How long would it take to reach the current edge of the reachable portion of the universe, with the following bounds in mind:
- We figure out a way build a space ship to provide a constant 1 G acceleration for an extended period of time.
- We accelerate until we are halfway there, then decelerate past this point (so we stop when we get there.
- Our target is about 15 billion lightyears away. As per http://curious.astro.cornell.edu/about-us/104-the-universe/cosmology-and-the-big-bang/expansion-of-the-universe/616-is-the-universe-expanding-faster-than-the-speed-of-light-intermediate galaxies past 4,740 megaparsecs are no longer reachable. Using this site http://www.convertunits.com/from/megaparsecs/to/light+years to convert megaparsecs to lightyears means this "unreachable" point is currently 15,459,812,396.5002 lightyears away. Let's simplify to 15 billion lightyears, which is still supposed to be reachable.
- We somehow work out all the details of life support, collision with particles at relativistic speeds, etc...
I would like to know the time the traveler experiences, and the time that everyone else (e.g. those on earth) experience.