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Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
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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 9 Pith papers
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Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT
Hawking radiation of a large black hole terminates near the scrambling time under SFT-style nonlocal smearing, producing a macroscopic remnant instead of complete evaporation.
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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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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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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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Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
GUP with minimal length and maximal momentum applied to Schwarzschild black holes yields finite discrete mass spectrum, maximum mass, and constrains the GUP parameter to β ≲ 10^{-98} from astrophysical data.
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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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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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Chaos and epoch structure in the deformed Mixmaster universe
GUP deformation shortens Kasner epochs in the Mixmaster universe while polymerization lengthens them, with combined effects adding linearly and chaos strength depending on the deformation parameters.
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Uncertainty Principles and Maximum Entropic Force
Quantum gravity corrections via GUP, EUP, GEUP and LQGUP make the maximum entropic force depend on the uncertainty principles' dimensionless parameters and, for EUP, on the number of Planck areas composing the effective area.
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