Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency
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We analyze the kinematics of electron-positron production in a photon-photon interaction when one has a modification of the special relativistic kinematics as a power expansion in the inverse of a new high-energy scale. We derive the equation for the threshold energy of this reaction to first order in this expansion, including the effects due to a modification of the energy-momentum conservation equation. In contrast with the Lorentz invariance violation case, a scale of the order of a few TeV is found to be compatible with the observations of very high-energy cosmic gamma rays in the case of a modification compatible with the relativity principle.
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2005 ◽
Vol 20
(14)
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pp. 3139-3142
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2012 ◽
Vol 27
(19)
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pp. 1250104
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2015 ◽
Vol 30
(21)
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pp. 1550106
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