Regarding actions, can we assign them a specific time in a turn's 6 seconds, or only the order they take place in? If the former, I think legitimately infinite actions works out by the expedient of taking your first action 1/2 way through your turn, then your second 1/2 way through the remainder of your turn, and so on and so forth. You reach the end of the sequence at the end of your 6 seconds, having taken infinite actions (rather than arbitrarily many).