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Equation 67 · Part 5 · The Bend an Elevator Cannot Fake

Symbol s

Δt=2ΩA/c2≈2(7.292×10−5)(2.5×1011)/(8.988×1016)≈4.1×10−10 s\Delta t = 2\Omega A/c^2 \approx 2(7.292\times10^{-5})(2.5\times10^{11})/(8.988\times10^{16}) \approx 4.1\times10^{-10}\,\mathrm s
ss

What this part means

s is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

s is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

…≈\approx 7.292×\times10^{-5}\,rad s−1\mathrm{rad\,s^{-1}} [ 10 ] , the accumulated timing offset is Δ\Delta t = 2Ω\Omega A/c2c^2 ≈\approx 2(7.292×\times10^{-5})(2.5×\times10^{11})/(8.988×\times10^{16}) ≈\approx 4.1×\times10^{-10}\,s\mathrm s , a little over four hundred picoseconds. Gated at the one-second averaging interval conventional for this comparison, the corresponding dimensionless edge bias is s = Δ\Delta t/T ≈\approx 4.1×\times10^{-10} — eight to nine orders of magnitude larger than any clock’s own fractional instability. A…

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