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Equation 67 · The Clock That Comes Back Wrong by Exactly Its Mass

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Φ\Phi

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the single measured phase. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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Φ\Phi

Symbol Phi

the single measured phase.

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Before pointing this construction at an interferometer, one methodological trap needs naming. A single measured phase Φ\Phi at one fixed loop area cannot, by itself, distinguish m from an unknown additive offset baked into the apparatus — any constant phase shift from an uncalibrated pulse timing, an unaccounted path-length difference, or a stray field looks identical to a rescaling of b\mathbf b⋅\cdotv\mathbf v . The estimator that survives this is a derivative, not a snapshot:

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