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The question how to Lorentz transform an N-particle wave function naturally leads to the concept of a so-called multi-time wave function, i.e. a map from (space-time)^N to a spin space. This concept was originally proposed by Dirac as the…

Mathematical Physics · Physics 2015-04-10 Matthias Lienert

Lorentz invariance is such a basic principle in fundamental physics that it must be constantly tested and that any proposal of its violation and breakdown of CPT symmetry, that might characterize some approaches to quantum gravity, should…

High Energy Physics - Phenomenology · Physics 2025-08-18 Chengyi Li , Bo-Qiang Ma

Lorentz invariance belongs to the fundamental symmetries of nature. It is basic for the successful Standard Model of Particle Physics. Nevertheless, within the last decades, Lorentz invariance has been repeatedly questioned. In fact, there…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Yuri N. Obukhov , Friedrich W. Hehl

Lorentz symmetry is one of the cornerstone of both general relativity and the standard model of particle physics. We study the violation of Lorentz symmetry in some basic phenomena in atomic physics. Using the Green's function, and the…

Quantum Physics · Physics 2022-02-28 Z. Shafeei , S. A. Alavi

A new derivation of the relativistic aberration formula for a plane-polarized light wave is presented that does not require any use of the Lorentz transformation. The method is based on a modification of the Huygens-Fresnel principle to…

Optics · Physics 2007-05-23 Aleksandar Gjurchinovski

Several approaches to quantum gravity suggest that Lorentz invariance will be broken at high energy. This can lead to modified dispersion relations for wave propagation, which can be concretely realized in effective field theories where the…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Jarod George Kelly , Sanjeev S. Seahra

The interaction of a particle with vacuum fluctuations--which theoretically exist even in the complete absence of matter--can lead to observable irreversible decoherence if it were possible to switch on and off the particle charge suddenly.…

Quantum Physics · Physics 2025-07-10 Anirudh Gundhi , Hendrik Ulbricht

If textbook Lorentz invariance is actually a property of the equations describing a sector of the excitations of vacuum above some critical distance scale, several sectors of matter with different critical speeds in vacuum can coexist and…

General Physics · Physics 2008-02-03 Luis Gonzalez-Mestres

A vacuum medium model is advanced. The motion of a relativistic particle in relation to its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum, called "inertons," should exist. The equations…

Quantum Physics · Physics 2007-05-23 Volodymyr Krasnoholovets

A logic of reciprocity between inertial frames in relative uniform motion is investigated. Relativity allows any reference frame to apply Lorentz Transformation while reciprocity would require the relative frame to use Inverse…

Mathematical Physics · Physics 2007-05-23 Chao Y. Yang

Recently Einstein's invariance of the phase of a plane wave (1905) has been described as "questionable" (Huang). Another definition of this phase, taking into account a "relativistically induced optical anisotropy" for isotropic medium in…

General Physics · Physics 2008-05-28 Yves Pierseaux

Modifications inspired by quantum gravity in the kinematics of special relativity can manifest in various ways, including anomalies in the time of flight of massless particles and the emergence of decay channels for otherwise stable…

High Energy Physics - Phenomenology · Physics 2026-01-22 J. M. Carmona , J. L. Cortés , M. A. Reyes

In the past decade the phenomenology of quantum gravity has been dominated by the search of violations of Lorentz invariance. However, there are very serious arguments that led us to assume that this invariance is a symmetry in Nature. This…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Yuri Bonder

We study the possibility to constrain deviations from Lorentz invariance in dark matter (DM) with cosmological observations. Breaking of Lorentz invariance generically introduces new light gravitational degrees of freedom, which we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Diego Blas , Mikhail M. Ivanov , Sergey Sibiryakov

The parity violation at the level of weak interactions and other similar discrete symmetries breaking show that the invariance of laws under the full group of Lorentz transformations can not be taken granted. We examine the principle of…

General Relativity and Quantum Cosmology · Physics 2018-02-16 Zhongmin Qian

Motivated by generalized uncertainty principle, we derive a discrete picture of the space that respects Lorentz symmetry as well as gauge symmetry through setting an equivalency between linear GUP correction term and electromagnetic…

General Physics · Physics 2023-09-08 Ahmed Farag Ali , Barun Majumder , Prabir Rudra

We propose a deepening of the relativity principle according to which the invariant arena for non-quantum physics is a phase space rather than spacetime. Descriptions of particles propagating and interacting in spacetimes are constructed by…

High Energy Physics - Theory · Physics 2015-05-20 Giovanni Amelino-Camelia , Laurent Freidel , Jerzy Kowalski-Glikman , Lee Smolin

We consider a class of field theories with a four-vector field $A_{\mu}(x)$ in addition to other fields supplied with a global charge symmetry - theories which have partial gauge symmetry in the sense of only imposing it on those terms in…

High Energy Physics - Theory · Physics 2009-08-11 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen

Lorentz Invariance Violation introduced as a generic modification to particle dispersion relations is used to study high energy cosmic ray attenuation processes. It is shown to reproduce the same physical effects for vacuum Cherenkov…

High Energy Astrophysical Phenomena · Physics 2017-03-09 H. Martínez-Huerta , A. Pérez-Lorenzana

Spontaneous Lorentz violation is a viable mechanism to look for Planck scale physics. In this work, we study spontaneous Lorentz violation models, in flat spacetime, where a vector field produces such a violation and matter is modeled by a…

High Energy Physics - Theory · Physics 2016-01-26 Yuri Bonder , Carlos A. Escobar