To help those not closely following the thread linked by the OP, here is the question that set off the discussion about mutiple time dimensions:
Then there is what appears to be reference to entirely speculative view of the universe from a recollected reading but not something citable, followed by citing of an essay (e.g. a scientific paper on Arkiv not intended for peer review publication) by a fairly well respected philosopher/scientist:
[0812.3869] Multiple Time Dimensions
I confess I don’t follow the scientific arguments, but the final paragraph is a good reminder to not blow scientific hypothesizing into more than that:
The study of multiple time dimensions here is rather preliminary. I have not discussed gauge fields or other massive fields, and on a conceptual level I have not tackled what may be the most difficult question of all, how to characterize observers and observation in such a theory. What I have shown, I hope, is that theories with multiple time dimensions are a live conceptual possibility, and that if nothing else, they serve to stretch our minds as to what may be physically possible.