Men can take the same testosterone supplements as women, so men will continue to win this arms race. It would be interesting to see what the androgen receptor

Men can take the same testosterone supplements as women, so men will continue to win this arms race. It would be interesting to see what the androgen receptor density is between males and females; if by some weird quirk, the receptor density is higher in females, then "doping" with anabolic steroids could theoretically be more effective for women. But at that point you are blurring the line and violating almost all principles of fair sport. Note, there is one sport where doping is essentially permitted, and that is professional bodybuilding. And we have yet to see women with bigger, denser, thicker muscles than men. So I think even with unlimited doping, men still have some kind of innate advantage.