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A handwritten formula showing the Bekenstein-Hawking entropy for a black hole. It reads, in LaTeX: S_{BH} = \frac{k_{B} A_{H}}{4 \ell_{Pl}^{2}} That is, the entropy is equal to Boltzmann's constant time the horizon area, divided by 4 time the square of the Planck length.

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A handwritten formula showing the Bekenstein-Hawking entropy for a black hole. It reads, in LaTeX: S_{BH} = \frac{k_{B} A_{H}}{4 \ell_{Pl}^{2}} That is, the entropy is equal to Boltzmann's constant time the horizon area, divided by 4 time the square of the Planck length.
https://files.mastodon.social/media_attachments/files/109/655/432/299/090/741/original/81eddcfbd3e067de.jpeg

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Robert McNees (mcnees@mastodon.social)'s status on Sunday, 08-Jan-2023 20:19:57 UTC Robert McNees
in reply to

Hawking's discovery turned Bekenstein’s proposal into something more concrete.
A black hole has a temperature, and therefore an entropy. This Bekenstein-Hawking entropy is one-quarter of the area of the black hole event horizon, as measured in units of the Planck length squared.

In conversation Sunday, 08-Jan-2023 20:19:57 UTC from mastodon.social permalink