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Home Jack Sarfatti's Blog Blog (Full Text Display) Real electron-positron plasma at event horizon of a black hole

Jan
26

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Note to Ray Chiao

Because the light cone tips over so much I don't think a stable circular orbit inside the event horizon is possible - at least classically for a non-rotating black hole.

I do agree that there will be a real electron-positron plasma stuck just outside at the event horizon where the tensor acceleration of virtual quanta off the timelike geodesic is

g(r) = (c^2rs/2r^2)(1 - rs/r)^-1/2

where r = rs + H

H << rs

1 - rs/(rs + H) = 1 - 1/(1 + H/rs) ~ 1 - 1 + H/rs = H/rs

g(r) ~ (c^2rs/2rs^2)(rs/H)^1/2 = (c^2/rs)(rs/H)^1/2

The Unruh energy is

kBT = hg(r)/c ~ (hc/rs)(rs/H)^2

to get a real electron-positron plasma requires

2mc^2 ~ (hc/rs)(rs/H)^2 = hc/(rsH)^1/2

note geometric mean of rs with H.

2(rsH)^1/2 ~ h/mc