Generalized Uncertainty Principle and Self-dual Black Holes

Abstract

The Generalized Uncertainty Principle suggests corrections to the Uncertainty Principle as the energy increases towards the Planck value. It provides a natural transition between the expressions for the Compton wavelength below the Planck mass and the black hole event horizon size above this mass. It also suggests corrections to the the event horizon size as the black hole mass falls towards the Planck value, leading to the concept of a Generalized Event Horizon. Extrapolating below the Planck mass suggests the existence of a new class of black holes, whose size is of order the Compton wavelength for their mass. Such sub-Planckian black holes have recently been discovered in the context of loop quantum gravity and it is possible that this applies more generally. This suggests an intriguing connection between black holes, the Uncertainty Principle and quantum gravity.

13 Pages, 6 figures

Cited by in corpus (19)

• Minimal Length Scale Scenarios for Quantum Gravity
• 30 years in: Quo vadis generalized uncertainty principle?
• Hawking emission from quantum gravity black holes
• Self-completeness and spontaneous dimensional reduction
• Minimum length effects in black hole physics
• Primordial Power Spectra of Cosmological Fluctuations with Generalized Uncertainty Principle and Maximum Length Quantum Mechanics
• The Generalized Uncertainty Principle and Higher Dimensions: Linking Black Holes and Elementary Particles
• Quantum Corrected Polymer Black Hole Thermodynamics: Mass Relations and Logarithmic Entropy Correction
• Foundations of Classical Electrodynamics, Equivalence Principle and Cosmic Interactions: A Short Exposition and an Update
• Is there a connection between "dark" and "light" physics?
• Which quantum theory must be reconciled with gravity? (And what does it mean for black holes?)
• A new length scale, and modified Einstein-Cartan-Dirac equations for a point mass
• Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
• Relations between the baryon quantum numbers of the Standard Model and of the rotating neutrino model
• On the holographic basis of Quantum Cosmology
• Dimensionally-dependent uncertainty relations, or why we (probably) won't see micro-black holes at the LHC, even if large extra dimensions exist
• Self-Completeness in Alternative Theories of Gravity
• Generalized uncertainty principle for a Dirac fermion in a torsion field
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength