Look if you’ve never seen formulas where the physics is remains consistent as you cross by a division of zero before (such as a ton of differentials in thermodynamics where you simply substitute the term at that point) then maybe try again

I know there’s a reflexive instinct to discard any formula producing division by zero, but if the extrapolation of the graph make sense without breaking any physics maybe it’s correct

And aside from all that, something for which time is undefined obviously don’t experience the passing of time