Edge-Anchored Coherence at "The Cliff": A Model-Agnostic RCFT/UMCP Reanalysis

What this deposit isThis record contains the paper and fully reproducible artifacts for a measurement-first, model-agnostic reanalysis of the ultra-compact source “The Cliff.” We use Recursive Collapse Field Theory (RCFT) within the Unified Mathematics & Collapse Platform (UMCP) to turn eight observables into survey-quantile channel ranks and then summarize cross-window agreement with edge-weighted invariants in the fixed order (F, C, S, κ, τ_R): F (fidelity): edge-weighted mean rank C (curvature): normalized cross-window scatter S (entropy): mean binary entropy of the ranks (bits) κ (integrity): log-geometric support τ_R (re-entry margin): (F − 0.90)/σ_c, clipped at 0, reported in σ units The Balmer-edge window is pre-registered as a double-weighted hinge. All decisions are made on ranks and fixed gates (Stable/Twin), not on template fits. Why this matters Template SED fits can mimic single bands but often need window-specific tweaks that don’t cohere. RCFT/UMCP instead asks: do the measured windows re-enter a single generator? By working with ranks and edge-weighted invariants, we deliver a portable, auditable verdict on cross-window coherence that transfers across instruments (only the survey CDFs need updating). Reproduce the paper’s numbers (minimal recipe) Load the manifest and survey CDFs (from this deposit). Preprocess each observable xix_ixi to yiy_iyi (linear or log⁡10\log_{10}log10 as specified) and compute the rank ri=CDFi(yi)r_i=\mathrm{CDF}_{i}(y_i)ri=CDFi(yi). Apply direction sis_isi via ci=ric_i=r_ici=ri (support increases with xix_ixi) or ci=1−ric_i=1-r_ici=1−ri (support decreases with xix_ixi). Clip to [0.005,0.995][0.005,0.995][0.005,0.995]. Compute invariants with the pre-registered weights (hinge =2=2=2; others =1=1=1):F,C,S,κ,τRF, C, S, \kappa, \tau_RF,C,S,κ,τR (and optionally ω\omegaω). Gate (Stable/Twin) using full-precision invariants; round only for display. Ops calculus: Expected ΔFi≈wi(1−ci)∑jwj\Delta F_i \approx \frac{w_i(1-c_i)}{\sum_j w_j}ΔFi≈∑jwjwi(1−ci); prioritize windows by ROIi=ΔFi/ti\mathrm{ROI}_i=\Delta F_i/t_iROIi=ΔFi/ti for “coherence per hour.” The same steps are given as pseudocode in the paper’s Appendix G; uncertainty recommendations (delta method + bootstrap) are in Appendix E.