How Is Black Hole Entropy Calculated According to Bekenstein-Hawking?

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Homework Help Overview

The discussion revolves around the calculation of black hole entropy as described by the Bekenstein-Hawking formula. Participants are exploring the underlying equations and the significance of various factors involved in the calculation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are questioning the origins of the equation and the role of specific constants, such as pi, in the formulation. There is a focus on understanding how different factors combine in the equation and the implications of these combinations.

Discussion Status

The discussion is ongoing, with participants seeking clarification and further explanation regarding the derivation of the equation. Some guidance has been offered, including references to external resources, but there is no explicit consensus on the interpretations being explored.

Contextual Notes

There is mention of varying descriptions of the equation and the potential significance of constants like the Planck length and the reduced Planck constant. Participants are navigating through these concepts without a complete resolution of the questions raised.

DuncanJames
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Homework Statement
Looking for help with a detailed explanation of the Bekenstein-Hawking black hole entropy equation, specifically where the variables and constants come from to form this particular arrangement. The pic shows one form of which I found several. Any insight is greatly appreciated.
Relevant Equations
see attached pic
none
 

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Anyone?
 
From where did you find the equation?
Isn't there a description in the write up?
 
256bits said:
From where did you find the equation?
Isn't there a description in the write up?
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.
 

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