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Title: A limit on the variation of the speed of light arising from quantum gravity effects

Abstract

A cornerstone of Einstein's special relativity is Lorentz invariance—the postulate that all observers measure exactly the same speed of light in vacuum, independent of photon-energy. While special relativity assumes that there is no fundamental length-scale associated with such invariance, there is a fundamental scale (the Planck scale, lPlanck ≈ 1.62 x 10-33 cm or EPlanck = MPlanckc2 ≈ 1.22 x 1019 GeV), at which quantum effects are expected to strongly affect the nature of space–time. There is great interest in the (not yet validated) idea that Lorentz invariance might break near the Planck scale. A key test of such violation of Lorentz invariance is a possible variation of photon speed with energy. Even a tiny variation in photon speed, when accumulated over cosmological light-travel times, may be revealed by observing sharp features in γ-ray burst (GRB) light-curves. In this paper, we report the detection of emission up to ~31 GeV from the distant and short GRB 090510. We find no evidence for the violation of Lorentz invariance, and place a lower limit of 1.2EPlanck on the scale of a linear energy dependence (or an inverse wavelength dependence), subject to reasonable assumptions about the emission (equivalently we have an upper limitmore » of lPlanck/1.2 on the length scale of the effect). Finally, our results disfavour quantum-gravity theories in which the quantum nature of space–time on a very small scale linearly alters the speed of light.« less

Authors:
; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; more »; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; « less
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
Contributing Org.:
Fermi LAT Collaboration; Fermi GBM Collaboration
OSTI Identifier:
1357435
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Nature (London)
Additional Journal Information:
Journal Name: Nature (London); Journal Volume: 462; Journal Issue: 7271; Journal ID: ISSN 0028-0836
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Abdo, A. A., Ackermann, M., Ajello, M., Asano, K., Atwood, W. B., Axelsson, M., Baldini, L., Ballet, J., Barbiellini, G., Baring, M. G., Bastieri, D., Bechtol, K., Bellazzini, R., Berenji, B., Bhat, P. N., Bissaldi, E., Bloom, E. D., Bonamente, E., Bonnell, J., Borgland, A. W., Bouvier, A., Bregeon, J., Brez, A., Briggs, M. S., Brigida, M., Bruel, P., Burgess, J. M., Burnett, T. H., Caliandro, G. A., Cameron, R. A., Caraveo, P. A., Casandjian, J. M., Cecchi, C., Çelik, Ö., Chaplin, V., Charles, E., Cheung, C. C., Chiang, J., Ciprini, S., Claus, R., Cohen-Tanugi, J., Cominsky, L. R., Connaughton, V., Conrad, J., Cutini, S., Dermer, C. D., de Angelis, A., de Palma, F., Digel, S. W., Dingus, B. L., do Couto e Silva, E., Drell, P. S., Dubois, R., Dumora, D., Farnier, C., Favuzzi, C., Fegan, S. J., Finke, J., Fishman, G., Focke, W. B., Foschini, L., Fukazawa, Y., Funk, S., Fusco, P., Gargano, F., Gasparrini, D., Gehrels, N., Germani, S., Gibby, L., Giebels, B., Giglietto, N., Giordano, F., Glanzman, T., Godfrey, G., Granot, J., Greiner, J., Grenier, I. A., Grondin, M. -H., Grove, J. E., Grupe, D., Guillemot, L., Guiriec, S., Hanabata, Y., Harding, A. K., Hayashida, M., Hays, E., Hoversten, E. A., Hughes, R. E., Jóhannesson, G., Johnson, A. S., Johnson, R. P., Johnson, W. N., Kamae, T., Katagiri, H., Kataoka, J., Kawai, N., Kerr, M., Kippen, R. M., Knödlseder, J., Kocevski, D., Kouveliotou, C., Kuehn, F., Kuss, M., Lande, J., Latronico, L., Lemoine-Goumard, M., Longo, F., Loparco, F., Lott, B., Lovellette, M. N., Lubrano, P., Madejski, G. M., Makeev, A., Mazziotta, M. N., McBreen, S., McEnery, J. E., McGlynn, S., Mészáros, P., Meurer, C., Michelson, P. F., Mitthumsiri, W., Mizuno, T., Moiseev, A. A., Monte, C., Monzani, M. E., Moretti, E., Morselli, A., Moskalenko, I. V., Murgia, S., Nakamori, T., Nolan, P. L., Norris, J. P., Nuss, E., Ohno, M., Ohsugi, T., Omodei, N., Orlando, E., Ormes, J. F., Ozaki, M., Paciesas, W. S., Paneque, D., Panetta, J. H., Parent, D., Pelassa, V., Pepe, M., Pesce-Rollins, M., Petrosian, V., Piron, F., Porter, T. A., Preece, R., Rainò, S., Ramirez-Ruiz, E., Rando, R., Razzano, M., Razzaque, S., Reimer, A., Reimer, O., Reposeur, T., Ritz, S., Rochester, L. S., Rodriguez, A. Y., Roth, M., Ryde, F., Sadrozinski, H. F. -W., Sanchez, D., Sander, A., Saz Parkinson, P. M., Scargle, J. D., Schalk, T. L., Sgrò, C., Siskind, E. J., Smith, D. A., Smith, P. D., Spandre, G., Spinelli, P., Stamatikos, M., Stecker, F. W., Strickman, M. S., Suson, D. J., Tajima, H., Takahashi, H., Takahashi, T., Tanaka, T., Thayer, J. B., Thayer, J. G., Thompson, D. J., Tibaldo, L., Toma, K., Torres, D. F., Tosti, G., Troja, E., Uchiyama, Y., Uehara, T., Usher, T. L., van der Horst, A. J., Vasileiou, V., Vilchez, N., Vitale, V., von Kienlin, A., Waite, A. P., Wang, P., Wilson-Hodge, C., Winer, B. L., Wood, K. S., Wu, X. F., Yamazaki, R., Ylinen, T., and Ziegler, M. A limit on the variation of the speed of light arising from quantum gravity effects. United States: N. p., 2009. Web. doi:10.1038/nature08574.
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Abdo, A. A., Ackermann, M., Ajello, M., Asano, K., Atwood, W. B., Axelsson, M., Baldini, L., Ballet, J., Barbiellini, G., Baring, M. G., Bastieri, D., Bechtol, K., Bellazzini, R., Berenji, B., Bhat, P. N., Bissaldi, E., Bloom, E. D., Bonamente, E., Bonnell, J., Borgland, A. W., Bouvier, A., Bregeon, J., Brez, A., Briggs, M. S., Brigida, M., Bruel, P., Burgess, J. M., Burnett, T. H., Caliandro, G. A., Cameron, R. A., Caraveo, P. A., Casandjian, J. M., Cecchi, C., Çelik, Ö., Chaplin, V., Charles, E., Cheung, C. C., Chiang, J., Ciprini, S., Claus, R., Cohen-Tanugi, J., Cominsky, L. R., Connaughton, V., Conrad, J., Cutini, S., Dermer, C. D., de Angelis, A., de Palma, F., Digel, S. W., Dingus, B. L., do Couto e Silva, E., Drell, P. S., Dubois, R., Dumora, D., Farnier, C., Favuzzi, C., Fegan, S. J., Finke, J., Fishman, G., Focke, W. B., Foschini, L., Fukazawa, Y., Funk, S., Fusco, P., Gargano, F., Gasparrini, D., Gehrels, N., Germani, S., Gibby, L., Giebels, B., Giglietto, N., Giordano, F., Glanzman, T., Godfrey, G., Granot, J., Greiner, J., Grenier, I. A., Grondin, M. -H., Grove, J. E., Grupe, D., Guillemot, L., Guiriec, S., Hanabata, Y., Harding, A. K., Hayashida, M., Hays, E., Hoversten, E. A., Hughes, R. E., Jóhannesson, G., Johnson, A. S., Johnson, R. P., Johnson, W. N., Kamae, T., Katagiri, H., Kataoka, J., Kawai, N., Kerr, M., Kippen, R. M., Knödlseder, J., Kocevski, D., Kouveliotou, C., Kuehn, F., Kuss, M., Lande, J., Latronico, L., Lemoine-Goumard, M., Longo, F., Loparco, F., Lott, B., Lovellette, M. N., Lubrano, P., Madejski, G. M., Makeev, A., Mazziotta, M. N., McBreen, S., McEnery, J. E., McGlynn, S., Mészáros, P., Meurer, C., Michelson, P. F., Mitthumsiri, W., Mizuno, T., Moiseev, A. A., Monte, C., Monzani, M. E., Moretti, E., Morselli, A., Moskalenko, I. V., Murgia, S., Nakamori, T., Nolan, P. L., Norris, J. P., Nuss, E., Ohno, M., Ohsugi, T., Omodei, N., Orlando, E., Ormes, J. F., Ozaki, M., Paciesas, W. S., Paneque, D., Panetta, J. H., Parent, D., Pelassa, V., Pepe, M., Pesce-Rollins, M., Petrosian, V., Piron, F., Porter, T. A., Preece, R., Rainò, S., Ramirez-Ruiz, E., Rando, R., Razzano, M., Razzaque, S., Reimer, A., Reimer, O., Reposeur, T., Ritz, S., Rochester, L. S., Rodriguez, A. Y., Roth, M., Ryde, F., Sadrozinski, H. F. -W., Sanchez, D., Sander, A., Saz Parkinson, P. M., Scargle, J. D., Schalk, T. L., Sgrò, C., Siskind, E. J., Smith, D. A., Smith, P. D., Spandre, G., Spinelli, P., Stamatikos, M., Stecker, F. W., Strickman, M. S., Suson, D. J., Tajima, H., Takahashi, H., Takahashi, T., Tanaka, T., Thayer, J. B., Thayer, J. G., Thompson, D. J., Tibaldo, L., Toma, K., Torres, D. F., Tosti, G., Troja, E., Uchiyama, Y., Uehara, T., Usher, T. L., van der Horst, A. J., Vasileiou, V., Vilchez, N., Vitale, V., von Kienlin, A., Waite, A. P., Wang, P., Wilson-Hodge, C., Winer, B. L., Wood, K. S., Wu, X. F., Yamazaki, R., Ylinen, T., & Ziegler, M. A limit on the variation of the speed of light arising from quantum gravity effects. United States. https://doi.org/10.1038/nature08574
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Abdo, A. A., Ackermann, M., Ajello, M., Asano, K., Atwood, W. B., Axelsson, M., Baldini, L., Ballet, J., Barbiellini, G., Baring, M. G., Bastieri, D., Bechtol, K., Bellazzini, R., Berenji, B., Bhat, P. N., Bissaldi, E., Bloom, E. D., Bonamente, E., Bonnell, J., Borgland, A. W., Bouvier, A., Bregeon, J., Brez, A., Briggs, M. S., Brigida, M., Bruel, P., Burgess, J. M., Burnett, T. H., Caliandro, G. A., Cameron, R. A., Caraveo, P. A., Casandjian, J. M., Cecchi, C., Çelik, Ö., Chaplin, V., Charles, E., Cheung, C. C., Chiang, J., Ciprini, S., Claus, R., Cohen-Tanugi, J., Cominsky, L. R., Connaughton, V., Conrad, J., Cutini, S., Dermer, C. D., de Angelis, A., de Palma, F., Digel, S. W., Dingus, B. L., do Couto e Silva, E., Drell, P. S., Dubois, R., Dumora, D., Farnier, C., Favuzzi, C., Fegan, S. J., Finke, J., Fishman, G., Focke, W. B., Foschini, L., Fukazawa, Y., Funk, S., Fusco, P., Gargano, F., Gasparrini, D., Gehrels, N., Germani, S., Gibby, L., Giebels, B., Giglietto, N., Giordano, F., Glanzman, T., Godfrey, G., Granot, J., Greiner, J., Grenier, I. A., Grondin, M. -H., Grove, J. E., Grupe, D., Guillemot, L., Guiriec, S., Hanabata, Y., Harding, A. K., Hayashida, M., Hays, E., Hoversten, E. A., Hughes, R. E., Jóhannesson, G., Johnson, A. S., Johnson, R. P., Johnson, W. N., Kamae, T., Katagiri, H., Kataoka, J., Kawai, N., Kerr, M., Kippen, R. M., Knödlseder, J., Kocevski, D., Kouveliotou, C., Kuehn, F., Kuss, M., Lande, J., Latronico, L., Lemoine-Goumard, M., Longo, F., Loparco, F., Lott, B., Lovellette, M. N., Lubrano, P., Madejski, G. M., Makeev, A., Mazziotta, M. N., McBreen, S., McEnery, J. E., McGlynn, S., Mészáros, P., Meurer, C., Michelson, P. F., Mitthumsiri, W., Mizuno, T., Moiseev, A. A., Monte, C., Monzani, M. E., Moretti, E., Morselli, A., Moskalenko, I. V., Murgia, S., Nakamori, T., Nolan, P. L., Norris, J. P., Nuss, E., Ohno, M., Ohsugi, T., Omodei, N., Orlando, E., Ormes, J. F., Ozaki, M., Paciesas, W. S., Paneque, D., Panetta, J. H., Parent, D., Pelassa, V., Pepe, M., Pesce-Rollins, M., Petrosian, V., Piron, F., Porter, T. A., Preece, R., Rainò, S., Ramirez-Ruiz, E., Rando, R., Razzano, M., Razzaque, S., Reimer, A., Reimer, O., Reposeur, T., Ritz, S., Rochester, L. S., Rodriguez, A. Y., Roth, M., Ryde, F., Sadrozinski, H. F. -W., Sanchez, D., Sander, A., Saz Parkinson, P. M., Scargle, J. D., Schalk, T. L., Sgrò, C., Siskind, E. J., Smith, D. A., Smith, P. D., Spandre, G., Spinelli, P., Stamatikos, M., Stecker, F. W., Strickman, M. S., Suson, D. J., Tajima, H., Takahashi, H., Takahashi, T., Tanaka, T., Thayer, J. B., Thayer, J. G., Thompson, D. J., Tibaldo, L., Toma, K., Torres, D. F., Tosti, G., Troja, E., Uchiyama, Y., Uehara, T., Usher, T. L., van der Horst, A. J., Vasileiou, V., Vilchez, N., Vitale, V., von Kienlin, A., Waite, A. P., Wang, P., Wilson-Hodge, C., Winer, B. L., Wood, K. S., Wu, X. F., Yamazaki, R., Ylinen, T., and Ziegler, M. Wed . "A limit on the variation of the speed of light arising from quantum gravity effects". United States. https://doi.org/10.1038/nature08574. https://www.osti.gov/servlets/purl/1357435.
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@article{osti_1357435,
title = {A limit on the variation of the speed of light arising from quantum gravity effects},
author = {Abdo, A. A. and Ackermann, M. and Ajello, M. and Asano, K. and Atwood, W. B. and Axelsson, M. and Baldini, L. and Ballet, J. and Barbiellini, G. and Baring, M. G. and Bastieri, D. and Bechtol, K. and Bellazzini, R. and Berenji, B. and Bhat, P. N. and Bissaldi, E. and Bloom, E. D. and Bonamente, E. and Bonnell, J. and Borgland, A. W. and Bouvier, A. and Bregeon, J. and Brez, A. and Briggs, M. S. and Brigida, M. and Bruel, P. and Burgess, J. M. and Burnett, T. H. and Caliandro, G. A. and Cameron, R. A. and Caraveo, P. A. and Casandjian, J. M. and Cecchi, C. and Çelik, Ö. and Chaplin, V. and Charles, E. and Cheung, C. C. and Chiang, J. and Ciprini, S. and Claus, R. and Cohen-Tanugi, J. and Cominsky, L. R. and Connaughton, V. and Conrad, J. and Cutini, S. and Dermer, C. D. and de Angelis, A. and de Palma, F. and Digel, S. W. and Dingus, B. L. and do Couto e Silva, E. and Drell, P. S. and Dubois, R. and Dumora, D. and Farnier, C. and Favuzzi, C. and Fegan, S. J. and Finke, J. and Fishman, G. and Focke, W. B. and Foschini, L. and Fukazawa, Y. and Funk, S. and Fusco, P. and Gargano, F. and Gasparrini, D. and Gehrels, N. and Germani, S. and Gibby, L. and Giebels, B. and Giglietto, N. and Giordano, F. and Glanzman, T. and Godfrey, G. and Granot, J. and Greiner, J. and Grenier, I. A. and Grondin, M. -H. and Grove, J. E. and Grupe, D. and Guillemot, L. and Guiriec, S. and Hanabata, Y. and Harding, A. K. and Hayashida, M. and Hays, E. and Hoversten, E. A. and Hughes, R. E. and Jóhannesson, G. and Johnson, A. S. and Johnson, R. P. and Johnson, W. N. and Kamae, T. and Katagiri, H. and Kataoka, J. and Kawai, N. and Kerr, M. and Kippen, R. M. and Knödlseder, J. and Kocevski, D. and Kouveliotou, C. and Kuehn, F. and Kuss, M. and Lande, J. and Latronico, L. and Lemoine-Goumard, M. and Longo, F. and Loparco, F. and Lott, B. and Lovellette, M. N. and Lubrano, P. and Madejski, G. M. and Makeev, A. and Mazziotta, M. N. and McBreen, S. and McEnery, J. E. and McGlynn, S. and Mészáros, P. and Meurer, C. and Michelson, P. F. and Mitthumsiri, W. and Mizuno, T. and Moiseev, A. A. and Monte, C. and Monzani, M. E. and Moretti, E. and Morselli, A. and Moskalenko, I. V. and Murgia, S. and Nakamori, T. and Nolan, P. L. and Norris, J. P. and Nuss, E. and Ohno, M. and Ohsugi, T. and Omodei, N. and Orlando, E. and Ormes, J. F. and Ozaki, M. and Paciesas, W. S. and Paneque, D. and Panetta, J. H. and Parent, D. and Pelassa, V. and Pepe, M. and Pesce-Rollins, M. and Petrosian, V. and Piron, F. and Porter, T. A. and Preece, R. and Rainò, S. and Ramirez-Ruiz, E. and Rando, R. and Razzano, M. and Razzaque, S. and Reimer, A. and Reimer, O. and Reposeur, T. and Ritz, S. and Rochester, L. S. and Rodriguez, A. Y. and Roth, M. and Ryde, F. and Sadrozinski, H. F. -W. and Sanchez, D. and Sander, A. and Saz Parkinson, P. M. and Scargle, J. D. and Schalk, T. L. and Sgrò, C. and Siskind, E. J. and Smith, D. A. and Smith, P. D. and Spandre, G. and Spinelli, P. and Stamatikos, M. and Stecker, F. W. and Strickman, M. S. and Suson, D. J. and Tajima, H. and Takahashi, H. and Takahashi, T. and Tanaka, T. and Thayer, J. B. and Thayer, J. G. and Thompson, D. J. and Tibaldo, L. and Toma, K. and Torres, D. F. and Tosti, G. and Troja, E. and Uchiyama, Y. and Uehara, T. and Usher, T. L. and van der Horst, A. J. and Vasileiou, V. and Vilchez, N. and Vitale, V. and von Kienlin, A. and Waite, A. P. and Wang, P. and Wilson-Hodge, C. and Winer, B. L. and Wood, K. S. and Wu, X. F. and Yamazaki, R. and Ylinen, T. and Ziegler, M.},
abstractNote = {A cornerstone of Einstein's special relativity is Lorentz invariance—the postulate that all observers measure exactly the same speed of light in vacuum, independent of photon-energy. While special relativity assumes that there is no fundamental length-scale associated with such invariance, there is a fundamental scale (the Planck scale, lPlanck ≈ 1.62 x 10-33 cm or EPlanck = MPlanckc2 ≈ 1.22 x 1019 GeV), at which quantum effects are expected to strongly affect the nature of space–time. There is great interest in the (not yet validated) idea that Lorentz invariance might break near the Planck scale. A key test of such violation of Lorentz invariance is a possible variation of photon speed with energy. Even a tiny variation in photon speed, when accumulated over cosmological light-travel times, may be revealed by observing sharp features in γ-ray burst (GRB) light-curves. In this paper, we report the detection of emission up to ~31 GeV from the distant and short GRB 090510. We find no evidence for the violation of Lorentz invariance, and place a lower limit of 1.2EPlanck on the scale of a linear energy dependence (or an inverse wavelength dependence), subject to reasonable assumptions about the emission (equivalently we have an upper limit of lPlanck/1.2 on the length scale of the effect). Finally, our results disfavour quantum-gravity theories in which the quantum nature of space–time on a very small scale linearly alters the speed of light.},
doi = {10.1038/nature08574},
journal = {Nature (London)},
number = 7271,
volume = 462,
place = {United States},
year = {Wed Oct 28 00:00:00 EDT 2009},
month = {Wed Oct 28 00:00:00 EDT 2009}
}
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    journal, January 2019

    • Ursi, Alessandro; Tavani, Marco; Verrecchia, Francesco
    • Rendiconti Lincei. Scienze Fisiche e Naturali, Vol. 30, Issue S1
    • DOI: 10.1007/s12210-019-00761-4

    Ten years of AGILE: the mission and scientific highlights
    journal, September 2019

    Probing Planck-scale physics with quantum optics
    journal, March 2012

    • Pikovski, Igor; Vanner, Michael R.; Aspelmeyer, Markus
    • Nature Physics, Vol. 8, Issue 5
    • DOI: 10.1038/nphys2262

    Lorentz violation from gamma-ray burst neutrinos
    journal, October 2018

    The late-time afterglow of the extremely energetic short burst GRB 090510 revisited
    journal, February 2012

    Monster in the Dark: the Ultraluminous grb 080607 and its Dusty Environment
    journal, December 2010

    Panchromatic Observations of the Textbook grb 110205a: Constraining Physical Mechanisms of Prompt Emission and Afterglow
    journal, May 2012

    Gamma-Ray Burst Spectrum with Decaying Magnetic Field
    journal, December 2013

    Neutrino and Cosmic-Ray Release from Gamma-Ray Bursts: Time-Dependent Simulations
    journal, March 2014

    FERMI LARGE AREA TELESCOPE FIRST SOURCE CATALOG
    journal, May 2010

    • Abdo, A. A.; Ackermann, M.; Ajello, M.
    • The Astrophysical Journal Supplement Series, Vol. 188, Issue 2
    • DOI: 10.1088/0067-0049/188/2/405

    EVIDENCE FOR NEW RELATIONS BETWEEN GAMMA-RAY BURST PROMPT AND X-RAY AFTERGLOW EMISSION FROM 9 YEARS OF SWIFT
    journal, November 2013

    • Grupe, Dirk; Nousek, John A.; Veres, Péter
    • The Astrophysical Journal Supplement Series, Vol. 209, Issue 2
    • DOI: 10.1088/0067-0049/209/2/20

    Hořava–Lifshitz cosmology: a review
    journal, November 2010

    Relative-locality distant observers and the phenomenology of momentum-space geometry
    journal, March 2012

    • Amelino-Camelia, Giovanni; Arzano, Michele; Kowalski-Glikman, Jerzy
    • Classical and Quantum Gravity, Vol. 29, Issue 7
    • DOI: 10.1088/0264-9381/29/7/075007

    Black holes in loop quantum gravity
    journal, October 2017

    Strong gravitational lensing of explosive transients
    journal, November 2019

    Spectrum-energy Correlations in GRBs: Update, Reliability, and the Long/Short Dichotomy
    journal, March 2018

    • Zhang, Z. B.; Zhang, C. T.; Zhao, Y. X.
    • Publications of the Astronomical Society of the Pacific, Vol. 130, Issue 987
    • DOI: 10.1088/1538-3873/aaa6af

    Deformed dispersion relation constraint with hydrogen atom 1 S -2 S transition
    journal, January 2020

    Hořava-Lifshitz gravity: a status report
    journal, February 2011

    Prompt X-Ray and Optical Excess Emission due to Hadronic Cascades in Gamma-Ray Bursts
    journal, November 2010

    Gravitational-wave follow-up with CTA after the detection of GRBs in the TeV energy domain
    journal, October 2019

    • Bartos, I.; Corley, K. R.; Gupte, N.
    • Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 3
    • DOI: 10.1093/mnras/stz2848

    Modifications to Lorentz invariant dispersion in relatively boosted frames
    journal, October 2010

    Different realizations of κ -momentum space
    journal, June 2013

    Dispersive light propagation at cosmological distances: Matter effects
    journal, September 2013

    Constraints on mass dimension one fermionic dark matter from the Yukawa interaction
    journal, September 2016

    Bounds on the polymer scale from gamma ray bursts
    journal, November 2017

    GeV emission from gamma-ray bursts: a radiative fireball?: GRBs observed by Fermi-LAT
    journal, February 2010

    Implications of electron acceleration for high-energy radiation from gamma-ray bursts: Acceleration for GRB high-energy radiation
    journal, December 2010

    Gamma-ray bursts in the comoving frame: Gamma-ray bursts in the comoving frame
    journal, December 2011

    Prospects for detecting gamma-ray bursts at very high energies with the Cherenkov Telescope Array: GRB detection rate with CTA
    journal, July 2012

    Lorentz violations in multifractal spacetimes
    journal, May 2017

    Graviton propagation within the context of the D-material universe
    journal, July 2017

    The quantum vacuum as the origin of the speed of light
    journal, March 2013

    • Urban, Marcel; Couchot, François; Sarazin, Xavier
    • The European Physical Journal D, Vol. 67, Issue 3
    • DOI: 10.1140/epjd/e2013-30578-7

    Universal Entropy Bound and Discrete Spacetime
    journal, September 2011

    Hořava gravity at a Lifshitz point: A progress report
    journal, February 2017

    Mixing coproducts for theories with particle-dependent relativistic properties
    journal, January 2020

    • Amelino-Camelia, Giovanni; Palmisano, Michelangelo; Ronco, Michele
    • International Journal of Modern Physics D, Vol. 29, Issue 02
    • DOI: 10.1142/s0218271820500170

    Physics of Gamma-Ray Bursts Prompt Emission
    journal, January 2015

    Quantum-Spacetime Phenomenology
    journal, June 2013

    • Amelino-Camelia, Giovanni
    • Living Reviews in Relativity, Vol. 16, Issue 1
    • DOI: 10.12942/lrr-2013-5

    Spacetime and Deformations of Special Relativistic Kinematics
    journal, November 2019

    • Carmona, José Manuel; Cortés, José Luis; Relancio, José Javier
    • Symmetry, Vol. 11, Issue 11
    • DOI: 10.3390/sym11111401

    A New AGILE MCAL Configuration to Detect Gamma-Ray Bursts and Sub-threshold Events in the Multimessenger Era
    journal, January 2019

    • Ursi, Alessandro; Tavani, Marco; Verrecchia, Francesco
    • The Astrophysical Journal, Vol. 871, Issue 1
    • DOI: 10.3847/1538-4357/aaf28f

    Multiple Components in the Broadband γ -Ray Emission of the Short GRB 160709A
    journal, May 2019

    • Tak, Donggeun; Guiriec, Sylvain; Uhm, Z. Lucas
    • The Astrophysical Journal, Vol. 876, Issue 1
    • DOI: 10.3847/1538-4357/ab0e72

    Low-energy Spectra of Gamma-Ray Bursts from Cooling Electrons
    journal, January 2018

    • Geng, Jin-Jun; Huang, Yong-Feng; Wu, Xue-Feng
    • The Astrophysical Journal Supplement Series, Vol. 234, Issue 1
    • DOI: 10.3847/1538-4365/aa9e84

    Resonant shattering of neutron star crusts
    text, January 2011

    • Tsang, D.; Read, J. S.; Hinderer, T.
    • American Physical Society
    • DOI: 10.5167/uzh-55338

    Hamilton geometry: Phase space geometry from modified dispersion relations
    other, January 2015

    • Barcaroli, Leonardo; Brunkhorst, Lukas K.; Gubitosi, Giulia
    • College Park, MD : American Physical Society
    • DOI: 10.15488/2068

    Horava-Lifshitz Cosmology: A Review
    text, January 2010

    Monster in the Dark: The Ultraluminous GRB 080607 and its Dusty Environment
    text, January 2010

    Precursors of short gamma-ray bursts
    text, January 2010

    Universal entropy bound and discrete space-time
    text, January 2011

    Relative-locality distant observers and the phenomenology of momentum-space geometry
    text, January 2011

    Resonant Shattering of Neutron Star Crusts
    text, January 2011

    Probing Planck-scale physics with quantum optics
    text, January 2011

    The quantum vacuum as the origin of the speed of light
    text, January 2013

    Gamma-Ray Burst Spectrum with Decaying Magnetic Field
    text, January 2013

    Physics of Gamma-Ray Bursts Prompt Emission
    text, January 2015

    Hamilton geometry: Phase space geometry from modified dispersion relations
    text, January 2015

    Lorentz violations in multifractal spacetimes
    text, January 2016

    A New Test of Lorentz Invariance Violation: the Spectral Lag Transition of GRB 160625B
    text, January 2016

    Black Holes in Loop Quantum Gravity
    text, January 2017

    Low-energy Spectra of Gamma-ray Bursts from Cooling Electrons
    text, January 2017

    Lorentz violation from gamma-ray burst neutrinos
    text, January 2018

    Spacetime and deformations of special relativistic kinematics
    text, January 2019

    Quantum Spacetime Phenomenology
    text, January 2008

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