Manuscript En09-A@1 · En09-A.tex · definition · eafec9de

Definition: Sampled clock covariance

Frozen native data and measurement semantics › Stationarity and the stronger constraint · lines 294–306

En09-A@1#def:covariance, En09-A@1#eq:clock-covariance

The calibrated clock basis is covariant for the readings ${t_{k}}$ when

P_{k} = U_{C} (t_{k}) P_{0} U_{C} (t_{k})^{†}, U_{C} (t) = e^{- i H_{C} t /ℏ} .

This is an explicit compatibility condition between the clock generator, reading basis, and external calibration.

Displayed formulas in this passage

En09-A@1#eq:clock-covariance · line 298
$P_{k} = U_{C} (t_{k}) P_{0} U_{C} (t_{k})^{†}, U_{C} (t) = e^{- i H_{C} t /ℏ} .$