Back to partitions, I've read about sharding today, the post was written by Vitalik and it describes exactly what is being implemented. It said clearly that if a call from one transaction group is made to another transaction group it would produce "out of range" exception. Its not clear to me why you even discuss the possibility of such calls that would be executed.
Review the upthread discussion of the impossibility of sharding the gas.
Why do I have to repeat myself? You claim to be a programmer of 10 years. You can't remember what you read 2 pages ago in the thread

The second thing I did I watched an interview with Vitalik where he said that in Ethereum 2.0 they are thinking about getting away from every node executing every transaction. In a paper you quoted before exactly such solution is described with double decker blockchain where one layer is used to simply store the state. This seems to be the exact solution they are going to adopt.
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. Come this with the impossibility of sharding the gas as explained already to you. The white paper you referred to is for a crypto currency, thus there is no gas (from other shard) that must be atomic with the execution of the sharded script (as was explained to you upthread!).
need_war you need to understand that there are no problems in computer science that can't be solved.
False. Make the Halting Problem decideable.
Please don't insult my superior intelligence and experience again with your (ostensibly not even freshman level) learning curve (and the inability to remember the famous Halting problem from freshman CompSci at the university).
Anybody that is claiming to have superior intelligence by definition has no intelligence at all. There those that raised 18 million dollars and develop real stuff and those that spend their entire days on this forum hoping that whatever more intelligent one's(or should I say more lucky one
) do won't work. I will let you sink in your own misery Mr. Superior