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

Abstract

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.

to appear in Physics Letters B, probably in an issue of April 1999, 9 pages, 2 figures, file ps

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• Some Heuristic Semiclassical Derivations of the Planck Length, the Hawking Effect and the Unruh Effect

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• Quantum gravity, the cosmological constant, and parity transformation
• A novel mechanism for probing the Planck scale with wavepackets following general distributions
• Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
• Self-adjoint extensions for a $p^4$-corrected Hamiltonian of a particle on a finite interval
• Charged Massive Particle's Tunneling From Charged Non-Rotating Micro Black Hole
• Uncertainty Principles and Non-local Black Holes
• Remarks on the quasi-position representation in models of generalized uncertainty principle
• Natural Cutoffs effect on Charged Rotating TeV-Scale Black Hole Thermodynamics
• Towards a Quantum Erlangen Program
• From minimal-length quantum theory to modified gravity
• Spacetime discreteness via consistent microscopic measurement
• Classical Polymerization of the Bianchi I Model with Deformed Poisson Structure
• Aharonov-Bohm-Like Scattering in the Generalized Uncertainty Principle-corrected Quantum Mechanics
• Uncertainty Principles and Maximum Entropic Force
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• An algebraic approach to gravitational quantum mechanics
• GUP-corrected $\Lambda$CDM cosmology
• Thermodynamic properties of ideal Bose gas trapped in different external power-law potentials under generalized uncertainty principle*
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
• The Extended Uncertainty Principle from a Projector-Valued Measurement Perspective
• From MOND entropy to extended uncertainty principles: A unified framework
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength
• Revisiting the algebraic structure of the generalized uncertainty principle
• Thermodynamics of Einstein-Gauss-Bonnet Black Holes under the Generalized Uncertainty Principle
• GUP/BEB correspondence
• Lorentz and gauge invariance of quantum space
• Tidal Deformation Bounds and Perturbation Transfer in Bounded Curvature Spacetimes
• Quantum volume and length fluctuations in a midi-superspace model of Minkowski space
• Quantum-Corrected Entropy Bounds on Black Hole Merger Efficiency
• Horizon Quantum Mechanics of Generalized Uncertainty Principle Black Holes