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Lorentz violation is a significant phenomenon in the framework of quantum physics, with implications for fundamental symmetries. In this paper, we explore the effects of Lorentz violation on quantum entanglement through a black hole…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Wentao Liu , Cuihong Wen , Jieci Wang

We consider a class of static and spherically symmetric black hole geometries endowed with a photon sphere. On the one hand, we show that close to the photon sphere, a massless scalar field theory exhibits a simple dynamical…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Bernard Raffaelli

We study, as a model of Lorentz symmetry breaking, the quantisation and renormalisation of an extension of QED in a flat spacetime where the photons and electrons propagate differently and do not share the same lightcone. We will refer to…

High Energy Physics - Theory · Physics 2017-01-11 I. T. Drummond

It has long been known that photons and gravitons may appear as vector and tensor Goldstone modes caused \ by spontaneous Lorentz invariance violation (SLIV). Usually this approach is considered for photons and gravitons separately. We…

High Energy Physics - Theory · Physics 2018-04-04 J. L. Chkareuli , J. Jejelava , Z. Kepuladze

The topology of photons in vacuum is interesting because there are no photons with $\boldsymbol{k}=0$, creating a hole in momentum space. We show that while the set of all photons forms a trivial vector bundle $\gamma$ over this momentum…

Mathematical Physics · Physics 2024-12-13 Eric Palmerduca , Hong Qin

Canonical quantisation of rigid particles is considered paying special attention to the restriction on phase space due to causal propagation. A mixed Lorentz-gravitational anomaly is found in the commutator of Lorentz boosts with world-line…

High Energy Physics - Theory · Physics 2009-10-22 Jan Govaerts

The Wigner little group for massless particles is isomorphic to the Euclidean group ${\rm SE}(2)$. Applied to momentum eigenstates, or to infinite plane waves, the Euclidean "Wigner translations" act as the identity. We show that when…

High Energy Physics - Theory · Physics 2015-06-03 Michael Stone , Vatsal Dwivedi , Tianci Zhou

In this thesis, entanglement under fully relativistic settings are discussed. The thesis starts with a brief review of the relativistic quantum mechanics. In order to describe the effects of Lorentz transformations on the entangled states,…

Quantum Physics · Physics 2015-03-17 Enderalp Yakaboylu

Entanglement islands play a crucial role in our understanding of how Hawking radiation encodes information in a black hole, but their relevance in cosmological spacetimes is less clear. In this paper, we continue our investigation of…

High Energy Physics - Theory · Physics 2023-01-30 Lars Aalsma , Sergio E. Aguilar-Gutierrez , Watse Sybesma

Lorentz invariance is a fundamental symmetry of both Einstein's theory of general relativity and quantum field theory. However, deviations from Lorentz invariance at energies approaching the Planck scale are predicted in many quantum…

High Energy Astrophysical Phenomena · Physics 2023-04-05 Jun-Jie Wei , Xue-Feng Wu

We show in the context of Einstein gravity that the removal of a spatial region leads to the appearance of an infinite set of observables and their associated edge states localized at its boundary. Such a boundary occurs in certain…

General Relativity and Quantum Cosmology · Physics 2010-11-01 A. P. Balachandran , L. Chandar , Arshad Momen

In this paper, charged black holes in general relativity coupled to Born-Infeld electrodynamics are studied as gravitational lenses. The positions and magnifications of the relativistic images are obtained using the strong deflection limit,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ernesto F. Eiroa

Strong gravitational lensing occurs when photons pass through the vicinity of a black hole. We investigate this phenomenon in the context of a gravitational-wave event, specifically when a black hole is settling into its final state. The…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Zhen Zhong , Vitor Cardoso , Yifan Chen

A charged black hole was predicted by the Einstein--Horndeski--Maxwell theory. In order to provide its observational signatures, we investigate its weak and strong deflection gravitational lensings. We find its weak deflection lensing…

General Relativity and Quantum Cosmology · Physics 2019-05-15 Cheng-Yi Wang , Yu-Fu Shen , Yi Xie

The appearance of terms, which are analogous to ones required for symmetry breaking, in Lagrangian of Ref. [1] is shown to be caused by gauge invariance of quantum electrodynamics (QED) and by inaccuracy of the cited author in the choice of…

High Energy Physics - Phenomenology · Physics 2018-11-05 V. V. Dvoeglazov

We develop a quantum description of the resonant interaction between electromagnetic (EM) and gravitational waves (GW). We first show that Lorentz invariance together with polarization selection rules forbids any photon-graviton mixing in…

Quantum Physics · Physics 2026-03-31 Fateme Shojaei Arani , Brahim Lamine , Jiro Soda

Frohlich, Morchio and Strocchi long ago proved that Lorentz invariance is spontaneously broken in QED because of infrared effects. We develop a simple model where consequences of this breakdown can be explicitly and easily calculated. For…

High Energy Physics - Theory · Physics 2013-10-18 A. P. Balachandran , S. Vaidya

A consistent theory of quantum gravity (QG) at Planck scale almost sure contains manifestations of Lorentz local symmetry violations (LV) which may be detected at observable scales. This can be effectively described and classified by models…

Mathematical Physics · Physics 2015-05-19 Sergiu I. Vacaru

A possible resolution of the information loss paradox for black holes is proposed in which a phase transition occurs when the temperature of an evaporating black hole equals a critical value, $T_c$, and Lorentz invariance and diffeomorphism…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

Finsler geometry serves as a fundamental and natural extension of Riemannian geometry, providing a valuable framework for investigating Lorentz violation in spacetime. Previous studies have treated the Finsler structures associated with…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Jie Zhu , Hao Li , Bo-Qiang Ma