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the definition of a second wouldn't have an uncertainty when related to the transition of the Cs atom, The definition of the SI unit "second" does not refer to just any given sample of Cs atoms, and specificly, not to transitions between the two hyperfine levels of the ground state of just any given sample of caesium 133 atoms; but it refers to an ...

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The number of significant digits in 28600 depends on what the error in the measurement is. If sigma = 15 Then we can write 28600(15) and there are 5 significant digits. If sigma = 1800 then we can write 28600 +-1800 and there are 3 significant digits. If sigma = 25000 then we can write 2.9(25)x10^4 and there are 2 significant digits. Significant digits are ...

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I do not understand what the accuracy of $1$ part in $10^{14}$ means. [...] reviewed the definitions of accuracy and error [...] In definitions of "accuracy" or "error" you should have noticed mentioning of the true value of some particular quantity, referring to the trial(s) under consideration, and the corresponding, commensurate value(s), ...

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