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

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.

Keywords

structural covariance, category theory, computational emergence, undecidability, non-causal systems, response envelopes, semantic openness, Kolmogorov complexity, heterogeneous systems, entangled response spaces

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