The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Principle of relative locality
Open accessAbstract
We propose a deepening of the relativity principle according to which the invariant arena for nonquantum physics is a phase space rather than spacetime. Descriptions of particles propagating and interacting in spacetimes are constructed by observers, but different observers, separated from each other by translations, construct different spacetime projections from the invariant phase space. Nonetheless, all observers agree that interactions are local in the spacetime coordinates constructed by observers local to them. This framework, in which absolute locality is replaced by relative locality, results from deforming energy-momentum space, just as the passage from absolute to relative simultaneity results from deforming the linear addition of velocities. Different aspects of energy-momentum space geometry, such as its curvature, torsion and nonmetricity, are reflected in different kinds of deformations of the energy-momentum conservation laws. These are in principle all measurable by appropriate experiments. We also discuss a natural set of physical hypotheses which singles out the cases of energy-momentum space with a metric compatible connection and constant curvature.
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Cites
Zur Elektrodynamik bewegter Körper
Einstein, A. (1905) · Annalen der Physik · doi:10.1002/andp.19053221004 · Cited by 4,385
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562
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
Self-citationAMELINO-CAMELIA, G. (2002) · International Journal of Modern Physics D · doi:10.1142/s0218271802001330 · Cited by 1,186
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
Self-citationGroup Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378
Self-citation3D Quantum Gravity and Effective Noncommutative Quantum Field Theory
Freidel, L., & Livine, E. R. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.221301 · Cited by 298
Self-citationPonzano–Regge model revisited: III. Feynman diagrams and effective field theory
Freidel, L., & Livine, E. R. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/6/012 · Cited by 266
Self-citationQuantum symmetry, the cosmological constant and Planck-scale phenomenology
Amelino-Camelia, G., Smolin, L., & Starodubtsev, A. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/13/002 · Cited by 228
Self-citation2+1 gravity and doubly special relativity
Freidel, L., Kowalski-Glikman, J., & Smolin, L. (2004) · Physical Review D · doi:10.1103/physrevd.69.044001 · Cited by 150
Self-citationQuantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity
Bais, F. A., Muller, N. M., & Schroers, B. J. (2002) · Nuclear Physics B · doi:10.1016/s0550-3213(02)00572-2 · Cited by 72
Topological field theory and the quantum double of SU(2)
Bais, F. A., & Muller, N. M. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00572-0 · Cited by 57
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Minimal Length Scale Scenarios for Quantum Gravity
Hossenfelder, S. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-2 · Cited by 706
The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677
Probing Planck-scale physics with quantum optics
Pikovski, I., Vanner, M. R., Aspelmeyer, M., Kim, M. S., & Brukner, Č. (2012) · Nature Physics · doi:10.1038/nphys2262 · Cited by 594
Special relativity in a discrete quantum universe
Bisio, A., D'Ariano, G. M., & Perinotti, P. (2016) · Physical Review A · doi:10.1103/physreva.94.042120 · Cited by 25
Metadata
- Authors
- Amelino-Camelia, G., Freidel, L., Kowalski-Glikman, J., & Smolin, L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2011-10-05
- Volume
- 84
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2111138808
- Cited by
- 385
- References
- 12
- FWCI
- 27.13
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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