[FredZarguna]

Physically, such a thing probably doesn't exist. The Planck Time is about 10^-43 seconds, which has around 43 digits [when measured in seconds] but is not a non-terminating decimal. If we assume the remainder of π - 314 is in days, the closest we got to π was ≈ 137.605270158... seconds after midnight (local time.) If the expansion was in hours, it'll happen at ≈ 15.9265359... hours, or just before 4 PM local time.

[PapaNew]

Well, I don’t know. Like Einstein, I believe in infinity because I believe in God and He has no beginning and no end. As far as time goes, maybe you could call that “macro infinity”.

Here, we’re talking about something more like “micro-infinity”. Maybe our numbers and math can only take us so far. It’s probably in a dimension beyond our three-dimensional universe. I suppose in that sense, maybe you are right that it may not “physically” exist, at least in our three dimensional universe. Maybe it’s like trying to come up with an equation for a black hole.