Structural Self-Energy Expansion (SSEE): A Minimal-Parameter Framework for Dark Energy, the CMB Background and the Hubble Tension from the Golden Ratio φ and π — Complete Ten-Paper Suite

Structural Self-Energy Expansion (SSEE) asks whether the shape of late-time cosmic acceleration is a free parameter to be fitted, or a number fixed in advance by geometry. The framework fixes the dark-energy equation of state algebraically from two dimensionless constants — the golden ratio φ and π — and confronts it, without adjustment, against DESI DR2 and Planck PR4. It is a minimal-parameter framework drawn from a closed structural dictionary. This release supersedes the earlier seven-paper suite: the framework has matured to ten papers plus four consolidated documents, the parameter accounting is now stated honestly as minimal-parameter (only Aₛ and τ are sampled at the CMB level, k = 2 versus 6 for ΛCDM), and the ωₘ-direct reframe has dissolved the former matter-bridge factor. Headline. The dark-energy equation of state follows as bare ratios of structural invariants, w₀ = −0.840 and wₐ = −0.670, with no fitted amplitude. The pre-registered point survives two independent DESI releases: 0.05σ from DR1 and, after the errors tightened, 0.24σ from DR2 (Pantheon+). H₀ = 3(φ+π)² = 67.96 km/s/Mpc is stated as a dimensionless algebraic anchor. A suite-wide master register lists every observable, its sector, the deriving paper, and its epistemic status (postdiction / retrodiction / prediction / measured input). The ten-paper suite (read in the numbered file order): Cover — visual title page of the framework. Paper 1 — Theoretical Framework & Predictive Register: axiomatic foundation; w₀ = −0.840, wₐ = −0.670 from the closed dictionary; register classifying every result as postdiction / retrodiction / prediction. Paper 2 — Bayesian MCMC Validation (BAO & Clusters): DESI DR2 + Planck priors + galaxy clusters. H₀ = 67.95 ± 0.40 km/s/Mpc; ΔBIC = +5.68 over ΛCDM and +5.59 over CPL, favouring SSEE. Paper 3 — CMB Confrontation (Planck PR4): full Cobaya pipeline, ωₘ-direct (Ωₘ = 0.30889). χ²ᵣ ≈ 1.04 spectrum-for-spectrum; ΔBIC = −32.9 (k = 2 vs 6), favouring SSEE by parameter economy. Paper 4 — Algebraic Derivation of Cosmological Parameters: closed algebraic system giving nₛ = 1 − φ⁻⁷ = 0.96556, H₀ = 67.96, and Ωₘ,CMB = 0.30889 from φ and π. Paper 5 — Israel–Stewart Causal Perturbations: causal viscous growth; γ_IS = 0.550; single-sector fσ₈ mean 0.70σ over six RSD surveys; S₈ single-sector ceiling 0.846. Paper 6 — φ-Dark Matter (Two-Sector): mass mφ = 40.70 eV forward prediction; free-streaming k_fs = 0.754 h/Mpc (falsifiable by DESI Y3 / Euclid); S₈ᵉᶠᶠ = 0.758, 0.04σ from KiDS-1000. Paper 7 — Canonical Effective Field Theory: α_T = α_M = α_B = 0, α_K(0) = 0.4033, β_c = −AURA; Bellini–Sawicki functions from φ, π. Paper 8 — Strong-Gravity Regime: canonical-EFT strong-lensing prediction (unconditional); a pedagogical MOND-like limit is retained only for contrast, not as the physical model. Paper 9 — Hubble Tension: f_screen = (π−φ)/(φ+π)² = 0.0673; local H₀ = 72.86 km/s/Mpc, 0.17σ from SH0ES. Paper 10 — UV Completion: K(X) = X/KAL + X²/M⁴, M = 9.68 meV = Λ_SSEE; local H₀ = 73.04, 0.00σ from SH0ES. Consolidated documents: Sealed Journal — the titular, journal-ready document: the falsifiable minimal-parameter test against DESI DR2 and Planck PR4, with the suite-wide master register. Unified Journal — consolidation of Papers 1–10 in a single narrative. Endorser Summary — two-page synthesis for arXiv endorsement. Cover Letter — journal submission cover letter. Source archive — reproducible LaTeX, Python (emcee, CAMB, CLASS), canonical-values file, 142-check verification suite, and the small CLASS Boltzmann configuration files (reproducibility_boltzmann/) needed to reproduce the two-sector S₈ = 0.758 forward prediction against a standard CLASS build. Author: Mike Edison Almeida Vallejo (independent researcher). License CC-BY-4.0.