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Equation 3 · Part 2 · The Bit Comes Back Before the Bearing

Symbol g

∣ψ(g)⟩|\psi(g)\rangle
gg

What this part means

an angle: dimensionless, periodic, and physically read as “which way the compass points” relative to the hole’s spin axis.

Its job in the formula

g 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

g is an angle: dimensionless, periodic, and physically read as “which way the compass points” relative to the hole’s spin axis.

The passage around this formula

Into this old hole go two systems. The first, A , is a two-dimensional qubit prepared in an arbitrary, unknown state and coupled to nothing the hole’s own symmetries track — a spectator, chosen so that its recovery is the cleanest possible test of the Hayden-Preskill mechanism on its own terms. The second, C , is a compass: a physical carrier prepared in a state |ψ(g)\psi(g)⟩\rangle that transforms under a one-parameter group of rotations generated by a Hermitian charge J^\hat J , the same charge the hole’s own angular momentum is built from,

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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