Reaction thresholds in doubly special relativity
Open accessAbstract
Two theories of special relativity with an additional invariant scale, ``doubly special relativity,'' are tested with calculations of particle process kinematics. Using the Judes-Visser modified conservation laws, thresholds are studied in both theories. In contrast with some linear approximations, which allow for particle processes forbidden in special relativity, both the Amelino-Camelia and Magueijo-Smolin frameworks allow no additional processes. To first order, the Amelino-Camelia framework thresholds are lowered and the Magueijo-Smolin framework thresholds may be raised or lowered.
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In DSR, all reactions forbidden by conservation in ordinary Lorentz invariant physics are also forbidden, despite dispersion relations allowing new reactions.
“This is the situation in DSR: All reactions that are forbidden by conservation in ordinary Lorentz invariant physics are also forbidden in DSR [146], even though particle dispersion relations in DSR would naively allow new reactions.”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [146]
If a reaction does not occur in ordinary Lorentz invariant physics, it does not occur in DSR.
“By using the pseudo-momentum π and and energy ϵ one can show that if a reaction does not occur in ordinary Lorentz invariant physics, it does not occur in DSR [146].”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [146]
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Cites
End to the Cosmic-Ray Spectrum?
Greisen, K. I. (1966) · Physical Review Letters · doi:10.1103/physrevlett.16.748 · Cited by 2,981 · see citing works
QUANTUM GRAVITY AND MINIMUM LENGTH
GARAY, L. J. (1995) · International Journal of Modern Physics A · doi:10.1142/s0217751x95000085 · Cited by 1,371 · see citing works
Lorentz Invariance with an Invariant Energy Scale
Magueijo, J., & Smolin, L. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.190403 · Cited by 1,226 · see citing works
AMELINO-CAMELIA, G. (2002) · International Journal of Modern Physics D · doi:10.1142/s0218271802001330 · Cited by 1,186 · see citing works
The Theory of Space, Time and Gravitation
Fock, V., Kemmer, N., & Anderson, J. L. (1964) · Physics Today · doi:10.1063/1.3051237 · Cited by 921 · see citing works
Testable scenario for relativity with minimum length
Giovanni Amelino-camelia, A. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)00506-8 · Cited by 803 · see citing works
The Theory of Space, Time and Gravitation
Fock, V., & Davidon, W. C. (1965) · American Journal of Physics · doi:10.1119/1.1971426 · Cited by 708 · see citing works
Generalized Lorentz invariance with an invariant energy scale
Magueijo, J., & Smolin, L. (2003) · Physical Review D · doi:10.1103/physrevd.67.044017 · Cited by 691 · see citing works
Ultraviolet Modifications of Dispersion Relations in Effective Field Theory
Myers, R. C., & Pospelov, M. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.211601 · Cited by 499 · see citing works
Quantum Gravity Corrections to Neutrino Propagation
Alfaro, J., Morales-Técotl, H. A., & Urrutia, L. F. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2318 · Cited by 497 · see citing works
Giovanni Amelino-camelia, A. (2002) · Nature · doi:10.1038/418034a · Cited by 452 · see citing works
Loop quantum gravity and light propagation
Alfaro, J., Morales-Técotl, H. A., & Urrutia, L. F. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.103509 · Cited by 337 · see citing works
DOUBLY-SPECIAL RELATIVITY: FIRST RESULTS AND KEY OPEN PROBLEMS
Giovanni Amelino-camelia, A. (2002) · International Journal of Modern Physics D · doi:10.1142/s021827180200302x · Cited by 292 · see citing works
A strong astrophysical constraint on the violation of special relativity by quantum gravity
Jacobson, T., Liberati, S., & Mattingly, D. (2003) · Nature · doi:10.1038/nature01882 · Cited by 277 · see citing works
Doubly special relativity theories as different bases of κ-Poincaré algebra
Kowalski-Glikman, J., & Nowak, S. (2002) · Physics Letters B · doi:10.1016/s0370-2693(02)02063-4 · Cited by 266 · see citing works
Deformed boost transformations that saturate at the Planck scale
Bruno, N. R., Giovanni Amelino-camelia, A., & Kowalski-Glikman, J. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)01264-3 · Cited by 248 · see citing works
Jacobson, T., Liberati, S., & Mattingly, D. (2003) · Physical Review D · doi:10.1103/physrevd.67.124011 · Cited by 240 · see citing works
NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES
Kowalski-Glikman, J., & NOWAK, S. (2003) · International Journal of Modern Physics D · doi:10.1142/s0218271803003050 · Cited by 229 · see citing works
Doubly Special RelativityPreprint
Giovanni Amelino-camelia, A. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0207049 · Cited by 208 · see citing works
TeV astrophysics constraints on Planck scale Lorentz violation
Jacobson, T., Liberati, S., & Mattingly, D. (2002) · Physical Review D · doi:10.1103/physrevd.66.081302 · Cited by 204 · see citing works
Threshold analyses and Lorentz violation
Lehnert, R. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.68.085003 · Cited by 144 · see citing works
Nonlinear relativity in position space
Kimberly, D., Magueijo, J., & Medeiros, J. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.084007 · Cited by 115 · see citing works
Observational limits on quantum geometry effects
Konopka, T. J., & Major, S. A. (2002) · New Journal of Physics · doi:10.1088/1367-2630/4/1/357 · Cited by 112 · see citing works
Self-citationDOUBLY SPECIAL RELATIVITY VERSUS κ-DEFORMATION OF RELATIVISTIC KINEMATICS
Lukierski, J., & Nowicki, A. (2003) · International Journal of Modern Physics A · doi:10.1142/s0217751x03013600 · Cited by 110 · see citing works
Conservation laws in “doubly special relativity”
Judes, S., & Visser, M. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.68.045001 · Cited by 107 · see citing works
On the statistical significance of the GZK feature in the spectrum of ultra-high energy cosmic rays
De Marco, D., Blasi, P., & Olinto, A. V. (2003) · Astroparticle Physics · doi:10.1016/s0927-6505(03)00148-8 · Cited by 100 · see citing works
Has the GZK suppression been discovered?
Bahcall, J. N., & Waxman, E. (2003) · Physics Letters B · doi:10.1016/s0370-2693(03)00105-9 · Cited by 92 · see citing works
On the statistical significance of the GZK feature in the spectrum of ultra high energy cosmic rays
De Marco, D., Blasi, P., & Olinto, A. V. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 81 · see citing works
KINEMATICAL SOLUTION OF THE UHE-COSMIC-RAY PUZZLE WITHOUT A PREFERRED CLASS OF INERTIAL OBSERVERS
Giovanni Amelino-camelia, A. (2003) · International Journal of Modern Physics D · doi:10.1142/s0218271803003645 · Cited by 39 · see citing works
CLASSICAL VELOCITY IN κ-DEFORMED POINCARÉ ALGEBRA AND A MAXIMUM ACCELERATION
Rama, S. K. (2003) · Modern Physics Letters A · doi:10.1142/s0217732303009228 · Cited by 13 · see citing works
Classical Velocity in kappa-deformed Poincare Algebra and a Maximum AccelerationPreprint
Rama, S. K. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0209129 · Cited by 1 · see citing works
Flagged first, then by citations
Research works printed but not linked: 11
- [1][1] G. Amelino-Camelia Int. J. Mod. Phys. D 11 (2002) 35-60 gr-qc/0012051 , Phys. Lett. B 510 (2001) 255-263 hep-th/0012238 . - · arXiv
- [2][2] N. Bruno, G. Amelino-Camelia, and J. Kowalski-Glikman, Phys. Lett. B 522 (2001) 133 hep-th/0107039 . - · arXiv
- [5][5] G. Amelino-Camelia Int. J. Mod. Phys. D 12 (2003) 1211 astro-ph/0209232 . - · arXiv
- [9][9] J. Lukierski and A. Nowicki, Bull. Soc. Sci. Lett. Lodz 53 (2003) 57 hep-th/0203065 . - · arXiv
- [10][10] J. Kowalski-Glikman and S. Nowak, Phys .Lett. B 539 (2002) 126 hep-th/0203040 . - · arXiv
- [11][11] J. Kowalski-Glikman and S. Nowak, Int. J. Mod. Phys. D 12 (2003) 299 hep-th/0204245 . - · arXiv
- [13][13] J. Alfaro, H. Morales-Tecotl, Luis F. Urrutia Phys. Rev. Lett. 84 (2000) 2318 grqc/9909079 ; Phys. Rev. D 65 (2002) 103509 hep-th/0108061 . - · arXiv
- [18][18] T. Jacobson, S. Liberati, D. Mattingly Nature 424 (2003) 1019 astro-ph/0212190 . - · arXiv
- [19][19] T. Jacobson, S. Liberati, D. Mattingly, Stecker New limits on Planck scale Lorentz violation in QED astro-ph/0309681 . - · arXiv
- [23][23] R. Sch¨ utzhold and W. Unruh gr-qc/0308049 . - · arXiv
- [26][26] J. Bahcall and E. Waxman Phys. Lett. B 556 (2003) 1 hep-ph/0206217 . - · arXiv
Cited by
Sorted by citations
Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061 · see citing works
- Authors
- Heyman, D., Major, S., & Hinteleitner, F.
- Affiliations
- Hamilton College (US)
- ORCID
- Major, Seth
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2004-05-21
- Volume
- 69
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2047055415
- Cited by
- 40
- References
- 31
- Citations by year
- 2023: 1 · 2022: 1 · 2021: 2 · 2016: 1 · 2015: 2 · 2014: 1 · 2013: 1 · 2012: 8
- FWCI
- 3.18
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- doubly special relativity, response threshold, modified dispersion relations
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