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April 7, 20260 citationsOpen Access

Causal Nonlocality from Closure: A No-Go for Naive Semantic Locality Under PSC and Diagonal Capability Paper 46 of the NEMS Suite

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NSNova Spivack

Key Points

  • The aim is to explore the constraints of local semantic determinacy under PSC-style closure and diagonal capability.
  • Mathematical proof of no-go for strong factorization locality with local semantic determinacy.
  • Utilization of Lean 4 for mechanization to validate results.
  • Analysis of the implications of the selector-strength barrier.
  • Proven that total-effective local semantic determinacy cannot coexist with strong factorization locality.
  • Demonstrated that asserting local views does not imply superluminal signaling.
  • Results parametric in the fixed-point premise, specifically involving zero axioms.

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 .

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Cite This Study

Nova Spivack (2026) studied this question.

synapsesocial.com/papers/69d49fe5b33cc4c35a228631https://doi.org/10.5281/zenodo.19429810
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