I'm trying to remember a novel I read in the late 80s or early 90s. I don't remember too many details. This is what I do remember:
- It involved a voyage through hyperspace.
- As part of this voyage they were transporting a large blue-ish cat-like creature, which may have been intelligent or telepathic.
- There was a murder which required investigation. The cat may have been involved, possibly falsely accused.
- One of the characters explains the necessity of infinite dimensions: each dimension needs a higher dimension to be nested in. Eg, planes are required in order for lines to exist, planes can't exist without 3-space, 3-space can't exist without the fourth dimension of time, etc. By induction, the universe has infinite dimensions, QED.
- The cover of the book was probably fairly colourful, eg bright primary colours, possibly featuring the large cat.
Most of these details are up for grabs since it wouldn't surprise me if I'm misremembering parts. I read a lot of scifi when I was a kid and some of it has blurred together.
However, I'm 99% certain about the voyage through hyperspace involving a discussion of infinite dimensions. It stuck with me because I found the concept so mind-blowing, and I was disappointed a few year later when I found out there is no substance to it.