What if the smallest unit of space is a granular point, measuring one Plank's length in every possible dimension? This would cause a string to be pan dimensional as well, measuring one Plank's length in every possible dimension, and capable of vibrating in the direction of any dimension.
It makes no sense to assume that space is capable of behaving like the mathematical concept of dimension. It makes no sense to assume that space can be purely one or two or three dimensional.
If the smallest unit of space is redefined as being composed of pan-dimensional granular points it allows for a fascinating series of extrapolations that might better explain the observed data.
I could go on, unless it can be shown why this is not possible.
