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High-energy neutrino astronomy will be capable of observing particles at both extremely high energies and over extremely long baselines. These features make such experiments highly sensitive to the effects of CPT and Lorentz violation. In…

High Energy Physics - Phenomenology · Physics 2009-11-11 Dan Hooper , Dean Morgan , Elizabeth Winstanley

Lorentz invariance is one of the fundamental principles of physics, and, as such, it must be experimentally tested. The purpose of this work is to obtain, within the Standard-Model Extension, the dynamics of a Lorentz-violating spinor in a…

High Energy Physics - Phenomenology · Physics 2013-11-12 Yuri Bonder

High energy cosmic neutrino observations provide a sensitive test of Lorentz invariance violation, which may be a consequence of quantum gravity theories. We consider a class of non-renormalizable, Lorentz invariance violating operators…

High Energy Physics - Phenomenology · Physics 2015-03-05 Floyd W. Stecker , Sean T. Scully , Stefano Liberati , David Mattingly

In the framework of special relativity, all particles are point-like or string-like. This nature of particles has caused the divergence difficulties in quantum field, string and superstring theories. In the framework of special relativity,…

General Physics · Physics 2007-05-23 Jian-Miin Liu

The notion that gravitation might lead to a breakdown of standard space-time structure at small distances, and that this might affect the propagation of ordinary particles has led to a program to search for violations of Lorentz invariance…

High Energy Physics - Theory · Physics 2007-05-23 John Collins , Alejandro Perez , Daniel Sudarsky

An interacting theory that violates CPT invariance necessarily violates Lorentz invariance. On the other hand, CPT invariance is not sufficient for out-of-cone Lorentz invariance. Theories that violate CPT by having different particle and…

High Energy Physics - Phenomenology · Physics 2010-04-06 O. W. Greenberg

Extending physics/0701092, a light source of monochromatic radiation, in rectilinear motion under constant proper acceleration, passes near an observer at rest. In the context of special relativity, we describe the observed Doppler effect.…

General Physics · Physics 2008-10-15 F. M. Paiva , A. F. F. Teixeira

Lorentz symmetry violation (LV) was recently proposed to be testable with a new method, in which the effect of the violation is described as a certain local interaction [R. Shaniv, et al, PRL 120, 103202 (2018)]. We revisit this LV effect…

Quantum Physics · Physics 2020-10-27 Baocheng Zhang

The formula for the relativistic Doppler effect is investigated in the context of two compelling invariance axioms. The axioms are expressed in terms of an abstract operation generalizing the relativistic addition of velocities. We prove…

Mathematical Physics · Physics 2009-05-26 Jean-Claude Falmagne , Jean-Paul Doignon

We present an in depth analysis and a new derivation of the Doppler factor in the Lienard-Wiechert potentials, based on geometrical considerations in Minkowski space. We argue that, contrary to a common assumption, the methods used for…

Classical Physics · Physics 2021-07-09 Calin Galeriu

Within the model of a Lorentz violating extension of the Maxwell sector of the standard model, modified light propagation leads to a change of the resonance frequency of an electromagnetic cavity, allowing cavity tests of Lorentz violation.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Holger Mueller , Claus Braxmaier , Sven Herrmann , Achim Peters , Claus Laemmerzahl

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

One of the most difficult questions in present-day physics concerns a fundamental theory of space, time, and matter that incorporates a consistent quantum description of gravity. There are various theoretical approaches to such a…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Ralf Lehnert

We consider here the possibility of quantum gravity induced violation of Lorentz symmetry (LV). Even if suppressed by the inverse Planck mass such LV can be tested by current experiments and astrophysical observations. We review the…

Astrophysics · Physics 2008-11-26 Ted Jacobson , Stefano Liberati , David Mattingly

The purpose of this paper is to explain clearly why nonlocality must be an essential part of the theory of relativity. In the standard local version of this theory, Lorentz invariance is extended to accelerated observers by assuming that…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Bahram Mashhoon

The analysis of the Doppler effect for photons in rotating systems, studied using the M\"ossbauer effect, confirms the general conclusions of a previous paper dedicated to experiments with photons emitted/absorbed by atoms/nuclei in…

History and Philosophy of Physics · Physics 2015-02-04 Giuseppe Giuliani

We investigate the implications of energy-dependence of the speed of photons, one of the candidate effects of quantum-gravity theories that has been most studied recently, from the perspective of observations in different reference frames.…

High Energy Astrophysical Phenomena · Physics 2015-03-14 Uri Jacob , Flavio Mercati , Giovanni Amelino-Camelia , Tsvi Piran

We investigate the relativistic dynamics of a spin half particle in the presence of a Lorentz-violating background within the framework of effective field theory. A modified Dirac Hamiltonian is considered, arising from a CPT odd coupling…

High Energy Physics - Phenomenology · Physics 2026-04-10 E. Maciel , M. A. Anacleto , K. E. L. Farias , E. Passos

We report a joint test of local Lorentz invariance and the Einstein equivalence principle for electrons, using long-term measurements of the transition frequency between two nearly degenerate states of atomic dysprosium. We present…

High Energy Physics - Phenomenology · Physics 2013-07-31 M. A. Hohensee , N. Leefer , D. Budker , C. Harabati , V. A. Dzuba , V. V. Flambaum

Working in the context of a Lorentz-violating extension of the standard model we show that estimates of Lorentz symmetry violation extracted from ultra-high energy cosmic rays beyond the Greisen-Kuzmin-Zatsepin (GZK) cutoff allow for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 O. Bertolami , C. S. Carvalho