Why don’t we constantly see new stars in the sky as an increase of light travels to us?

Question

with how light works and the constant expansion of what we term the “observable universe” why don’t we constantly see new stars appearing in the night sky as the observable part expands and stars/galaxies light reaches us for the first time?

The night sky has stayed relatively the same (accounting for changing postions over time, stella phenom, supernovas etc.) for all of humans written history.

In: 515

Answer 1

It does change a lot, our life span is just too short to notice. It’s like looking at a single frame of an endless movie.