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Equation 133 · Part 5 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol c^2

Δτ≈g Δz T/c2\Delta\tau\approx g\,\Delta z\,T/c^2
c2c^2

What this part means

The square of c: multiply c by itself.

Its job in the formula

c2c^2 is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.

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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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the surrounding passage

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