# Thermodynamics of Non-Commutative Scalar-Tensor-Vector Gravity Black holes

## TL;DR

This paper investigates the thermodynamic stability and information emission of non-commutative MOG black holes, revealing stable remnants and non-thermal correlations during evaporation.

## Contribution

It introduces a non-commutative framework for MOG black holes, showing their thermodynamic stability and information leakage mechanisms.

## Key findings

- Non-commutative MOG black holes are thermodynamically stable.
- A stable remnant with zero temperature remains after evaporation.
- Information leaks via non-thermal correlations during tunneling.

## Abstract

In this paper, we analyze the thermodynamic stability of Schwarzschild Modified Gravity (MOG) black holes in a non-commutative framework. We show that, unlike a commutative MOG black hole, in the coherent state picture of non-commutativity MOG black holes are thermodynamically stable. At the final stage of evaporation, a stable remnant with zero temperature and finite entropy is left in this noncommutative framework. Also, we consider Parikh-Wilczek tunneling mechanism of massive particles from non-commutative MOG black holes and demonstrate that information leaks out of non-commutative MOG black holes in the form of some non-thermal correlations.