Given that the universe has exited its prime star formation phase and that fewer sun-like stars will be birthed in the future, will there come a time before the universal heat death that life cannot exist because only red dwarf stars will remain in the far future?
I think you are begging the question a bit with the idea that life would be impossible if there were only red dwarfs.
Yes, in about 1 trillion years, the only stars in the universe still fusing hydrogen will be red dwarfs. But I don’t know that it follows that this makes life impossible.
Is this accurate?
I regularly see recent astronomical pictures of the sky, with the captions pointing out areas as ‘star forming regions’. Areas where gravity, galaxy collisions (near passes), etc. are pulling interstellar dust or other mass objects together, eventually becoming massive enough to form into a star and begin fusing.
Is this something that happened long ago that we are just seeing now? Because I’m not sure I see any reason for this process to stop.