rabbi, a history question about the false messiah of the 1600s, shabbetai tzvi.

in 1665 a kabbalist from izmir was proclaimed moshiach, with nathan of gaza as his prophet, and within a year huge parts of the jewish world, including the ashkenazi communities of poland and germany, believed the geula had begun. people sold property and prepared to move to eretz yisrael. then in 1666 the sultan gave him a choice and he converted to islam, and the movement collapsed overnight, with splinter groups lasting for generations.

1. where were the rabbis? some opposed him early, some got swept up, and most ordinary jews heard it all through letters and rumor, not from any central address. what does that show about how rabbinic authority actually worked before modern media?
2. after the collapse, did anything change structurally? did rabbanim become more suspicious of kabbalah, of mass movements, of charisma in general? is there a straight line from 1666 to how the rabbinic world later received chassidus?
3. halachically, what does the episode say about the bar for believing a moshiach claim? the rambam sets criteria in hilchos melachim: a king from beis dovid who learns torah, fights the wars of Hashem, builds the beis hamikdash, gathers the exiles. were the people who followed shabbetai tzvi naive by those standards, or did the standards only get sharp after the failure?

bottom line, basically: what did 1666 do to rabbinic authority, and is the jewish world’s immune system against false messiahs a product of that failure?