Why Black Hole Information Loss is Paradoxical

Abstract

I distinguish between two versions of the black hole information-loss paradox. The first arises from apparent failure of unitarity on the spacetime of a completely evaporating black hole, which appears to be non-globally-hyperbolic; this is the most commonly discussed version of the paradox in the foundational and semipopular literature, and the case for calling it `paradoxical' is less than compelling. But the second arises from a clash between a fully-statistical-mechanical interpretation of black hole evaporation and the quantum-field-theoretic description used in derivations of the Hawking effect. This version of the paradox arises long before a black hole completely evaporates, seems to be the version that has played a central role in quantum gravity, and is genuinely paradoxical. After explicating the paradox, I discuss the implications of more recent work on AdS/CFT duality and on the `Firewall paradox', and conclude that the paradox is if anything now sharper. The article is written at a introductory level and does not assume advanced knowledge of quantum gravity.

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David Wallace
University of Pittsburgh

Citations of this work

Singularities and Black holes.Erik Curiel - 2010 - Stanford Encyclopedia of Philosophy.
Black Hole Philosophy.Gustavo E. Romero - 2021 - Crítica. Revista Hispanoamericana de Filosofía 53 (159):73–132.
Lost horizon? – modeling black holes in string theory.Nick Huggett & Keizo Matsubara - 2021 - European Journal for Philosophy of Science 11 (3):1-19.

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References found in this work

The ways of paradox.W. V. Quine - 1966 - New York,: Random.
The case for black hole thermodynamics part I: Phenomenological thermodynamics.David Wallace - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 64:52-67.
Holography and emergence.Nicholas J. Teh - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (3):300-311.
The case for black hole thermodynamics part II: Statistical mechanics.David Wallace - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 66 (C):103-117.
The Hawking Information Loss Paradox: The Anatomy of a Controversy.Gordon Belot, John Earman & Laura Ruetsche - 1999 - British Journal for the Philosophy of Science 50 (2):189-229.

View all 6 references / Add more references