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> it is indeed quite simple to reproduce ... with a local hidden variable theory This is not the whole truth. Bell's inequality assumes a few reasonable assump
by quixoticaxolotl 4y ago
> it is indeed quite simple to reproduce ... with a local hidden variable theory
This is not the whole truth. Bell's inequality assumes a few reasonable assumptions for hidden variable theories besides locality (https://plato.stanford.edu/entries/bell-theorem/ https://plato.stanford.edu/entries/bell-theorem/) and it is true that sacrificing these assumptions can yield a local hidden theory consistent with Bell's inequality / CHSH inequality violations.
But the whole point of these assumptions is that we want them. Bell's inequality is the definitive experimental test that a standard classical theory is not waiting in the wings for us, and those assumptions are central to classical mechanics.
The issue with a theory that sacrifices things like parameter independence or similar is that they will remain mathematical curiosities, much like interpretations of quantum mechanics, because there is no way to test them. And they'd be stranger than quantum mechanics, so you don't get any relief either.
So, yes, you can do this. But it has no practical value. This is not the experiment's fault in any way.
However, if you are arguing that you can have a local hidden variable theory that satisfies all of Bell's assumptions and violates the inequality, then you have some severe issues in your argument somewhere, because it is categorically impossible.
> 60 lines of numpy code
In the event you are arguing for a local hidden variable theory that satisfies all of Bell's other criteria: firstly, there is no guarantee the simulation has any fidelity to the real world at all.
Thankfully, you don't have to settle for simulation. I was fortunate to take 180Q at UCLA, an undergraduate class where we were required to derive the CHSH inequality and perform simple experimental violations by ourselves. The tools needed to run a simple test are commercially available and affordable - you can do it yourself at home.
I was able to achieve experimental violation when I did so back in 2015/2016, and documented the results here:
https://github.com/AkshatM/Physics180Q/blob/master/Final%20Paper/Akshat%20Mahajan%20-%20Physics%20180Q%20Final%20Report.pdf https://github.com/AkshatM/Physics180Q/blob/master/Final%20P...
Of course, if you are arguing we can sacrifice an assumption of Bell's besides locality, then the above is moot. But it would still be rather pointless.