Equation 125 · Part 3 · The Clock That Comes Back Wrong by Exactly Its Mass
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What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article meaning
The passage around this formula
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…
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
Open the illustrated equality: what the equals sign claims guide →
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 provide research context; check each source for the exact claim it supports.