An Elementary Derivation of the Black-Hole Area-Entropy Relation in Any Dimension

TL;DR

This paper presents a simple, two-line derivation of the black-hole area-entropy relation applicable in any dimension, utilizing Shannon's information theory and Clifford algebras within the framework of the New Relativity Principle.

Contribution

It introduces a novel, concise derivation of the black-hole area-entropy relation using information theory and algebraic structures, applicable across all dimensions.

Findings

Derivation is straightforward and universal across dimensions.

Connects information theory with black-hole thermodynamics.

Highlights the role of Clifford algebras in the derivation.

Abstract

A straightforward two-line derivation of the Bekenstein-Hawking Area-Entropy relation for Black-Holes in {\bf any} dimension is shown based on Shannon's information theory and Clifford algebras required by the New Relativity Principle.