Equation 85 · The Clock That Comes Back Wrong by Exactly Its Mass
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
The Galilei loop admits an exact, non-simulated numerical check of the whole chain, because [] is precisely the recoil phase every stimulated-Raman atom interferometer already uses for its own calibration. Take a sodium atom, m=3.817510^{-26}\, , driven by a two-photon stimulated-Raman transition on the 589\, line, effective wavevector =2(2/589\,)=2.133510^{7}\, [ 16 ] . The associated recoil velocity is = /m=5.894\, . Hold the loop open for T=50\, , comparable to the short interrogation times of early stimulated-Raman interferometers, so the…
Read the full surrounding passage
The Galilei loop admits an exact, non-simulated numerical check of the whole chain, because [] is precisely the recoil phase every stimulated-Raman atom interferometer already uses for its own calibration. Take a sodium atom, m=3.817510^{-26}\, , driven by a two-photon stimulated-Raman transition on the 589\, line, effective wavevector =2(2/589\,)=2.133510^{7}\, [ 16 ] . The associated recoil velocity is = /m=5.894\, . Hold the loop open for T=50\, , comparable to the short interrogation times of early stimulated-Raman interferometers, so the translation leg is b=T=2.947\, . The loop area is b=T=1.73710^{-4}\, , and the phase debt is
Sources cited in the surrounding passage
These citations give research context. Read each source to check which claims it supports.
Return to The Clock That Comes Back Wrong by Exactly Its Mass