Dimensions or paths?

Citing myself here.

"Ever heard of the Fractional Quantum Hall (FQH) Effect? It's a really strange effect where if you pass a electric current through a wire, having a magnetic field perpendicular on the wire, the electrons inside that wire suddenly deflects sideways. Now pointing to the surface of the wire, generating a voltage across the wire's width. and that's called the 'Hall effect'. So, how can electrons behave this way?

Well, it seems the answer lies in that they combines into a new kind of 'particle', called anyons. Anyons are somewhere in between fermions (normal matter, like electrons:) and bosons (photons and gluons for example). Fermions prefer to have a reserved seat in space (Pauli exclusion principle & Fermi–Dirac statistics). Bosons, on the other hand, can happily all join into one big superposition, in where they all together take no place at all (Bose–Einstein statistics). But 'anyons' is a third state which are neither bosons, nor fermions, and as the electrons 'clump together' to create this state they also suddenly begets fractional charges, called the FQH effect.

Sure but how do they do it, and why? A very understandable explanation I saw discussed it from the point of 'folds'. There are some definitely weird things about our 'ordinary electrons' too btw. One electron can in certain circumstances be positioned in two places simultaneously, but, there is also the possibility of two electrons only taking one 'place', 'standing on top of each other', and it is this effect we will discuss now. The reason they can do so has to do with that there are two quantum states possible for each 'reserved place' in space. So the 'space' we discuss here becomes a double-folded, three dimensional, space.

Did it hurt your head? I liked it a lot, to me it has to do with how I should see 'dimensions'. Remember those very small 'rolled up' dimensions that string theory speaks about? Add to that the idea of dimensions, as in our SpaceTime where we have eight 'corners', so 1 2 4 8 (ours) 16 32 ~. So is that it? Or is this another description of what a 'dimension' could be seen as? This idea also takes a fair shot at explaining why you have to 'turn' a electron 720 degrees to give it a 'full turn'. Can you see why? It has to do with those two 'folds' it exist in, turn it a full 'circle' (360 degrees) and you will have 'moved' it in its 'interior fold' to a start position of its 'exterior fold', another 360 degrees will give you the original start position back in its 'interior fold', all as I understands it."