Why do you say that the time slices overlap? It seems on your set up, and mine, that they do not. The point seems to be just that nothing can happen in less than a Planck time, not that something cannot happen in 10.5 Planck times. The latter doesn't follow from the former so far as I can see. But I'm not on firm ground here, and I may well be mistaken. (ETA: But at any rate my example above doesn't involve anything happening in 10.5 Planck times. Everything I describe in that example can be said to occur in a whole number of planck times.)
And 'now' doesn't imply infinite divisiblity: we could have moments of time whether or not time is infinitely divisible, and we would need to refer to them to talk about the limit between two planck times anyway. And we cannot arrive at moments by infinite divisibility anyway, since moments are extensionless, and infinite division will always yield extensions.
Ah, english is not my native language. With "event B happens in another timeslice that starts half a planck time after the slice of event A" I meant timeslice B starts half a planck length after timeslice A started, so the second half of A overlaps with the fist of B.
B does not happen at 10.5 planck times after now. It happens somewhere between 10 and 11 planck times after "now" and you cannot tell when. Do not visualize time as a sequence of slices.
Edit: My point is, it's simply impossible to visualize time. If your brain insists on vi... (read more)