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R ⁣∪ ⁣CtR\!\cup\!C_t

Why this formula appears here

Nt\mathcal N_t is the effective channel from A to R\!∪\cup\!CtC_t induced by the hole’s own scrambling dynamics up to time t ; ϵL(t)\epsilon_L(t) is a dimensionless number in [0,1] , and tLt_L has units of time. This is a yes-or-no-shaped promise sharpened into a number: either a decoder within ϵ\epsilon of perfect exists on the stated resources, or it does not, and ϵL(t)\epsilon_L(t) falls, in the regime this article works in, toward zero as t grows past a threshold.

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RR

Symbol R

R 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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CtC_t

Symbol C_t

CtC_t 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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Published contexts (1)

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R ⁣∪ ⁣CtR\!\cup\!C_t

Equation 26 · Evolutionary Physics

The Bit Comes Back Before the Bearing

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Nt\mathcal N_t is the effective channel from A to R\!∪\cup\!CtC_t induced by the hole’s own scrambling dynamics up to time t ; ϵL(t)\epsilon_L(t) is a dimensionless number in [0,1] , and tLt_L has units of time. This is a yes-or-no-shaped promise sharpened into a number: either a decoder within ϵ\epsilon of perfect exists on the stated resources, or it does not, and ϵL(t)\epsilon_L(t) falls, in the regime this article works in, toward zero as t grows past a threshold.

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