 The study used acoustic emission, a signals to analyze the behavior of brittle materials under uniaxial compression. The AE signals were analyzed using non-extensive statistical mechanics, NESM, which is a robust theoretical framework for understanding fracture mechanisms and damage evolution. The NESM parameters Q and beta Q were calculated for each specimen and their variation with respect to the applied stress was studied. Additionally, the study explored the possibility of a linear relationship between these two parameters as well as the potential for deviations from monotonicity to indicate increased damage accumulation. This could lead to a better understanding of the crack development mechanisms and damage accumulation processes during fracture. This article was authored by Andronikos Lucidus, Ilias Tavrakas, and Demos Triantis.