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Imagine if the enterprise had to update all their clocks and schedules to align with Starfleet Headquarters
cannonoically, they do!
Consequence of warp speed, even long hours at impulse cause some discrepancy. They time sync with federation beacons after being out of touch for a while.
We do this now with NTP. Digital clocks have a surprising amount of drift even without relativistic effects.
Time management is already likely a nightmare in the Federation due to all the differing planets/civilizations/etc
I heard Sisko received a commendation for using biogenic weapons on a planet with a 79 hour day
It was Picard performing King Lear for Q on a planet with a 6 hour day.
There was a "Men In Black" cartoon. One of the funniest episodes was that J couldn't adapt himself to MIB's 37 hour long day.