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∣ψ(g)⟩|\psi(g)\rangle

Why this formula appears here

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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ψ\psi

Symbol psi

psi 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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gg

Symbol g

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

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∣ψ(g)⟩|\psi(g)\rangle

Equation 3 · 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.

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,

Meanings in this article

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