Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aps..apr.f2011m&link_type=abstract
American Physical Society, April Meeting, 2003, April 5-8, 2003 Philadelphia, Pennsylvania, MEETING ID: APR03, abstract #F2.011
Astronomy and Astrophysics
Astrophysics
Scientific paper
The structure of spacetime at the Planck scale may lead to the breakdown of Lorentz invariance, possibly manifesting as modifications to particle dispersion relations of order E/E_QG. Current observations of the synchrotron spectrum of the Crab nebula constrain E_QG for subluminal electron dispersion modifications to be greater than 4.5× 10^27 GeV, an astounding eight orders of magnitude larger than the Planck energy. Modified dispersion relations also allow new reactions, such as vacuum Cerenkov radiation of electrons and photon decay, to occur at energies far below the Planck scale. Combining the synchrotron constraint with constraints derived by demanding the absence of these reactions for high energy astrophysical particles constrain E_QG at or above the Planck scale for O(E/E_QG) for both subluminal and superluminal dispersion modifications to the electron and photon. These constraints are compared with previous constraints derived from high energy photon annihilation off of the infrared background and the time of flight of high energy gamma rays.
Jacobson Theodore
Liberati Stefano
Mattingly David
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