"incontrovertible evidence"
Excellent.
You first.
What is the incontrovertible evidence that any man* should not, could not possibly compete against his own sex?
And more, that he should compete against the opposite sex, of which he is not a member?
Where is the incontrovertible evidence that it's more inhumane to expect a man to compete against other men, than it is inhumane to demand women compete against men?
Because I missed any of that incontrovertible evidence being offered.
Perhaps it was something along the lines of "the opposite sex call themselves X, and so when I started calling myself X that means I am obviously the same as them. Sport should be segregated on the basis of the words people use for themselves even if they denote entirely opposite meanings. Not fairness, not physicality"
If the justification for a man refusing to compete in his own sex category against competitors of his very own sex, is actually 'no, I can't, because my feelings', then I will see you a billion women's voices saying 'no, because OUR feelings' and raise you a 'ALSO WE ARE NOT HIS SEX AND HE IS NOT OURS'
Where is the incontrovertible evidence that such a man really does 'feel' the way he imagines every single female person 'feels'? Did someone collect hard evidence of how the female competitors feel and compare that with how he feels? Was there a precise moment when an authority assessed those women, recorded their feelings and thoughts and judged "By Jove, these people are scarily similar, these women and this one man, their bodies are opposite to his but their minds are conclusively the same as this man, and yet so shockingly different from all the other male athletes, quickly, let's ensure we group everyone by our predetermined tangible feelings criteria immediately!"
Where is the incontrovertible evidence that feelings are the correct way to segregate sports, or any aspect of life?
I'm yet to see incontrovertible evidence that one sex class appropriating a word for existing people of the opposite sex class and REVERSING ITS MEANING for their own benefit, should ever be treated with anything other than the scathing contempt such a preposterous misappropriation deserves.
It's laughable, that we are indulging globally the contemptuous arrogance of men who think that stealing the word that distinguishes the opposite sex from them dissolves the distinction between the sexes.
Ah, but I'm calling myself a woman, checkmate sister.
Laughable, except people are bowing to it, not laughing at it.
There's never been a speck of evidence produced for why men cannot compete against their own sex. Not one. Ever.
All we ever get is: because I call myself by a different name to my own sex. I call myself what I am not; the name for the opposite sex.
A man is not entitled to the name for my sex. He is not entitled to breach the boundaries of my sex.
*Man: Any adult human male.
Feel free to use your own preferred terms for my hypothetical man, his feelings, his assumed identity and his pronouns.