2002/05/31 by Simon Judes, Matt Visser · 105 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Conservation law #Conservation of energy #Cosmology and Gravitation Theories #Economics #Energy–momentum relation #Epistemology #Four-force #General relativity #Group (periodic table) #Law #Lorentz covariance #Lorentz transformation #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #One-way speed of light #Philosophy #Physics #Planck #Political science #Principle of relativity #Quantum mechanics #Simple (philosophy) #Special relativity #Theoretical physics #Theory of relativity #astro-ph #gr-qc #hep-ph
paper · pdf · doi:10.1103/physrevd.68.045001
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(4) (American Physical Society) · V2: Extensive revisions: merged with gr-qc/0205093, new author added, references added, discussion amplified. 4 pages, revtex4; V3: Revised in response to referee comments; no physics changes; version to appear in Physical Review D
arxiv created 2003/05/16 · openalex publication_date 2003/08/04 · arxiv updated 2011/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by various theoretical arguments that the Planck energy (EPlanck\ensuremath∼1019GeV) should herald departures from Lorentz invariance, and the possibility of testing these expectations in the not too distant future, two so-called ``doubly special relativity'' theories have been suggested---the first by Amelino-Camelia (DSR1) and the second by Smolin and Magueijo (DSR2). These theories contain two fundamental scales---the speed of light and an energy usually taken to be EPlanck. The symmetry group is still the Lorentz group, but in both cases acting nonlinearly on the energy-momentum sector. Since energy and momentum are no longer additive quantities, finding their values for composite systems (and hence finding appropriate conservation laws) is a nontrivial matter. Ultimately it is these possible deviations from simple linearly realized relativistic kinematics that provide the most promising observational signal for empirically testing these models. Various investigations have narrowed the conservation laws down to two possibilities per DSR theory. We derive unique exact results for the energy momentum of composite systems in both DSR1 and DSR2, and indicate the general strategy for arbitrary nonlinear realizations of the Lorentz group.