Symbol T

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…make this concrete without simulation, take the weak-field proper-time rate d$\tau$/dt$\approx$1+gz/$c^2$ for a static height z in Earth’s field, so that holding two branches at a height difference $\Delta$ z for coordinate time T gives $\Delta$$\tau$$\approx$ g\,$\Delta$ z\,T/$c^2$ . For $\Delta$ z=1\,$\mathrm m$ and T=1\,$\mathrm s$ , $\Delta$$\tau$$\approx$1.090$\times$10^{-16}\,$\mathrm s$ . Pair this with a single-photon optical clock transition near 698\,$\mathrm{nm}$ , comparable to the transition used in strontium-lattice-clock proposals for…

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