Unitarity, Analytical Time and Hawking's Temperature

TL;DR

This paper demonstrates that by analytically continuing time in a black hole background and enforcing unitarity, quantum states acquire a thermal factor directly linked to Hawking's temperature, providing an alternative perspective on Hawking radiation.

Contribution

It introduces a method to derive Hawking's temperature from unitarity and time continuation, offering a new understanding of black hole radiation and information loss.

Findings

Quantum states at the horizon develop a thermal factor.

The thermal factor is exactly determined by Hawking's temperature.

Provides an alternative interpretation of Hawking radiation.

Abstract

By analytically continuing the time variable in a black hole background, and requiring unitary evolution, it is found that quantum mechanical states at the horizon develop a thermal factor under suitable identification of the physical time. The thermal factor is found to be determined exactly by the Hawking's temperature. This can be interpreted as the Hawking's radiation and offers an alternative understanding to the process and the information loss puzzle.