chshBound
plain-language theorem explainer
The classical CHSH Bell inequality bound is defined as the real number 2. Quantum foundations researchers cite this constant to mark the classical limit when analyzing Bell test violations. It is introduced via a direct numeric definition to support the subsequent demonstration that quantum correlations exceed this threshold.
Claim. The classical CHSH bound equals $2$.
background
The module derives nonlocality without signaling from ledger consistency in Recognition Science. Entangled particles share ledger entries, enabling nonlocal correlations, while local access preserves no-signaling because readings do not alter distant ledger views. This definition sets the classical CHSH bound to 2. It appears with sibling definitions for EPR pairs, measurements, and quantum correlations, providing the baseline for Bell inequality comparisons. No upstream results are required; the constant is posited directly.
proof idea
This is a direct definition that assigns the value 2 to the CHSH bound in the real numbers.
why it matters
The definition provides the classical threshold used in the bell_violation theorem, which proves that the Tsirelson bound exceeds the CHSH bound and thus that quantum mechanics violates the Bell inequality. It completes the classical side of the CHSH comparison within the QF-006 ledger consistency argument. This supports the framework's explanation that global consistency allows nonlocality without permitting superluminal signaling.
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