Earlier quoted context omitted.
Computing power, or capital to buy the coins. But I don't think this level of "fairness" is productive to discuss. Every human being on the planet having the exact same amount of wealth is an impossibility.
I'll buy "undesirable", for the sake of the argument. But I'm really not clear why you think it is "impossible". We have had repeated instances throughout history of groups of people practicing common ownership, and they do seem to work reasonably well. (I completely grant they aren't super-popular, but, again, I'm not advocating change, I'm trying to understand why you think this qualifies as "impossible") What do y…
We also have repeated instances throughout history of groups claiming to try to implement common ownership, and instead killing millions and installing tyrannical governments (see: most communist revolutions), of consistently larger scale (orders of magnitude) than the successes.
Historically, it's far more probable that such a common ownership experiment will result in death and tyranny (and not actual common ownership!) than a success - and, given the relative difference in scale between the successes and failures, there's a strong argument to be made that as the scale goes up, the probability of tyranny goes up.
This is one of the justifications for it being impossible in a practical sense (yeah, it's annoying that there's more than one definition for "impossible"). It's a fact that power attracts corruption, and it's also a fact that planet-level-scale common ownership would require more power to implement than any government has achieved so far. So, while not "impossible" in the hard-science sense, it's improbable (with a correspondingly large chance of a catastrophically bad alternative) to the point that it's not reasonable to attempt.
That said, your comment is a measured and thoughtful answer to a potentially-inflammatory topic, and I hope that my response is equally thoughtful.