. Silagadze

As shown previously, quantum mechanics directly violates the weak equivalence principle in general and in all dimensions, and thus indirectly violates the strong equivalence principle in all dimensions. The present paper shows that quantum…

综合物理 · 物理学 2008-11-26 Mario Rabinowitz