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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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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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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