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There has been much interest in possible violations of Lorentz invariance, particularly motivated by quantum gravity theories. It has been suggested that a small amount of Lorentz invariance violation (LIV) could turn off photomeson…

Astrophysics · Physics 2014-11-18 S. T. Scully , F. W. Stecker

Owing to their isotropy, it is generally believed that ultrahigh energy cosmic rays (UHECRs) are extragalactic in origin. It is then expected that interactions of these cosmic rays with photons of the cosmic background radiation (CBR)…

Astrophysics · Physics 2009-11-10 F. W. Stecker , S. T. Scully

We have previously shown that a very small amount of Lorentz invariance violation (LIV), which suppresses photomeson interactions of ultrahigh energy cosmic rays (UHECRs) with cosmic background radiation (CBR) photons, can produce a…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-18 Sean T. Scully , Floyd W. Stecker

In this paper, Lorentz Invariance Violation (LIV) is introduced in the calculations of photon propagation in the Universe. LIV is considered in the photon sector and the mean free path of the $\gamma \gamma \rightarrow e^{+} e^{-}$…

High Energy Astrophysical Phenomena · Physics 2018-01-19 Rodrigo Guedes Lang , Humberto Martínez-Huerta , Vitor de Souza

This is an introductory review about the on-going search for a signal of Lorentz Invariance Violation (LIV) in cosmic rays. We first summarise basic aspects of cosmic rays, focusing on rays of ultra high energy (UHECRs). We discuss the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Wolfgang Bietenholz

Tiny Lorentz Invariance Violation (LIV) effects, potentially arising from quantum gravity-induced spacetime structures, may also manifest in the proton sector, offering a plausible pathway to test Planck-scale physics through high-energy…

High Energy Physics - Phenomenology · Physics 2025-05-27 Guo-Li Liu , Xinbo Su , Fei Wang

Lorentz invariant violation (LIV) test is very important to study in the new physics. All the known astrophysical constraints either have a very small examinable parameter space, or are only suitable for some special theoretical models.…

Astrophysics · Physics 2009-08-07 Cong-Xin Qiu , Zi-Gao Dai

Lorentz invariance violation (LIV) is often described by dispersion relations of the form $E_i^2=m_i^2+p_i^2+\delta_{i,n} E^{2+n}$ with delta different based on particle type $i$, with energy $E$, momentum $p$ and rest mass $m$. Kinematics…

High Energy Astrophysical Phenomena · Physics 2022-01-20 The Pierre Auger Collaboration , P. Abreu , M. Aglietta , J. M. Albury , I. Allekotte , K. Almeida Cheminant , A. Almela , J. Alvarez-Muñiz , R. Alves Batista , G. A. Anastasi , L. Anchordoqui , B. Andrada , S. Andringa , C. Aramo , P. R. Araújo Ferreira , E. Arnone , J. C. Arteaga Velázquez , H. Asorey , P. Assis , G. Avila , A. M. Badescu , A. Bakalova , A. Balaceanu , F. Barbato , J. A. Bellido , C. Berat , M. E. Bertaina , X. Bertou , G. Bhatta , P. L. Biermann , V. Binet , K. Bismark , T. Bister , J. Biteau , J. Blazek , C. Bleve , J. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , L. Bonneau Arbeletche , N. Borodai , A. M. Botti , J. Brack , T. Bretz , P. G. Brichetto Orchera , F. L. Briechle , P. Buchholz , A. Bueno , S. Buitink , M. Buscemi , M. Büsken , K. S. Caballero-Mora , L. Caccianiga , F. Canfora , I. Caracas , R. Caruso , A. Castellina , F. Catalani , G. Cataldi , L. Cazon , M. Cerda , J. A. Chinellato , J. Chudoba , L. Chytka , R. W. Clay , A. C. Cobos Cerutti , R. Colalillo , A. Coleman , M. R. Coluccia , R. Conceição , A. Condorelli , G. Consolati , F. Contreras , F. Convenga , D. Correia dos Santos , C. E. Covault , S. Dasso , K. Daumiller , B. R. Dawson , J. A. Day , R. M. de Almeida , J. de Jesús , S. J. de Jong , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , D. de Oliveira Franco , F. de Palma , V. de Souza , E. De Vito , A. Del Popolo , M. del Río , O. Deligny , L. Deval , A. di Matteo , M. Dobre , C. Dobrigkeit , J. C. D'Olivo , L. M. Domingues Mendes , R. C. dos Anjos , M. T. Dova , J. Ebr , R. Engel , I. Epicoco , M. Erdmann , C. O. Escobar , A. Etchegoyen , H. Falcke , J. Farmer , G. Farrar , A. C. Fauth , N. Fazzini , F. Feldbusch , F. Fenu , B. Fick , J. M. Figueira , A. Filipčič , T. Fitoussi , T. Fodran , T. Fujii , A. Fuster , C. Galea , C. Galelli , B. García , A. L. Garcia Vegas , H. Gemmeke , F. Gesualdi , A. Gherghel-Lascu , P. L. Ghia , U. Giaccari , M. Giammarchi , J. Glombitza , F. Gobbi , F. Gollan , G. Golup , M. Gómez Berisso , P. F. Gómez Vitale , J. P. Gongora , J. M. González , N. González , I. Goos , D. Góra , A. Gorgi , M. Gottowik , T. D. Grubb , F. Guarino , G. P. Guedes , E. Guido , S. Hahn , P. Hamal , M. R. Hampel , P. Hansen , D. Harari , V. M. Harvey , A. Haungs , T. Hebbeker , D. Heck , G. C. Hill , C. Hojvat , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , A. Insolia , P. G. Isar , P. Janecek , J. A. Johnsen , J. Jurysek , A. Kääpä , K. H. Kampert , N. Karastathis , B. Keilhauer , A. Khakurdikar , V. V. Kizakke Covilakam , H. O. Klages , M. Kleifges , J. Kleinfeller , F. Knapp , N. Kunka , B. L. Lago , R. G. Lang , N. Langner , M. A. Leigui de Oliveira , V. Lenok , A. Letessier-Selvon , I. Lhenry-Yvon , D. Lo Presti , L. Lopes , R. López , L. Lu , Q. Luce , J. P. Lundquist , A. Machado Payeras , G. Mancarella , D. Mandat , B. C. Manning , J. Manshanden , P. Mantsch , S. Marafico , F. M. Mariani , A. G. Mariazzi , I. C. Mariş , G. Marsella , D. Martello , S. Martinelli , O. Martínez Bravo , M. Mastrodicasa , H. J. Mathes , J. Matthews , G. Matthiae , E. Mayotte , S. Mayotte , P. O. Mazur , G. Medina-Tanco , D. Melo , A. Menshikov , S. Michal , M. I. Micheletti , L. Miramonti , S. Mollerach , F. Montanet , L. Morejon , C. Morello , M. Mostafá , A. L. Müller , M. A. Muller , K. Mulrey , R. Mussa , M. Muzio , W. M. Namasaka , A. Nasr-Esfahani , L. Nellen , G. Nicora , M. Niculescu-Oglinzanu , M. Niechciol , D. Nitz , D. Nosek , V. Novotny , L. Nožka , A Nucita , L. A. Núñez , C. Oliveira , M. Palatka , J. Pallotta , P. Papenbreer , G. Parente , A. Parra , J. Pawlowsky , M. Pech , J. Pękala , R. Pelayo , J. Peña-Rodriguez , E. E. Pereira Martins , J. Perez Armand , C. Pérez Bertolli , M. Perlin , L. Perrone , S. Petrera , C. Petrucci , T. Pierog , M. Pimenta , V. Pirronello , M. Platino , B. Pont , M. Pothast , P. Privitera , M. Prouza , A. Puyleart , S. Querchfeld , J. Rautenberg , D. Ravignani , M. Reininghaus , J. Ridky , F. Riehn , M. Risse , V. Rizi , W. Rodrigues de Carvalho , J. Rodriguez Rojo , M. J. Roncoroni , S. Rossoni , M. Roth , E. Roulet , A. C. Rovero , P. Ruehl , A. Saftoiu , M. Saharan , F. Salamida , H. Salazar , G. Salina , J. D. Sanabria Gomez , F. Sánchez , E. M. Santos , E. Santos , F. Sarazin , R. Sarmento , C. Sarmiento-Cano , R. Sato , P. Savina , C. M. Schäfer , V. Scherini , H. Schieler , M. Schimassek , M. Schimp , F. Schlüter , D. Schmidt , O. Scholten , H. Schoorlemmer , P. Schovánek , F. G. Schröder , J. Schulte , T. Schulz , S. J. Sciutto , M. Scornavacche , A. Segreto , S. Sehgal , R. C. Shellard , G. Sigl , G. Silli , O. Sima , R. Smau , R. Šmída , P. Sommers , J. F. Soriano , R. Squartini , M. Stadelmaier , D. Stanca , S. Stanič , J. Stasielak , P. Stassi , A. Streich , M. Suárez-Durán , T. Sudholz , T. Suomijärvi , A. D. Supanitsky , Z. Szadkowski , A. Tapia , C. Taricco , C. Timmermans , O. Tkachenko , P. Tobiska , C. J. Todero Peixoto , B. Tomé , Z. Torrès , A. Travaini , P. Travnicek , C. Trimarelli , M. Tueros , R. Ulrich , M. Unger , L. Vaclavek , M. Vacula , J. F. Valdés Galicia , L. Valore , E. Varela , A. Vásquez-Ramírez , D. Veberič , C. Ventura , I. D. Vergara Quispe , V. Verzi , J. Vicha , J. Vink , S. Vorobiov , H. Wahlberg , C. Watanabe , A. A. Watson , A. Weindl , L. Wiencke , H. Wilczyński , D. Wittkowski , B. Wundheiler , A. Yushkov , O. Zapparrata , E. Zas , D. Zavrtanik , M. Zavrtanik , L. Zehrer

In the last years a general consensus has emerged on the use of ultra-high energy cosmic rays (UHECR) data as a powerful probe of the validity of special relativity. This applies in particular to the propagation of cosmic rays from their…

High Energy Astrophysical Phenomena · Physics 2015-09-04 D. Boncioli , A. di Matteo , F. Salamida , R. Aloisio , P. Blasi , P. L. Ghia , A. F. Grillo , S. Petrera , T. Pierog

The HiRes Collaboration has recently announced preliminary measurements of the energy spectrum of ultra-high energy cosmic rays (UHECR), as seen in monocular analyses from each of the two HiRes sites. This spectrum is consistent with the…

High Energy Physics - Experiment · Physics 2009-11-10 Douglas R. Bergman

We explore the possibility to geometrize the interaction of massive fermions with the quantum structure of space-time, trying to create a theoretical background, in order to explain what some recent experimental results seem to implicate on…

High Energy Physics - Phenomenology · Physics 2019-09-24 M. D. C. Torri , S. Bertini , M. Giammarchi , L. Miramonti

The nature of the unknown sources of ultra-high energy cosmic rays can be revealed through the detection of the GZK feature in the cosmic ray spectrum. The only two experiments that have probed this energy range, AGASA and HiRes, have…

Astrophysics · Physics 2007-05-23 Angela V. Olinto , Daniel De Marco , Pasquale Blasi

Ultra high energy cosmic rays (UHECRs) may interact with photon backgrounds and thus the universe is opaque to their propagation. Many Lorentz Invariance Violation (LIV) theories predict a dilation of the expected horizon from which UHECRs…

High Energy Physics - Phenomenology · Physics 2021-10-20 Marco Danilo Claudio Torri , Lorenzo Caccianiga , Armando di Matteo , Andrea Maino , Lino Miramonti

The implications of AUGER and HiRes results for patterns of Lorentz symmetry violation (LSV) are examined, focusing on weak doubly special relativity (WDSR). If the Greisen-Zatsepin-Kuzmin (GZK) cutoff is definitely confirmed, the mass…

High Energy Astrophysical Phenomena · Physics 2010-12-13 Luis Gonzalez-Mestres

It is not yet clear whether the observed flux suppression for ultra-high energy cosmic rays (UHECR) at energies above \simeq 4.10E19 eV is a signature of the Greisen-Zatsepin-Kuzmin (GZK) cutoff or corresponds, for instance, to the maximum…

High Energy Physics - Phenomenology · Physics 2012-02-10 Luis Gonzalez-Mestres

Lorentz invariance violation (LIV) introduced as a generic modification to particle dispersion relations can change the photon energy threshold of pair-production, which modifies the expected gamma-ray flux from astrophysical sources. In…

High Energy Astrophysical Phenomena · Physics 2019-01-11 Humberto Martínez-Huerta , Rodrigo G. Lang , Vitor de Souza

The clustering of ultra high energy cosmic ray events suggests that they have originated from compact sources. One of the possible physical mechanisms by which ultra high energy nuclei reach the Earth from far away astrophysical sources…

Astrophysics · Physics 2015-06-24 Nayantara Gupta

In this work, we use Lorentz invariance violation (LIV) introduced as a generic modification to particle dispersion relations to study some consequences of single photon emission, known as vacuum Cherenkov radiation, and photon decay…

High Energy Astrophysical Phenomena · Physics 2017-09-27 H. Martínez-Huerta , A. Pérez-Lorenzana

The measurement of the ultra high energy cosmic ray (UHECR) spectrum is strongly affected by uncertainties on the reconstructed energy. The determination of the presence or absence of the GZK cutoff and its position in the energy spectrum…

Astrophysics · Physics 2008-11-26 Washington Carvalho , Ivone F. M. Albuquerque , Vitor de Souza

The current measurements of the cosmic ray energy spectrum at ultra-high energies ($\text{E}>10^{19}$ eV) are characterized by large systematic errors and poor statistics. In addition, the experimental results of the two experiments with…

Astrophysics · Physics 2009-11-11 B. M. Connolly , S. Y. BenZvi , C. B. Finley , A. C. O'Neill , S. Westerhoff
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