The discussion centers on the calculation of black hole entropy according to the Bekenstein-Hawking formula. Participants seek clarification on the derivation of the equation, particularly the role of pi in the formula. The equation incorporates factors such as the Planck length and the reduced Planck constant (h_bar), which are essential for understanding the relationship between surface area and entropy. A reference to a detailed derivation is provided from Theoretical Physics Digest.
PREREQUISITESThis discussion is beneficial for theoretical physicists, students of quantum gravity, and anyone interested in the mathematical foundations of black hole thermodynamics.
Thank you for asking. I’ve found it in various forms with varying amounts of description. (This particular one I think came from wikipedia.) To clarify, I know what the factors are. What I’m looking for is an explanation on how they came to be in the same equation. The fact that piques my interest is what happened to pi? Surface area requires 4 pi, so one of the others had to come with pi in the numerator to cancel out pi in the denominator to leave 4 by itself.256bits said:
