Kip Thorne says lifetime of a black hole ~ A^3/2 where A = area - entropy of black hole horizon (for now only non-rotating holes).

Tcold ~ 1/A^1/2 for Hawking's original radiation from surface gravity

Thot ~ 1/L^1/2A^1/4 for Hawking's original radiation from surface gravity

Thot/Tcold = A^1/2/L^1/2A^1/4 = A^1/4/L^1/2

Therefore the lifetime of the evaporating black hole is ~ L^3/2/A^3/4 shorter than Hawking's original prediction.

Kip Thorne say a 2 solar mass black hole decays in 10^67 years using Hawking's original theory.

Therefore, for gravity waves L = 1.6 x10^-33 cm and A^1/2 ~ 3 x10^5 cm for a 2 solar mass black hole

very roughly

L^3/2/A^3/4 ~ (1.6 x10^-33)^3/2 (3 x 10^5)^-3/2 ~ 10^-50 x 10^-7

i.e. the black hole of two solar masses evaporates much faster between a billion and ten billion years in my new theory.

## No comments:

## Post a Comment