As far as what is already there in the market when it comes to fairness Monero's POW is among the best.
You can't prove that. How many people weren't using stolen cloud mining accounts as I already explained upthread.
You can't just make up bullshit without proof, math, and a white paper.
Are you sure you are actually an academic

I do not need to.
You can't make any claim about proof-of-work launch distribution being more fair, unless you can prove that you know how much hashrate was produced using
stolen cloud mining accounts (and other ways of cheating the fairness).
It is you that is making the claim that it is not, and proving a negative is even harder.
I am not required to prove there was no stolen cloud mining accounts involved in mining. You have to prove the negative. You got that part backwards.
What I have already done is disprove your assertion that POW mining is equivalent to paying the utility companies for electricity. That is why the weather is so critical.
You have presented no proof of anything. When the white paper is ready, please reply.