The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
A generalized uncertainty principle in quantum gravity
Open accessAbstract
We discuss a Gedanken experiment for the measurement of the area of the apparent horizon of a black hole in quantum gravity. Using rather general and model-independent considerations we find a generalized uncertainty principle which agrees with a similar result obtained in the framework of string theories. The result indicates that a minimum length of the order of the Planck length emerges naturally from any quantum theory of gravity, and that the concept of black hole is not operationally defined if the mass is smaller than the Planck mass.
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Citations
Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
The Large Scale Structure of Space-Time
Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
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
“Quite recently, Maggiore [ 53 ] has found that an uncertainty relation that gives rise to a minimum length can also be derived from the measurement of the radius of a black hole.”
BackgroundProbing 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
Quantum groups, gravity, and the generalized uncertainty principle
Maggiore, M. (1994) · Physical Review D · doi:10.1103/physrevd.49.5182 · Cited by 507
Self-citationON GRAVITY AND THE UNCERTAINTY PRINCIPLE
ADLER, R. J., & SANTIAGO, D. I. (1999) · Modern Physics Letters A · doi:10.1142/s0217732399001462 · Cited by 468
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
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1993-04
- Volume
- 304
- Issue
- 1-2
- Pages
- 65-69
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2032174421
- Cited by
- 1,105
- References
- 2
- FWCI
- 3.67
- 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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.