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Motivated by ideas about quantum gravity, a tremendous amount of effort over the past decade has gone into testing Lorentz invariance in various regimes. This review summarizes both the theoretical frameworks for tests of Lorentz invariance…

General Relativity and Quantum Cosmology · Physics 2015-06-25 David Mattingly

We present a geometric proof of the invariance of the relativistic spacetime interval based solely on the constancy of the speed of light, and the homogeneity and isotropy of spacetime. The derivation is based on a simple construction…

Classical Physics · Physics 2025-12-17 Marco Moriconi

BOOST (BOOst Symmetry Test) is a proposed satellite mission to search for violations of Lorentz invariance by comparing two optical frequency references. One is based on a long-term stable optical resonator and the other on a hyperfine…

Lorentz symmetry is the fundamental symmetry of Einstein's theory of Special Relativity and has been tested to great precision. Nevertheless, the possibility remains that it is violated at the Planck scale, as predicted by some theories of…

High Energy Physics - Phenomenology · Physics 2026-04-16 Fabian Kislat

In special relativity, testing for spatial anisotropy usually means testing for anisotropic propagation of light. This paper explores a different possibility, in which light is still assumed to propagate isotropically in all frames with an…

Classical Physics · Physics 2011-11-21 Alon Drory

We introduce new symmetry-based methods to test for isotropy in cosmic microwave background radiation. Each angular multipole is factored into unique products of power eigenvectors, related multipoles and singular values that provide 2 new…

Astrophysics · Physics 2008-11-26 Pramoda Kumar Samal , Rajib Saha , Pankaj Jain , John P. Ralston

The measurement of the Compton edge of the scattered electrons in GRAAL facility in European Synchrotron Radiation Facility (ESRF) in Grenoble with respect to the Cosmic Microwave Background dipole reveals up to 10 sigma variations larger…

We posit a second massless photon, uncoupled to known forms of matter but undergoing Lorentz non-invariant velocity mixing with ordinary photons. Our speculation within a speculation suffers from the sin of implausibility but enjoys the…

Astrophysics · Physics 2009-10-30 Sheldon L. Glashow

Lorentz invariance is a fundamental symmetry of spacetime and foundational to modern physics. One of its most important consequences is the constancy of the speed of light. This invariance, together with the geometry of spacetime, implies…

High Energy Astrophysical Phenomena · Physics 2025-02-26 KM3NeT Collaboration , O. Adriani , S. Aiello , A. Albert , A. R. Alhebsi , M. Alshamsi , S. Alves Garre , A. Ambrosone , F. Ameli , M. Andre , L. Aphecetche , M. Ardid , S. Ardid , C. Argüelles , J. Aublin , F. Badaracco , L. Bailly-Salins , Z. Bardačová , A. Bariego-Quintana , Y. Becherini , M. Bendahman , F. Benfenati Gualandi , M. Benhassi , M. Bennani , D. M. Benoit , E. Berbee , E. Berti , V. Bertin , P. Betti , S. Biagi , M. Boettcher , D. Bonanno , S. Bottai , A. B. Bouasla , J. Boumaaza , M. Bouta , M. Bouwhuis , C. Bozza , R. M. Bozza , H. Brânzaş , F. Bretaudeau , M. Breuhaus , R. Bruijn , J. Brunner , R. Bruno , E. Buis , R. Buompane , J. Busto , B. Caiffi , D. Calvo , A. Capone , F. Carenini , V. Carretero , T. Cartraud , P. Castaldi , V. Cecchini , S. Celli , L. Cerisy , M. Chabab , A. Chen , S. Cherubini , T. Chiarusi , M. Circella , R. Clark , R. Cocimano , J. A. B. Coelho , A. Coleiro , A. Condorelli , R. Coniglione , P. Coyle , A. Creusot , G. Cuttone , R. Dallier , A. De Benedittis , G. De Wasseige , V. Decoene , P. Deguire , I. Del Rosso , L. S. Di Mauro , I. Di Palma , A. F. Díaz , D. Diego-Tortosa , C. Distefano , A. Domi , C. Donzaud , D. Dornic , E. Drakopoulou , D. Drouhin , J. -G. Ducoin , P. Duverne , R. Dvornický , T. Eberl , E. Eckerová , A. Eddymaoui , T. van Eeden , M. Eff , D. van Eijk , I. El Bojaddaini , S. El Hedri , S. El Mentawi , V. Ellajosyula , A. Enzenhöfer , G. Ferrara , M. D. Filipović , F. Filippini , D. Franciotti , L. A. Fusco , S. Gagliardini , T. Gal , J. García Méndez , A. Garcia Soto , C. Gatius Oliver , N. Geißelbrecht , E. Genton , H. Ghaddari , L. Gialanella , B. K. Gibson , E. Giorgio , I. Goos , P. Goswami , S. R. Gozzini , R. Gracia , C. Guidi , B. Guillon , M. Gutiérrez , C. Haack , H. van Haren , A. Heijboer , L. Hennig , J. J. Hernández-Rey , A. Idrissi , W. Idrissi Ibnsalih , G. Illuminati , O. Janik , D. Joly , M. de Jong , P. de Jong , B. J. Jung , P. Kalaczyński , N. Kamp , J. Keegans , V. Kikvadze , G. Kistauri , C. Kopper , A. Kouchner , Y. Y. Kovalev , L. Krupa , V. Kueviakoe , V. Kulikovskiy , R. Kvatadze , M. Labalme , R. Lahmann , M. Lamoureux , G. Larosa , C. Lastoria , J. Lazar , A. Lazo , S. Le Stum , G. Lehaut , V. Lemaître , E. Leonora , N. Lessing , G. Levi , M. Lindsey Clark , F. Longhitano , F. Magnani , J. Majumdar , L. Malerba , F. Mamedov , A. Manfreda , A. Manousakis , M. Marconi , A. Margiotta , A. Marinelli , C. Markou , L. Martin , M. Mastrodicasa , S. Mastroianni , J. Mauro , K. C. K. Mehta , A. Meskar , G. Miele , P. Migliozzi , E. Migneco , M. L. Mitsou , C. M. Mollo , L. Morales-Gallegos , N. Mori , A. Moussa , I. Mozun Mateo , R. Muller , M. R. Musone , M. Musumeci , S. Navas , A. Nayerhoda , C. A. Nicolau , B. Nkosi , B. Ó Fearraigh , V. Oliviero , A. Orlando , E. Oukacha , L. Pacini , D. Paesani , J. Palacios González , G. Papalashvili , P. Papini , V. Parisi , A. Parmar , E. J. Pastor Gomez , C. Pastore , A. M. Păun , G. E. Păvălaş , S. Peña Martínez , M. Perrin-Terrin , V. Pestel , R. Pestes , M. Petropavlova , P. Piattelli , A. Plavin , C. Poirè , V. Popa , T. Pradier , J. Prado , S. Pulvirenti , C. A. Quiroz-Rangel , N. Randazzo , A. Ratnani , S. Razzaque , I. C. Rea , D. Real , G. Riccobene , J. Robinson , A. Romanov , E. Ros , A. Šaina , F. Salesa Greus , D. F. E. Samtleben , A. Sánchez Losa , S. Sanfilippo , M. Sanguineti , D. Santonocito , P. Sapienza , M. Scaringella , M. Scarnera , J. Schnabel , J. Schumann , H. M. Schutte , J. Seneca , N. Sennan , P. A. Sevle Myhr , I. Sgura , R. Shanidze , A. Sharma , Y. Shitov , F. Šimkovic , A. Simonelli , A. Sinopoulou , B. Spisso , M. Spurio , O. Starodubtsev , D. Stavropoulos , I. Štekl , D. Stocco , M. Taiuti , G. Takadze , Y. Tayalati , H. Thiersen , S. Thoudam , I. Tosta e Melo , B. Trocmé , V. Tsourapis , E. Tzamariudaki , A. Ukleja , A. Vacheret , V. Valsecchi , V. Van Elewyck , G. Vannoye , E. Vannuccini , G. Vasileiadis , F. Vazquez de Sola , A. Veutro , S. Viola , D. Vivolo , A. van Vliet , A. Y. Wen , E. de Wolf , I. Lhenry-Yvon , S. Zavatarelli , A. Zegarelli , D. Zito , J. D. Zornoza , J. Zúñiga , N. Zywucka

We consider different renormalizable models of Lorentz invariance violation. We show that the limits on birefringence of the propagation of cosmic microwave background photons from the five year data of the Wilkinson microwave anisotropy…

Astrophysics · Physics 2009-01-08 Tina Kahniashvili , Ruth Durrer , Yurii Maravin

We have studied the angular fluctuations in the speed of light with respect to the apex of the dipole of Cosmic Microwave Background (CMB) radiation using the experimental data obtained with GRAAL facility, located at the European…

One of the experimental tests of Lorentz invariance violation is to measure the helicity dependence of the propagation velocity of photons originating in distant cosmological obejcts. Using a recent determination of the distance of the…

High Energy Astrophysical Phenomena · Physics 2015-05-28 P. Laurent , D. Gotz , P. Binetruy , S. Covino , A. Fernandez-Soto

As we approach the 125th anniversary of the Michelson-Morley experiment in 2012, we review experiments that test the isotropy of the speed of light. Previous measurements are categorized into one-way (single-trip) and two-way (round-trip…

History and Philosophy of Physics · Physics 2015-05-20 Md. Farid Ahmed , Brendan M. Quine , Stoyan Sargoytchev , A. D. Stauffer

A laser diffraction experiment was conducted to study light propagation in air. The experiment is easy to reproduce and it is based on simple optical principles. Two optical sensors (segmented photo-diodes) are used for measuring the…

Astrophysics · Physics 2007-05-23 C. E. Navia , C. R. A. Augusto , D. F. Franceschini , M. B. Robba , K. H. Tsui

We develop a new comagnetometer using $^{21}$Ne atoms with nuclear spin $I=3/2$ and Rb atoms polarized by spin-exchange with K atoms to search for tensor interactions that violate local Lorentz invariance. We frequently reverse orientation…

Atomic Physics · Physics 2015-05-28 M. Smiciklas , J. M. Brown , L. W. Cheuk , M. V. Romalis

The framework of relativistic quantum-field theories requires Lorentz Invariance. Many theories of quantum gravity, on the other hand, include violations of Lorentz Invariance at small scales and high energies. This generates a lot of…

High Energy Astrophysical Phenomena · Physics 2019-08-13 Lukas Nellen

We report tests of local position invariance based on measurements of the ratio of the ground state hyperfine frequencies of 133Cs and 87Rb in laser-cooled atomic fountain clocks. Measurements extending over 14 years set a stringent limit…

Quite a few future high precision space missions for testing Special and General Relativity will use optical resonators which are used for laser frequency stabilization. These devices are used for carrying out tests of the isotropy of light…

Classical Physics · Physics 2009-11-11 S. Scheithauer , C. Lämmerzahl

We use the recent reanalysis of multi-TeV gamma-ray observations of Mrk 501 to constrain the Lorentz invariance breaking parameter involving the maximum electron velocity. Our limit is two orders of magnitude better than that obtained from…

Astrophysics · Physics 2011-06-09 F. W. Stecker , Sheldon L. Glashow

Low-energy experiments studying single beta decay can serve as sensitive probes of Lorentz invariance that can complement interferometric searches for deviations from this spacetime symmetry. Experimental signatures of a dimension-three…

High Energy Physics - Phenomenology · Physics 2014-08-26 Jorge S. Diaz
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