A fundamental problem with proof-of-work (or any proof-of-energy system, really), is that they favour the existing unequal distribution of wealth. The people with the most access to the ability to do computing work, or the most energy, are the existing rich. Obviously, the billionaires of the world can easily afford access to vast computing power that ensures that they would be the ones that would gain most of the newly minted cryptocurrencies.

So, even with the end of fiat and all money is now crypto, lo and behold, the current billionaires are still the billionaires and nothing has really changed. Except maybe people are more dependent on energy, computing resources and access to the network to do something as trivial as buying something, giving the billionaires even more power to de-person anyone they don't want, by denying them access to these things that a person cannot produce by themselves.

Your proof-of-network might be an improvement on this but I'm not sure it really fixes the problem. How hard would it be for a billionaire to own millions of nodes on the network? It's simply a matter of devoting computing resources to running independent nodes instead of calculating hashes.

A fundamental problem with proof-of-work (or any proof-of-energy system, really), is that they favour the existing unequal distribution of wealth. The people with the most access to the ability to do work, or the most energy, or the existing rich. Obviously, the billionaires of the world can easily afford access to vast computing power that ensures that they would be the ones that would gain most of the newly minted cryptocurrencies.

So, even with the end of fiat and all money is now crypto, lo and behold, the current billionaires are still the billionaires and nothing has really changed. Except maybe people are more dependent on energy, computing resources and access to the network to do something as trivial as buying something, giving the billionaires even more power to de-person anyone they don't want, by denying them access to these things that a person cannot produce by themselves.

Your proof-of-network might be an improvement on this but I'm not sure it really fixes the problem. How hard would it be for a billionaire to own millions of nodes on the network? It's simply a matter of devoting computing resources to running independent nodes instead of calculating hashes.