> With time dilation, the "now" on Voyager is out of sync with our now
A couple minutes [1].
> we will have to face the problem of time keeping across the galaxy
Not really. Barring relativistic travel, it’s not dissimilar from the problem seagoing voyagers faced on long trade routes. Ship time is set based on the convenience of the passengers and the route.
[1] https://space.stackexchange.com/questions/56055/if-voyager-1...
Why a couple minutes?
> Why a couple minutes?
…because that’s what the math says? Based on Voyager’s relative velocity it’s expected to be about 2 seconds younger than it would have been had it stayed on Earth.