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QUANTUM GRAVITY AND MINIMUM LENGTH
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The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theory lead to this result. The key ingredients for the appearance of this minimum length are quantum mechanics, special relativity and general relativity. As a consequence, classical notions such as causality or distance between events cannot be expected to be applicable at this scale. They must be replaced by some other, yet unknown, structure.
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“A Planck-scale minimal observable length appears in many approaches to quantum gravity.”
From Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction (2003) · cites this paper as [1]
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Citations
Cites
The quantum theory of radiation
Heitler, W. (1936) · doi:10.2307/3607790 · Cited by 2,880
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
On the quantum structure of a black hole
't Hooft, G. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90418-3 · Cited by 1,311
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 1,151
String Theory Beyond the Planck Scale
Gross, D., & Mende, P. F. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90390-2 · Cited by 1,150 · cited 1×
“This may be one of the reasons for the exponential damping that high-energy fixed-angle scattering amplitudes suffer [ 38 ,39], and for the slower growth of thermal partition functions at high temperature [40].”
BackgroundA generalized uncertainty principle in quantum gravity
Maggiore, M. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)91401-8 · Cited by 1,147 · cited 1×
“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.”
BackgroundThe stretched horizon and black hole complementarity
Susskind, L., Thorlacius, L., & Uglum, J. (1993) · Physical Review D · doi:10.1103/physrevd.48.3743 · Cited by 1,081
Superstrings in the Early Universe
Brandenberger, R., & Vafa, C. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90037-0 · Cited by 835
Loop space representation of quantum general relativity
Rovelli, C., & Smolin, L. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90019-a · Cited by 806
Kassel, C. (1994) · doi:10.1007/978-1-4612-0783-2 · Cited by 780
Research works printed but not linked: 10
- [2][2] V. B. Berestetskiˇ ı, E. M. Lifshitz and L. P. Pitaevskiˇ ı, Relativistic Quantum Theory (Pergamon, Oxford, 1971). -
- [6][6] M. A. Markov, Preprint P-0187 of the Inst. Nucl. Res., Moscow (1980). On quantum violation of topology in small spatial regions. -
- [7][7] M. A. Markov, Preprint P-0208 of the Inst. Nucl. Res., Moscow (1981). On the maximon and the concept of elementary particle. -
- [44][44] L. Smolin, in Quantum Gravity and Cosmology , eds. J. P´ erez-Mercader et al. (World Scientific, Singapore, 1992). Recent developments in nonperturbative quantum gravity. -
- [65][65] N. Bohr and L. Rosenfeld, Det. Kgl. Danske Videnskabernes Selskab., Math.-fys. Medd. 12 , 8 (1933); in Selected Papers of L` eon Rosenfeld , eds. Cohen and Stachel (Reidel, Dordrecht, 1979); in Quantum Theory and Measurement , eds. J. A. Wheeler and W. H. Zurek (Princeton University Press, Princeton, 1983). On the question of measurability of electromagnetic field quantities. -
- [71][71] B. S. DeWitt, in Gravitation: An Introduction to Current Research , ed. L. Witten (Wiley, New York, 1962). The quantization of gravity. -
- [75][75] L. Landau and R. Peierls, Z. Phys. 69 , 56 (1931); in Collected Papers of Landau , ed. D. ter Haar (Gordon and Breach, New York, 1965); in Quantum Theory and Measurement , eds. J. A. Wheeler and W. H. Zurek (Princeton University Press, Princeton, 1983). Extension of the uncertainty principle to the relativistic quantum theory. -
- [87][87] J. J. Halliwell, in Quantum Cosmology and Baby Universes , eds. S. Coleman et al. (World Scientific, Singapore, 1990). Introductory lectures on quantum cosmology. -
- [89][89] J. A. Wheeler, Geometrodynamics (Ac. Press, London, 1962). -
- [94][94] A. Strominger, in Particles, Strings and Supernovae , eds. A. Jevicki and C. I. Tan (World Scientific, Singapore, 1989). Baby universes. -
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“[51] L.”
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Hawking radiation under generalized uncertainty principle
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Sadeghi, J., Gashti, S. N., Alipour, M. R., et al. (2024) · International Journal of Theoretical Physics · doi:10.1007/s10773-024-05803-8 · Cited by 14
Ali, R., Tiecheng, X., & Babar, R. (2025) · Physics of the Dark Universe · doi:10.1016/j.dark.2025.101868 · Cited by 17
Shalyt-Margolin, A. (2005) · International Journal of Modern Physics A · doi:10.1142/s0217751x05022895 · Cited by 14
Metadata
- Authors
- GARAY, L. J.
- Affiliations
- Imperial College London (GB)
- Corresponding author
- GARAY, LUIS J.
- Venue
- International Journal of Modern Physics A
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 1995-01-20
- Volume
- 10
- Issue
- 02
- Pages
- 145-165
- ISSN
- 0217-751X (ISSN-L)
- 1793-656X
- OpenAlex
- W2170399496
- Cited by
- 1,371
- References
- 99
- Citations by year
- 2026: 45 · 2025: 66 · 2024: 57 · 2023: 69 · 2022: 68 · 2021: 81 · 2020: 61 · 2019: 63 · 2018: 46 · 2017: 62 · 2016: 90 · 2015: 66 · 2014: 64 · 2013: 66 · 2012: 55
- FWCI
- 11.29
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- International Journal of Modern Physics A (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- quantum gravity, minimal length, fundamental length scale, position measurement, quantum mechanics, special relativity, general relativity, causality, discrete spacetime
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