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I mean, I would imagine that you just have to know when dawn or sunset is in the new location. So in your example? It’s 11:23 am GTM and that in your location, that’s 2.5 hours past noon so you should be finishing lunch.
We have anchored ourselves to certain times having meaning but they are just a stand-in for the true source of truth of local schedule: the sun.
Imo with one universal time, people would just accept that sunsets at X in the summer and rises at Y, everything else would just follow a similar logic.