Synchrotron radiation from the Crab Nebula discriminates between models of space–time foam
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In the case of the Crab nebula, Equation (103) for the maximum frequency of synchrotron radiation in the presence of Lorentz violation is correct.
“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]
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 · see citing works
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 · see citing works
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 · see citing works
Bound states of strings and p-branes
Witten, E. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(95)00610-9 · Cited by 1,225 · see citing works
AMELINO-CAMELIA, G. (2002) · International Journal of Modern Physics D · doi:10.1142/s0218271802001330 · Cited by 1,186 · see citing works
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 · see citing works
Bound states of strings and p-branes
Witten, E. H. (1995) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,090 · see citing works
Nonstandard optics from quantum space-time
Gambini, R., & Pullin, J. (1999) · Physical Review D · doi:10.1103/physrevd.59.124021 · Cited by 960 · see citing works
Giovanni Amelino-camelia, A. (2000) · CERN Document Server (European Organization for Nuclear Research) · Cited by 711 · see citing works
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 648 · see citing works
Self-citationTASI Lectures on D-BranesPreprint
Polchinski, J. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9611050 · Cited by 533 · cited 2× · see citing works
“with their ends attached to the D-brane [ 16 ], and only neutral excitations are allowed”
BackgroundMethodUltraviolet Modifications of Dispersion Relations in Effective Field Theory
Myers, R. C., & Pospelov, M. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.211601 · Cited by 499 · see citing works
Supersymmetric flipped SU(5) revitalized
Ignatios Antoniadis, A., Ellis, J. P., Hagelin, J. S., & Nanopoulos, D. V. (1987) · Physics Letters B · doi:10.1016/0370-2693(87)90533-8 · Cited by 498 · see citing works
Self-citationThe flipped SU(5)×U(1) string model revamped
Ignatios Antoniadis, A., Ellis, J. R., Hagelin, J. S., & Nanopoulos, D. V. (1989) · Physics Letters B · doi:10.1016/0370-2693(89)90115-9 · Cited by 459 · see citing works
Self-citationCosmic ray and neutrino tests of special relativity
Coleman, S., & Glashow, S. L. (1997) · Physics Letters B · doi:10.1016/s0370-2693(97)00638-2 · Cited by 426 · see citing works
Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
Giovanni Amelino-camelia, A., Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (1997) · International Journal of Modern Physics A · doi:10.1142/s0217751x97000566 · Cited by 378 · see citing works
Self-citationAmelino-Camelia, G., & Piran, T. (2001) · Physical Review D · doi:10.1103/physrevd.64.036005 · Cited by 375 · see citing works
Radiation from relativistic electrons
Sokolov, A. A., Ternov, I. M., & Kilmister, C. W. (1986) · International Linear Collider · Cited by 307 · see citing works
Gamma-Ray Observations of the Crab Nebula: A Study of the Synchro-Compton Spectrum
de Jager, O. C., Harding, A. K., Michelson, P. F., Nel, H. I., Nolan, P. L., Sreekumar, P. G., & Thompson, D. J. (1996) · The Astrophysical Journal · doi:10.1086/176726 · Cited by 281 · see citing works
A strong astrophysical constraint on the violation of special relativity by quantum gravity
Jacobson, T., Liberati, S., & Mattingly, D. (2003) · Nature · doi:10.1038/nature01882 · Cited by 277 · see citing works
Cosmic Ray and Neutrino Tests of Special Relativity
Coleman, S., & Glashow, S. L. (1997) · CERN Document Server (European Organization for Nuclear Research) · Cited by 276 · see citing works
String theory modifies quantum mechanics
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)91478-r · Cited by 269 · see citing works
Self-citationBiller, S. D., Breslin, A. C., Buckley, J., Catanese, M., Carson, M., Carter-Lewis, D. A., Cawley, M. F., Fegan, D. J., Finley, J. P., Gaidos, J. A., et al. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.2108 · Cited by 269 · see citing works
Jacobson, T., Liberati, S., & Mattingly, D. (2003) · Physical Review D · doi:10.1103/physrevd.67.124011 · Cited by 240 · see citing works
The Spectrum of TeV Gamma Rays from the Crab Nebula
Hillas, A. M., Akerlof, C. W., Biller, S. D., Buckley, J. H., Carter‐Lewis, D. A., Catanese, M., Cawley, M. F., Fegan, D. J., Finley, J. P., Gaidos, J. A., et al. (1998) · The Astrophysical Journal · doi:10.1086/306005 · Cited by 233 · see citing works
A Search in Gamma‐Ray Burst Data for Nonconstancy of the Velocity of Light
Ellis, J. R., Farakos, K., Mavromatos, N. E., Mitsou, V. A., & Nanopoulos, D. V. (2000) · The Astrophysical Journal · doi:10.1086/308825 · Cited by 226 · see citing works
Self-citationLower bound on the propagation speed of gravity from gravitational Cherenkov radiation
Moore, G. D., & Nelson, A. E. (2001) · Journal of High Energy Physics · doi:10.1088/1126-6708/2001/09/023 · Cited by 208 · see citing works
TeV astrophysics constraints on Planck scale Lorentz violation
Jacobson, T., Liberati, S., & Mattingly, D. (2002) · Physical Review D · doi:10.1103/physrevd.66.081302 · Cited by 204 · see citing works
Gut model-building with fermionic four-dimensional strings
Ignatios Antoniadis, A., Ellis, J. R., Hagelin, J. S., & Nanopoulos, D. V. (1988) · Physics Letters B · doi:10.1016/0370-2693(88)90978-1 · Cited by 186 · see citing works
Self-citationQuantum-gravity analysis of gamma-ray bursts using wavelets
Ellis, J. R., Mavromatos, N. E., Nanopoulos, D. V., & Sakharov, A. (2003) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20030263 · Cited by 171 · see citing works
Self-citationVery high-energy gamma-ray astronomy
Ong, R. A. (1998) · Physics Reports · doi:10.1016/s0370-1573(98)00026-x · Cited by 142 · see citing works
Loop-generated bounds on changes to the graviton dispersion relation
Burgess, C. P., Cline, J. M., Filotas, E., Matias, J., & Moore, G. D. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/03/043 · Cited by 138 · see citing works
Observational Bounds on Quantum Gravity Signals using Existing Data
Sudarsky, D., Urrutia, L. F., & Vucetich, H. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.231301 · Cited by 123 · see citing works
Microscopic recoil model for light-cone fluctuations in quantum gravity
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.027503 · Cited by 117 · see citing works
Self-citationQuantum gravity and spin-1/2 particle effective dynamics
Alfaro, J., Morales-Técotl, H. A., & Urrutia, L. F. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.124006 · Cited by 114 · see citing works
Observational limits on quantum geometry effects
Konopka, T. J., & Major, S. A. (2002) · New Journal of Physics · doi:10.1088/1367-2630/4/1/357 · Cited by 112 · see citing works
SELECTED TOPICS IN PLANCK-SCALE PHYSICS
Ng, Y. J. (2003) · Modern Physics Letters A · doi:10.1142/s0217732303010934 · Cited by 110 · see citing works
Loop-Generated Bounds on Changes to the Graviton Dispersion Relation
Burgess, C. P., Cline, J., Filotas, E., Matias, J., & Moore, G. D. (2002) · CERN Document Server (European Organization for Nuclear Research) · Cited by 92 · see citing works
Gravitational-Recoil Effects on Fermion Propagation in Space-Time Foam
Ellis, J. R., Mavromatos, N. E., Nanopoulos, D. V., & Volkov, G. G. (2000) · General Relativity and Gravitation · doi:10.1023/a:1001980530113 · Cited by 85 · see citing works
Self-citationMatrix D-brane dynamics, logarithmic operators, and quantization of noncommutative spacetime
Mavromatos, N. E., & Szabo, R. J. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.104018 · Cited by 79 · see citing works
Self-citationDynamical formation of horizons in recoiling D-branes
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.084019 · Cited by 78 · see citing works
Self-citationGiovanni Amelino-camelia, A. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0212002 · Cited by 73 · see citing works
A Microscopic Liouville Arrow of TimePreprint
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (1998) · Cited by 72 · see citing works
Self-citationVery High Energy Gamma Rays from the Vela Pulsar Direction
Yoshikoshi, T., Kifune, T., Dazeley, S. A., Edwards, P. G., Hara, T., Hayami, Y., Kakimoto, F., Konishi, T., Masaike, A., Matsubara, Y., et al. (1997) · The Astrophysical Journal · doi:10.1086/310874 · Cited by 72 · see citing works
A microscopic Liouville arrow of time
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (1999) · Chaos Solitons & Fractals · doi:10.1016/s0960-0779(98)00152-0 · Cited by 67 · see citing works
Self-citationSpace-time foam effects on particle interactions and the Greisen-Zatsepin-Kuzmin cutoff
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.124025 · Cited by 63 · see citing works
Self-citationSPACE–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 · see citing works
Self-citationProbing Planck-Scale Physics with Extragalactic Sources?
Ng, Y. J., Christiansen, W. A., & van Dam, H. (2003) · The Astrophysical Journal · doi:10.1086/377121 · Cited by 63 · see citing works
The Lack of Observational Evidence for the Quantum Structure of Spacetime at Planck Scales
Roberto Ragazzoni, B., Turatto, M., & Gaessler, W. (2003) · The Astrophysical Journal · doi:10.1086/375046 · Cited by 57 · see citing works
Energy–momentum uncertainties as possible origin of threshold anomalies in UHECR and TeV-γ events
Ng, Y. J., Lee, D.-S., Oh, M. C., & van Dam, H. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)00436-1 · Cited by 35 · see citing works
Pulsar Radiation and Quantum GravityPreprint
Kaaret, P. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.astro-ph/9903464 · Cited by 24 · see citing works
High energy constraints on Lorentz symmetry violations
Liberati, S., Ted Jacobson, A., & Mattingly, D. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 24 · see citing works
A Liouville String Approach to Microscopic Time and CosmologyPreprint
Ellis, J. R., Mavromatos, N. E., & Nanopoulos, D. V. (1993) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9311148 · Cited by 20 · see citing works
Self-citationEvading the GZK Cosmic-Ray CutoffPreprint
Coleman, S., & Glashow, S. L. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/9808446 · Cited by 19 · see citing works
Ted Jacobson, A., Liberati, S., & Mattingly, D. (2003) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0303001 · Cited by 17 · see citing works
Tests of quantum gravity and large extra dimensions models using high energy γ-ray observations
Stecker, F. W. (2004) · New Astronomy Reviews · doi:10.1016/j.newar.2003.12.021 · Cited by 8 · see citing works
Lorentz Invariance and Superluminal ParticlesPreprint
Mestres, L. G. (1997) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/9703020 · Cited by 6 · see citing works
LORENTZ SYMMETRY VIOLATION AT PLANCK SCALE, COSMOLOGY AND SUPERLUMINAL PARTICLES
Mestres, L. G. (1998) · International Workshop on Particle Physics and the Early Universe (COSMO) · doi:10.1142/9789814447263_0085 · Cited by 5 · see citing works
Stringent limits on the existence of Planck time from stellar interferometryPreprint
Lieu, R., & Hillman, L. W. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.astro-ph/0211402 · Cited by 4 · see citing works
Remarks on experimental bounds to quantum gravity effects on fermions
Dotti, G., & Gleiser, R. J. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.67.101501 · Cited by 2 · see citing works
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Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061 · see citing works
“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 799 · see citing works
“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 447 · see citing works
“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 · see citing works
“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 · see citing works
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 · see citing works
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 · see citing works
Lorentz Violation: Motivation and new constraints
Liberati, S., & Maccione, L. (2009) · DESY Publication Database (PUBDB) (Deutsches Elektronen-Synchrotron) · Cited by 93 · see citing works
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 92 · see citing works
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 · see citing works
“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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 67 · see citing works
CPT Violation and Decoherence in Quantum Gravity
Mavromatos, N. E. (2005) · Springer eBooks · doi:10.1007/11377306_8 · Cited by 66 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
Self-citationKruglov, S. I. (2012) · Physics Letters B · doi:10.1016/j.physletb.2012.10.037 · Cited by 61 · see citing works
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 · see citing works
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 · see citing works
Ellis, J. R., & Mavromatos, N. E. (2012) · Astroparticle Physics · doi:10.1016/j.astropartphys.2012.05.004 · Cited by 59 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
“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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 28 · see citing works
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 · see citing works
Self-citationQuantum Gravity phenomenology: achievements and challengesPreprint
Liberati, S., & Maccione, L. (2010) · Cited by 28 · see citing works
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 · see citing works
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 · see citing works
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 citing works
“(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 · see citing works
Li, C., & Ma, B.-Q. (2022) · Physics Letters B · doi:10.1016/j.physletb.2022.137034 · Cited by 19 · see citing works
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 · see citing works
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 18 · see citing works
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 · see citing works
Liberati, S., & Mattingly, D. (2015) · Springer eBooks · doi:10.1007/978-3-319-20224-2_11 · Cited by 17 · see citing works
Particle-Dependent Deformations of Lorentz Symmetry
Giovanni Amelino-camelia, A. (2012) · Symmetry · doi:10.3390/sym4030344 · Cited by 17 · see citing works
“, [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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
Li, T., & Nanopoulos, D. V. (2012) · The European Physical Journal C · doi:10.1140/epjc/s10052-012-2044-8 · Cited by 10 · see citing works
Li, R., Ding, Q.-T., & Yang, S.-Z. (2022) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/ac71c2 · Cited by 10 · see citing works
Synchrotron Radiation in the Standard Model ExtensionPreprint
Frolov, I. E., & Zhukovsky, V. C. (2012) · Cited by 10 · see citing works
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 · see citing works
“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 · see citing works
“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 · see citing works
Liu, Z.-E., Zhang, J., & Yang, S.-Z. (2021) · Results in Physics · doi:10.1016/j.rinp.2021.104710 · Cited by 9 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 8 · see citing works
Li, R., Yu, Z.-H., & Yang, S.-Z. (2022) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/ac8610 · Cited by 7 · see citing works
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 · see citing works
Astrometric test of the weak equivalence principle
Xie, Y. (2018) · Physical Review D · doi:10.1103/physrevd.98.021501 · Cited by 5 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
“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 4 · see citing works
“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 · see citing works
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 · see citing works
“[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 · see citing works
Liu, Y., Tan, X., Zhang, J., Li, R., & Yang, S.-Z. (2023) · Universe · doi:10.3390/universe9070306 · Cited by 4 · see citing works
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 · see citing works
“…, 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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
“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 · see citing works
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 · see citing works
“[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 · see citing works
Self-citationLorentz violating electrodynamicsPreprint
González-Fernández, B., Martínez, S. A., Montemayor, R., & Urrutia, L. F. (2005) · Cited by 3 · see citing works
Tan, X., Wang, C., & Yang, S.-Z. (2024) · Entropy · doi:10.3390/e26040326 · Cited by 3 · see citing works
“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 · see citing works
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 · see citing works
“…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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
On massless and spinless particles with varying speedPreprint
Kruglov, S. I. (2016) · Cited by 2 · see citing works
Tan, X., & Shu-Zheng, Y. (2023) · Acta Physica Sinica · doi:10.7498/aps.73.20231463 · Cited by 1 · see citing works
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 · see citing works
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 · see citing works
- 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 › Statistical and Nonlinear 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
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