grant9076 said:
I am just a layman who read that the farthest quasars (based on redshift) are about 13 billion light years away. Is that true?
I also read that the age of the universe is less than 14 billion years and that the overall shape (from observations of background radiation) is that of a flat manifold.
There seems to be contradiction or something that I am not understanding.
It's a good question---what's the most distant quasar detected so far, or galaxy for that matter. The original poster is not around to talk to, but others might be reading and want to know.
The current most distant galaxy is at redshift 8.6. It was reported in October 2010.
http://arxiv.org/abs/1010.4312
If you want to translate a redshift into lightyears, google "wright calculator" or "cosmo calculator"
You just type 8.6 into the box and press "general".
It will give several measures, one is the light travel time, how long it took the light to get here. For redshift 8.6 the calculator will say that the light took 13.1 billion years. Or equivalently, that the light got started when expansion was 0.6 billion years old. We see the galaxy as it was when the expansion age was 600 million years.The next thing it gives, in the line below that, is the "now" or "freezeframe" distance which you would measure if you could stop expansion at this moment---make everything hold still---and measure by any conventional means, radar, yardsticks, tapemeasure... As it says there, this is the distance that is used in stating the Hubble law.
The galaxy they found had just barely formed. Hadn't had time to develop into a quasar. To become a quasar you need time to accumulate a massive central black hole. The farthest galaxies we see are still in their early stages.
In my signature to this post I have a link to another equally good calculator Morgan's "cosmos calculator".
It gives the rates of distance increase, at two separate epochs (when the light left on its journey to us, and when it arrived).
To use that one you need to first type in three numbers (.27, .73, and 71) which are the parameters of the standard universe model. But then it should give the same "freezeframe" distances, and light travel times, plus a little extra information