> One 'answer' to this concern is to have a 'leap hour' or something in the future

We've had 27 leapseconds in the last 54 years [1] - an average of 0.5 seconds per year.

At that rate, solar time will drift by 60 seconds over the course of 120 years. Drifting by 10 minutes will take 1200 years.

The leap hour will be in 7200 years, around year 9226.

[1] https://en.wikipedia.org/wiki/Leap_second

You're missing that the frequency of leap seconds is accelerating over time, because Earth's rotation is slowing down. The leap hour will therefore happen earlier: https://www.ucolick.org/~sla/leapsecs/future2100.svg

> The leap hour will be in 7200 years, around year 9226.

7200 years ago the Neolithic revolution was still in full swing and many of the most famous megaliths like Stonehenge hadn’t even been built yet. The first real state, the Sumerian civilization, hadn’t formed yet in Mesopotamia.

Personally, I’m very comfortable making this someone else’s problems 7200 years from now. If they’re still having basic coordination issues then it’s their own damn problem.

"And so the Y10K problem was born"

I’d better go brush up on my COBOL

"Basic" made me lol :)

Yeah. There’s also the issue that the earth’s rotation is slowing down, so over the long term leap seconds would become more and more frequent. There’s a point when the earth is slow enough that leap seconds need to happen nearly every month, and by that point they are no longer a workable solution to the problem. That is expected to take a few thousand years, comparable to the point where a leap hour would be needed if there were no leap seconds.