Virtual space and beings living in it are a staple of science fiction. Usually, these are either artificial, i.e. artilects, or were once human, i.e. uploaded minds. Fictional examples of such beings living in virtual environments are among many others in the extended Revelation Space Universe by Alistair Reynolds, The Corporation Wars by Ken McLeod, or the Bobiverse by Denis E. Tayler. Usually, these "Virtuals" and their environments remain fairly similar to the baseline universe.
I was wondering, however, if there is any fundamental reason why one would have to simulate the virtual environment so realistically, i.e. with 3 spatial and one temporal dimension. Could one modify or create a mind so that it can cope with for example 4 spatial dimensions and let it live in such an environment?
I think that this might be very interesting, as it would allow the exploration of more dimensional space by beings that can actually intuitively exist in it and not just comprehend it. This might be quite useful for data visualization. I'm not sure how exactly this could be used, but I believe that visualizing the complex parts functions or depicting the past states of a three-dimensional system over time might be an option if I understand it correctly. What one might do with even more dimensions is anyone's guess.
So is there any fundamental reason why such a being couldn't be created? And are my ideas about what it could do right, wrong or did I miss more interesting applications?