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xkcd #2846: Daylight Saving Choice
(imgs.xkcd.com)
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There's always one check in that situation. Whether it's business hours or timezone difference. And you still need to check business hours even in our current system, so might as well just simplify it (which of course isn't happening any time soon).
Better yet let business hours be based on daylight, no need to wonder if things are open or not based on the sun's position in the sky.
So... Current system then?
Noon is mid day or coffee to it no matter where you are, you know businesses will be open for sure a couple hours before and after noon local time.
No? It shifts midday around. The day gets shorter on both sides of the sun's peak you know?