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A search for neutrino oscillations induced by Lorentz violation has been performed using 4,438 live-days of Super-Kamiokande atmospheric neutrino data. The Lorentz violation is included in addition to standard three-flavor oscillations…

High Energy Physics - Experiment · Physics 2015-03-18 Kamiokande Collaboration , K. Abe , Y. Haga , Y. Hayato , M. Ikeda , K. Iyogi , J. Kameda , Y. Kishimoto , M. Miura , S. Moriyama , M. Nakahata , Y. Nakano , S. Nakayama , H. Sekiya , M. Shiozawa , Y. Suzuki , A. Takeda , H. Tanaka , T. Tomura , K. Ueno , R. A. Wendell , T. Yokozawa , T. Irvine , T. Kajita , I. Kametani , K. Kaneyuki , K. P. Lee , T. McLachlan , Y. Nishimura , E. Richard , K. Okumura , L. Labarga , P. Fernandez , J. Gustafson , E. Kearns , J. L. Raaf , S. Berkman , H. A. Tanaka , S. Tobayama , J. L. Stone , L. R. Sulak , M. Goldhaber , G. Carminati , W. R. Kropp , S. Mine , P. Weatherly , A. Renshaw , M. B. Smy , H. W. Sobel , V. Takhistov , K. S. Ganezer , B. L. Hartfiel , J. Hill , W. E. Keig , N. Hong , J. Y. Kim , I. T. Lim , T. Akiri , A. Himmel , K. Scholberg , C. W. Walter , T. Wongjirad , T. Ishizuka , S. Tasaka , J. S. Jang , J. G. Learned , S. Matsuno , S. N. Smith , T. Hasegawa , T. Ishida , T. Ishii , T. Kobayashi , T. Nakadaira , K. Nakamura , Y. Oyama , K. Sakashita , T. Sekiguchi , T. Tsukamoto , A. T. Suzuki , Y. Takeuchi , C. Bronner , S. Hirota , K. Huang , K. Ieki , T. Kikawa , A. Minamino , A. Murakami , T. Nakaya , K. Suzuki , S. Takahashi , K. Tateishi , Y. Fukuda , K. Choi , Y. Itow , G. Mitsuka , P. Mijakowski , J. Hignight , J. Imber , C. K. Jung , C. Yanagisawa , H. Ishino , A. Kibayashi , Y. Koshio , T. Mori , M. Sakuda , R. Yamaguchi , T. Yano , Y. Kuno , R. Tacik , S. B. Kim , H. Okazawa , Y. Choi , K. Nishijima , M. Koshiba , Y. Suda , Y. Totsuka , M. Yokoyama , K. Martens , Ll. Marti , M. R. Vagins , J. F. Martin , P. de Perio , A. Konaka , M. J. Wilking , S. Chen , Y. Zhang , K. Connolly , R. J. Wilkes

Recent studies of spacetime anisotropy in the context of local Lorentz invariance (LLI) based on classical Michelson-Morley experiments, as well Kennedy-Thorndyke tests, pointed out the existence of terms first order in v/c and of angular…

General Physics · Physics 2007-05-23 R. Assumpcao

Lorentz Invariance violation is a common feature of new physics beyond the standard model. We show that the symmetry of Randers spaces deduces a modified dispersion relation with characteristics of Lorentz Invariance violation. The…

High Energy Physics - Theory · Physics 2008-04-07 Zhe Chang , Xin Li

I review first some theoretical motivations for violation of Lorentz and/or CPT Invariance. Although the latter symmetries may be violated in a quantum gravity setting, nevertheless there are situations in which these violations are due to…

High Energy Physics - Phenomenology · Physics 2015-06-18 Nick E. Mavromatos

In this paper we scrutinize the so called Principle of Local Lorentz Invariance (\emph{PLLI}) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics we introduce in the General Theory of Relativity two…

Mathematical Physics · Physics 2007-05-23 W. A. Rodrigues , M. Sharif

Lorentz invariance is one of the fundamental tenets of Special Relativity, and has been extensively tested with laboratory and astrophysical observations. However, many quantum gravity models and theories beyond the Standard Model of…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 Shantanu Desai

Bohmian mechanics and spontaneous collapse models are theories that overcome the quantum measurement problem. While they are naturally formulated for non-relativistic systems, it has proven difficult to formulate Lorentz invariant…

Quantum Physics · Physics 2024-02-27 Ward Struyve

A hypothetical violation of Lorentz invariance in the electrons' equation of motion (expressed within the Lorentz-violating extension of the standard model) leads to a change of the geometry of crystals and thus shifts the resonance…

High Energy Physics - Phenomenology · Physics 2008-11-26 Holger Mueller , Sven Herrmann , Alejandro Saenz , Achim Peters , Claus Laemmerzahl

The Standard-Model Extension, or SME, is a general framework for the study of Lorentz violation in physics. A broad variety of experiments is able to access the SME coefficient space. This proceedings briefly summarizes theory and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Neil Russell

Violation of Lorentz invariance and CPT symmetry is a predicted phenomenon of Planck-scale physics. Various types of data are analyzed to search for Lorentz violation under the Standard-Model Extension (SME) framework, including neutrino…

High Energy Physics - Experiment · Physics 2014-04-29 Teppei Katori

A quantum gravity theory which becomes renormalizable at short distances due to a spontaneous symmetry breaking of Lorentz invariance and diffeomorphism invariance is studied. A breaking of Lorentz invariance with the breaking patterns…

High Energy Physics - Theory · Physics 2010-05-25 J. W. Moffat

Lorentz invariance is one of the basic ingredients of quantum field theories and violations of it are stringently constrained experimentally. Therefore, the possibility of Lorentz violation (LV) is usually realized at very high energy…

High Energy Physics - Phenomenology · Physics 2021-05-17 Andreas Crivellin , Fiona Kirk , Marco Schreck

The Michelson-Morley experiment led Einstein to introduce the concept of spacetime and to propose that all of the laws of physics are Lorentz invariant. However, so far only the Lorentz invariance of electromagnetism has been convincingly…

General Physics · Physics 2010-10-06 David B. Parker

We analyze a dynamics of ultracold neutrons (UCNs) caused by interactions violating Lorentz invariance within the Standard Model Extension (SME) (Colladay and Kostelecky, Phys. Rev. D55, 6760 (1997) and Kostelecky, Phys. Rev. D69, 105009…

High Energy Physics - Phenomenology · Physics 2019-09-04 A. N. Ivanov , M. Wellenzohn , H. Abele

Lorentz invariance is a fundamental symmetry of spacetime and serves as the cornerstone of modern physics, supporting the constancy of the speed of light. A crucial implication of this principle is that no particle can propagate faster than…

High Energy Physics - Phenomenology · Physics 2025-06-26 Yu-Ming Yang , Xing-Jian Lv , Xiao-Jun Bi , Peng-Fei Yin

Observations of energy-dependent photon time delays from distant flaring sources provide significant constraints on Lorentz Invariance Violation (LIV). Such effects originate from modified vacuum dispersion relations, causing differences in…

High Energy Astrophysical Phenomena · Physics 2025-08-06 Merce Guerrero , Anna Campoy-Ordaz , Robertus Potting , Markus Gaug

Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

High Energy Physics - Phenomenology · Physics 2026-01-21 Zurab Kepuladze

We show for the first time that the induced parity--even Lorentz invariance violation can be unambiguously calculated in the physically justified and minimally broken dimensional regularization scheme, suitably tailored for a spontaneous…

High Energy Physics - Theory · Physics 2008-11-26 J. Alfaro , A. A. Andrianov , M. Cambiaso , P. Giacconi , R. Soldati

Lorentz invariance is a well known fundamental concept of special relativity but its violation is predicted by some variations of quantum gravity, string theory, and some alternatives to general relativity. We study neutrino oscillation at…

High Energy Physics - Phenomenology · Physics 2016-12-30 S. A. Alavi , M. Dehghani Madise

Astrophysical, terrestrial, and space-based searches for Lorentz violation are very briefly reviewed. Such searches are motivated by the fact that all superunified theories (and other theories that attempt to include quantum gravity) have…

High Energy Physics - Theory · Physics 2009-11-10 Roland E. Allen , Seiichirou Yokoo