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Ddet=0D_{\rm det}=0

Why this formula appears here

Two worldlines held at accelerations a1a_1 and a2a_2 therefore differ only by which Planck-shaped curve their normalized spectrum traces, and identical accelerations trivially return DdetD_{\rm det}=0 — the reparametrization check every metric has to pass, satisfied here for the most literal reason available: identical trajectories are, in fact, identical.

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DdetD_{\rm det}

Symbol D_rm det

DrD_rm det is part of the quantity the equation computes from the expression on the right.

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Published contexts (1)

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Ddet=0D_{\rm det}=0

Equation 54 · Evolutionary Physics

No Particle Without a Cosigner

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Two worldlines held at accelerations a1a_1 and a2a_2 therefore differ only by which Planck-shaped curve their normalized spectrum traces, and identical accelerations trivially return DdetD_{\rm det}=0 — the reparametrization check every metric has to pass, satisfied here for the most literal reason available: identical trajectories are, in fact, identical.

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