Posted on 05/26/2022 2:57:04 PM PDT by BenLurkin
Bell’s theorem states that no theory that incorporates local “hidden” variables can ever reproduce the correlations between measurement outcomes that quantum mechanics predicts. A similar result occurs in the theory of causal inference, where quantum systems likewise defy the rules of classical causal reasoning. The idea behind the causal inference approach is that while a statistical correlation between two variables can arise due to a direct causal relationship between them, the correlation may also contain the contribution of a hidden common cause.
[T]he researchers use a causal model (see image) in which the statistics of variable A influence those of variable B, either directly or by the action of a common source (called Λ) that connects the outcome of both variables even without the presence of a causal link between them. To distinguish between these two scenarios, the researchers perform an intervention on variable A that erases any external influences. This leaves the variable A under the experimenter’s complete control, making it possible to estimate the direct causal link between A and B.
Alternatively, by introducing an additional variable X that is independent of B and Λ, any observed correlations between variables A and B can be decomposed into conditional probabilities. These conditional probabilities place a lower bound on the degree of causal effect between the variables, making it possible to estimate the level of influence between A and B.
The researchers call this lower bound an instrumental inequality, and it is a classical constraint that (similar to the inequality that arises from Bell’s theorem) stems from imposing this causal structure on an experiment. As a result, the degree of quantum causal influence between variables A and B will be less than the minimum required for a classical system, allowing nonclassicality to be observed... even when no Bell inequality violated.
(Excerpt) Read more at physicsworld.com ...
Does typical stochastic modeling account for quantum behaviors?
Quantum kids are an unruly bunch dontchaknow.
Yes, they don’t like early bedtimes and never wash the dishes.
One reason I retired in1985 was that it appeared to me that physics (particularly theoretical physics) was becoming what we now might call “woke” (”beauty” was taking hold)...
I like this paper (yet, hoping the communist Pope wasn’t involved)...
However, relative to the reawakening of those dreaded “hidden variables”, I’d have to ask whether there’s a philosophical connection to Hillary’s memory losses or her funding of the Russia scandal...
I know...I know...
Just the ramblings of an 88-year old Freeper...
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