Minimal length via GUP makes the usual coherent state characterizations inequivalent for the harmonic oscillator, deforming phase-space trajectories and inducing intrinsic squeezing absent in standard quantum mechanics.
Canonical reference
The Generalized Uncertainty Principle and Black Hole Remnants
Canonical reference. 100% of citing Pith papers cite this work as background.
10
Pith papers citing it
Background
100% of classified citations
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.
citation-role summary
background 5
citation-polarity summary
roles
background 5polarities
background 5representative citing papers
A minimum purification time for evaporating black holes is derived as scaling with M0^4/hbar^{3/2}, becoming exponential in initial area under a metastability assumption for Planck-scale holes, implying white-hole remnants.
Improved GUP deformations applied to FLRW cosmology with Ashtekar-Barbero variables produce a non-singular emergent universe coasting from constant volume without a bounce and with a universal maximum energy density.
A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.
Generalized black-hole entropies are realized via Misner–Sharp mass and Wald entropy in scalar-tensor gravity, yielding distinct Einstein-frame scalar potentials with cosmological implications.
Torsion-induced fermion condensate produces hybrid inflation with axial-chemical-potential waterfall, Q-ball PBH seeds, and parity-violating signatures in Chern-Simons gravity.
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.
In Modified Gravity, a scalar breathing-mode perturbation yields non-thermal radiation and second-order entropy production, while a running MOG parameter α(M) quenches Hawking radiation into a stable remnant.
Generalized Bardeen black holes show two topological defects of opposite winding numbers yielding zero total charge in their thermodynamic vector field, unlike Schwarzschild's single unstable branch, with regularization parameters shaping the phase structure.
Quantum-corrected thermodynamics of conformal Weyl gravity black holes via GUP and exponential entropy reveals parameter-dependent divergences in heat capacity and shifts in Joule-Thomson inversion points indicating phase transitions.
citing papers explorer
-
Coherent states in minimal-length Quantum Mechanics: inequivalent characterizations and emergent squeezing
Minimal length via GUP makes the usual coherent state characterizations inequivalent for the harmonic oscillator, deforming phase-space trajectories and inducing intrinsic squeezing absent in standard quantum mechanics.
-
Minimum lifetime of a black hole
A minimum purification time for evaporating black holes is derived as scaling with M0^4/hbar^{3/2}, becoming exponential in initial area under a metastability assumption for Planck-scale holes, implying white-hole remnants.
-
Effective Improved-GUP Cosmology: Emergent FLRW Universe without a Bounce
Improved GUP deformations applied to FLRW cosmology with Ashtekar-Barbero variables produce a non-singular emergent universe coasting from constant volume without a bounce and with a universal maximum energy density.
-
The Remnant of an Evaporating Rotating Regular Black Hole from the Generalized Entropy in the Final Stage of Evaporation
A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.
-
Scalar-Tensor Gravity as a Probe of Generalized Black Hole Entropy
Generalized black-hole entropies are realized via Misner–Sharp mass and Wald entropy in scalar-tensor gravity, yielding distinct Einstein-frame scalar potentials with cosmological implications.
-
Fermion Condensate Inflation, Dynamical Waterfall Mechanism and Primordial Black Holes
Torsion-induced fermion condensate produces hybrid inflation with axial-chemical-potential waterfall, Q-ball PBH seeds, and parity-violating signatures in Chern-Simons gravity.
-
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.
-
Dynamical Black Hole Thermodynamics in Modified Gravity
In Modified Gravity, a scalar breathing-mode perturbation yields non-thermal radiation and second-order entropy production, while a running MOG parameter α(M) quenches Hawking radiation into a stable remnant.
-
Topological Thermodynamics of Generalized Bardeen Black Hole
Generalized Bardeen black holes show two topological defects of opposite winding numbers yielding zero total charge in their thermodynamic vector field, unlike Schwarzschild's single unstable branch, with regularization parameters shaping the phase structure.
-
Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions
Quantum-corrected thermodynamics of conformal Weyl gravity black holes via GUP and exponential entropy reveals parameter-dependent divergences in heat capacity and shifts in Joule-Thomson inversion points indicating phase transitions.