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The founding fathers of the quantum theory already struggled with thedifferent roles of space and time in quantum theory. Position is by defaultrepresented by an operator, whereas time is usually treated as a parameter.Time operator models exist, in particular a certain Time Operator model denotedthe Temporal Wave Function (T.W.F.). This one extends the Born's rule to thetime domain. The statistics of pure exponential decay does not allow to excludethis Born rule for time. However the tiny violation of the combined discretesymmetries $P$ (parity) and $C$ (charge conjugation) observed in the K-mesonsystem allows us, as we prove in this paper, to discriminate between thestandard predictions, made in the framework of the so-called mass-decay matrixformalism, and the T.W.F. predictions. We also present experimental data of aparticular $CP$ violating decay channel, that is in contrast with theprediction of T.W.F. approach model, resulting in its falsification.

Falsification of a Time Operator Model based on Charge-Conjugation-Parity violation of neutral K-mesons