It will be. Islamic events are scheduled by a lunar calendar, which has less days in a year than our solar calendars. So things like the fasting in Ramadan and the pilgrimage are about 11 days earlier each year. So in like 12 years the Hajj should be during February.

I’m no expert, but I think the events the pilgrims attend to are strictly tied to the time of day, meaning they can’t be rescheduled to be in the night.

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But if you actually had infinite time, then that would mean that the world for all intents and purposes has ended. It would never continue, ever. No matter what you do, it would have absolutely no impact at all.

Furthermore, I imagine if you actually had to wait infinitely long for the answer to finish, that would be like hell. There is only so much you can look at in a frozen world, assuming you would even be able to move at all. I can hardly imagine any happiness after some billions and trillions of years of no new stimuli in a frozen world.