Symbol lambda_L
lambd is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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The natural timescale for is the scrambling time, and it is worth deriving in real units rather than only in the abstract. Sekino and Susskind conjectured that black holes are the fastest scramblers nature permits, mixing information across all their degrees of freedom in a time growing only logarithmically with entropy [ 2 ] . Maldacena, Shenker, and Stanford later proved the sharp version of the bound this conjecture leans on: the exponential growth rate of an out-of-time-order correlator, the operational signature of chaos, cannot exceed 2/ for a thermal system at inverse temperature , with a black hole horizon saturating the bound [ 3 ] . Combining a…
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Symbol pi
pi is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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β is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Equation 60 · Evolutionary Physics
The Bit Comes Back Before the Bearing
This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.
The natural timescale for is the scrambling time, and it is worth deriving in real units rather than only in the abstract. Sekino and Susskind conjectured that black holes are the fastest scramblers nature permits, mixing information across all their degrees of freedom in a time growing only logarithmically with entropy [ 2 ] . Maldacena, Shenker, and Stanford later proved the sharp version of the bound this conjecture leans on: the exponential growth rate of an out-of-time-order correlator, the operational signature of chaos, cannot exceed 2/ for a thermal system at inverse temperature , with a black hole horizon saturating the bound [ 3 ] . Combining a…
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