Everyone today is talking about Pi Day and the match to 3/14/15 at 9:26:53 AM. As I've become old, my brain doesn't work so well, so I could be way off on this, but if we include decimal fractions of a second here, couldn't we take this match out even farther than the 53? I was thinking that at some point, the time could exactly match the digits in pi for as many places as we'd like to go. For example at some point the calendar and clock would show 3/14/15 9:26:53.58979 and this could go on to any digit in pi as far as we wished to go, even billions of places.
Is this correct or have I lost all my math ability?
Yes, but we do not have the technology yet. On that day, at an instantaneous moment in time, the exact value of pi would be passed. However, atomic clocks today are only accurate up to $10^{-21}$ of a second, which makes it only available to express 31 digits right now.