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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

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,…

Quantum Physics · Physics 2025-03-03 S. A. Torres

The Einstein Equivalence Principle (EEP), stating that all laws of physics take their special-relativistic form in any local inertial (classical) reference frame, lies at the core of general relativity. Because of its fundamental status,…

Quantum Physics · Physics 2023-06-23 Flaminia Giacomini , Časlav Brukner

The covariance of the Schr\"odinger equation under Galilei boosts and the compatibility of nonrelativistic quantum mechanics with Einstein's equivalence principle have been constrained for so long to the existence of a superselection rule…

Quantum Physics · Physics 2015-02-13 S. T. Pereira , R. M. Angelo

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…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Andrzej Herdegen , Jaroslaw Wawrzycki

We consider possible tests of the Einstein Equivalence Principle for physical systems in which quantum-mechanical vacuum energies cannot be neglected. Specific tests include a search for the manifestation of non-metric effects in Lamb-shift…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Alvarez , R. B. Mann

Gravitation, according to General Relativity, is an attribute of space-time's geometry and hence not a force in the Newtonian sense. This is a consequence of Einstein's equivalence principle, which so far passed all experimental tests with…

Popular Physics · Physics 2013-09-10 Domenico Giulini

Validity of just a few physical conditions comprising the Einstein Equivalence Principle (EEP) suffices to ensure that gravity can be understood as space-time geometry. EEP is therefore subject to an ongoing experimental verification, with…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Magdalena Zych , Caslav Brukner

The Einstein equivalence principle is based on the equality of gravitational mass and inertial mass, which has led to the universality of a free-fall concept. The principle has been extremely well tested so far and has been tested with a…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Sougato Bose , Anupam Mazumdar , Martine Schut , Marko Toroš

Bargmann's superselection rule, which forbids the existence of superpositions of states with different mass and, therefore, implies the impossibility of describing unstable particles in non-relativistic quantum mechanics, arises as a…

Quantum Physics · Physics 2013-07-31 H. Hernandez-Coronado

We challenge the view that there is a basic conflict between the fundamental principles of Quantum Theory and General Relativity, and in particular the fact that a superposition of massive bodies would lead to a violation of the Equivalence…

Quantum Physics · Physics 2022-01-06 Flaminia Giacomini , Časlav Brukner

The Einstein Equivalence Principle (EEP) is of crucial importance to test the foundations of general relativity. When the particles involved in the test exhibit quantum properties, it is unknown whether this principle still holds. A…

Quantum Physics · Physics 2024-10-10 Carlo Cepollaro , Flaminia Giacomini

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 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

Gravitational response of real objects is a fascinating topic. Einstein formalized the Galileo-Newton ideas of equality of free falls into complete physical equivalence or the Principle of Equivalence [Albert Einstein, The meaning of…

General Relativity and Quantum Cosmology · Physics 2009-08-27 Timir Datta , Ming Yin

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…

General Relativity and Quantum Cosmology · Physics 2020-09-28 Abhijit Sen , Shailesh Dhasmana , Zurab K. Silagadze

The Einstein Equivalence Principle (EEP) has a central role in the understanding of gravity and space-time. In its weak form, or Weak Equivalence Principle (WEP), it directly implies equivalence between inertial and gravitational mass.…

Atomic Physics · Physics 2017-06-15 G. Rosi , G. D'Amico , L. Cacciapuoti , F. Sorrentino , M. Prevedelli , M. Zych , C. Brukner , G. M. Tino

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…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Saurya Das , Mitja Fridman , Gaetano Lambiase

The Einstein Equivalence Principle (EEP) carries a pivotal role in understanding theory of gravity and spacetime. It guarantees the gravity to be understood as geometric phenomenon. Considering gravitational coupling of matter in the…

General Relativity and Quantum Cosmology · Physics 2021-07-21 ChengGang Qin , YuJie Tan , ChengGang Shao

We investigate the particle-antiparticle symmetry of the gravitationally coupled Dirac equation, both on the basis of the gravitational central-field problem and in general curved space-time backgrounds. First, we investigate the…

General Physics · Physics 2019-12-20 U. D. Jentschura
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