We present the Causal Response Framework (CRF), a zero-free-parameter theoretical program deriving gravity, quantum mechanics, and the Standard Model from three core postulates about objective quantum collapse: the observable universe as a 4D crystallization boundary advancing through a 4+1D bulk, written one Planck-cell layer per tick by a collapse engine whose Born-rule resolution is the source of all dynamics. Headline results (precision predictions within 0. 6σ unless noted): Dark energy as the processing cost of collapse: ΩDE = (4π+1) / (6π+1) = 0. 6835 (0. 2σ) — and the cosmological constant derived: ρDE/ρP = (3ΩDE/8π) (H₀tP) ² = 1. 13×10⁻¹²³, on target, with Λ eliminated as a free constant of nature. The value is the per-cell export quantum of the crystallization budget; the hierarchy (10¹⁷) and the cosmological constant (10⁻¹²³) are both counting statements about the lattice. Cosmology: the Hubble tension resolved at 0. 07σ; σ₈ = 0. 774 resolving the S₈ tension; nₛ = 28/29 (0. 1σ) ; Aₛ, fNL, and |Ωₖ| ≈ 2×10⁻⁵ derived; cosmic age, universe size, and dark-energy equation of state (w₀ ≳ −1, wₐ < 0) parameter-free. The Standard Model: gauge group SU (3) ×SU (2) ×U (1) from crystal mismatch modes, all couplings from Oₕ lattice geometry — αₛ = (√5−2) /2, sin²θW = 3 (√5−1) /16 (0. 24%), 1/αEM = 127. 9 (0. 03%) ; three generations (Jackiw–Rebbi) ; charged-lepton masses to <0. 06%; six quark masses within 0. 25σ; PMNS from the 110 twin boundary; Σm_ν = 0. 059 eV (normal hierarchy) ; ηB = 6. 06×10⁻¹⁰. Foundations: the Born rule derived as a martingale convergence theorem; the collapse operator selected by exhaustive elimination of 21 candidates. New in the v8. 7 series: galactic dynamics with the acceleration scale g* derived (SPARC: 86% equilibrium closure, 100% with dynamics) ; a hadron binding program spanning baryons and mesons (the pion's mass derived from the mirror-drag ladder; registered forward prediction M (Bc*) = 6281–6301 MeV) ; and an electroweak-scale arc generating the Higgs quartic from the resolution cost of the gauge fields — mH = 125. 0 GeV (measured 125. 10 GeV) with zero adjustable parameters, at pre-registered candidate grade pending two named consolidation derivations. Status of this upload. v8. 7. 29 is a working snapshot, posted for timestamp and continuity. The v8. 7. 19–v8. 7. 28 research increments (the meson sector, the constants frontier, the electroweak-scale arc, and the vacuum-catastrophe derivation) are carried in dated closure blocks and changelogs within the document, pending the v9. 0 assembly: migration of these results into the main body with full derivations, correction of superseded body passages, and full integration of the prediction tables and recovery map. All registration timestamps are preserved through the assembly. Questions, comments, and scholarly inquiries related to the Causal Response Framework and its published materials are welcome. Correspondence by email: j. tramonti@causalresponse. org For program context, updates, and navigation across volumes, see https: //www. causalresponse. org. Version History (condensed) v8. 7. 29 (2026-06-11) — Working snapshot of the active research document. Adds (over v7. 0): the complete hadron binding program (baryon linkage formulas, the meson mirror-drag ladder, the pion derivation, the Bc* registration), the cycle-space constants reduction, the superposition-coarse-graining principle, the electroweak-scale arc (Higgs quartic generated; mH = 125. 0 GeV at candidate grade), the global export ledger, and the vacuum-catastrophe derivation. Research increments carried in dated closure blocks pending v9. 0 body assembly. v7. 0. 0 (2026-04-15) — Major revision; all v6. 3. 1 open problems resolved. New first-principles derivations: Aₛ, nₛ, r, fNL, neutrino masses, σ₈, |Ωₖ|, sin²θW, α_κ, χ₀. Error corrections, observational updates, and section rewrites. Full changelog in-document. v6. 3. 1 (2026-04-07) — Errata and formatting only: bibliography added, cross-reference fixes, precision-claim typo (0. 7σ → 0. 6σ). No changes to equations, derivations, or predictions.
Jason Tramonti (Mon,) studied this question.