The Generalized Uncertainty Principle and Black Hole Remnants

2001/06/26 by Ronald J. Adler, Pisin Chen, David I. Santiago +1 · 825 citations
Physics and Astronomy · #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Gravitation #Gravitational wave #Hawking radiation #Micro black hole #Noncommutative and Quantum Gravity Theories #Physics #Planck #Planck mass #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Theoretical physics #Uncertainty principle #Virtual black hole #gr-qc

paper · pdf · doi:10.1023/a:1015281430411

published in General Relativity and Gravitation 33(12), 2101-2108 (Springer Science+Business Media) · 11 pages, 4 figures; Winner of 3rd Place in the 2001 Gravity Research Foundation Essay Competition

arxiv created 2001/06/26 · openalex publication_date 2001/12/01 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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