Difference Principle and Black-hole Thermodynamics

TL;DR

This paper explores how the difference principle relates to black-hole thermodynamics, suggesting black-hole entropy's properties support the idea that differences or gradients can give rise to constructive dynamics, with implications for understanding black-hole physics.

Contribution

It proposes a connection between the difference principle and black-hole entropy, offering a new perspective on the role of differences in fundamental physics and black-hole thermodynamics.

Findings

Black-hole entropy's quadratic dependence on mass aligns with the difference principle.

Hawking radiation considerations highlight the importance of figure-ground distinctions.

The difference principle may set bounds on system differences related to black-hole physics.

Abstract

The heuristic principle that constructive dynamics may arise wherever there exists a difference, or gradient, is discussed. Consideration of black-hole entropy appears to provide a clue for setting a lower bound on any extensive measure of such collective system difference, or potential to give rise to constructive dynamics. It is seen that the second-power dependence of black-hole entropy on mass is consistent with the difference principle, while consideration of Hawking radiation forces one to beware of implicit figure-ground distinctions in the application of the difference principle.