Infants can only perceive in one dimension (closeness and farness). Young children can only perceive three dimensions (they can't plan or handle time). Teenagers and young adults can perceive 3+1 dimensions. However, this is all psychological and dependent on our personal growth, which means that someone could exist who perceives more dimensions than 3+1 and it wouldn't be a logical contradiction.
Is there any way to empirically test whether there are more dimensions? If there were 3+2 dimensions, then I could have a clock that is two-dimensional. Or I could have one clock that would tick in one dimension and another clock tick in another dimension.
How can we design an experiment to test this?