The effect of the tortoise coordinates on the tunnel effect

TL;DR

This paper examines how tortoise coordinates influence the understanding of quantum tunneling near black holes, suggesting that tunneling may provide additional insights beyond Hawking radiation.

Contribution

It offers a detailed analysis of the impact of tortoise coordinates on quantum tunneling processes around black holes, highlighting potential new information from tunneling effects.

Findings

Tortoise coordinates complicate the understanding of tunneling processes.

Tunneling may reveal additional black hole information beyond Hawking radiation.

The study clarifies the role of tortoise coordinates in black hole quantum effects.

Abstract

The tunnel process of the quantum wave from the light cone is carefully discussed. They are applied in the massive quantum particles from the Schwarzschild black hole in the Kruskal metric. The tortoise coordinates prevent one from understanding the tunnel process, and are investigated with care. Furthermore, the massive particles could come out of the black hole either by the Hawking radiation or by the tunnel effect; the tunnel effect might give more information about the black hole.