Some Heuristic Semiclassical Derivations of the Planck Length, the Hawking Effect and the Unruh Effect

TL;DR

This paper derives fundamental physics constants and phenomena such as the Planck length, Hawking temperature, and Unruh-Davies temperature using classical physics and the Heisenberg principle, clarifying their interrelations.

Contribution

It introduces heuristic semiclassical derivations of key quantum gravitational effects solely from classical physics and the Heisenberg principle, linking Hawking and Unruh effects.

Findings

Derivation of Planck length, Hawking, and Unruh temperatures from classical physics and Heisenberg principle.

Demonstration of how Hawking relation can be deduced from Unruh relation via the principle of equivalence.

Clarification of the deep connection between Hawking and Unruh effects.

Abstract

The formulae for Planck length, Hawking temperature and Unruh-Davies temperature are derived by using only laws of classical physics together with the Heisenberg principle. Besides, it is shown how the Hawking relation can be deduced from the Unruh relation by means of the principle of equivalence; the deep link between Hawking effect and Unruh effect is in this way clarified.