Stability of Quantum Isolated Horizon : A Local Observer's View

TL;DR

This paper demonstrates that a Quantum Isolated Horizon, when viewed locally, is thermodynamically unstable due to negative specific heat and divergence of the partition function under thermal fluctuations, highlighting its local instability.

Contribution

It provides a novel analysis of the local thermodynamic instability of Quantum Isolated Horizons using two different methods, one quantum statistical and one holographic.

Findings

Quantum Isolated Horizon has negative specific heat.

Partition function diverges under thermal fluctuations.

QIH is locally thermodynamically unstable.

Abstract

It is shown that a Quantum Isolated Horizon(QIH), as observed by a local observer, is locally unstable as a thermodynamic system. The result is derived in two different ways. Firstly, the specific heat of the QIH is shown to be negative definite through a quantum statistical analysis. Then, it is shown, in the thermal holographic approach, that the canonical partition function of the QIH diverges under Gaussian thermal fluctuations of such energy spectrum, implying local instability of such a QIH as a thermodynamic system.