The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Quantum groups, gravity, and the generalized uncertainty principle
Open accessAbstract
We investigate the relationship between the generalized uncertainty principle in quantum gravity and the quantum deformation of the Poincar\'e algebra. We find that a deformed Newton-Wigner position operator and the generators of spatial translations and rotations of the deformed Poincar\'e algebra obey a deformed Heisenberg algebra from which the generalized uncertainty principle follows. The result indicates that in the $\ensuremath{\kappa}$-deformed Poincar\'e algebra a minimal observable length emerges naturally.
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Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
Action integrals and partition functions in quantum gravity
Gibbons, G. W., & Hawking, S. W. (1977) · Physical Review D · doi:10.1103/physrevd.15.2752 · Cited by 3,449
General Relativity – An Einstein Centenary Survey
Irvine, J. M. (1980) · Physics Bulletin · doi:10.1088/0031-9112/31/4/029 · Cited by 2,620
Aq-difference analogue of U(g) and the Yang-Baxter equation
Jimbo, M. (1985) · Letters in Mathematical Physics · doi:10.1007/bf00704588 · Cited by 2,600
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A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation
Jimbo, M. (1986) · Letters in Mathematical Physics · doi:10.1007/bf00400222 · Cited by 1,437
Theory of Group Representations and Applications
Barut, A., & Raczka, R. (1986) · WORLD SCIENTIFIC eBooks · doi:10.1142/0352 · Cited by 1,426
Localized States for Elementary Systems
Newton, T. D., & Wigner, E. P. (1949) · Reviews of Modern Physics · doi:10.1103/revmodphys.21.400 · Cited by 1,394
Can spacetime be probed below the string size?
Amati, D., Ciafaloni, M., & Veneziano, G. (1989) · Physics Letters B · doi:10.1016/0370-2693(89)91366-x · Cited by 1,394
Cited by
QUANTUM GRAVITY AND MINIMUM LENGTH
GARAY, L. J. (1995) · International Journal of Modern Physics A · doi:10.1142/s0217751x95000085 · Cited by 1,371
Medved, A. J. M., & Vagenas, E. C. (2004) · Physical Review D · doi:10.1103/physrevd.70.124021 · Cited by 329
Metadata
- Authors
- Maggiore, M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1994-05-15
- Volume
- 49
- Issue
- 10
- Pages
- 5182-5187
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2105843769
- Cited by
- 507
- References
- 32
- FWCI
- 2.32
- Type
- journal article
- Language
- en
- Open access
- green
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