Is Bell's parameter really a hidden variable ?

[jk22]

In the Ansatz : $$C(a,b)=\int A(a,s)B(b,s)ds$$, is $$s$$ not simply the mute summation index ? In this sense it is not hidden to the experiment.

Then what about an "dummy" hidden variable that is not integrated over :
$$C(a,b)(\phi)=\int A(a,s,\phi)B(b,s,\phi)ds$$

$$\phi$$ were tuned one and for all to match the predictions after all ?

 

[Nugatory]

Whether it's hidden or not is a bit of a red herring, because the logic of Bell's theorem applies to all variables, whether hidden or not. We discuss Bell's theorem in terms of hidden variables only because the other possibility (that quantum mechanical results can be explained using unhidden variables) is already falsified because we don't see any such variables - therefore either they don't exist or they are hidden.

 

[Demystifier]

not simply the mute summation index ? In this sense it is not hidden to the experiment.

How the fact that it is a dummy summation index imply that it is not hidden?