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Quantum gravity and minimum length

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arxiv gr-qc/9403008 v2 pith:RU2Y77UW submitted 1994-03-02 gr-qc hep-th

Luis J. Garay This is my paper · ORCID
classification gr-qchep-th
keywords quantumgravitylengthminimumrelativityscaleappearanceapplicable
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 13 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Squeezed Gravitons and One-Loop Self-Energy under Light-Cone Smearing

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  2. Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    In a smeared massless scalar on dynamical black hole, outgoing particle number drops to zero after scrambling time due to SFT nonlocality, implying macroscopic remnant.

  3. Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces

    math-ph 2019-09 conditional novelty 6.0 of 10

    Coreductivity and cosymmetry of a Lie bialgebra are defined and shown to characterize when the complementary dual homogeneous space is reductive or symmetric, with applications to κ-deformed Lorentzian spacetimes.

  4. Logarithmic corrections to black hole entropy from minimum-assumptions discretization

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Indistinguishable Planck-scale horizon cells with area-proportional phase space give S = A/4ℓp² − (1/2) ln(A/ℓp²) after fitting one cutoff constant.

  5. Late-Time Cosmological Tests of a Minisuperspace Generalized-Uncertainty-Principle Deformation

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Fitting a GUP-deformed Friedmann equation to CC+Pantheon++DESI DR2 data gives β* = −0.086 with a 95% interval including zero; the negative preference vanishes under stricter perturbative cuts.

  6. Probing the existence of a minimal length through compact binary inspiral

    gr-qc 2025-05 conditional novelty 5.0 of 10

    A minimum length in spacetime would make black holes perfectly reflective below a cutoff frequency, imprinting the inspiral waveform via modified tidal heating.

  7. UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox

    hep-th 2024-11 unverdicted novelty 5.0 of 10

    Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.

  8. On Padmanabhan's duality invariance and the quantum of length

    hep-th 2026-06 unverdicted novelty 4.0 of 10

    O(ℓ²) corrections to Padmanabhan's duality-invariant propagator are realized by a free massive scalar field in Euclidean R^{D+2}.

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    A higher-order GUP is fitted to BBN abundances, but arithmetic errors invalidate the reported parameter bounds.

  11. Modified theories of gravity at different curvature scales

    gr-qc 2025-02 unverdicted novelty 3.0 of 10

    A review that classifies modified gravity theories by the GR principles they preserve or violate, and maps their tests onto a curvature-compactness plane.

  12. Deformed algebraic structure of angular momenta: GUP perspective

    gr-qc 2024-11 reject novelty 3.0 of 10

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  13. Rethinking quantum information in gravity and fields

    hep-th 2026-06 unverdicted novelty 2.0 of 10

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