New Formulation of the First Law of Black Hole Thermodynamics: A Stringy Analogy

TL;DR

This paper proposes a novel analogy between the thermodynamics of Kerr-Newman black hole horizons and string theory, reformulating the first law of black hole thermodynamics through horizon area combinations resembling string theory constructs.

Contribution

It introduces a new formulation of the first law of black hole thermodynamics based on horizon area combinations that mimic string theory right- and left-movers.

Findings

Horizon area sums and differences resemble string theory modes.

Reformulation aligns black hole thermodynamics with string/D-brane models.

Provides a new perspective on black hole thermodynamics through string analogy.

Abstract

We consider the first laws of thermodynamics for a pair of systems made up of the two horizons of a Kerr-Newman black hole. These two systems are constructed in such a way that we only demand their ``horizon areas'' to be the sum and difference of that of the outer and inner horizons of their prototype. Remarkably, these two copies bear a striking resemblance to the right- and left-movers in string theory and D-brane physics. Our reformulation of the first law of black hole thermodynamics can be thought of as an analogy of thermodynamics of effective string or D-brane models.