A divergent volume for black holes calls for no "firewall"

Abstract

The presumption that Hawking radiations are thermally distributed can be considered to result from their entanglement with the internal degrees of freedom for a black hole. This leads to the "firewall" paradox if unitary evolution continues into Page's time when a black hole evaporates away half of its initial entropy. However, if the interior of a black hole houses sufficient degrees of freedom to maintain entanglement with the outside at all times, unitarity can be preserved during the complete radiation process and no firewall will be required. This paper proposes a scenario that rescinds firewall by introducing the concept of volume for a black hole. Based on the operational definition by Christodoulou and Rovelli [1], we show that the volume and its associated entropy for a collapsed black hole diverges if the final evaporation stage is treated using noncommutative space. This implicates the interior of a black hole possesses adequate space to store information for a black hole of any mass, like the inside of a "magician's bag".

References in corpus (5)

• Quantum information cannot be completely hidden in correlations: implications for the black-hole information paradox
• How big is a black hole?
• The Black Hole Information Problem
• On the entropy associated with the interior of a black hole
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Cited by in corpus (1)

• The information loss problem and Hawking radiation as tunneling