Causal Nonlocality from Closure: A No-Go for Naive Semantic Locality Under PSC and Diagonal Capability Paper 46 of the NEMS Suite
Year: 2026
Type: preprint
Abstract: Under PSC-style closure, stable records, and diagonal capability (Papers 27, 29), one cannot simultaneously hold a strong factorization locality axiom (Paper 45) and local semantic determinacy—that world-type is computed from local views in a total-effective way. We prove a no-go: any such procedure would decide an extensional nontrivial predicate on a diagonal-capable domain and thus contradict the selector-strength barrier. So total-effective local semantic determinacy must fail (factorization can hold). This is semantic nonlocality in the effective sense, without implying superluminal signalling. The result is mechanized in Lean 4 (CausalNonlocality); the barrier witness is parametric in the fixed-point premise (0 axioms). Paper 47 (No Spooky-to-Signal Compiler) builds on this. Trust boundary. The no-go combines Paper 45 factorization with a total-effective local semantic determinacy hypothesis; it does not assert superluminal signalling. Mechanization is nems-lean . See .
Author: Spivack, Nova
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7150220238
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