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Equation 146 · Part 1 · The Entry a Relabeling Cannot Write

Symbol Lambda

Λ\Lambda
Λ\Lambda

What this part means

a number attached to one named channel and one named coarse Hamiltonian, not an observer-independent fact about “the” missing energy.

Its job in the formula

Lambda 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

Δ\Delta EΛ(ρ)E_\Lambda(\rho) is a number attached to one named channel and one named coarse Hamiltonian, not an observer-independent fact about “the” missing energy.

The passage around this formula

…built to promise. Δ\Delta EΛ(ρ)E_\Lambda(\rho) is a number attached to one named channel and one named coarse Hamiltonian, not an observer-independent fact about “the” missing energy. A different, equally legitimate choice of Λ\Lambda — a different split of which few collective degrees of freedom count as “the system,” or a different unitary dilation of the same open dynamics, since Stinespring’s theorem guarantees a dilation exists but not that it is unique [ 9 ] — will generally return a different nonzero reading for…

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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 surrounding passage

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