This reminds me of 'The Gods Themselves', by Asimov. Doesn't talk about a mirror universe per se, but a parallel one. It's one of my favourite Asimov stories outside the Foundation/Robots series.
Personally I think it is Asimov's best work, with I Robot not far behind and Foundation in a distant third. Honestly not sure why people are so enamored of Foundation.
I disliked The Gods Themselves when I read it the first time because of all the freaky alien sex that was described in so much detail. Of course I was a child at the time.
I liked Foundation because of the series aspect - it was a cool premise and it was good to have so many books cover it thoroughly. I did find the last bits that were just to tie it together with the Elijah Bailey stories to be boring.
>Doesn't talk about a mirror universe per se, but a parallel one. It's one of my favourite Asimov stories
This reminds me of the two-part episode in Season 4 of "Enterprise", "In a Mirror, Darkly", which was probably the best episode of the series, and definitely had the very best opening sequence and music of the show.