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Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment

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arxiv hep-th/9904025 v1 pith:KSV5Q2JR submitted 1999-04-05 hep-th gr-qc

Fabio Scardigli (ITP , University of Bern. Bern-CH) This is my paper · ORCID
classification hep-thgr-qc
keywords gedankengravityprinciplequantumexperimentgeneralizedmicro-blackuncertainty
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We review versions of the Generalized Uncertainty Principle (GUP) obtained in string theory and in gedanken experiments carried out in Quantum Gravity. We show how a GUP can be derived from a measure gedanken experiment involving micro-black holes at the Planck scale of spacetime. The model uses only Heisenberg principle and Schwarzschild radius and it is independent from particular versions of Quantum Gravity.

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Cited by 8 Pith papers

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

  1. 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.

  2. Tidal Deformation Bounds and Perturbation Transfer in Bounded Curvature Spacetimes

    gr-qc 2026-02 unverdicted novelty 6.0 of 10

    Bounded tidal fields imply a rigorous limit on accumulated geodesic deviation set by τ* = λ_max^{-1/2} and a critical wavenumber k* ~ τ*^{-1} for perturbation transfer with exponential suppression at high k.

  3. Bounded compactness from G(E)UP

    gr-qc 2025-07 conditional novelty 6.0 of 10

    The generalized uncertainty principle bounds the compactness of any object much heavier than the Planck mass by about 1/α, and the existence of black holes forces the GUP parameter to satisfy α ≲ 2.

  4. Natural modification of quantum uncertainty, modified gravity, and cosmology

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Using FLRW cosmology to connect generalized uncertainty principle modifications to modified gravity shows that only Born-Infeld models remain natural in both settings.

  5. Classical Polymerization of the Bianchi I Model with Deformed Poisson Structure

    gr-qc 2025-10 reject novelty 5.0 of 10

    An exponential Poisson-deformation in polymerized Bianchi I turns the volume collapse logarithmic and can bound the anisotropies — but the paper attaches its boundedness threshold to the wrong end of the evolution.

  6. 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.

  7. Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric

    gr-qc 2025-08 reject novelty 4.0 of 10

    With GUP-modified effective metrics and tuned cutoffs (or tuned GUP parameter), the brick-wall entropy is made to reproduce the Bekenstein-Hawking area law.

  8. Pseudo-Complex Gravity as a Geometric Resolution of the Black Hole Information Paradox

    gr-qc 2025-06 reject novelty 4.0 of 10

    Pseudo-complex gravity is applied to the black hole information paradox, but the central singularity-regularization claim fails for the paper's own metric.

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