Hyperdonut

Our universe apparently has three spatial dimensions, so if it were donut shaped it would have to be a 3-torus, which is beyond my ability to visualize as its enclosed volume is some kind of hyperdonut in four dimensional space. But what the physical implications of the universe being a 3-donut, and can we look for them?

An eight-dimensional hyperdonut is complicated enough to let me hand-wave concerns for sensibility.

You’re unable to manage the mess of hyperdonuts and find yourself lost in hyperspace!

What does all this mean in practice? Well, we don’t expect our quantum processors to look like hyperdonuts.