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Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
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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.
Forward citations
Cited by 11 Pith papers
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Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT
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.
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Tidal Deformation Bounds and Perturbation Transfer in Bounded Curvature Spacetimes
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.
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Bounded compactness from G(E)UP
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.
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Natural modification of quantum uncertainty, modified gravity, and cosmology
Using FLRW cosmology to connect generalized uncertainty principle modifications to modified gravity shows that only Born-Infeld models remain natural in both settings.
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Classical Polymerization of the Bianchi I Model with Deformed Poisson Structure
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.
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Quasi-normal modes in non-perturbative quantum gravity
Complex radial-dependent masses motivated by background-induced states shift Schwarzschild black-hole quasinormal-mode frequencies and can produce unstable modes in an ad hoc toy model.
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UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
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.
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Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
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.
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Pseudo-Complex Gravity as a Geometric Resolution of the Black Hole Information Paradox
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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The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
A higher-order GUP is fitted to BBN abundances, but arithmetic errors invalidate the reported parameter bounds.
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Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
The authors derive a black hole metric with a cosmological-constant-dependent effective mass and use EHT and VLBI data to put extremely weak bounds on a quantum parameter beta.
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