The Generalized Uncertainty Principle and Black Hole Remnants

Abstract

In the current standard viewpoint small black holes are believed to emit radiation as black bodies at the Hawking temperature, at least until they reach Planck size, after which their fate is open to conjecture. A cogent argument against the existence of remnants is that, since no evident quantum number prevents it, black holes should radiate completely away to photons and other ordinary stable particles and vacuum, like any unstable quantum system. Here we argue the contrary, that the generalized uncertainty principle may prevent their total evaporation in exactly the same way that the uncertainty principle prevents the hydrogen atom from total collapse: the collapse is prevented, not by symmetry, but by dynamics, as a minimum size and mass are approached.

11 pages, 4 figures; Winner of 3rd Place in the 2001 Gravity Research Foundation Essay Competition

Cited by in corpus (451)

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• More on the initial singularity problem in gravity's rainbow cosmology
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• Maximal extension of the Schwarzschild spacetime inspired by noncommutative geometry
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• Investigation of Unruh temperature of Black holes by using of EGUP formalism
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• Gravitationally induced uncertainty relations in curved backgrounds
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Maximal momentum GUP leads to quadratic gravity
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• Noncommutative correction to the entropy of Schwarzschild black hole with GUP
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• Massless Charged Particles, Naked Singularity, and Generalized Uncertainty Principle in Reissner-Nordström-de Sitter-like spacetime
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• Probing the generalized uncertainty principle through quantum noises in optomechanical systems
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• Perturbing microscopic black holes inspired by noncommutativity
• Microscopic primordial black holes and extra dimensions
• Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes
• Path integral action of a particle with the generalized uncertainty principle and correspondence with noncommutativity
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• Rainbow gravity corrections to the entropic force
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• Gravity's Rainbow and Black Hole Entropy
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• GUP-Corrected van der Waals Black Holes
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• Tsallis uncertainty
• Higher-order generalized uncertainty principle corrections to the Jeans mass
• Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics
• On the Chandrasekhar Limit in Generalized Uncertainty Principles
• Mini Black Holes in the first year of the LHC
• Simple regular black hole with logarithmic entropy correction
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• Simple analog of the black-hole information paradox in quantum Hall interfaces
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• Particle Dynamics and Quasi-Periodic Oscillations in the GUP-Modified Schwarzschild Spacetime: Constraint Using Micro-Quasars Data
• Black hole complementarity with the generalized uncertainty principle in gravity's rainbow
• On the difference between Poincaré and Lorentz gravity
• An Application of Lorentz Invariance Violation in Black Hole Thermodynamics
• Minimal Length, Nuclear Matter, and Neutron Stars
• Type V singularities in non-standard cosmological backgrounds
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• Quantum gravitational signatures in next-generation gravitational wave detectors
• Primordial black holes and induced gravitational waves from inflation in the Horndeski theory of gravity
• The Fate of Monsters in Anti-de Sitter Spacetime
• Investigating bounds on the extended uncertainty principle metric through astrophysical tests
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Constraining the generalized uncertainty principle with neutron interferometry
• Thermodynamic phase transition based on the non-singular temperature
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• A new class of regular Black Holes in Einstein Gauss Bonnet gravity with localized sources of matter
• Stability of remnants of Bardeen regular black holes in presence of thermal fluctuations
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
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• Modified regular black holes with time delay and 1-loop quantum correction
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• The Hawking temperature, the uncertainty principle and quantum black holes
• Massless Charged Particles Tunneling Radiation from a RN-dS Horizon and the Linear and Quadratic GUP
• Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes
• New models of d-dimensional black holes without inner horizon and with an integrable singularity
• Quantum gravitational wave function for the interior of a black hole and the generalized uncertainty principle
• Path integral action for a resonant detector of gravitational waves in the generalized uncertainty principle framework
• Quantum oscillations in the black hole horizon
• The Bekenstein-Hawking Corpuscular Cascading from the Backreacted Black Hole
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• Thermodynamics and Quasinormal Modes of the Dymnikova Black Hole in Higher Dimensions
• Friedmann equations and cosmic bounce in a modified cosmological scenario
• Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space
• Feasibility of Primordial Black Hole Remnants as Dark Matter in View of Hawking Radiation Recoil
• Thermal dimensional reduction and black hole evaporation
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• Upper Bound of Barrow Entropy Index from Black Hole Fragmentation
• Radiation of Charged Black Holes and Modified Dispersion Relation
• A comparison of remnants in noncommutative Bardeen black holes
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• Planck-Scale Corrections to Friedmann Equation
• A path(-integral) toward non-perturbative effects in Hawking radiation
• Charged shells and elementary particles
• Mini-review on mini-black holes from the mini-Big Bang
• Effect of GUP on the Kepler problem and a variable minimal length
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• Non-collider searches for stable massive particles
• The Mass Gap of the Space-time and its Shape
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• Black hole remnant in asymptotic Anti-de Sitter space
• Microstructure of Charged AdS Black Hole with Minimal Length Effects
• HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
• Black hole thermodynamics in asymptotically safe gravity
• Quantum Entropy-Driven Modifications to Holographic Dark Energy in $f(G,T)$ Gravity
• Virtual Black Holes from Generalized Uncertainty Principle and Proton Decay
• Probable ratio of the vacuum energy in a Schwarzchild-de Sitter space
• Deformed Hamilton-Jacobi Method in Covariant Quantum Gravity Effective Models
• Microscopic black hole and uncertainty principle with minimal length and momentum
• Cosmology from quantum potential in a system of oscillating branes
• UV/IR Mixing and Black Hole Thermodynamics
• Black hole remnants due to Planck-length deformed QFT
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Kaniadakis entropy-based characterization of IceCube PeV neutrino signals
• Uncertainty principle from the noise of gravitons
• Note on uncertainty relations in doubly special relativity and rainbow gravity
• Fractional quantum mechanics meets quantum gravity phenomenology
• Photon velocity, power spectrum in Unruh effect with modified dispersion relation
• Thermodynamic phase transition of a Schwarzschild black hole with global monopole under GUP
• Another look on the connections of Hubble tension with the Heisenberg Uncertainty Principle
• Type V singularities with inhomogeneous equations of state
• Resonant detectors of gravitational wave in the linear and quadratic generalized uncertainty principle framework
• Scattering and absorption by extra-dimensional black holes with GUP
• Remnants of black holes from rainbow gravity in terms of a new VSL theory
• Thermodynamics as a tool for (quantum) gravitational dynamics
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Generalized uncertainty principle and neutrino phenomenology
• Free-fall Rainbow BTZ Black Hole
• Thermodynamics of charged AdS black holes in rainbow gravity
• Are non-vacuum states much relevant for retrieving shock wave memory of spacetime?
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
• Position and momentum uncertainties of a particle in a V-shaped potential under the minimal length uncertainty relation
• Modified Brans-Dicke cosmology with Minimum Length Uncertainty
• Classical acceleration temperature from evaporated black hole remnants and accelerated electron-mirror radiation
• A duality-invariant Einstein-Planck relation and its consequences on micro black holes
• GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce
• About detecting very low mass black holes in LAr detectors
• The Influence of Approximation in Generalized Uncertainty Principle on Black Hole Evaporation
• Singularity at the demise of a black hole
• Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence
• Emergence of quadratic gravity from entanglement equilibrium
• Towards a unitary formulation of quantum field theory in curved space-time: the case of Schwarzschild black hole
• Information paradox and island of covariant black holes in LQG
• Friedmann equations from GUP-modified equipartition law
• Entropic uncertainty relation based on generalized uncertainty principle
• Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle
• Bounded compactness from G(E)UP
• Extra-dimensional generalization of minimum-length deformed QM/QFT and some of its phenomenological consequences
• Evaporating black holes and late-stage loss of soft hair
• Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle
• Hawking Temperature in Taub-NUT (A)dS spaces via the Generalized Uncertainty Principle
• Tidal effects based on GUP-induced effective metric
• Thermodynamic Prescription of Cosmological Constant in Randall Sundrum-II Brane
• Deformed Quantum Field Theory, Thermodynamics at Low and High Energies, and Gravity. I
• Quantized space-time and its influences on some physical problems
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• Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
• Hawking Temperature and the Inverse-Radius Scale of the Horizon
• Hawking for everyone: Commemorating half a century of an unfinished scientific revolution
• Remark on Remnant and Residue Entropy with GUP
• Phase transitions of GUP-corrected charged AdS black hole
• Extremal noncommutative black holes as dark matter furnaces
• Quantum corrections in general relativity explored through a GUP-inspired maximal acceleration analysis
• Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
• Quantum Gravity Effects on the Tachyon Inflation from Thermodynamic Perspective
• The tunneling radiation of Kehagias-Sfetsos black hole under generalized uncertainty principle
• Quantum tunneling driven by quintessence and the role of GUP
• Generalized uncertainty principles and black hole temperatures in rainbow gravity
• Particle production by a relativistic semitransparent mirror of finite size and thickness
• Quantum gravity corrections to the tunneling radiation of scalar particles
• Uncertainty principle and gravity
• Planck scale black holes - Theory vs. observations
• Generalized Uncertainty Principle: from the harmonic oscillator to a QFT toy model
• Corrections to the thermodynamic quantities of Bose system by the generalized uncertainty principle
• Conformal transformation route to gravity's rainbow
• Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
• Quantum gravity, the cosmological constant, and parity transformation
• Emergent GUP from Modified Hawking Radiation in Einstein-NED Theory
• Uncertainty Principles and Non-local Black Holes
• Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
• Natural Cutoffs effect on Charged Rotating TeV-Scale Black Hole Thermodynamics
• Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions
• From minimal-length quantum theory to modified gravity
• Ideal Quantum Gases with Planck Scale Limitations
• Gravity from thermodynamics in vacuum: Lorentz invariance and the role of Bel-Robinson tensor
• How Spacetime Foam modifies the brick wall
• Dust stars in the minimal exponential measure model
• Dimensionally-dependent uncertainty relations, or why we (probably) won't see micro-black holes at the LHC, even if large extra dimensions exist
• Charged Massive Particle's Tunneling From Charged Non-Rotating Micro Black Hole
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• A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
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• Thermodynamics of spacetime from minimal area
• Quantum-Corrected Entropy Bounds on Black Hole Merger Efficiency
• Analysis of black hole thermodynamics under Generalized uncertainty principle from the doubly special relativity
• Generalized uncertainty principle for a Dirac fermion in a torsion field
• The Formation of the Universe: Conjectures
• The Extended Uncertainty Principle from a Projector-Valued Measurement Perspective
• Black Holes as a Gateway to the Quantum: Classical and Semi-Classical Explorations
• One-dimension quantum systems in the framework of the most general deformation GUP form
• Circumventing the black hole hair-loss problem
• From MOND entropy to extended uncertainty principles: A unified framework
• Equations for fields with additional fundamental physical constants
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
• Traversable Wormholes in Distorted Gravity
• A rotating GUP black hole: metric, shadow, and bounds on quantum parameters
• Proton Decay and the Quantum Structure of Spacetime
• Maximally localized states and quantum corrections of black hole thermodynamics in the extreme case with an improved exponential GUP
• A quantum theory of gravity