The Complete GTE Framework: Standard Model, Gravity, Quantum Mechanics, and Cosmology from PhiMDL

The Standard Model of particle physics contains approximately twenty-five numerical parameters --- gauge couplings, fermion masses, mixing angles, the Higgs sector, the cosmological constant --- treated as measured inputs with no theoretical origin. This monograph presents the complete Generative Triple Evolution (GTE) framework: a derivation of all Standard Model parameters, spacetime structure, quantum mechanics, and cosmology from a single foundational principle with zero free parameters. Perfect Self-Containment (PSC) --- the requirement that a universe have no external selector for its laws --- forces law selection by the Minimum Description Length (MDL) principle. MDL uniquely selects a 19-bit polynomial p (L, C, R) = C+R-CR-LCR over GF (7) as the sole MDL-minimal structure consistent with physical self-containment, with every ZN x ZM alternative eliminated by exhaustive Lean 4 proof. The architecture is two-level. At Level 1, p defines the Chiral Minkowski Cellular Automaton (CMCA): not the physical substrate, but a discrete algebraic certificate --- an arithmetic proof system certifying which structures the field theory must contain. Machine-certified Algebraic Lifting and Descent theorems connect this certificate to the continuum. At Level 2, the physical substrate is PhiMDL: a single Z₇-symmetric Klein-Gordon gauge field on R^ (3, 1) with internal symmetry group F₂1 = Z₇ x Z₃. All matter, forces, spacetime, and quantum mechanics emerge from this one field equation. Elementary particles are BPS topological kink solitons of PhiMDL, carrying Z₇ winding numbers that map exactly to Standard Model quantum numbers. Spacetime geometry is not fundamental but emergent: the Einstein equations are derived from MDL-Lovelock variational principles, and 3+1 dimensions are forced by the Dimensional Protocol Principle (machine-certified). Over 170 quantitative results across 15 prediction sectors are derived and compared against PDG, NuFIT 6. 0, and Planck 2018: nine charged-fermion masses at 0. 295% RMS; the fine-structure constant 1/alpha = 137 as a pure arithmetic identity; the Weinberg angle at +0. 038 sigma after two-loop corrections; the CMB spectral tilt nₛ = 0. 96488 at -0. 005 sigma; and the baryon asymmetry etaB = 6. 109e-10 at +0. 15 sigma. Cross-sector predictions --- cosmological observables derived from the same arithmetic that produces particle masses, with no inter-sector parameter tuning --- distinguish GTE from numerology. The Born rule is derived, not postulated; quantum measurement is resolved via transputation --- a non-computable branch-selection mechanism proved necessary by the Physical Incompleteness Theorem. The cosmological constant problem is resolved: Lambda = 0 classically from Z₇ symmetry, with the observed OmegaLambda in 3pi/14, 0. 6899 bracketed by two independent holographic derivations at +0. 18 sigma. The strong CP problem is resolved without an axion. All four standard inflation motivations are discharged from first principles without an inflationary epoch. GTE makes falsifiable predictions beyond the Standard Model: a dark-sector particle at 211. 9 MeV (Belle II) ; r=0 (LiteBIRD) ; w=-1 exactly (Euclid) ; and thetaQCD=0 requiring no axion. All central results are machine-certified in Lean 4 across nearly 400 modules of the ugp-lean library — all CatAL results independently machine-verifiable (no custom axioms, no proof gaps in any CatAL chain). The Standard Model is not a coincidence. It is a theorem.