Non-universal relativistic kinematics
arXiv:1412.6449 · doi:10.1103/PhysRevD.91.085036
Abstract
We present a systematic derivation of the constraints that the relativity principle imposes between coefficients of a deformed (but rotational invariant) momentum composition law, dispersion relation, and momentum transformation laws, at first order in a power expansion of an ultraviolet energy scale. This work generalizes previous results to the case of particle-dependent relativistic kinematics, which can have interesting phenomenological applications that we explore in the second part of the manuscript.
13 pages, no figures
References in corpus (27)
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Analogue Gravity
- Modern tests of Lorentz invariance
- Noncommutative Field Theory and Lorentz Violation
- Nonstandard optics from quantum spacetime
- Testable scenario for Relativity with minimum-length
- Minimal Length Scale Scenarios for Quantum Gravity
- Generalized Lorentz invariance with an invariant energy scale
- Probing Planck-scale physics with quantum optics
- Gravity's Rainbow
- Classical and Quantum Mechanics of Free \k Relativistic Systems
- Doubly Special Relativity
- The principle of relative locality
- Loop-Generated Bounds on Changes to the Graviton Dispersion Relation
- Conservation Laws in Doubly Special Relativity
- Waves on Noncommutative Spacetime and Gamma-Ray Bursts
- Quantum Gravity and Lorentz invariance violation in the Standard Model
- Relative-locality distant observers and the phenomenology of momentum-space geometry
- Testing Dispersion Relations of Quantum -Poincaré Algebra on Cosmological Ground
- On the fate of Lorentz symmetry in relative-locality momentum spaces
- Is a tabletop search for Planck scale signals feasible?
- Relativistic kinematics beyond Special Relativity
- On reaction thresholds in doubly special relativity
- About Locality and the Relativity Principle Beyond Special Relativity
- Status of Relativity with observer-independent length and velocity scales
- Asymptotic approach to Special Relativity compatible with a relativistic principle
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- Relativistic deformed kinematics: from flat to curved spacetimes
- Modified energy-momentum conservation laws and vacuum Cherenkov radiation
- Cosmic Neutrinos as a Window to Departures from Special Relativity