Equation 124 · The Clock That Comes Back Wrong by Exactly Its Mass
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Symbol k_rm eff
m eff is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol g
g is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
superscript
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What the article says around this equation
The scale of what needs to be canceled is worth stating plainly, using the same illustrative parameters as the previous section. The laser/center-of-mass term for a single-photon transition near 698\, ( 9.0010^6\, ) scales as g8.810^{7}\, for T=1\, . The recoil term for a strontium-mass atom ( m1.44310^{-25}\, ) scales as T/m5.910^{4}\, . The clock term computed above is 0.29\, . Both confound terms are, respectively, roughly eight and five orders of magnitude larger than the signal, which is exactly why…
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The scale of what needs to be canceled is worth stating plainly, using the same illustrative parameters as the previous section. The laser/center-of-mass term for a single-photon transition near 698\, ( 9.0010^6\, ) scales as g8.810^{7}\, for T=1\, . The recoil term for a strontium-mass atom ( m1.44310^{-25}\, ) scales as T/m5.910^{4}\, . The clock term computed above is 0.29\, . Both confound terms are, respectively, roughly eight and five orders of magnitude larger than the signal, which is exactly why isolating is described in this literature as requiring careful differential design rather than being visible in a raw phase reading.
Sources cited in the article section
- [9] Gravitational Redshift in Quantum-Clock Interferometry ↗
- [13] Gravitational Redshift Tests with Atomic Clocks and Atom Interferometers ↗
These citations give research context. Read each source to check which claims it supports.
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