Whither All the Scope and Generality of Bell's Theorem?

TL;DR

This paper analyzes the limitations of local-deterministic models in reproducing EPR-Bohm correlations, emphasizing the role of SU(2) tensor representations and clarifying misconceptions about Bell's theorem.

Contribution

It provides a detailed critique of Weatherall's model, demonstrating why models based on SU(2) tensor representations cannot replicate quantum correlations.

Findings

No tensor-based SU(2) model reproduces EPR-Bohm correlations

Clarifies misconceptions about Bell-CHSH inequalities

Shows explicit calculations invalidating Weatherall's approach

Abstract

In a recent preprint James Owen Weatherall has attempted a simple local-deterministic model for the EPR-Bohm correlation and speculated about why his model fails when my counterexample to Bell's theorem succeeds. Here I bring out the physical, mathematical, and conceptual reasons why his model fails. In particular, I demonstrate why no model based on a tensor representation of the rotation group SU(2) can reproduce the EPR-Bohm correlation. I demonstrate this by calculating the correlation explicitly between measurement results A = +1 or -1 and B = +1 or -1 in a local and deterministic model respecting the spinor representation of SU(2). I conclude by showing how Weatherall's reading of my model is misguided at best and bring out a number of misconceptions and unwarranted assumptions in his imitation of my model, as it relates to Bell-CHSH inequalities.