Equation 9 · The Entry a Relabeling Cannot Write
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wrong, does not touch the total energy of any closed system, and does not by itself explain where a nonzero reading comes from. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol H_c
wrong, does not touch the total energy of any closed system, and does not by itself explain where a nonzero reading comes from.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
A coarse description reports less. It is built from a completely positive, trace-preserving map , a quantum channel sending fine states to coarse states, together with a coarse Hilbert space and a Hermitian coarse Hamiltonian on it. The simplest case is the partial trace over the bath, = [] with = ; nothing below depends on that particular choice, and a passive relabeling built from no discarding at all, treated next, is a channel too.
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