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It is shown that weight operator of a composite quantum body in a weak external gravitational field in the post-Newtonian approximation of the General Relativity does not commute with its energy operator, taken in the absence of the field.…

General Relativity and Quantum Cosmology · Physics 2012-05-15 Andrei Lebed

We present an exact quantum observable analog of the weak equivalence principle for a `relativistic' quantum particle. The quantum geodesic equations are obtained from Heisenberg equations of motion as an exact analog of a fully covariant…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Otto C. W. Kong

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

It is commonly anticipated that gravity is subject to the standard principles of quantum mechanics. Yet some (including Einstein) have questioned that presumption, whose empirical basis is weak. Indeed, recently Freeman Dyson has emphasized…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Lawrence M. Krauss , Frank Wilczek

We investigate in this work the meaning of weak values through the prism of property ascription in quantum systems. Indeed, the weak measurements framework contains only ingredients of the standard quantum formalism, and as such weak…

Quantum Physics · Physics 2019-03-25 A. Matzkin

Gravitational well is a widely used system for the verification of the quantum weak equivalence principle (WEP). We have studied the quantum gravitational well (GW) under the shed of noncommutative (NC) space so that the results can be…

Quantum Physics · Physics 2022-08-01 Kalpana Biswas , Jyoti Prasad Saha , Pinaki Patra

The unification of quantum theory and the general theory of relativity - describing gravity, is one of the most important challenges in science. Einstein's general theory of relativity is based on the principle of equivalence, and has been…

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

Quantum mechanics and the theory of gravity are presently not compatible. A particular question is whether gravity causes decoherence - an unavoidable source of noise. Several models for gravitational decoherence have been proposed, not all…

Quantum Physics · Physics 2018-05-16 C. Pfister , J. Kaniewski , M. Tomamichel , A. Mantri , R. Schmucker , N. McMahon , G. Milburn , S. Wehner

We address estimation of the minimum length arising from gravitational theories. In particular, we provide bounds on precision and assess the use of quantum probes to enhance the estimation performances. At first, we review the concept of…

Quantum Physics · Physics 2020-09-16 Alessandro Candeloro , Cristian Degli Esposti Boschi , Matteo G. A. Paris

Witnessing non-classicality in the gravitational field has been claimed to be practically impossible. This constitutes a deep problem, which has even lead some researchers to question whether gravity should be quantised, due to the weakness…

Quantum Physics · Physics 2017-04-04 Chiara Marletto , Vlatko Vedral

We prove that a quantum circuit together with measurement apparatuses and EPR sources can be fully verified without any reference to some other trusted set of quantum devices. Our main assumption is that the physical system we are working…

Quantum Physics · Physics 2007-05-23 Frederic Magniez , Dominic Mayers , Michele Mosca , Harold Ollivier

Most theories that predict time and/or space variation of fundamental constants also predict violations of the Weak Equivalence Principle (WEP). Khoury and Weltmann proposed the chameleon model in 2004 and claimed that this model avoids…

General Relativity and Quantum Cosmology · Physics 2016-06-13 Lucila Kraiselburd , Susana J. Landau , Marcelo Salgado , Daniel Sudarsky

Einstein's equivalence principle suggests a deep connection between matter and spacetime, prompting the question: if matter violates parity, must gravity? This letter explores the detection of parity violation in gravity using gravitational…

General Relativity and Quantum Cosmology · Physics 2025-07-25 Indranil Chakraborty , Susmita Jana , S. Shankaranarayanan

Attempts to formulate a quantum theory of gravitation are collectively known as {\it quantum gravity}. Various approaches to quantum gravity such as string theory and loop quantum gravity, as well as black hole physics and doubly special…

High Energy Physics - Theory · Physics 2011-12-25 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

We discuss our understanding of the equivalence principle in both classical mechanics and quantum mechanics. We show that not only does the equivalence principle hold for the trajectories of quantum particles in a background gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Philip D. Mannheim

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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. V. Ahluwalia

We compare the sensitivity of a recent bound on time variation of the fine structure constant from optical clocks with bounds on time varying fundamental constants from atomic clocks sensitive to the electron-to-proton mass ratio, from…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-26 Thomas Dent

We describe SR-POEM, a Galilean test of the weak equivalence principle that is to be conducted during the free fall portion of the flight of a sounding rocket payload. This test of a single pair of substances will have a measurement…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Robert D. Reasenberg , Biju R. Patla , James D. Phillips , Rajesh Thapa

Quantum mechanics does not permit joint measurements of non-commuting observables. However, it is possible to measure the weak value of a projection operator, followed by the precise measurement of a different property. The results can be…

Quantum Physics · Physics 2015-02-25 Holger F. Hofmann