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Published equation contexts

∣Ψ(0)⟩=∣0⟩+∣1⟩2⊗∣hin⟩|\Psi(0)\rangle= \frac{|0\rangle+|1\rangle}{\sqrt 2}\otimes|h_{\rm in}\rangle

Why this formula appears here

Begin with an equal superposition of two localized alternatives, ∣Ψ(0)⟩=∣0⟩+∣1⟩2⊗∣hin⟩|\Psi(0)\rangle= \frac{|0\rangle+|1\rangle}{\sqrt 2}\otimes|h_{\rm in}\rangle . The labels zero and one denote paths, not energy eigenstates. After the system’s long-range field interacts with the inaccessible degrees of freedom, an idealized final pure state has the form

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hinh_{\rm in}

Symbol h_rm in

hrh_rm in is one of the signed contributions combined to compute the quantity on the left.

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

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Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

∣Ψ(0)⟩=∣0⟩+∣1⟩2⊗∣hin⟩.|\Psi(0)\rangle= \frac{|0\rangle+|1\rangle}{\sqrt 2}\otimes|h_{\rm in}\rangle .

Equation 1 · Evolutionary Physics

How Fast Can a Horizon Learn Which Path You Took?

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Begin with an equal superposition of two localized alternatives, ∣Ψ(0)⟩=∣0⟩+∣1⟩2⊗∣hin⟩|\Psi(0)\rangle= \frac{|0\rangle+|1\rangle}{\sqrt 2}\otimes|h_{\rm in}\rangle . The labels zero and one denote paths, not energy eigenstates. After the system’s long-range field interacts with the inaccessible degrees of freedom, an idealized final pure state has the form

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