There is never a bad time to plug Egan on HN. Diaspora is one of his novels around just this topic. If you decide to read it, strap in, you're going for a mind bending ride.
https://www.goodreads.com/book/show/156785.Diaspora
If I remember correctly part of the book is set in a universe with 6 spatial dimensions - and that's possibly one of the relatively straightforward parts....
Another recommendation for this book - I am pretty sure its my favorite fiction novel and I have read it many times. So many interesting and thought provoking parts.
Ill chime in and say that Egan is my favorite author alive right now. He is absolutely producing the best hard sci-fi there is and I have consumed everything he has written that I can get my hands on.
I would also suggest reading Permutation City and the Clockwork Rocket trilogy by him.
The first chapter is utterly uninspiring. I almost put the novel down due to the cheesiness of the cyberspaceness of it.
Well thank goodness I didn’t. This novel was eye opening as a treatise on small and large scale mortality. One of the most thought provoking pieces of science fiction out there.
I've not read Diaspora, but I have read Schild's Ladder. I found it difficult to follow in parts ( the science explanations ) but some of the themes it touches on are absolutely fascinating. Fans of hard science fiction novels will enjoy.
