On Tunnelling Through the Black Hole Horizon

TL;DR

This paper demonstrates that quantum tunneling cannot produce particle creation at a black hole horizon, emphasizing the role of horizon regularity and fundamental principles of relativity in this limitation.

Contribution

It proves that particle creation via quantum tunneling at the black hole horizon is impossible, regardless of the tunneling domain size, based on fundamental relativistic principles.

Findings

No particle creation occurs through tunneling at the horizon.

Regularity and covariance principles prevent tunneling-induced particle creation.

The result holds for any size of the tunneling region.

Abstract

It is shown here that there is no way for particle creation to occur by quantum tunneling through an infinitesimal neighborhood of the black hole horizon. This result is a trivial consequence of the regularity of the horizon, the equivalence principle and the general covariance of the relativistic theory of gravity. Moreover, we also confirm the less trivial statement that no particle creation by quantum tunneling through the black hole horizon is possible independent of the size of the presupposed tunneling domain.