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Published equation contexts

ln⁡S≈177\ln S \approx 177

Why this formula appears here

where the second equality for a Schwarzschild hole follows directly from Hawking’s temperature formula [ 7 ] and S = A/4ℓP2\ell_P^2 is the Bekenstein-Hawking entropy [ 6 ] . For a solar-mass hole, β\beta ≈\approx 1.24×\times10^{-4}\,s\mathrm s and ln⁡\ln S ≈\approx 177 , giving t∗t_* ≈\approx 3.5\,ms\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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SS

Symbol S

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Published contexts (1)

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ln⁡S≈177\ln S \approx 177

Equation 67 · Evolutionary Physics

The Bit Comes Back Before the Bearing

This equation gives an approximation: it relates the quantities while allowing an approximation.

where the second equality for a Schwarzschild hole follows directly from Hawking’s temperature formula [ 7 ] and S = A/4ℓP2\ell_P^2 is the Bekenstein-Hawking entropy [ 6 ] . For a solar-mass hole, β\beta ≈\approx 1.24×\times10^{-4}\,s\mathrm s and ln⁡\ln S ≈\approx 177 , giving t∗t_* ≈\approx 3.5\,ms\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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