Bayesian Priors and Quantum Mechanics

I was reading The Quantum Times, and it occurred to me that much of the stuff about Alice and Bob sharing a Quantum State, and then Alice changing Bobs particle by measuring hers, strikes me as counter-intuitive. It seems to require non-locality, that spooky action at a distance. Now I see two ways of getting out of this mess.

Way 1: The entangled state is entirely local to itself. That is it appears to spread out in our space-time, but that’s an artifact with out its space interacts with the rest of the universe. That is an entanglement is a single point-like particle in so other space, but its intersection with our space gives it the appearance of a spread-out wavefunction.

Way 2: Perhaps there is an analogy with Bayesian Priors. That is Alice and Bob share a joint Prior, but neither has direct access to it. When measuring one side of the Prior, the measurements on the other side correlate with the outcome of the measurement, regardless of what that measurement ‘might have done to the wavefunction’. That is, the Prior doesn’t need to be adjusted, and it cannot be used to transmit information. This doesn’t get rid of the action at a distance, but it might serve as a better way of thinking about the underlying physics. More research is necessary to see if this analogy holds water.

There is a third way mentioned in the article. Modify logic so that its axioms behave appropriately. Some will have an easier time at this than others, but as far as the symbology in doing calculation goes, it probably isn’t that big of an adjustment; Besides which, a good creative mathematician ought to be able to use any system of logic, as long as it’s consistent and powerful.