Hawking temperature for various kinds of black holes from Heisenberg uncertainty principle

TL;DR

This paper demonstrates that Hawking temperature for various black holes can be derived solely using classical physics and the Heisenberg Uncertainty Principle, without requiring a generalized uncertainty principle.

Contribution

It shows that the Heisenberg Uncertainty Principle alone suffices to compute Hawking temperature for different black hole topologies, simplifying previous approaches.

Findings

Hawking temperature derived from classical physics and the Heisenberg Uncertainty Principle.

Applicability to black holes with spherical, toroidal, and hyperboloidal topologies.

No need for a Generalized Uncertainty Principle in these calculations.

Abstract

Hawking temperature is computed for a large class of black holes (with spherical, toroidal and hyperboloidal topologies) using only laws of classical physics plus the "classical" Heisenberg Uncertainty Principle. This principle is shown to be fully sufficient to get the result, and there is no need to this scope of a Generalized Uncertainty Principle.