In the scenario I am describing, this is not possible.
Yes I am aware of the luddites. I also strongly believe that a threshold exists where technology can outperform humans in every conceivable way, and we will cross that line one day. FWIW, complete collapse of our (current) economic system would occur well before we reach that line anyways. If even 50% of humans were displaced by technology you would likely see violent revolution. Consider the impact of the US great depression, where just under 25% of people were unemployed...
Ok, I wasn't sure how you meant your comment, so I addressed the more plausible (although less literal) interpretation. Thanks for clarifying though. I imagine your scenario is theoretically possible, but it's science fiction for the foreseeable future, so I'm not very concerned about it. That said, it's interesting and I often think about it; I'd be really interested to hear economists opinions.
I think the way I would define fair (and obviously this is somewhat a value judgement rather than objective fact) is that: I don't think its unjust that a CEO gets payed more than a line worker, but when the company succeeds then I think the increase in profits should be divided up such that the ratio of their incomes stays about the same.
Also, when I say "just" I don't mean that in an extreme way where if profits aren't divided up 100% fairly then employees are oppressed wage slaves. Even if my ideal system where implemented things would still be subjective. For example, what if my employer implemented very generous benefits but didn't pay quite as well?
I'm already on board with eliminating poverty! Don't tell me "hiking the minimum wage is the right thing to do and the economics will work itself out", show me the math that says we can do it without inadvertently creating more poverty.
This seems like a false dichotomy in that (for the foreseeable future) we have other options, like retraining people whose jobs have been automated away. This is strictly better (read "less invasive" and "more economically efficient") than wealth redistribution programs [^1].
[^1]: To avoid the motte and bailey fallacies that accompany poorly-defined or otherwise ambiguous terms such as "redistribution", I'm referring to the typical redistribution programs which take wealth from one group and give it to another group with no net increase in economic productivity. These are the kinds of programs which are controversial and objectionable.