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The Bekenstein-Hawking Entropy


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Imagine you're walking outside, and you suddenly see a very dense, dark object in the sky. That dark object is a black hole. A black hole is a cosmic phenomenon that has a gravitational force so strong that nothing, not even light, can escape its pull. Scientists have a lot of questions and theories about black holes, and one of them relates to something called the Bekenstein-Hawking Entropy.

Entropy is a way to describe how messy or disordered a system is, for example, how sand might be spread out on a beach, or the air in a room. In physics, entropy is related to the amount of information about a system that is unknown or that we can't see. For example, imagine you have a box of toys that you can't see into: the less you know about what's inside, the higher the entropy of that box.
Now, back to our black hole. Scientists have been trying to understand how much entropy is inside a black hole. In the 1970s, a physicist named Jacob Bekenstein started thinking about the entropy of black holes. He found that the entropy inside a black hole is related to the area around its outer surface, called the event horizon. The event horizon is the point of no return – if you get too close to the black hole, there's no way to escape its pull.
Then, another scientist, Stephen Hawking, came onto the scene. He used quantum theory, which is the study of very, very small particles, to work out how much entropy is in a black hole using Bekenstein's idea. The result of their combined work is known as the Bekenstein-Hawking Entropy formula. This formula tells us that the entropy of a black hole is directly related to the area of its event horizon.
But why should we care about the entropy of black holes? Well, it's not just about black holes: this idea of entropy has implications for our understanding of the entire universe, and how it might work at the smallest levels. It also helps us understand how information might be lost or preserved when objects fall into black holes.
In conclusion, the Bekenstein-Hawking Entropy is a fascinating concept that helps us understand the behavior of black holes and the universe itself. By understanding the entropy of black holes, we can gain insight into the nature of the cosmos and the most fundamental aspects of reality.

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TIL: ELI5By TIL