Six-Dimensional Geometric Field Theory: A Complete Derivation from Two Topological Axioms

We present the Six-Dimensional Geometric Field Theory (SDGFT), a deterministic framework that derives the entirety of known fundamental physics - including particle masses, coupling constants, cosmological parameters, and the gravitational action - from exactly two rational numbers originating in the topology of the 24-cell polytope 3, 4, 3, the unique self-dual regular polytope in four dimensions. The theory is built upon two fundamental axioms: The Fibonacci-lattice conflict ΔF = 5/24 The elementary lattice tension δg = 1/24 These axioms propagate through a seven-level derivation hierarchy that yields 89+ observables with zero adjustable parameters, achieving a χ²/ndof = 1. 48 against the PDG 2024 data set. A central role is played by the Kinemato-Geometric Equation (KGE), which introduces a natural time duality: observer time (tpov = p² = ma−4) and system time (tsys = 1/p² = a⁴/m). Their product is an exact invariant (tpov · tsys ≡ 1). This duality provides the dynamical mechanism behind baryon-number freeze-in, dark energy (wDE = −67/72 ≈ −0. 931), and the protection of primordial observables against cosmic evolution. Key predictions and results include: Particle Physics: Derivation of exactly three fermion generations (Ngen = 3), the fine-structure constant (αem−1 ≈ 137. 0), and the Higgs boson mass (mH ≈ 124. 9 GeV) Cosmology: A tensor-to-scalar ratio r ≈ 0. 013, an isocurvature fraction βiso = 1/36, and a neutrino mass sum Σmν ≈ 0. 058 eV Modified Gravity: A unique f (R) = R67/48 power-law action with a predicted growth index γgrow ≈ 0. 41 To ensure scientific rigor, we state five explicit falsification bets with predetermined significance thresholds. Any single discrepancy at > 3σ in upcoming experiments (e. g. , Euclid, LiteBIRD, KATRIN) will refute the theory. We provide all derivations in closed form, leaving no free parameters and no logical gaps.