Equation 64 · Part 1 · The Bit Comes Back Before the Bearing

Symbol t_*

t_* \;\sim\; \frac{\beta}{2\pi}\,\ln S, \qquad \beta \equiv \frac{\hbar}{k_BT_H} = \frac{8\pi GM}{c^3},

t_*

What this part means

$t_*$ is part of the quantity the equation computes from the expression on the right.

Its job in the formula

$t_*$ is part of the quantity the equation computes from the expression on the right.

Full expressionSymbol t_*Article meaning

The passage around this formula

…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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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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