Tunneling across the quantum horizon does not resolve the information paradox

TL;DR

This paper argues that tunneling across the quantum horizon does not resolve the black hole information paradox, challenging previous claims that correlations in Hawking radiation carry the information out of black holes.

Contribution

It demonstrates that correlations in Hawking radiation do not resolve the information paradox and discusses the implications of the no-hair theorem on the Parikh-Wilczek spectrum.

Findings

Correlations in Hawking radiation do not encode black hole information.

Tunneling spectrum remains insufficient to resolve the information paradox.

Implications of the no-hair theorem are analyzed in this context.

Abstract

Parikh and Wilczek formulated Hawking radiation as quantum tunneling across the event horizon proving the spectrum to be nonthermal. These nonthermality factors emerging due to back reaction effects have been claimed to be responsible for correlations among the emitted quanta. It has been proposed by several authors in literature that these correlations actually carry out information locked in a black hole and hence provide a resolution to the long debated black hole information paradox. This paper demonstrates that this is a fallacious proposition. Finally, it formulates the implications of the no-hair theorem in the context of Parikh-Wilczek spectrum.