In regards to “the measure either increases by 0 or by a minuscule amount (depending on whether many worlds means infinitely many)”, please go into that a bit more. Does a finite amount of worlds allow for a 0 increase in measure per coin flip? I need help wrapping my head around that. To me it seems like the case of 0 measure increase would only, and only might, make sense with infinitely many worlds since then then it doesn’t matter whether you walk the left path or the right path today,
No, this is exactly what I meant: infinite worlds → 0 measure; finite worlds → tiny measure. (Although I don’t know how quantum coins are implemented; if you shoot one photon and look at the position, you’d be guaranteed to have 1 heads and 1 tails in two worlds, so in that case both measures are equal, right? I think you need a hypothetical perfect coin for the thought experiment to work. But I haven’t thought deeply about this.)
No, this is exactly what I meant: infinite worlds → 0 measure; finite worlds → tiny measure. (Although I don’t know how quantum coins are implemented; if you shoot one photon and look at the position, you’d be guaranteed to have 1 heads and 1 tails in two worlds, so in that case both measures are equal, right? I think you need a hypothetical perfect coin for the thought experiment to work. But I haven’t thought deeply about this.)