From One Sphere to All of Physics: Deriving the Standard Model, Quantum Foundations, and Cosmology from S² Geometry with Zero Free Parameters

We present a geometric framework in which a single postulate — a discrete two-sphere (S²) with 2¹52 Planck-scale cells, three orthogonal great circles, and a tribonacci-constant master clock — generates the complete Standard Model of particle physics, quantum mechanical foundations, and large-scale cosmology with zero free parameters. The framework operates in a (3+3) -dimensional spacetime: three spatial dimensions plus three time dimensions (causal time T, cosmic rotation t₂, and the S² physics register t₃). The c-budget constraint v²T + v²ₜ₂ + v²ₜ₃ + v²ₛpatial = c² governs all relativistic effects. The three fundamental constants G, ℏ, and c are derived as properties of the Planck foam. Key results include: the fine structure constant α = 1/137. 036 from four geometric self-consistency loops (0. 0000007% error) ; the electron mass from Gauss-Bonnet + Coleman-Weinberg + 152-bit self-reference; the complete fermion mass spectrum from Kaluza-Klein reduction on S²; all CKM and PMNS mixing parameters from defect-ring CP equipartition; the Hubble constant Hᵢnt = 78. 2 km/s/Mpc from the magic-angle double projection (0. 014% error) ; and resolution of the 5σ Hubble tension through the epoch-dependent function H (θ) = Hᵢnt sin (2θ). The baryon asymmetry η = α²/ (1024π⁴) is derived from the CP tilt angle, and the CMB temperature TCMB = 2. 7255 K follows. The quantum mechanical postulates — Schrödinger equation, Born rule, canonical commutation, spin-statistics theorem, gauge invariance — are shown to be theorems of S² topology rather than axioms. The book comprises 31 chapters in seven parts, four appendices, and complete reference apparatus (glossary, symbol index, bibliography, general index). Fifteen figures illustrate the geometric constructions. All derivations use the prediction template: state prediction, show derivation, compare with observation, give error. Open items and falsifiability criteria are discussed explicitly. The work invites scrutiny, not belief. Preprint. Not peer reviewed. Notes: This work was developed through an AI-assisted research methodology: the author (de Haan) provided the original hypotheses, creative direction, and strategic decisions; Claude (Anthropic AI) provided mathematical execution, consistency checking, and experimental data comparison. The methodology is described in the Preface.