2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33672A 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.5 pages, LaTeXGeneral Relativity and Quantum Cosmologytext