No Evidence Linking Wasserstein Distance to IIT 4.0 Cause-Effect Structure — E8 Intelligence Research

FINDING: The search returned no substantive link between Wasserstein distance and IIT 4.0 cause-effect structure; results are generic optimal-transport tutorials plus one unrelated IIT education survey. | MATH: Wasserstein-p distance W_p(μ,ν) = (inf_{γ∈Γ(μ,ν)} ∫ d(x,y)^p dγ(x,y))^{1/p}; Kantorovich dual W_1 = sup_{‖f‖_Lip≤1} ∫f d(μ−ν); 1-Wasserstein metrizes weak convergence + first moment. | CONNECTION: None supported by evidence. The only geometric content is the ground-metric d on the underlying space; no 0.382/0.618/1.618, base-60, or lattice structure appears. | DEPTH: 1 Notes on precision: - The claim "KL divergence breaks down when shapes don't overlap" is correct: KL is not a metric (asymmetric, no triangle inequality) and is undefined/infinite for disjoint supports, whereas W_p remains finite and continuous under support translation. This is the actual mathematical content of the tutorials. - IIT 4.0 does use a distance on cause-effect structures (a "structured" distance / in Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com