How long was Link asleep after the prologue?

Maybe this has been answered before, but how long was he out? Almost everything we see only started after the upheaval, like the regional phenomena and the research team in Kakariko Village, so Link was asleep for all of that. It seems like these things have been going for a month or more by the time Link wakes up.

At least in BotW, Link was in some medical healing juice, but did he just go into hibernation this time? And why was he naked, I feel like Rauru did more than just replace his arm