Published January 24, 2026 | Version v1
Preprint Open

Entangled Response Spaces A Minimal Canonical Axiom Set for Cross-System Non-Causal Coupling

Authors/Creators

Description

This paper proposes a minimal axiomatic framework (Canonical Core v2.2) for 
Entangled Response Spaces (ERS) — structured interactions between heterogeneous 
systems exhibiting constrained, statistically stable cross-system responses 
without local causality.

The 8 axioms formalize:
• Heterogeneous state spaces (non-isomorphic)
• Response envelopes with statistical stability  
• Non-causal structural covariance
• Kolmogorov complexity growth (computational emergence)
• Semantic openness (Gödelian non-exhaustibility)

This establishes a timestamped originality anchor for future mathematical, 
computational, and experimental development in non-causal heterogeneous dynamics.

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Entangled_Response_Spaces__A_Minimal_Canonical_Axiom_Set_for_Cross_System_Non_Causal_Coupling22.pdf