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Equation 120 · Part 4 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol T^2

ϕ≈keff g T2\phi\approx k_{\rm eff}\,g\,T^2
T2T^2

What this part means

The square of T: multiply T by itself.

Its job in the formula

T2T^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

Here is the strongest objection this construction has to survive, and it is not hypothetical — it was argued in print for over a decade. In 2010, Müller, Peters, and Chu proposed that an ordinary light-pulse atom interferometer’s gravimeter phase already constitutes a measurement of the gravitational redshift at the atom’s Compton frequency mc2c^2/ℏ\hbar , reading the standard interferometer as an implicit realization of exactly the proper-time phase this paper formalizes [ 6 ] . Wolf, Blanchet, Bordé, Reynaud, Salomon, and Cohen-Tannoudji objected immediately: the standard three-pulse Mach–Zehnder gravimeter phase, computed by the ordinary classical-action method, is ϕ\phi≈\approx k_{\rm…

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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

These citations provide research context; check each source for the exact claim it supports.