Not in any way that's provably sound, in the mathmatics proof sense. Proof-of-work is mathmaticly provable. This is no small hurdle.
Oh please. Unless you plan on debating the finer points of the cryptographic proof differences between DSAs and hashing algorithms, your argument holds no water. It is defeated very easily because you must concede that a central authority with one key could control a network such as I describe. The point of course is to not give just one key this privilege, but very many.
Your description is 'fuzzy',
I'm aware of that. It's because of an unfounded fear about someone using the idea that I've spent far too much time developing. I wouldn't have a problem with that per se, but it would probably be used to create bitcoin 2.0 rather than cryptocurrency 2.0, and that would be a shame.
as even you mention that your numbers are "debatable".
That is a reference to the constants I use.
what prevents any one person or group from accumulating those Shareholder coins until they can functionally perform a >1% attack?
What is a 1% attack? Refusing to acknowledge a consensus block? Well if no one can hear you scream... Acknowledging a different consensus block? Well hey you've created a fork where you are the only one and the original fork has destroyed your money. Sure, I can just say these things and pretend that's evidence, but understanding proof-of-consensus requires a break from the bitcoin mentality of security. Your attitude speaks volumes about your willingness to think differently, so there is little point in me continuing.
On the flip side, what incentive would a SH coin holder have for selling one? How are they created, and how (or by whom) are those recepients chosen?
They aren't created or sold, money of the network is used to purchase shares in the network. The recipients aren't "chosen", they make the decision to work for the network. In return, they receive a portion of transaction fees. This stuff is all covered clearly enough in the first few paragraphs.
God this thing is complex, and it's not even close to a complete protocol.
Complex? Yes. Protocol incomplete? No, only the proposal is incomplete for brevity and the aforementioned fear.
What prevents a SH coin holder from using that power to disrupt the network itself, by voting against consensus?
The simple fact that every single other SH that is not colluding with him will agree destroy his share for his unwillingness to agree to consensus. Of course then comes the "well what if EVERYONE is colluding?" and I have to point out the failure of that logic etc.
I contend that some of these features are impossible on a practical level, and some might be impossible on an implementation level.
Well if you contend!
Good God! That's an awful way to make an argument, Etlase2. Haven't you learned anything during your tour here?
I'm not here to argue, I know what I propose is possible and it will be made. The more that are made aware of a completely different way to accomplish the task at hand is available, the more quickly it is likely to be realized.
And thanks for the support 100x.