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Decompositional equivalence is the principle that there is no preferred decomposition of the universe into subsystems. It is shown here, by using simple thought experiments, that quantum theory follows from decompositional equivalence…

Quantum Physics · Physics 2016-11-10 Chris Fields

General Relativity is today the best theory of gravity addressing a wide range of phenomena. Our understanding of physical laws, from cosmology to local scales, cannot be properly formulated without taking into account it. It is based on…

General Relativity and Quantum Cosmology · Physics 2020-06-16 G. M. Tino , L. Cacciapuoti , S. Capozziello , G. Lambiase , F. Sorrentino

The linear superposition principle in quantum mechanics is essential for several no-go theorems such as the no-cloning theorem, the no-deleting theorem and the no-superposing theorem. It remains an open problem of finding general forbidden…

Quantum Physics · Physics 2018-06-26 Ming-Xing Luo , Hui-Ran Li , Hong Lai , Xiaojun Wang

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 ask the question how the (weak) equivalence principle established in classical gravitational physics should be reformulated and interpreted for massive quantum objects that may also have internal degrees of freedom (dof). This inquiry is…

Quantum Physics · Physics 2018-02-14 Charis Anastopoulos , Bei-Lok Hu

An interpretation and re-formulation of modern physics which removes the presumption of the space-time continuum, and bases physical theory on a small number of rational and empirical principles. After briefly describing the philosophical…

General Physics · Physics 2014-05-13 Charles Francis

A simple mapping procedure is presented by which classical orbits and path integrals for the motion of a point particle in flat space can be transformed directly into those in curved space with torsion. Our procedure evolved from…

Quantum Physics · Physics 2008-02-03 H. Kleinert

We show that there exists a choice of scalar field modes, such that the evolution of the quantum field in the zero-mass and large-mass limits is consistent with the Einstein equations for the background geometry. This choice of modes is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leonard Parker , Alpan Raval

The Equivalence Principle (EP) is not one of the ``universal'' principles of physics (like the Action Principle). It is a heuristic hypothesis which was introduced by Einstein in 1907, and used by him to construct his theory of General…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Thibault Damour

In this letter, we propose and experimentally test a quantumness criterion for single systems. The criterion is based on the violation of an already reported classical inequality. This inequality is expressed in terms of joint probabilities…

We consider the role of the internal kinetic energy of bound systems of matter in tests of the Einstein equivalence principle. Using the gravitational sector of the standard model extension, we show that stringent limits on equivalence…

General Relativity and Quantum Cosmology · Physics 2014-01-14 Michael A. Hohensee , Holger Mueller , R. B. Wiringa

Counterfactual definiteness must be used as at least one of the postulates or axioms that are necessary to derive Bell-type inequalities. It is considered by many to be a postulate that is not only commensurate with classical physics (as…

Quantum Physics · Physics 2016-10-25 Karl Hess , Hans De Raedt , Kristel Michielsen

The transverse group associated to some continuous quantum measuring processes is analyzed in the presence of nonvanishing gravitational fields. This is done considering, as an exmaple, the case of a particle whose coordinates are being…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Abel Camacho Quintana

The equivalence principle in combination with the special relativistic equivalence between mass and energy, $E=mc^2$, is one of the cornerstones of general relativity. However, for composite systems a long-standing result in general…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Magdalena Zych , Łukasz Rudnicki , Igor Pikovski

Recently, we have started to investigate behavior of a composite quantum body in an external gravitational field in the framework of General Relativity [see, for a review, A. G. Lebed, Mod. Phys. Lett. A, {\bf 35}, 2030010 (2020)]. As the…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Andrei G. Lebed

To date, both quantum theory, and Einstein's theory of general relativity have passed every experimental test in their respective regimes. Nevertheless, almost since their inception, there has been debate surrounding whether they should be…

Quantum Physics · Physics 2016-11-02 A. D. K. Plato , C. N. Hughes , M. S. Kim

We review the experimental evidence for Einstein's special and general relativity. A variety of high precision null experiments verify the weak equivalence principle and local Lorentz invariance, while gravitational redshift and other clock…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Clifford M. Will

We discuss an alternative version of non- relativistic Newtonian mechanics in terms of a real Hilbert space mathematical framework. It is demonstrated that the physics of this scheme correspondent with the standard formulation.…

Quantum Physics · Physics 2007-05-23 Daniel Sepunaru

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 describe a geometric and symmetry-based formulation of the equivalence principle in non-relativistic physics. It applies both on the classical and quantum levels and states that the Newtonian potential can be eliminated in favor of a…

General Relativity and Quantum Cosmology · Physics 2021-07-13 Anton Kapustin , Marc Touraev
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