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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

We review several theoretical aspects of the Equivalence Principle (EP). We emphasize the unsatisfactory fact that the EP maintains the absolute character of the coupling constants of physics while General Relativity, and its…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Thibault Damour

We address the question whether quantum probes in a gravitational field can be considered as test particles obeying the weak equivalence principle (WEP). A formulation of the WEP is proposed which applies also in the quantum regime, while…

General Relativity and Quantum Cosmology · Physics 2017-05-18 Luigi Seveso , Matteo G. A. Paris

We show how modern methods can be applied to quantum gravity at low energy. We test how quantum corrections challenge the classical framework behind the Equivalence Principle, for instance through introduction of non-locality from quantum…

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

Free fall in a uniform gravitational field is revisited in the case of quantum states with and without classical analogue. The interplay between kinematics and dynamics in the evolution of a falling quantum test particle is discussed…

Quantum Physics · Physics 2009-12-30 Lorenza Viola , Roberto Onofrio

We investigate the possibility of testing of the Einstein Equivalence Principle (EEP) using measurements of anomalous magnetic moments of elementary particles. We compute the one loop correction for the $g-2$ anomaly within the class of non…

General Relativity and Quantum Cosmology · Physics 2010-01-06 C. Alvarez , R. B. Mann

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

Heisenberg's uncertainty principle, coherence and Bell nonlocality have been individually examined through many experiments. In this Letter, we systematically characterize all of this quantumness in a unified manner. We first construct…

We consider the empirical validity of the equivalence principle for non-baryonic matter. Working in the context of the TH\epsilon\mu formalism, we evaluate the constraints experiments place on parameters associated with violation of the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 C. Alvarez , R. B. Mann

We propose an EPR inequality based on an entropic uncertainty relation for complementary continuous variable observables. This inequality is more sensitive than the previously established EPR inequality based on inferred variances, and…

Quantum Physics · Physics 2009-07-27 S. P. Walborn , A. Salles , R. M. Gomes , F. Toscano , P. H. Souto Ribeiro

We propose the experimental test of the uncertainty principle. From sub-quantum models it follows that the uncertainty principle may be not true on short time intervals of the order of a picosecond. The positive result of this experiment…

Quantum Physics · Physics 2007-05-23 Jiri Soucek

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 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 equivalence principle (EP), as well as Schiff's conjecture, are discussed (en passant), and the connection between the EP and quantum mechanics is then briefly analyzed. Two semiclassical violations of the classical equivalence…

High Energy Physics - Theory · Physics 2017-12-01 Antonio Accioly , Wallace Herdy

According to this principle (EEP), in order that the local physical laws cannot change, after changes of velocity and potentials of a measuring system, the relativistic changes of any particle and any stationary radiation (like those used…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael A. Vera

We consider the subtleties involved in the application of the Equivalence Theorem to the decay of an unstable Higgs particle. This is formally justified from consideration of unitarity and resonant elastic scattering of the stable decay…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. S. Willey

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 2009-10-31 Claus Lämmerzahl

We present a detailed non-perturbative analysis of the time-evolution of a well-known quantum-mechanical system - a particle between potential walls - describing the decay of unstable states. For sufficiently high barriers, corresponding to…

Quantum Physics · Physics 2010-12-14 U. G. Aglietti , P. M. Santini

The existence of incompatible measurements, epitomized by Heisenberg's uncertainty principle, is one of the distinctive features of quantum theory. So far, quantum incompatibility has been studied for measurements that test the preparation…

Quantum Physics · Physics 2017-03-16 Michal Sedlak , Daniel Reitzner , Giulio Chiribella , Mario Ziman
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