Scientists used nonextensive Tsallis statistics (an approach for systems with long-range interactions) to describe the thermodynamics of black holes. The derived entropy generalizes the standard formula and leads to a rich phase structure: black holes can be small, medium, and large, with phase transitions resembling the liquid–gas transition with a critical point. Interestingly, these phases can be distinguished by the light swirling around the black hole: the parameters of photon orbits (period and degree of chaos) change qualitatively with the phase. This links black hole thermodynamics to observations, which is promising for future telescopes.
Black holes aren't faceless devourers. Sometimes they behave like water: they can 'freeze' or 'boil', changing their internal state. Scientists described this by modeling light near a black hole as a gas. This gave rise to a generalized formula for entropy (a measure of disorder), building on the ideas of Bekenstein and Hawking. The twist: this disorder is proportional to the hole's area, not its volume — the exact opposite of what we see in a cup of coffee or a cloud of steam.
The key is the light ring, formed by spacetime curvature. Its properties — rotation speed, beam divergence — sensitively mirror the temperature and pressure of the black hole. By watching the ring, you can literally see the hole undergoing its transformations.
🎯 A black hole's entropy — its measure of disorder — grows with surface area, not volume. It's as if a room seemed messier because of the size of its walls, not what's inside.
🎬 The famous glowing ring from 'Interstellar' is exactly the light ring that gives away a black hole's secrets.