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The Equivalence Principle (EP) is at the heart of General Relativity (GR), tested in many aspects. It is often used to discuss qualitatively the influence of gravity on physical phenomena. But can this be made more precise? We compare clock…

General Relativity and Quantum Cosmology · Physics 2023-11-29 Peter C. Aichelburg

While there is a rigorously proven relationship about uncertainties intrinsic to any quantum system, often referred to as "Heisenberg's Uncertainty Principle," Heisenberg originally formulated his ideas in terms of a relationship between…

The confrontation between Einstein's gravitation theory and experimental results, notably binary pulsar data, is summarized and its significance discussed. Experiment and theory agree at the 10^{-3} level. All the basic structures of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour

The equivalence principle of gravity is examined at the quantum level using the diffraction in time of matter waves in two ways. First, we consider a quasi-monochromatic beam of particles incident on a shutter which is removed at time $t =…

Quantum Physics · Physics 2022-07-12 Juan A. Cañas , J. Bernal , A. Martín-Ruiz

Our conventional system of physical units is based on local or microscopic {\it dimensional} quantities which are {\it defined}, for convenience or otherwise aesthetic reasons, to be spacetime-independent. A more general choice of units may…

General Physics · Physics 2013-08-06 Meir Shimon

We revise the extended uncertainty relations for the Rindler and Friedmann spacetimes recently discussed by Dabrowski and Wagner in [9]. We reveal these results to be coordinate dependent expressions of the invariant uncertainty relations…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Thomas Schürmann

Einstein`s equivalence principle states the complete physical equivalence of a gravitational field and corresponding inertial field in an accelerated reference frame. However, to what extent the equivalence principle remains valid in…

Quantum Physics · Physics 2018-02-14 Stefano Longhi

With Verlinde's recent proposal which says that gravity can be identified with an entropic force and considering the effects of generalized uncertainty principle in the black hole entropy-area relation we derive the modified equations for…

General Relativity and Quantum Cosmology · Physics 2013-11-11 Barun Majumder

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…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Claus Lämmerzahl

The standard argument for the validity of Einstein's equivalence principle in a non-relativistic quantum context involves the application of a mass superselection rule. It is surprising that the consistency between such an important…

Quantum Physics · Physics 2014-02-17 H. Hernandez-Coronado , E. Okon

General relativity differs from other forces in nature in that it can be made to disappear locally. This is the essence of the equivalence principle. In general relativity the equivalence principle is implemented using differential…

General Relativity and Quantum Cosmology · Physics 2012-03-14 Olaf Dreyer

Since the advent of quantum mechanics we have mainly been concerned with its predictions from the perspective of an external observer. This is in strong contrast to the theory of general relativity, where the physics is governed by the…

Quantum Physics · Physics 2014-11-17 Dries Sels , Michiel Wouters

In this note we generalize the quantum uncertainty relation proposed by Vancea and Santos [7] in the entropic force law, by introducing Planck scale modifications. The latter is induced by the Generalized Uncertainty Principle. We show that…

High Energy Physics - Theory · Physics 2015-03-13 Subir Ghosh

This paper formulates generalized versions of the general principle of relativity and of the principle of equivalence that can be applied to general abstract spaces. It is shown that when the principles are applied to the Hilbert space of a…

Quantum Physics · Physics 2020-01-14 Guy Hetzroni

It is pointed out that at present we only prove that inertial static mass and gravitational static mass are equivalent. We have not proved that inertial moving mass and gravitational moving mass are also equivalent. It is proved by the…

General Physics · Physics 2007-05-23 Mei Xiaochun

We study the equivalence principle and its violations by quantum effects in scalar-tensor theories that admit a conformal frame in which matter only couples to the spacetime metric. These theories possess Ward identities that guarantee the…

High Energy Physics - Theory · Physics 2013-05-30 Cristian Armendariz-Picon , Riccardo Penco

Consistency relations involving the soft limit of the (n + 1)-correlator functions of dark matter and galaxy overdensities can be obtained, both in real and redshift space, thanks to the symmetries enjoyed by the Newtonian equations of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Alexandros Kehagias , Jorge Noreña , Hideki Perrier , Antonio Riotto

The Einstein equivalence principle is certainly a key element in the development of new enhanced theories of gravity. Although being an important building block in Einstein's general relativity, theoretically predicted violations of its…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Oliver Preuss

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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Aldrovandi , P. B. Barros , J. G. Pereira

Without a complete theory of quantum gravity, the question of how quantum fields and quantum particles behave in a superposition of spacetimes seems beyond the reach of theoretical and experimental investigations. Here we use an extension…