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In this paper we scrutinize the concept of locally inertial reference frames (LIRF) in Lorentzian and Riemann-Cartan spacetime structures. We present rigorous mathematical definitions for those objects, something that needs preliminary a…

Mathematical Physics · Physics 2015-06-03 J. F. T. Giglio , W. A. Rodrigues

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

In this paper we explicitly show that in general relativity, the relative velocity of two local inertial frames is always less than the velocity of light. This fact is a by-product of the equivalence principle. The general result is then…

General Relativity and Quantum Cosmology · Physics 2015-05-26 F. Shojai , A. Shojai

The $TH\epsilon\mu$ formalism was developed to study nonmetric theories of gravitation. In this letter we show that theories that violate Local Lorentz Invariance (LLI) or Local Position Invariance (LPI) also violate charge conservation.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Susana J. Landau , Pablo D. Sisterna , Hector Vucetich

We analyze the relation between teleparallelism and local Lorentz invariance. We show that generic modifications of the teleparallel equivalent to general relativity will not respect local Lorentz symmetry. We clarify the reasons for this…

General Relativity and Quantum Cosmology · Physics 2011-05-25 Thomas P. Sotiriou , Baojiu Li , John D. Barrow

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

Quantum information theorists have created axiomatic reconstructions of quantum mechanics (QM) that are very successful at identifying precisely what distinguishes quantum probability theory from classical and more general probability…

Quantum Physics · Physics 2021-12-24 W. M. Stuckey , Timothy McDevitt , Michael Silberstein

Lorentz Invariance (LI) is the founding postulate of Einstein's 1905 theory of relativity, and therefore at the heart of all accepted theories of physics. It characterizes the invariance of the laws of physics in inertial frames under…

High Energy Physics - Phenomenology · Physics 2016-08-16 Peter Wolf , Fréderic Chapelet , Sebastien Bize , Andre Clairon

In this Chapter we illustrate the close connection between the violation of the weak equivalence principle typical of gravitational interactions at finite temperature, and similar violations induced by a breaking of the local Lorentz…

General Relativity and Quantum Cosmology · Physics 2023-02-13 M. Gasperini

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 postulate the applicability of the general form-invariance principle in special relativity. It is shown that this principle holds in classical mechanics. Some examples of transformations between the reference frames which satisfy this…

General Physics · Physics 2011-08-18 Vitaliy Voytik

The Einstein Equivalence Principle has as one of its implications that the non-gravitational laws of physics are those of special relativity in any local freely-falling frame. We consider possible tests of this hypothesis for systems whose…

General Relativity and Quantum Cosmology · Physics 2016-08-31 C. Alvarez , R. B. Mann

The Special Theory of Relativity and Quantum Mechanics merge in the key principle of Quantum Field Theory, the Principle of Locality. We review some examples of its ``unreasonable effectiveness'' (which shows up best in the formulation of…

Mathematical Physics · Physics 2014-11-20 Sergio Doplicher

An axiomatization of the so-called Teleparallel Equivalent to General Relativity is presented. A set of formal and semantic postulates are elaborated from where the physical meaning of various key concepts of the theory are clarified. These…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Luciano Combi , Gustavo E. Romero

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

Many professional physicists do not fully understand the implications of the Einstein equivalence principle of general relativity. Consequently, many are unaware of the fact that special relativity is fully capable of handling accelerated…

Physics Education · Physics 2019-07-05 R. A. Pepino , R. W. Mabile

In this work we use generalized deformed gauge groups for investigation of symmetry of general relativity (GR). GR is formulated in generalized reference frames, which are represented by (anholonomic in general case) affine frame fields.…

General Relativity and Quantum Cosmology · Physics 2020-06-09 S. E. Samokhvalov

Ever since the work of von Ignatowsky circa 1910 it has been known (if not always widely appreciated) that the relativity principle, combined with the basic and fundamental physical assumptions of locality, linearity, and isotropy, leads…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Valentina Baccetti , Kyle Tate , Matt Visser

The validity of the Weak Equivalence Principle relative to a local inertial frame is detailed in a scalar-vector gravitation model with Lorentz-Poincar\'e type interpretation. Given the previously established first Post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jan , Broekaert

We revisit the old question of what distinguishes the formulation of spacetime geometry in terms of a Lorentzian metric physically from more general geometric structures. Our approach to this question is operational and leads us to also…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Philipp A Hoehn , Markus P Mueller , Christian Pfeifer , Dennis Raetzel
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