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The universality of free fall is one of the most cherished principles in classical gravity. Its fate in the quantum world is one of the key questions in fundamental physics. We investigate the universality of free fall in the context of…

General Relativity and Quantum Cosmology · Physics 2025-10-03 Giuseppe Fabiano , Domenico Frattulillo , Christian Pfeifer , Fabian Wagner

Gravity gradient is known as a serious systematic effect in atomic tests of the universality of free fall, where the initial central position and velocity of atoms need to be exactly controlled. In this paper, we study quantum free fall…

Quantum Physics · Physics 2020-01-15 M. Zhang , Y. Wang

It is argued that (a) In the quantum realm test-particle masses have non-trivial observability which induces a non-geometric element in gravity, (b) Any theory of quantum gravity, on fundamental grounds, must contain an element of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. V. Ahluwalia

We propose an approach that allows to systematically take into account gravity in quantum particle physics. It is based on quantum field theory and the general principle of relativity. These are used to build a model for quantum particles…

High Energy Physics - Theory · Physics 2022-04-14 Viacheslav A. Emelyanov

The weak equivalence principle of gravity is examined at the quantum level in two ways. First, the position detection probabilities of particles described by a non-Gaussian wave-packet projected upwards against gravity around the classical…

Quantum Physics · Physics 2011-12-30 P. Chowdhury , D. Home , A. S. Majumdar , S. V. Mousavi , M. R. Mozaffari , S. Sinha

Investigation into the applicability of the equivalence principle in quantum mechanics has taken many forms, with varying conclusions. Here, a dynamical semi-classical description of a wave packet in terms of its center of mass and higher…

Quantum Physics · Physics 2023-10-16 Joseph Balsells , Martin Bojowald

It is shown that certain structures in classical General Relativity can give rise to non-classical logic, normally associated with Quantum Mechanics. A 4-geon model of an elementary particle is proposed which is asymptotically flat,…

Quantum Physics · Physics 2024-01-03 Mark J. Hadley

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…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Luigi Seveso , Valerio Peri , Matteo G. A. Paris

We consider the motion of a massive particle in a static, weakly-curved spacetime where the gravitational field is taken to be quantized. We find that Newton's law of free-fall is modified by quantum-gravitational corrections, in addition…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Samarth Chawla , Maulik Parikh

The basic premise of Quantum Mechanics, embodied in the doctrine of wave-particle duality, assigns both, a particle and a wave structure to the physical entities. The classical laws describing the motion of a particle and the evolution of a…

Quantum Physics · Physics 2007-05-23 S. R. Vatsya

So far, none of attempts to quantize gravity has led to a satisfactory model that not only describe gravity in the realm of a quantum world, but also its relation to elementary particles and other fundamental forces. Here, we outline the…

General Relativity and Quantum Cosmology · Physics 2021-11-29 Houri Ziaeepour

Classical and quantum mechanical descriptions of motion are fundamentally different. The universality of free fall (UFF) is a distinguishing feature of the classical motion (which has been verified with astonishing precision), while quantum…

Quantum Physics · Physics 2024-05-14 Juan A. Cañas , A. Martín-Ruiz , J. Bernal

Some of the possible consequences of a generalized uncertainty principle (which emerges in the context of string theory and quantum gravity models as a consequence of fluctuations of the background metric) are analyzed considering the case…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abel Camacho

For the purpose of analyzing observed phenomena, it has been convenient, and thus far sufficient, to regard gravity as subject to the deterministic principles of classical physics, with the gravitational field obeying Newton's law or…

High Energy Physics - Theory · Physics 2021-08-25 Maulik Parikh , Frank Wilczek , George Zahariade

Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being "classical" or "quantum" ceases to be a basic conceptual difference. The dynamics differs,…

Quantum Physics · Physics 2015-05-13 C. Wetterich

We investigate gravitational collapse in the context of quantum mechanics. We take primary interest in the behavior of the collapse near the horizon and near the origin (classical singularity) from the point of view of an infalling…

General Relativity and Quantum Cosmology · Physics 2009-01-07 Eric Greenwood , Dejan Stojkovic

A Newtonian approach to quantum gravity is studied. At least for weak gravitational fields it should be a valid approximation. Such an approach could be used to point out problems and prospects inherent in a more exact theory of quantum…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Johan Hansson

We show by embodying the Einstein equivalence principle - local Poincar\'{e} invariance - and general covariance in quantum theory that wave-function spreading rules out the universality of free fall, i.e. the free-fall trajectory of a…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Viacheslav A. Emelyanov

The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theory lead to this result. The key ingredients…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Luis J. Garay

All objects in 4D spacetime may in principle travel on null paths in a 5D mani-fold. We use this, together with a change in the extra coordinate and the signature of the metric, to construct a simple model of a classical universe and a…

General Relativity and Quantum Cosmology · Physics 2009-03-17 Paul S. Wesson
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