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- TL;DR Summary
- A question about reality

I would like to pose a question (previously posed to DrChinese in a personal message) regarding Bell Locality.

From PeterDonis in another thread:

Quantum theory holds and empirical evidence confirms that the correlation between successive photon polarization measurement outcomes is predicted by

With regard to experimental tests of Bell’s theorem—if we look at the probability of correlation with a hypothetical third measurement we clearly see that the probability depends directly on which of the other two settings we choose to correlate with. There is no need for any of the outcomes to be affected by a distant measurement setting and locality or the lack thereof has nothing to do with the outcomes.

So my question is this: is it possible that Bell locality does not accurately reflect reality? Is it possible that the photon’s polarity exists outside of three dimensional space in an additional, otherwise imperceptible dimension?

From PeterDonis in another thread:

Bell assumes that local realism requires the factorizability of the joint probability function. Most of the efforts to justify this assumption have been directed toward the condition of locality but my question is about realism."Locality" means that the joint probability function for the two measurements factorizes, i.e., schematically,P(A,B|a,b,λ)=P(A|a,λ)P(B|b,λ), where A,B are the measurement results, a,b are the measurement settings, and λ are the hidden variables.

Quantum theory holds and empirical evidence confirms that the correlation between successive photon polarization measurement outcomes is predicted by

**P = cos(θ)²**where θ is the angle between polarizer settings. This equation takes a two dimensional (circular) relationship between measurement settings and projects it onto a single dimension defined by the settings themselves. The probability of correlation between measurements is directly related to the relative distance between their settings on a strait line rather than on a curved arc as a classical observer would expect. All measurement outcomes are therefore dependent on a one dimensional rather than two dimensional relationship between the settings, and the joint probability of correlation between outcomes cannot be factorized. Quantum reality doesn’t allow Bell to factorize the joint probability function and therefore the inequalities derived with that assumption don’t apply to photons.With regard to experimental tests of Bell’s theorem—if we look at the probability of correlation with a hypothetical third measurement we clearly see that the probability depends directly on which of the other two settings we choose to correlate with. There is no need for any of the outcomes to be affected by a distant measurement setting and locality or the lack thereof has nothing to do with the outcomes.

So my question is this: is it possible that Bell locality does not accurately reflect reality? Is it possible that the photon’s polarity exists outside of three dimensional space in an additional, otherwise imperceptible dimension?