V80: CLASH Cluster Environmental Axis Test — Enhanced Robustness Analysis of Dark Matter Phenomenology at Cluster Scales

We present a cluster-scale validation of the Environmental Axis Hypothesis, completing the trilogy initiated in V78 (theoretical framework) and V79 (galaxy-scale test). Using the CLASH (Cluster Lensing And Supernova survey with Hubble) sample of 20 galaxy clusters with independent gravitational lensing and X-ray morphological measurements, we demonstrate that dark matter (DM) concentration correlates strongly with cumulative environmental history (Spearman ρ = 0.902, p < 10⁻⁷) rather than particle properties. The correlation remains robust under mass-controlled partial correlations (ρ_partial = 0.629, p = 0.003), weight-sensitivity tests across 11 configurations, and selection-based subgroup analysis. Data lineage verification confirms that the output variable (NFW concentration from lensing) and input variables (X-ray morphology, spectroscopic redshift) come from physically independent measurement channels, ensuring no circularity. Our results show that the apparent "certainty" of dark matter at cluster scales arises from maximal cumulative environmental history, not from direct evidence of specific particle species. Combined with V79 results (SPARC: ρ = −0.99; LITTLE THINGS: ρ = −0.85; FIRE-2: ρ = −0.97), the Environmental Axis now spans four orders of magnitude in mass—from dwarf galaxies to massive clusters—under a single organizing principle. An Appendix clarifies the interpretational limits of baryonic-feedback-only explanations, showing that feedback event strength alone is an underconstrained variable with respect to observed DM phenomenology. We propose that detecting dark matter effects marks not an endpoint but a starting condition; once established, any viable explanation must account for how their influence is structurally retained across cosmic time. This work suggests that dark matter profiles reflect the accumulated history of space itself, providing a unified framework that transcends the "particle zoo" approach to DM phenomenology.