Equation 21 · Part 4 · The Entry a Relabeling Cannot Write

Symbol H_c

D_\Lambda := H_f - \Lambda^\dagger(H_c).

H_c

What this part means

wrong, does not touch the total energy of any closed system, and does not by itself explain where a nonzero reading comes from.

Its job in the formula

$H_c$ is one of the signed contributions combined to compute the quantity on the left.

Full expressionSymbol H_cArticle meaning

Where the article explains it

It does not propose that $H_f$ or $H_c$ is wrong, does not touch the total energy of any closed system, and does not by itself explain where a nonzero reading comes from; it only names, precisely and checkably, how large the disagreement is between two fully specified descriptions.

The passage around this formula

That pullback is the object this article is built around: $D_\Lambda := H_f - \Lambda^\dagger(H_c)$ . $D_\Lambda$ is Hermitian on $\mathcal H_f$ — a positive, unital map applied to a self-adjoint input stays self-adjoint — and it carries units of energy, since both terms do. Its state-dependent reading,

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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 article section

[9] Positive Functions on C*-Algebras ↗

These citations provide research context; check each source for the exact claim it supports.