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Equation 60 · Part 3 · The Bit Comes Back Before the Bearing

Symbol β

λL≤2π/β\lambda_L \le 2\pi/\beta
β\beta

What this part means

β 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

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

The passage around this formula

…the bound this conjecture leans on: the exponential growth rate of an out-of-time-order correlator, the operational signature of chaos, cannot exceed λL\lambda_L ≤\le 2π\pi/β\beta for a thermal system at inverse temperature β\beta , with a black hole horizon saturating the bound [ 3 ] . Combining a Lyapunov-limited spread over ln⁡\ln S e-foldings of the hole’s Bekenstein-Hawking entropy S gives the estimate

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Sources cited in the surrounding passage

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