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QUANTUM GRAVITY AND MINIMUM LENGTH
Open accessAbstract
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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“However, given the rather general grounds on which GUP is expected to hold [2], corrections of this form are worth considering.”
BackgroundQuantum gravity corrections and entropy at the Planck time
Basilakos, S., Das, S., & Vagenas, E. C. (2016) · Open ULeth Scholarship (OPUS) (University of Lethbridge) · Cited by 20
Lievens, S. F., Stoilova, N. I., & Jeugt, J. V. D. (2008) · Journal of Mathematical Physics · doi:10.1063/1.2948894 · Cited by 20
COHERENT STATES IN GRAVITATIONAL QUANTUM MECHANICS
Pedram, P. (2013) · International Journal of Modern Physics D · doi:10.1142/s0218271813500041 · Cited by 20
Pure States, Mixed States and Hawking Problem in Generalized Quantum MechanicsPreprint
Shalyt-Margolin, A., & Problem, H. (2004) · Cited by 18
SINGULARITIES AND THE FINALE OF BLACK HOLE EVAPORATIONPreprint
Xiang, L., Ling, Y., & Shen, Y.-G. (2013) · Cited by 20
Constraints on the deformation scale of a geometry in the cotangent bundle
Relancio, J. J., & Liberati, S. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.102.104025 · Cited by 18
El‐Nabulsi, R. A. (2020) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-020-00717-w · Cited by 19
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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