A New Interpretation of Compensate Effect

TL;DR

This paper offers a novel interpretation of the Hawking effect as a compensate effect related to coordinate transformations, suggesting the Hawking temperature is a gauge of the compensate field in tortoise coordinates, independent of zero-temperature assumptions.

Contribution

It introduces a new perspective on Hawking radiation, linking it to coordinate scale transformations and gauge fields, expanding understanding beyond traditional zero-temperature frameworks.

Findings

Hawking effect can be viewed as a compensate effect of coordinate scale transformation.

Hawking temperature is identified as a gauge of the compensate field.

The interpretation applies generally without assuming zero-temperature space-time.

Abstract

A new interpretation of compensate effect is presented. The Hawking effect in general space-time can be taken as a compensate effect of the scale transformation of coordinate time on the horizon in generalized tortoise coordinates transformation. It is proved that the Hawking temperature is the pure gauge of compensate field in tortoise coordinates. This interpretation does not refer to a zero-temperature space-time.