That would have been a "paradox" even one second into the universe.
The one second travel time away from the center + the one second of time if took for the light to get back to the center = 2 seconds, which is > the one second that was the age of the universe at that time.
Instant paradox!
In our hypothetical, either the age of the universe number is off, the distance to the outer edge is off, or the speed of light is off... this is where the interesting speculation comes in.... which one is off any why?
Or a fourth possibility: We are off!
Ichneumon seems to think so. Check his post 40
--Boot Hill