The practical proof of the existence of different time systems is the famous muon escape.
Time measurement is relativistic category. One and the same event can be measured of different duration, depending on the motion of the system of reference of the measurement.
In our time system of reference on the surface of the Earth we have our own specific circumstances.
It would be a mistake to consider that certain events measured in our time system as constant or quasi constant would be also measured as constant or static ones from the point of view of other systems of reference or would be of the same intensity as it is measured on the surface of the Earth