Minimal Length, Minimal Inverse Temperature, Measurability and Black Holes

TL;DR

This paper introduces a new thermodynamic measurability concept based on minimal inverse temperature, extending quantum minimal length ideas to black hole thermodynamics and horizon spaces.

Contribution

It proposes a novel notion of measurability in thermodynamics rooted in minimal inverse temperature, linking quantum minimal length concepts to gravitational thermodynamics.

Findings

Inferences for black hole thermodynamics using the new measurability concept

Extension of quantum minimal length ideas to horizon thermodynamics

Implications for Schwarzschild black hole thermodynamics

Abstract

The measurability notion introduced previously in a quantum theory on the basis of a minimal length in this paper is defined in thermodynamics on the basis of a minimal inverse temperature. Based on this notion, some inferences are made for gravitational thermodynamics of horizon spaces and, specifically, for black holes with the Schwarzschild metric.