Barrow black hole corrected-entropy model and Tsallis nonextensivity

Understand

The quantum scenario concerning Hawking radiation, gives us a precious clue that a black hole has its temperature directly connected to its area gravity and that its entropy is proportional to the horizon area.

• These results have shown that there exist a deep association between thermodynamics and gravity.
• The recently introduced Barrow formulation of back holes entropy, influenced by the spacetime geometry, shows the quantum fluctuations effects through Barrow exponent, $\Delta$, where $\Delta=0$ represents the usual spacetime and its maximum value, $\Delta=1$, characterizes a fractal spacetime.
• The quantum fluctuations are responsible for such fractality.