Is Superposition the Explanation for Bell Inequality Violations ?

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SUMMARY

The discussion centers on the implications of superposition in explaining violations of Bell's inequality, specifically the form n[x-y+] + n[y-z-] ≥ n[x+z+]. It asserts that when a particle is measured at detector A with spin up in the y direction, its entangled counterpart at detector B exists in a superposition of spin states in the x and z directions. This challenges the realism assumption of the inequality when detectors are misaligned. The conversation concludes that probability calculations for entangled quantum systems, such as two electrons in a singlet state, inherently involve unaligned detectors, confirming that superposition is essential in understanding these quantum phenomena.

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morrobay
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This form of a Bell inequality: n[x-y+] + n[y-z-] ≥ n[x+z+] is derived from spin measurements
at A and B when detector settings are aligned. If it is correct that when a particle is measured
at detector A and is spin up in the y direction , then its entangled twin at B is in superposition, spin up-spin down in the x and z direction. Then , if so, is the realism assumption in the above inequality invalidated when detectors are not aligned ?
 
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Probability calculations for entangled quantum systems (two electrons in the singlet state for example) violate Bell's inequality. The calculations neccessarily include observations with unaligned detectors since three groups are needed. Superposition is fundamental to unobserved quantum systems. There is no "explanation" for Bell Inequality Violations other than that's what the Math says, and experiments bear it out. (I'm still learning this stuff. We'll see how much trouble I just got in)
 

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