Equation 67 · Part 1 · The Bit Comes Back Before the Bearing

Symbol S

\ln S \approx 177

S

What this part means

S is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

S is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol SArticle meaning

The passage around this formula

where the second equality for a Schwarzschild hole follows directly from Hawking’s temperature formula [ 7 ] and S = A/4 $\ell_P^2$ is the Bekenstein-Hawking entropy [ 6 ] . For a solar-mass hole, $\beta$ $\approx$ 1.24 $\times$ 10^{-4}\, $\mathrm s$ and $\ln$ S $\approx$ 177 , giving $t_*$ $\approx$ 3.5\, $\mathrm{ms}$ — an exact evaluation of the stated formulas, illustrative of the scrambling scale and not a claim about any particular measured hole.

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