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Equation 45 · Part 2 · No Particle Without a Cosigner

subscript

DdetD_{\rm det}
subscript

What this part means

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.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

The first term is the field state — the same vacuum, or the same thermal state, or in curved spacetime the same choice among the Boulware, Hartle-Hawking, and Unruh states, since none of those is fixed by the geometry alone. The second is the coupling type: a detector linearly coupled to the field itself and a detector coupled to the field’s proper-time derivative are different instruments on the same worldline, and their response spectra carry different powers of Ω\Omega in the numerator even for identical trajectories — Moustos showed exactly this, that a detector’s early-time response depends on which bilinear of the field it couples to, even though, remarkably, its late-time asymptotic…

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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.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the surrounding passage

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