We now extend the single-spin construction to two spin subsystems. The same rotation representation connects intrinsic spin with singlet and triplet sectors once we adopt quantum composition. With the joint quantum measurement rule, we recover the singlet correlations used in Bell tests. This supplies a precise relation within our taxonomy, while exposing a further requirement: a geometric expression for a correlation must be accompanied by a consistent joint probability law.
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Philip Lilien (2026) studied this question.
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