Bitcoin's ledger is a state machine also
A very simplified state machine of the longest chain. The block solutions are nearly independent events which can be approximated by the Poisson distribution.
One exception is the selfish mining attack where in the longest chain rule is subjected to selfish hiding of the dominate hash power. Yet even this state machine is reasonably simple, just a few simple equations.
Whereas the state of your system is numerous agents and states. It is not yet clear to me this model can be modeled with some simplifying assumptions. Perhaps you can work with your academic researchers to see if they can.
Yet my design maintains the simple state machine of proof-of-work, while removing virtually all the bandwidth scaling restrictions. You say you can't do 100,000 transactions per second microtransactions. I can easily.
All these grandiose claims of what you have, that seemingly defy proven limits of information theory, yet not an ounce of information to back it up.
If you have it, show it, if you don't want to show it, send me any binding legal document of your choice that protects you, I'll review it, and if you have what you claim, I'll back you up in any arena for the rest of my life. You could even hash whatever document presents your algorithms and timestamp that in the block chain.
Until then, I would suggest a little restraint, because as you have said to me, until it is peer reviewed you don't have anything. If it is proven to be the case that you don't have what you claim, even for legit reasons or oversights, then you are going to have a severe case of egg on face if you don't apply a little humility.
Also you are mis-quoting me, I said its not possible to do 100,000/s of micro transactions on a block chain, that statement may not apply to other architectures.