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Equation 118 · Part 1 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol Δphi_rm clock

Δϕclock=2π Δν Δτ≈0.294 rad.\Delta\phi_{\rm clock}=2\pi\,\Delta\nu\,\Delta\tau\approx0.294\ \text{rad}.
Δϕclock\Delta\phi_{\rm clock}

What this part means

the resulting clock phase.

Its job in the formula

Δphiri_rm clock is part of the quantity the equation computes from the expression on the right.

Where the article explains it

The resulting clock phase is

The passage around this formula

The resulting clock phase is Δϕclock=2π Δν Δτ≈0.294 rad\Delta\phi_{\rm clock}=2\pi\,\Delta\nu\,\Delta\tau\approx0.294\ \text{rad}. This, again, is an exact evaluation of a stated formula under stated idealized assumptions — a single-photon clock transition, no recoil, no laser phase, a static height difference held exactly one second — offered as illustrative, not as a report of anything measured. No such experiment has been performed at this scale; it is precisely the regime the cited proposals argue is at the edge of feasibility with current optical-clock coherence and large-scale atom-fountain technology, not a regime already demonstrated.

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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