The DOI matches its Crossref record; 60 of the 60 references it cites were found in a registry or an index.
Synchrotron radiation from the Crab Nebula discriminates between models of space–time foam
Open accessOverview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“More detailed calculations [222, 111, 221] show that in the case of the Crab nebula Equation (103) is correct”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [111]
Citations
Cites
Unity of All Elementary-Particle Forces
Georgi, H. M., & Glashow, S. L. (1974) · Physical Review Letters · doi:10.1103/physrevlett.32.438 · Cited by 4,528
Bound states of strings and p-branes
Witten, E. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(95)00610-9 · Cited by 1,780
Tests of quantum gravity from observations of γ-ray bursts
Amelino-Camelia, G., Ellis, J., Mavromatos, N. E., Nanopoulos, D. V., & Sarkar, S. (1998) · Nature · doi:10.1038/31647 · Cited by 1,430
Self-citationLorentz Invariance with an Invariant Energy Scale
Magueijo, J., & Smolin, L. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.190403 · Cited by 1,226
AMELINO-CAMELIA, G. (2002) · International Journal of Modern Physics D · doi:10.1142/s0218271802001330 · Cited by 1,186
High-energy tests of Lorentz invariance
Coleman, S., & Glashow, S. L. (1999) · Physical Review D · doi:10.1103/physrevd.59.116008 · Cited by 1,149
Bound states of strings and p-branes
Witten, E. H. (1995) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,090
Nonstandard optics from quantum space-time
Gambini, R., & Pullin, J. (1999) · Physical Review D · doi:10.1103/physrevd.59.124021 · Cited by 960
Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in VacuoPreprint
Giovanni Amelino-camelia, A., Ellis, J. R., Mavromatos, N. E., Nanopoulos, D. V., & Sarkar, S. (1997) · CERN Document Server (European Organization for Nuclear Research) · doi:10.48550/arxiv.astro-ph/9712103 · Cited by 766
Self-citationGiovanni Amelino-camelia, A. (2000) · CERN Document Server (European Organization for Nuclear Research) · Cited by 711
Research works printed but not linked: 5
- Ellis, 1994, vol. 31(1)
- For reviews see: L. Smolin, arXiv:hep-th/0303185 and references therein · arXiv
- F.W. Stecker, arXiv:astro-ph/0304527 and references therein · arXiv
- J.R. Ellis, N.E. Mavromatos, D.V. Nanopoulos, A. Sakharov, arXiv:gr-qc/0312044 · arXiv
- S. Liberati, T.A. Jacobson, D. Mattingly, arXiv:hep-ph/0110094 · arXiv
Cited by
Sorted by citations
Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061
“More detailed calculations [222, 111, 221] show that in the case of the Crab nebula Equation (103) is correct, although the argument of [153] does not necessarily hold in general.”
BackgroundQuantum-Spacetime Phenomenology
Giovanni Amelino-camelia, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-5 · Cited by 886
“Another opportunity to set limits on test theories with Planck-scale modified dispersion relations is provided by the study of the implications of modified dispersion relations for synchrotron radiation [306, 62, 309, 378, 231, 420, 39].”
BackgroundTests of Lorentz invariance: a 2013 update
Liberati, S. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/13/133001 · Cited by 492
“A class of models showing modified dispersion relations of the general form (equation (52)) was derived from the Liouville string approach to quantum spacetime [226, 50, 52].”
MethodLorentz violation at high energy: Concepts, phenomena, and astrophysical constraints
Ted Jacobson, A., Liberati, S., & Mattingly, D. (2005) · Annals of Physics · doi:10.1016/j.aop.2005.06.004 · Cited by 369
“This result was independently confirmed by [106] from the starting point of the Dirac equation.”
ResultLorentz violation at high energy: concepts, phenomena and astrophysical constraintsPreprint
Ted Jacobson, A., Liberati, S., & Mattingly, D. (2005) · Cited by 266
Derivation of a vacuum refractive index in a stringy space–time foam model
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (2008) · Physics Letters B · doi:10.1016/j.physletb.2008.06.029 · Cited by 158
Self-citationLorentz Violation: Motivation and New Constraints
Liberati, S., & Maccione, L. (2009) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.010909.083640 · Cited by 155
Lorentz Violation: Motivation and new constraints
Liberati, S., & Maccione, L. (2009) · DESY Publication Database (PUBDB) (Deutsches Elektronen-Synchrotron) · Cited by 93
Loop quantum gravity phenomenology and the issue of Lorentz invariance
Martin Bojowald, A., Morales-Técotl, H. A., & Sahlmann, H. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.084012 · Cited by 87
Supersymmetric D-brane model of space-time foam
Ellis, J. R., Mavromatos, N. E., & Westmuckett, M. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.044036 · Cited by 92
“This implies that our supersymmetric D-brane foam violates the universality of gravitational effects on matter, and in this sense the equivalence principle, a scenario advocated already in [38, 11, 10].”
BackgroundSelf-citationLimits on Lorentz Violation from Synchrotron and Inverse Compton Sources
Altschul, B. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.201101 · Cited by 78
A new touch temperature of the event horizon and Rindler horizon in the Kinnersley spacetime
Zhang, J., Liu, M., Liu, Z.-E., & Yang, S.-Z. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-021-09951-7 · Cited by 71
Time delays of strings in D-particle backgrounds and vacuum refractive indices
Li, T., Mavromatos, N. E., Nanopoulos, D. V., & Xie, D. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.07.062 · Cited by 71
Self-citationSynchrotron and inverse Compton constraints on Lorentz violations for electrons
Altschul, B. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.083003 · Cited by 69
Photon mass and gravitational deflection
Accioly, A. J., & Paszko, R. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.69.107501 · Cited by 66
CPT Violation and Decoherence in Quantum Gravity
Mavromatos, N. E. (2005) · Springer eBooks · doi:10.1007/11377306_8 · Cited by 66
Self-citationRobust constraint on Lorentz violation using Fermi-LAT gamma-ray burst data
Ellis, J. R., Konoplich, R., Mavromatos, N. E., Nguyen, L., Sakharov, A., & Sarkisyan, E. K. G. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.99.083009 · Cited by 65
Self-citationNew constraints on Planck-scale Lorentz Violation in QED from the Crab NebulaPreprint
Maccione, L., Liberati, S., Celotti, A., & Kirk, G. (2007) · Cited by 64
SPACE–TIME FOAM MAY VIOLATE THE PRINCIPLE OF EQUIVALENCE
Ellis, J. R., Mavromatos, N. E., Nanopoulos, D. V., & Sakharov, A. (2004) · International Journal of Modern Physics A · doi:10.1142/s0217751x04019780 · Cited by 63
Self-citationKruglov, S. I. (2012) · Physics Letters B · doi:10.1016/j.physletb.2012.10.037 · Cited by 61
Synchrotron radiation and quantum gravity
Ellis, J. R., Mavromatos, N. E., Nanopoulos, D. V., & Sakharov, A. (2004) · Nature · doi:10.1038/nature02481 · Cited by 60
Self-citationNew constraints on Planck-scale Lorentz violation in QED from the Crab Nebula
Maccione, L., Liberati, S., Celotti, A., & Kirk, J. G. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/10/013 · Cited by 60
Ellis, J. R., & Mavromatos, N. E. (2012) · Astroparticle Physics · doi:10.1016/j.astropartphys.2012.05.004 · Cited by 59
Self-citationProbing a possible vacuum refractive index with γ-ray telescopes
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.02.030 · Cited by 58
Self-citationSynchrotron radiation in Lorentz-violating electrodynamics: The Myers-Pospelov model
Montemayor, R., & Urrutia, L. F. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.045018 · Cited by 58
Tau neutrinos in the next decade: from GeV to EeV
Abraham, R. M., Álvarez-Muñiz, J., Argüelles, C. A., Ariga, A., Ariga, T., Aurisano, A., Autiero, D., Bishai, M., Bostan, N., Bustamante, M., et al. (2022) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/1361-6471/ac89d2 · Cited by 61
Lorentz violation and synchrotron radiation
Altschul, B. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.085003 · Cited by 56
STRING QUANTUM GRAVITY, LORENTZ-INVARIANCE VIOLATION AND GAMMA RAY ASTRONOMY
Mavromatos, N. E. (2010) · International Journal of Modern Physics A · doi:10.1142/s0217751x10050792 · Cited by 54
Self-citationLimits on neutrino Lorentz violation from multimessenger observations of TXS 0506+056
Ellis, J. R., Mavromatos, N. E., Sakharov, A., & Sarkisyan, E. K. G. (2018) · Physics Letters B · doi:10.1016/j.physletb.2018.11.062 · Cited by 49
“However, the value of M1 would depend in a stringinspired model on unknown quantities such as the string coupling, the density of defects in space-time, and the strength of particle interactions with such defects, which may not be universal between different particle species [25], so we maintain phenomenological open…”
BackgroundSelf-citationAstrophysical Bounds on Planck Suppressed Lorentz ViolationPreprint
Ted Jacobson, A., Liberati, S., & Mattingly, D. (2004) · Cited by 40
Pauli-Jordan function and scalar field quantization in κ -Minkowski noncommutative spacetime
Mercati, F., & Sergola, M. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.045017 · Cited by 34
MODIFIED WAVE EQUATION FOR SPINLESS PARTICLES AND ITS SOLUTIONS IN AN EXTERNAL MAGNETIC FIELD
Kruglov, S. I. (2013) · Modern Physics Letters A · doi:10.1142/s0217732313500144 · Cited by 35
Synchrotron radiation in Myers–Pospelov effective electrodynamics
Montemayor, R., & Urrutia, L. F. (2005) · Physics Letters B · doi:10.1016/j.physletb.2004.11.080 · Cited by 33
Flavor condensates in brane models and dark energy
Mavromatos, N. E., Sarkar, S., & Tarantino, W. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.084046 · Cited by 30
Self-citationUltrahigh-Energy Photons as Probes of Lorentz Symmetry Violations in Stringy Space-Time Foam Models
Maccione, L., Liberati, S., & Günter Sigl, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.021101 · Cited by 29
CPT Violation and decoherence in quantum gravity
Mavromatos, N. E. (2009) · Journal of Physics Conference Series · doi:10.1088/1742-6596/171/1/012007 · Cited by 35
Self-citationEllis, J. R., Mavromatos, N. E., Nanopoulos, D. V., & Sakharov, A. (2004) · New Journal of Physics · doi:10.1088/1367-2630/6/1/171 · Cited by 28
Self-citationQuantum Gravity phenomenology: achievements and challengesPreprint
Liberati, S., & Maccione, L. (2010) · Cited by 28
Quantum Gravity phenomenology: achievements and challenges
Liberati, S., & Maccione, L. (2011) · Journal of Physics Conference Series · doi:10.1088/1742-6596/314/1/012007 · Cited by 26
Decoherence and CPT Violation in a Stringy Model of Space-Time Foam
Mavromatos, N. E. (2009) · Foundations of Physics · doi:10.1007/s10701-009-9372-z · Cited by 25
Self-citationAstrophysical Bounds on Planck Suppressed Lorentz Violation
Ted Jacobson, A., Liberati, S., & Mattingly, D. (2005) · Springer eBooks · doi:10.1007/11377306_4 · Cited by 23
“(See also [ 61 ] for another demonstration that the electron trajectory is essentially unchanged.) Hence (17) holds in that framework.”
BackgroundAlternative approaches to Lorentz violation invariance in loop quantum gravity inspired models
Alfaro, J., Morales-Técotl, H. A., Reyes, M. C., & Urrutia, L. F. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.084002 · Cited by 21
Li, C., & Ma, B.-Q. (2022) · Physics Letters B · doi:10.1016/j.physletb.2022.137034 · Cited by 19
Lorentz Invariance Violation and Modified Hawking Fermions Tunneling Radiation
Yang, S.-Z., Lin, K., Li, J., & Jiang, Q.-Q. (2016) · Advances in High Energy Physics · doi:10.1155/2016/7058764 · Cited by 19
Neutrino signals of lightcone fluctuations resulting from fluctuating spacetime
Stuttard, T. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.104.056007 · Cited by 21
Synchrotron radiation in the standard model extension
Frolov, I. E., & Zhukovsky, V. C. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/34/017 · Cited by 19
Liberati, S., & Mattingly, D. (2015) · Springer eBooks · doi:10.1007/978-3-319-20224-2_11 · Cited by 17
Particle-Dependent Deformations of Lorentz Symmetry
Giovanni Amelino-camelia, A. (2012) · Symmetry · doi:10.3390/sym4030344 · Cited by 17
“, [44–46]) proposing mechanisms by which quantum-gravity/ quantum-spacetime effects could produce departures from Lorentz symmetry of different magnitude for different particles.”
BackgroundLorentz symmetry breaking: phenomenology and constraints
Liberati, S. (2015) · Journal of Physics Conference Series · doi:10.1088/1742-6596/631/1/012011 · Cited by 14
Modified fermions tunneling radiation from Kerr-Newman-de Sitter black hole
Yang, S.-Z., & Lin, K. (2018) · Zhongguo kexue. Wulixue Lixue Tianwenxue · doi:10.1360/sspma2018-00307 · Cited by 14
An application of Lorentz-invariance violation in black hole thermodynamics
Li, G.-P., Pu, J., Jiang, Q.-Q., & Zu, X.-T. (2017) · The European Physical Journal C · doi:10.1140/epjc/s10052-017-5220-z · Cited by 12
Lorentz Breaking Effective Field Theory and Observational Tests
Liberati, S. (2013) · Lecture notes in physics · doi:10.1007/978-3-319-00266-8_13 · Cited by 12
Sha, B., Liu, Z.-E., Liu, Y.-Z., Tan, X., Zhang, J., & Yang, S.-Z. (2020) · Chinese Physics C · doi:10.1088/1674-1137/abb4d6 · Cited by 11
Li, T., & Nanopoulos, D. V. (2012) · The European Physical Journal C · doi:10.1140/epjc/s10052-012-2044-8 · Cited by 10
Li, R., Ding, Q.-T., & Yang, S.-Z. (2022) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/ac71c2 · Cited by 10
Synchrotron Radiation in the Standard Model ExtensionPreprint
Frolov, I. E., & Zhukovsky, V. C. (2012) · Cited by 10
Lorentz-breaking theory and tunneling radiation correction to Vaidya–Bonner de Sitter Black Hole
Sha, B., & Liu, Z.-E. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-10577-6 · Cited by 10
“Although a set of theory of dispersion relation in the high energy field has not been effectively established, it is certain that the order of magnitude of this correction term numerical value is Planck scale [16-22].”
BackgroundSha, B., Liu, Z.-E., Tan, X., Liu, Y., & Zhang, J. (2020) · Advances in High Energy Physics · doi:10.1155/2020/3238401 · Cited by 9
“From the Rarita-Schwinger equation in flat space-time to the Rarita-Schwinger equation in curved space-time A modified dispersion relation on the quantum scale is given by[1-9] , (1) when consider the special case of the modified dispersion relation (the speed of light in vacuum c equals unit in the notations), where…”
BackgroundMethodTan, X., Liu, Y., Liu, Z.-E., Sha, B., Zhang, J., & Yang, S.-Z. (2020) · Modern Physics Letters A · doi:10.1142/s0217732320501680 · Cited by 9
Liu, Z.-E., Zhang, J., & Yang, S.-Z. (2021) · Results in Physics · doi:10.1016/j.rinp.2021.104710 · Cited by 9
Lorentz and CPT breaking in gamma-ray burst neutrinos from string theory
Li, C., & Ma, B.-Q. (2023) · Journal of High Energy Physics · doi:10.1007/jhep03(2023)230 · Cited by 9
High-energy γ-ray astronomy and string theory
Mavromatos, N. E. (2009) · Journal of Physics Conference Series · doi:10.1088/1742-6596/174/1/012016 · Cited by 9
Self-citationCorrection to the tunneling radiation of arbitrary spin fermions in Kerr Anti-de Sitter black hole
Liu, Z.-E., Tan, X., Sha, B., Liu, Y., & Zhang, J. (2019) · Modern Physics Letters A · doi:10.1142/s0217732320500558 · Cited by 9
Deformed dispersion relation constraint with hydrogen atom 1S-2S transition *
Pu, J., Li, G.-P., Jiang, Q.-Q., & Zu, X. (2020) · Chinese Physics C · doi:10.1088/1674-1137/44/1/014001 · Cited by 8
Lorentz- and CPT-violating neutrinos from string/D-brane model
Li, C., & Ma, B.-Q. (2022) · Physics Letters B · doi:10.1016/j.physletb.2022.137543 · Cited by 8
Time Delay of Photons of Different Energies in Multidimensional Cosmological Models
Harko, T., & Cheng, K. S. (2004) · The Astrophysical Journal · doi:10.1086/422378 · Cited by 10
Li, R., Yu, Z.-H., & Yang, S.-Z. (2022) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/ac8610 · Cited by 7
Equations for massless and massive spin-1/2 particles with varying speed and neutrino in matter
Kruglov, S. I. (2014) · International Journal of Modern Physics A · doi:10.1142/s0217751x14500316 · Cited by 6
Astrometric test of the weak equivalence principle
Xie, Y. (2018) · Physical Review D · doi:10.1103/physrevd.98.021501 · Cited by 5
Reality and causality in quantum gravity modified electrodynamics
Martínez, S. A., Montemayor, R., & Urrutia, L. F. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.065020 · Cited by 6
Zhang, J., Liu, Z.-E., Sha, B., Tan, X., & Liu, Y. (2020) · Communications in Theoretical Physics · doi:10.1088/1572-9494/ab7704 · Cited by 5
Liu, Y.-Z., Wang, C., Zhang, J., & Shu-Zheng, Y. (2025) · The European Physical Journal C · doi:10.1140/epjc/s10052-025-14747-0 · Cited by 5
“Simultaneously, considering the influences of the matter fields around real black holes in the universe, it is also worthwhile to study the characteristics of black holes [44,45].”
Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
Li, C., & Ma, B.-Q. (2025) · Symmetry · doi:10.3390/sym17060974 · Cited by 6
“The so-accelerated electrons emit synchrotron radiation with a spectrum that sharply cuts off at a critical frequency [160,308], where e is the electric charge, and γ v = ( 1 − v 2 e ( E e )) − 1/2 , with v e , the electron (group) velocity.”
Constraints on Lorentz invariance violation from GRB 221009A using the DisCan method*
习, Y. 余. X., & Shu, F.-W. (2025) · Chinese Physics C · doi:10.1088/1674-1137/adfa01 · Cited by 4
Comprehensive analysis on photon-electron Lorentz-violation parameter plane
He, P., & Ma, B.-Q. (2023) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.108.063006 · Cited by 4
“[19] J. R. Ellis, N. E. Mavromatos and A. S. Sakharov, “Synchrotron radiation from the Crab Nebula discriminates between models of space - time foam,” Astropart.”
BackgroundLi, R., Yu, Z.-H., & Yang, S.-Z. (2023) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/acbb9b · Cited by 4
Liu, Y., Tan, X., Zhang, J., Li, R., & Yang, S.-Z. (2023) · Universe · doi:10.3390/universe9070306 · Cited by 4
Effects on neutrino propagation in space-time foam of D-branes revisited
Li, C., & Ma, B.-Q. (2024) · Journal of High Energy Physics · doi:10.1007/jhep05(2024)266 · Cited by 4
“…, with a refractive index: Here, the suffix ( ν ) denotes explicitly a parameter ζ for an ordinary neutrino (antineutrino), because the effects of such a QG environment differ for different particle types [33] (considering a plausible violation of the equivalence principle [34]; see also, Ref.”
BackgroundGraviton propagation within the context of the D-material universe
Elghozi, T., Mavromatos, N. E., & Sakellariadou, M. (2017) · The European Physical Journal C · doi:10.1140/epjc/s10052-017-4998-z · Cited by 4
Self-citationHIGH ENERGY ASTROPHYSICS TESTS OF LORENTZ INVARIANCE VIOLATION
Stecker, F. W. (2005) · International Journal of Modern Physics A · doi:10.1142/s0217751x05025966 · Cited by 4
Stringy Space-Time Foam and High-Energy Cosmic Photons
Mavromatos, N. E. (2011) · Journal of Physics Conference Series · doi:10.1088/1742-6596/283/1/012022 · Cited by 4
Self-citationLorentz violating electrodynamics
González, B., Martínez, S. A., Montemayor, R., & Urrutia, L. F. (2005) · Journal of Physics Conference Series · doi:10.1088/1742-6596/24/1/008 · Cited by 4
Correction of Kerr-Sen Black Hole Temperature and Entropy by Lorentz Invariance Violation*
Wang, C., Tan, X., Zhang, J., Li, R., & Yang, S.-Z. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad2046 · Cited by 4
On massless and spinless particles with varying speed
Kruglov, S. I. (2013) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/101/60010 · Cited by 3
Constraining new fundamental physics with multiwavelength astrometry
Egorov, P., Guzinin, M., Hakobyan, H., & Troitsky, S. V. (2013) · Monthly Notices of the Royal Astronomical Society Letters · doi:10.1093/mnrasl/slt148 · Cited by 3
“The frequency dependence of photon paths may arise in certain models inspired by string theory (e.g. Ellis et al. (2004)), extensions of the minimal gravitational action (Accioly & Blas 2001), generalizations of the so-called doubly special relativity (Magueijo & Smolin 2004) or models formulated…”
MethodNovel foamy origin for singlet fermion masses
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.96.086012 · Cited by 3
Self-citationConstraints on Hořava–Lifshitz gravity from GRB 170817A
Zhang, T., Shu, F.-W., Tang, Q.-W., & Du, D.-H. (2020) · The European Physical Journal C · doi:10.1140/epjc/s10052-020-08626-z · Cited by 3
“[5] J.”
BackgroundDevelopment of the Universe and New CosmologyPreprint
Sakharov, A., & Hofer, H. (2003) · arXiv (Cornell University) · doi:10.48550/arxiv.astro-ph/0309326 · Cited by 3
Self-citationLorentz violating electrodynamicsPreprint
González-Fernández, B., Martínez, S. A., Montemayor, R., & Urrutia, L. F. (2005) · Cited by 3
Tan, X., Wang, C., & Yang, S.-Z. (2024) · Entropy · doi:10.3390/e26040326 · Cited by 3
“Before a theory of dispersion relations in the high-energy regime is established, it is generally believed that the order of magnitude of the correction terms for Lorentz dispersion relations is at the Planck scale [11–15].”
BackgroundShower formation in the presence of a string-inspired foam in space-time
Li, C. (2025) · Physics Letters B · doi:10.1016/j.physletb.2025.139823 · Cited by 2
Constraints to Lorentz violation and ultrahigh-energy electrons in D-foamy space-times
Li, C., & Ma, B.-Q. (2025) · Journal of High Energy Physics · doi:10.1007/jhep10(2025)216 · Cited by 2
“…survey [54] of the brightest ever GRB 221009A data finds direct signals for this preburst stage of GRBs. models for space-time fluctuations offer [40, 41] an extreme version of equivalence-principle violation in QG: D-particles have no ‘hair’ with only vacuum quantum numbers, so they are neutral…”
Lorentz Symmetry Breaking and Entropy Correction of Kerr-Newman-Ads Black Hole
Li, R., Yu, Z.-H., & Yang, S.-Z. (2023) · International Journal of Theoretical Physics · doi:10.1007/s10773-023-05290-3 · Cited by 2
Synchrotron radiation under conditions of violated lorentz invariance
Zhukovsky, V. C., & Frolov, I. E. (2008) · Moscow University Physics Bulletin · doi:10.3103/s0027134908010025 · Cited by 2
Modified Fermions Tunneling Radiation from Nonstationary, Axially Symmetric Kerr Black Hole
Pu, J., Lin, K., Zu, X., & Yang, S.-Z. (2019) · Advances in High Energy Physics · doi:10.1155/2019/5864042 · Cited by 2
Modified fermion tunneling radiation of Demianski–Newman black hole at higher energy scales
Luo, Z.-Q., & Lan, X. G. (2019) · Modern Physics Letters A · doi:10.1142/s0217732320500613 · Cited by 2
On massless and spinless particles with varying speedPreprint
Kruglov, S. I. (2016) · Cited by 2
Tan, X., & Shu-Zheng, Y. (2023) · Acta Physica Sinica · doi:10.7498/aps.73.20231463 · Cited by 1
Entropy Modifications of Charged Accelerating Anti-de Sitter Black Hole
Wang, C., Zhang, J., & Yang, S.-Z. (2025) · Entropy · doi:10.3390/e27090900 · Cited by 1
Magnetic monopoles in Lorentz-violating electrodynamics
Turcati, R., & Scatena, E. (2018) · Physics Letters B · doi:10.1016/j.physletb.2018.10.003 · Cited by 1
Metadata
- Authors
- Ellis, J. R., Mavromatos, N. E., & Sakharov, A. S.
- Affiliations
- European Organization for Nuclear Research (CH)
- University of London (GB)
- ETH Zurich (CH)
- Corresponding author
- Sakharov, A.S
- Venue
- Astroparticle Physics
- Publisher
- Elsevier BV
- Published
- 2004-03
- Volume
- 20
- Issue
- 6
- Pages
- 669-682
- ISSN
- 0927-6505 (ISSN-L)
- OpenAlex
- W2107380554
- Cited by
- 116
- References
- 60
- Citations by year
- 2026: 1 · 2025: 6 · 2024: 4 · 2023: 6 · 2022: 8 · 2021: 3 · 2020: 8 · 2019: 6 · 2018: 5 · 2017: 3 · 2016: 2 · 2015: 2 · 2014: 2 · 2013: 7 · 2012: 6
- FWCI
- 5.56
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Research Portal (King's College London) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Astrophysics and Cosmic Phenomena
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- synchrotron radiation, Crab Nebula, spacetime foam, quantum gravity, modified dispersion relations, electron dispersion relation, photon dispersion relation, equivalence principle, synchrotron spectrum
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
