Unless you're positing that anyone experiencing these types of symptoms are in fact viewing extra-dimensional objects. In which case, good luck with that.
its easy to throw out a baby with the bathwater..
I mean, I don't think Tesla was some kind of super-wizard or anything; extremely intelligent and precient on certain things, lacking in other areas (it's interesting to compare and contrast Tesla and Edison, for instance - but that's OT).
But how often have we heard of, or read about, people able to come up with solutions to, say, complex mathematical problems, seemingly in their head - where they claim to "see" the patterns or formulae or whatever - and it just "comes together" for them correctly?
A kind of "synesthesia" for mathematics, you might call it?
So would it be any less possible that someone could "see" higher-order dimensional visualization and understand them, without need intermediary constructs or simulations?
Also - at least according to his closest biographer (so some bias there, I grant) - Tesla could supposedly "see" how something was supposed to be constructed; it's dimensions, it's workings, it's weight, etc - exactly. It was described as if he could visualize it existing in front of him, before it actually existed, and see everything about it. He could then build it - without needing engineering drawings or such.
Not sure where the truth lies with that, but it was fascinating to read about, if true.
if one person is more receptive to certain things than the other .. it does not make him or her crazy...
"The mathematics of string theory suggests that the world we know is not complete. In addition to our four familiar dimensions - three-dimensional space and time - string theory predicts the existence of six extra spatial dimensions, "hidden" dimensions curled in tiny geometric shapes at every single point in our universe. "
"Don't worry if you can't picture a 10-dimensional world. Our minds are accustomed to only three spatial dimensions and lack a frame of reference for the other six, says UW-Madison physicist Gary Shiu, who led the new study. Though scientists use computers to visualize what these six-dimensional geometries could look like (see image), no one really knows for sure what shape they take."
"According to string theory mathematics, the extra dimensions could adopt any of tens of thousands of possible shapes, each shape theoretically corresponding to its own universe with its own set of physical laws. "
https://www.sciencedaily.com/releases/2007/02/070203103355.h...
The new work was funded by grants from the National Science Foundation, the U.S. Department of Energy, and the Research Corp.