Productivity is not the only determinant of wages. Not only that, but it is quite hard to definitively say how productive a person is. And this doesn't even matter because in general, people get paid however much their employer thinks their labor is worth and that's very subjective. And I would say that many people have in fact created billions in wealth for the world.
> When you see these massive differences in wealth appear, they must either come from theft or luck, both of which are unfair
Luck itself isn't unfair, although you might say that the distribution of luck is 'unfairly' stacked towards the wealthy.
> because they reduce the rewards to labor of the vast majority of humanity and
I (by luck) invent some fantastic widget that improves the lives of people all over the world and I become a billionaire. By becoming a billionaire, did I really make everyone else poorer? I would say no, because I _created_ wealth. Wealth doesn't have to be taken from other people to be had. I won't disagree that theft (which generally involves government/corruption) is 'unfair', although you'll have to clearly define that word since it can mean anything.
> instead funnel unearned power to those least equipped to use it for our mutual benefit.
And who is best equipped to use it? What is 'our mutual benefit'? Who determines what is earned and unearned power (wealth?)?
That isn't correct. Compare Einstein to an able-bodied laborer. How long will it take the laborer to figure out relativity, assuming an infinite lifetime?
Being "able-bodied" isn't much of a consideration in modern times, and in the future, when robots do all the manual labor, it will become completely irrelevant. Not to say we won't exercise for health and enjoyment, only that we won't dig ditches.