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The standard model and general relativity are local Lorentz invariants. However it is possible that at Planck scale there may be a breakdown of Lorentz symmetry. Models with Lorentz violation are constructed using Standard Model Extension…

High Energy Physics - Theory · Physics 2019-05-01 A. F. Santos , Faqir C. Khanna

Theories that attempt to explain the observed cosmic acceleration by modifying general relativity all introduce a new scalar degree of freedom that is active on large scales, but is screened on small scales to match experiments. We show…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-10 Lam Hui , Alberto Nicolis , Christopher Stubbs

In this work, a massive scalar field theory incorporating Lorentz violation is investigated. The symmetry breaking is introduced via a background traceless antisymmetric tensor. Within the framework of Thermo Field Dynamics (TFD), the…

High Energy Physics - Theory · Physics 2026-01-05 D. S. Cabral , L. H. A. R. Ferreira , L. A. S. Evangelista , A. F. Santos

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

The Einstein Equivalence Principle is a fundamental principle of the theory of General Relativity. While this principle has been thoroughly tested with standard matter, the question of its validity in the Dark sector remains open. In this…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-22 N. Mohapi , A. Hees , J. Larena

The scalar-tensor theory can be formulated in both Jordan and Einstein frames, which are conformally related together with a redefinition of the scalar field. As the solution to the equation of the scalar field in the Jordan frame does not…

General Relativity and Quantum Cosmology · Physics 2020-05-07 Chao-Qiang Geng , Hao-Jui Kuan , Ling-Wei Luo

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

Quantum fields are known to violate all the pointwise energy conditions of classical general relativity. We review the subject of quantum energy inequalities: lower bounds satisfied by weighted averages of the stress-energy tensor, which…

Mathematical Physics · Physics 2017-08-23 Christopher J. Fewster

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

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

Small violation of Lorentz and CPT symmetries may emerge in models unifying gravity with other forces of nature. An extension of the standard model with all possible terms that violate Lorentz and CPT symmetries are included. Here a…

High Energy Physics - Theory · Physics 2019-03-27 P. R. A. Souza , A. F. Santos , S. C. Ulhoa , F. C. Khanna

Quantum mechanics clearly violates the weak equivalence principle (WEP). This implies that quantum mechanics also violates the strong equivalence principle (SEP), as shown in this paper. Therefore a theory of quantum gravity may not be…

General Physics · Physics 2007-05-23 Mario Rabinowitz

In this work, we calculate the one-loop self-energy corrections to the gauge field in scalar electrodynamics modified by Lorentz-violating terms within the framework of the standard model extension (SME). We focus on both $CPT$-even and…

High Energy Physics - Theory · Physics 2023-07-11 M. C. Araújo , J. Furtado , R. V. Maluf

The Casimir effect is considered a great triumph of Quantum Field Theory. Originally the Casimir energy was investigated considering the vacuum fluctuation associated with electromagnetic field; however it has also been analyzed considering…

High Energy Physics - Theory · Physics 2026-05-12 E. R. Bezerra de Mello , Herondy F. Mota

It is shown that in quantum gravity at finite temperature, the effective potential evaluated in the tadpole approximation can have a local minimum below a certain critical temperature. However, when the leading higher order thermal loop…

High Energy Physics - Theory · Physics 2008-11-26 F. T. Brandt , J. Frenkel

The two-parameter inhomogeneous and time-dependent Pimentel solution of Brans-Dicke theory is analyzed to probe and extend the new thermal view in which General Relativity is the zero-temperature (equilibrium) state of scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Valerio Faraoni , Nikki Veilleux

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

A violation of the distance-duality relation is directly linked with a temporal variation of the electromagnetic fine-structure constant. We consider a number of well-studied $f(T)$ gravity models and we revise the theoretical prediction of…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-09 Jackson Levi Said , Jurgen Mifsud , David Parkinson , Emmanuel N. Saridakis , Joseph Sultana , Kristian Zarb Adami

That gravitation can be understood as purely metric phenomenon depends crucially on the validity of a number of hypotheses which are summarised by the Einstein Equivalence Principle, the least well tested part of which being the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Domenico Giulini

It is shown in this article that if the Einstein Equivalence Principle is valid on a particular metric theory of gravitation in a spherically symmetric space-time, then the time metric component is not equal to the negative of the inverse…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Sergio Mendoza