One Hair Postulate for Hawking Radiation as Tunneling Process

TL;DR

This paper proposes a universal formula for Hawking radiation as tunneling, linking black hole properties and radiation energy, which suggests entropy conservation and offers insights into the black hole information paradox.

Contribution

It introduces a no-hair based postulate for tunneling rates, deriving a general, metric-independent formula that reveals correlations in emitted particles and addresses information loss.

Findings

Derived a universal tunneling probability formula

Revealed correlations between emitted particles

Suggested entropy conservation in black hole radiation

Abstract

For Hawking radiation, treated as a tunneling process, the no-hair theorem of black hole together with the law of energy conservation is utilized to postulate that the tunneling rate only depends on the external qualities (e.g., the mass for the Schwarzschild black hole) and the energy of the radiated particle. This postulate is justified by the WKB approximation for calculating the tunneling probability. Based on this postulate, a general formula for the tunneling probability is derived without referring to the concrete form of black hole metric. This formula implies an intrinsic correlation between the successive processes of the black hole radiation of two or more particles. It also suggests a kind of entropy conservation and thus resolves the puzzle of black hole information loss in some sense.