Equation 129 · Part 2 · The Clock That Comes Back Wrong by Exactly Its Mass
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What this part means
Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.
Its job in the formula
Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.
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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
Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.
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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.