The Grand Unification: A Single-Axiom Derivation of 100 Physical Observables from Maximum Entropy Production

We derive the totality of known fundamental physics from a single axiom: Maximum Entropy Production (MEP). No geometric input is assumed. No physical constant is fitted. The theory contains zero adjustable parameters. Via Perelman's entropy-monotonic Ricci flow, MEP uniquely selects the round three-sphere S³ (isomorphic to SU (2) ) as the spatial micro-geometry. The topological action Scell = π²/2 is derived from MaxCal dynamics on S³, generating the universal Boltzmann weight α₀ = exp (−π²/2) ≈ 7. 19 × 10⁻³. The Standard Model gauge group SU (3) c × SU (2) L × U (1) Y emerges from Hurwitz–Cartan octonion completion. Three fermion generations follow from the Adams theorem on S³. The framework produces 100 Level-0 predictions spanning 60 orders of magnitude, including: — The fine-structure constant: α⁻¹ = exp (π²/2) − 2 + 1/55 = 137. 064 (0. 02% deviation) — All nine fermion masses from a single formula mf = cf × M★ × α₀qf, with exponents and prefactors derived from the Dirac spectrum on S³ — The full CKM and PMNS mixing matrices (14/14 parameters from Haar measure and polyhedral holonomy) — The cosmological constant: λΛ = α₀⁵⁶ / (2√3 π²) ≈ 2. 81 × 10⁻¹²² (1. 1% deviation) — The Hubble tension ratio: Hₗocal / HCMB = 1 + √α₀ ≈ 1. 085 (0. 05% deviation) — The dark-to-baryonic matter ratio: Ωc/Ωb = 65/12 = 5. 417 (1. 1% deviation) — The proton mass, neutron–proton mass splitting, Higgs mass, Weinberg angle, and 80+ additional observables Performance: median deviation 0. 88% across 38 continuous observables, with 89% falling below 3% and 50% below 1%. The number π is not a mathematical convenience but the unique self-consistent fixed point of the theory, closing the cycle MEP → Perelman → S³ → π²/2 → α₀ → Standard Model through the gravitational identity π⁶ = 960 × exp₃ (η) (verified to 0. 4 ppm). Seven epistemological stress-tests are addressed with full mathematical proofs (Appendices H–O), covering: the status of the mass anchor M★, the spectral anatomy of α⁻¹, the cosmological coincidence problem, Lorentzian time emergence via Osterwalder–Schrader reconstruction, renormalization scale anchoring, the Lichnerowicz obstruction for neutrinos, and the gravitational self-consistency loop. An additional appendix (P) resolves the black hole information paradox within the framework, predicting a negative linear quantum correction to Bekenstein–Hawking entropy — unique among all quantum-gravity approaches. The paper lists 20 near-term falsifiable wagers testable by DUNE, JUNO, LiteBIRD, CMB-S4, DESI, Euclid, and HL-LHC between 2026 and 2035. Zero free parameters means a single significant discrepancy kills the entire framework.