the problem is that women get paid less even if they work as hard or harder than men.
the only way to discover this is to compare salaries.
As I started this argument, the goal of an employer is to pay as little as possible for given work. Let's turn this argument around: if male and female are equally qualified, what would make anyone pay male _more_? If a female accepts to work for less, than she's going to be hired in the first place!
So, maybe females are paid less because they are less productive on the average? It's quite plausible, because they objectively have more distractions then men (giving birth, raising children, etc) . This is a rather valid reason to compensate them with higher pay, but presenting it as 'equal pay for equal fork' is an intentional deception.
therefore the assumption must be that women are paid less because of of this perceived difference, and any claim that women are actually less productive must be proven with extraordinary evidence.
Last time I checked, women's weightlifting or running records were nowhere near those of men. So it is an objective law of nature that women are indeed physically weaker. (To compensate for that, they have unique abilities that men totally lack.)
> therefore the assumption must be that women are paid less because of of this perceived difference
The assumption must be that everyone is paid as low as he/she agrees to work for. It that amount is lower for women, it is only because they agree to work for less. Any rational employer should hire the candidate who asks for less money, and any boss who does not do that will likely go out of business soon, since he can't make rational decisions.
By the way, it is also possible, that a person overestimates his/hers real value to the employer, believing to be doing the same work as another colleague, but getting less pay, starting this fight for 'justice'. In the reality it is most likely that a colleague is only perceived equal, but is somewhat superior in reality.
TL;DR: your salary is an objective value of your labour. if you think you it is worth more, negotiate a raise or go get a better paying job. If you don't get it, you are not worth that pay.
observable physical weakness has no bearing on any other capacities, but what i said above is specifically about those other capacities.
i expect to see evidence that women are less capable programmers, project managers, etc.
the only thing that a salary measures objectively, is your negotiation skills.
i absolutely disagree that everyone should only be paid what they are able to negotiate for.
if there is an objective measure of performance (which, i admit is very hard, if it is possible at all) then equal performance should get equal pay. maybe add in equal responsibility, since that is also a factor.