The error is here on slides 11 & 12:
https://docs.google.com/presentation/d/1CjD0W4l4-CwHKUvfF5Vlps76fKLEC6pIwu1a_kC_YRQ/edit?pref=2&pli=1#slide=id.gd284b9333_0_39
As I predicted:
When will the design details of the new PoS system be shared so we know how they plan to scale?
The plans are sufficiently shared already in the numerous presentations and YouTube videos. I know the limits of the range of choices they can possibly choose from. So I know they are stuck up river without a paddle. They will eventually realize this, and then either they will try to shoehorn some crap that creates a Prisoner's Dilemma and breaks Nash equilibrium (such as "transaction receipts") and/or [...]
Again a receipt instead of every validator validating breaks the Nash equilibrium and creates a Prisoner's Dilemma:
I will repeat again for the 10th time in this thread. Every validator must be able to validate the entire history of the lineage of transactions for the shard that validator is responsible for. Otherwise that validator can't be sure it is not going to lose its funds (i.e. electricity for PoW or deposit for the proposed consensus-by-betting) because it approved an invalid transaction due to some lie in the history as trusted but not validated. Combine this with the impossibility of sharding the gas as explained already to you.