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Equation 94 · Part 1 · No Particle Without a Cosigner

Symbol D_rm det

DdetD_{\rm det}
DdetD_{\rm det}

What this part means

well defined, it can be evaluated, and the cleanest case where it is well defined and non-trivial is a comparison between two accelerated trajectories, both with finite normalizable spectra, differing only slightly in acceleration.

Its job in the formula

DrD_rm det is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

How Far Two Signatories Can Drift Where DdetD_{\rm det} is well defined, it can be evaluated, and the cleanest case where it is well defined and non-trivial is a comparison between two accelerated trajectories, both with finite normalizable spectra, differing only slightly in acceleration.

The passage around this formula

…at the identical acceleration. Two distinct, non-coincident probability densities have nonzero total variation distance between them as a matter of definition, with no integral needing to be evaluated to know this. So DdetD_{\rm det} between a monopole-coupled and a derivative-coupled detector on the same trajectory is strictly positive — exactly the “unmatched apparatus” failure mode the treaty’s second clause exists to catch, demonstrated here in closed form rather than merely asserted.

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Sources cited in the surrounding passage

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