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Equation 53 · Part 1 · The Entry a Relabeling Cannot Write

Symbol D_Lambda

DΛ=0D_\Lambda = 0
DΛD_\Lambda

What this part means

DLD_Lambda is part of the quantity the equation computes from the expression on the right.

Its job in the formula

DLD_Lambda is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…one degenerate case; the other is simpler still. Let Λ\Lambda be the identity channel, Hc\mathcal H_c = Hf\mathcal H_f , HcH_c = HfH_f : no relabeling, no discarding, the coarse description simply is the fine one. Then trivially DΛD_\Lambda = 0 . Nothing in the paragraphs above required that; it follows on inspection. But the triviality is the point, because this is the operator-language shadow of the oldest and most secure fact the subject has. A system evolving under its own Hamiltonian, with nothing coarse-grained away…

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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 surrounding passage

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