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Equation 45 · Part 1 · The Bit Comes Back Before the Bearing

Symbol epsilon_L

ϵL(t)\epsilon_L(t)
ϵL\epsilon_L

What this part means

a dimensionless number in [0,1] , and tLt_L has units of time.

Its job in the formula

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

Where the article explains it

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.

The passage around this formula

The shape difference between these two promises is the entire point of separating them. ϵL(t)\epsilon_L(t) is bounded in [0,1] and can, in principle, hit its floor abruptly once decoupling sets in. Var⁡\operatorname{Var}g^\hat g has no upper bound and shrinks only as fast as FQF_Q grows, which — as the next two sections show — need not be abrupt at all. A reader who asks “has the black hole given it back?” is asking two different kinds of question depending on which object they mean, and conflating them is precisely the failure mode this construction is built to prevent.

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Learn the underlying idea

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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Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.