Earlier quoted context omitted.
For the uninformed, what mathematical guarantees does POW have that POS doesn’t?
PoW is open-membership, because the means of coin production are not tied to owning coins already. All you need to contribute is computing power, and you can start earning coins at a profit. PoS is closed-membership with a veneer of open-membership, because the means of coin production are tied to owning a coin already. What this means in practice is that no rational coin-owner is going to sell you coins at a fast en…
With PoW coin you are constantly devaluing your share of the blockchain by paying some third parties operating giant gpu farms and hydroelectric dams.