Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency
J. M. Carmona, J. L. Cortés, Lucía Pereira, J. J. Relancio
Abstract
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.
Topics & Concepts
PhysicsMetric expansion of spacePhotonKinematicsLorentz transformationTheory of relativityScale invarianceEnergy–momentum relationFour-momentumRelativistic mechanicsLorentz covarianceClassical mechanicsLorentz factorQuantum electrodynamicsCosmologyQuantum mechanicsDark energyNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies