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Equation 133 · Part 3 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol Δ z

Δτ≈g Δz T/c2\Delta\tau\approx g\,\Delta z\,T/c^2
Δz\Delta z

What this part means

Δ z 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

Δ z 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

No experiment has run the differential two-height, two-internal-state protocol at the meter-and-second scale used illustratively above; it remains a proposal, not a result [ 10 , 11 ] . What existing data already constrain is the space this construction is allowed to occupy. Dual-species atom-interferometric tests of the weak equivalence principle have matched the free-fall trajectories of different atomic species to extraordinary precision by actively canceling the very laser/recoil terms this paper identifies as confounds, which is direct evidence that no large anomalous mass-dependence is hiding in the dominant phase term this construction must avoid [ 12 ] . Separately, ordinary…

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Sources cited in the surrounding passage

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