pith. sign in
module module moderate

IndisputableMonolith.Quantum.NonlocalityNoSignaling

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The NonlocalityNoSignaling module supplies definitions for EPR pairs and associated quantum structures to formalize nonlocality without signaling inside the Recognition Science cost framework. Researchers working on quantum foundations or ledger-based entanglement would cite it when linking shared ledger entries to correlation bounds. The module consists entirely of definitions and declarations built on the imported Constants and Cost modules.

claimAn EPR pair consists of two entangled particles $A$ and $B$ sharing a ledger entry; the module introduces $quantumCorrelation$, $chshBound$, $tsirelsonBound$, the no-signaling theorem, and related objects in the RS-native units with $ au_0 = 1$ tick.

background

Recognition Science derives all physics from the J-cost functional equation and the forcing chain T0-T8. This module imports the RS time quantum $ au_0 = 1$ tick from Constants and the cost machinery from Cost. It operates in the quantum domain and introduces sibling declarations for EPRPair (two entangled particles A and B), Measurement, quantumCorrelation, chshBound, tsirelsonBound, bell_violation, no_signaling_theorem, reduced_density_unchanged, ledger_explains_nonlocality, SharedLedgerEntry, reading_is_local, and no_signaling_reasons.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The module supplies the quantum nonlocality definitions that support ledger-based accounts of entanglement and Bell-type correlations. It connects to the Recognition Composition Law and the eight-tick octave while preparing the ground for any future parent theorems on how the shared ledger enforces no-signaling.

scope and limits

depends on (2)

Lean names referenced from this declaration's body.

declarations in this module (17)