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Equation 105 · Part 3 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol Δτ

M0c2Δτ/ℏM_0c^2\Delta\tau/\hbar
Δτ\Delta\tau

What this part means

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

Its job in the formula

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

The passage around this formula

The shared M0M_0c2c^2Δ\Deltaτ\tau/ℏ\hbar term, common to both arms, is an overall phase and drops out of any interference signal — consistent with the rule that only relative phase between branches is ever observable. What survives is a clock-visible term set entirely by the internal-energy difference, first proposed as an observable interferometric signature of general-relativistic proper time by Zych, Costa, Pikovski, and Brukner [ 10 ] , and later reframed explicitly as a quantum analogue of the twin paradox by Loriani and collaborators [ 11 ] .

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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