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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

The renaissance of General Relativity witnessed considerable progress regarding both understanding and justifying Einstein's equations. Both general relativists and historians of the subject tend to share a view, General Relativity…

History and Philosophy of Physics · Physics 2019-09-19 J. Brian Pitts

In his Autobiographical Notes, Einstein mentioned that on his road to the final theory of general relativity it was a major difficulty to accustom himself to the idea that coordinates need not possess an immediate physical meaning in terms…

History and Philosophy of Physics · Physics 2018-01-30 Dennis Dieks

General Relativity (GR) is a phenomenologically successful theory that rests on firm foundations, but has not been tested on cosmological scales. The advent of dark energy (and possibly even the requirement of cold dark matter), has…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Constantinos Skordis

Einstein's theory of General Relativity is the benchmark example for empirical success and mathematical elegance in theoretical physics. However, in spite of being the most successfully tested theory in physics, there are strong theoretical…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-20 Niayesh Afshordi

An alternative approach to Einstein's theory of General Relativity (GR) is reviewed, which is motivated by a range of serious theoretical issues inflicting the theory, such as the cosmological constant problem, presence of non-Machian…

General Physics · Physics 2016-07-13 Ram Gopal Vishwakarma

The historical and conceptual foundations of General Relativity are revisited, putting the main focus on the physical meaning of the invariant ds, the Equivalence Principle, and the precise interpretation of spacetime geometry. It is argued…

History and Philosophy of Physics · Physics 2026-01-26 Jaume de Haro , Emilio Elizalde

In Einstein's general relativity, geometry replaces the concept of force in the description of the gravitation interaction. Such an approach rests on the universality of free-fall--the weak equivalence principle--and would break down…

General Relativity and Quantum Cosmology · Physics 2016-11-09 R. Aldrovandi , J. G. Pereira , K. H. Vu

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

Generalized symmetries of the Einstein equations are infinitesimal transformations of the spacetime metric that formally map solutions of the Einstein equations to other solutions. The infinitesimal generators of these symmetries are…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. G. Torre , I. M. Anderson

A general principle of non-equivalence for bodies and observers in different G potentials (GP) was derived from correspondence of the Einstein's equivalence principle either with optical physics or with gravitational experiments in which…

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

We review the underpinnings of the standard Newton-Einstein theory of gravity, and identify where it could possibly go wrong. In particular, we discuss the logical independence from each other of the general covariance principle, the…

Astrophysics · Physics 2009-11-11 Philip D. Mannheim

A century ago, Einstein formulated his elegant and elaborate theory of General Relativity, which has so far withstood a multitude of empirical tests with remarkable success. Notwithstanding the triumphs of Einstein's theory, the tenacious…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Lavinia Heisenberg

The Einsteinian Theory of Gravitation ("General Theory of Relativity") is founded essentially; on the reception that the geometrical properties of the 4-dimensional space-time continuum are defined from the matter in it. Contrary to this,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Mattes

In 1945 Einstein concluded that [1]: 'The present theory of relativity is based on a division of physical reality into a metric field (gravitation) on the one hand, and into an electromagnetic field and matter on the other hand. In reality…

General Physics · Physics 2016-10-13 Johan Bengtsson

We demonstrate that Einstein's general relativity theory arises as a special case in the framework of the Poincar\'e gauge theory of gravity under the assumption of a suitable nonminimal coupling of matter to the Riemann-Cartan geometry of…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Yuri N. Obukhov , Friedrich W. Hehl

The issue of the physical equivalence between the different coordinate system in Einstein theory is revised. Gauge fixing influences results of measurements and physics are different in two different coordinate system. Spacetime metric…

General Physics · Physics 2012-12-27 Sergey M. Kozyrev , Rinat A. Daishev

Relying on a fundamental empirical identity of heavy and inertial mass it is proposed to bring a status of general theory of relativity (GTR) of Einstein up to a level of Unified Field Theory. To do this, a thoroughgoing revision of…

General Physics · Physics 2016-09-08 Boris Mordvinov

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

We explore the generalized covariant entropy bound in the theory where Einstein gravity is perturbed by quadratic curvature terms, which can be viewed as the first-order quantum correction to Einstein gravity. By replacing the…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Hu Zhu , Jie Jiang