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Equation 95 · 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

Nothing about DdetD_{\rm det} 's definition requires flat spacetime; the response functional is written in terms of the Wightman function and proper time, both of which are perfectly well defined along a stationary worldline in a curved, static exterior. What changes in curved spacetime is that the field state is no longer unique even after the geometry is fixed: a Schwarzschild exterior supports the Boulware vacuum (empty at infinity, singular at the horizon), the Hartle-Hawking state (thermal everywhere, matching a black hole in equilibrium with its own radiation), and the Unruh state (matching outgoing Hawking flux with no incoming radiation), and a detector’s response depends on which of the…

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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 article section

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