Stress
I've wondered myself why women have not reached comparable levels to men in pool. There really isn't any physical reason, with the possible exception of men being physically stronger, which could have an impact on breaking.
But when you get right down to it, the average female pro does not play position as well or play patterns as well as the top male players, nor do they handle stress as well. Allison is the notable exception. Her patterns and position play are superb and she is very cool under pressure.
So I think part of the difference is simply excecution and part it is creative vision, or conceptualizing geometric possibilities.
Now why this should be different escapes me. It's not that men are inherently stronger, smarter, more predatory, or any of the other commonly offered reasons.
I think the biggest reason, at least what I have observed most frequently, is how females and males differ in the processing of stress. Women tend to react more emotionally to stress, or more specifically--distress. Men tend to grit and bear it. That's what we're trained to do. Males are expected to "get it done."
Consider how we males might react to a male friend or teammate missing the 9 because of poor position on the 8. We don't tend to offer condolences, or if we do, it's pretty contrite. More often, we're saying or at least thinking, 'Well, you shouldn't have screwed up position on the 8.'
Women are far more empathic. They will attempt to soothe another woman's feelings. Males, if we offer anything more than "too bad," or "tough luck," will suggest how to fix it so it doesn't happen again.
What is boils down to is, women are soothers by nature; men are fixers. I think men feel compelled to find solutions because failing is not acceptable. Women soothe so that their counterparts don't feel bad.
Essentially, it is analytical thinking verses emotional thinking. Males tend to block out emotions and use analysis to solve problems; women tend to embrace emotions, which interfers with analytical problem solving.