Both scientific evidence and simple observation suggest that Mathematics and Mathematical sciences are dominated by people who have superior Visuospatial IQ.

https://www.pnas.org/doi/10.1073/pnas.1603205113

expert mathematicians rely almost exclusively on visuospatial circuits of the brain. "Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit."

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5994429/

more correlation
https://www.apa.org/pubs/highlights/peeps/issue-81


This relationship is already well established and familiar to those who investigate the psychological/ cognitive frameworks of mathematical sciences so at this point im really just reciting. This relationship is so acknowledged that is has already meme'd itself into the consciousness of certain spheres through the popular 'shape rotator vs. wordcel' dichotomy
My question is, why does this relationship exist? What about visuospatial ability in particular lends itself to the comprehension of mathematical concepts, esp in comparison to verbal ability. Why shouldn't verbal ability be equally correlated? After all, wouldn't one suppose that they are both reducible to raw components of cognition like processing speed, working memory, long term memory ? I find it especially confusing because I feel that at a high enough level , all mathematics and verbalizations become abstracted away from simplistic imagery, so how can possibly visualize them either way? How do you visualize mathematical fields which depend on formalistic manipulation which have no geometric intuition?