# For how much longer will we able to see the light from the first stars?

Maybe I am all wrong, but if the first light from the stars was emitted around 13 billions years ago, it means it has been travelling this entire time through the expanding universe while being redshiffted. This light is still reaching it since we can see it with HST and JWST in the future.

My question is: will this infrared light from that age ever stop reaching us? Shouldn't we get "younger" light with each new second? Or does the expanding universe cancels out that effect?

I know I haven't been really clear but I hope you understand what I am asking! Thanks!

The most distant galaxy yet observed is GN-z11. The light we see from that galaxy is redshifted by a factor $z=11.1$, and was emitted when the Universe was 400 million years (Myr) old, and GN-z11 itself was roughly 50 Myr old. If we observe GN-z11 in, say, 10 Gyr from now (when the Universe is 23.8 Gyr old), we will see it having aged. But because of the expansion of the Universe, we will not see it having aged by 10 Gyr, but only by roughly 1.5 Gyr and thus be ~2 Gyr old. That is, in the future we will see light that today is younger (namely only ~11.8 Gyr old today), but at that time will be ~21.8 Gyr old.

So, we don't "get younger light with each second".

In the future we will build more powerful telescopes and thus be able to see farther than today, i.e. see light that today is older. And, in the future light from more distant galaxies in will have had the time to reach us, and we will be able to see a larger and larger part of the Universe. That is, the observable Universe keeps expanding. Assuming that by that time we have telescopes powerful enough to see that far, we will be able to see light that was emitted at the same time as the light we see from GN-z11 today, but which today is simply too far away to see yet.

The limit for how far away we can see light emitted at $t=0$ expands forever as @pela states above, this is correct. But the time span from $t=0$ to the accelerating expansion of the Universe takes an object across the event horizon -- the time after which we can no longer receive information from the object -- is also getting shorter for more and more distant regions. That is, we can see larger and larger parts of Space, but we can see smaller parts of their life span as we go farther away. At some point, these regions will cross the event horizon before the firsts stars have formed, and we will never see light from the first stars there.