Coordinate time

It can be shown that it's possible to synchronize all clocks of interest in an inertial frame, so that they are all ticking in sync.

(Definition) In an inertial frame K, the time read off from its synchronized clocks is called the coordinate time of K.

The coordinate time of an event can be read off from the clock in K that is momentarily co-located with the entity to which the event happens.

As long as there is only one inertial frame considered, time seems no different from that of classical mechanics.

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