Dimensional Oscillation Theory: A Single-Wave Geometric Theory of Fundamental Physics

Dimensional Oscillation Theory (DOT): a single Möbius-topology standing wave in four dimensions reproducing 17 structural constants of physics with zero free parameters. The twist angle φ = 30° is derived from the Dimensional Scaling Theorem (cos²φ = d/N = 3/4). The observer sits at 62° on a Z₃ (one-third-twist) strip — offset by δ ≈ 2° from the anti-gravity node. This single coordinate determines the fine structure constant (0.3%), the Weinberg angle (0.03%), and the baryonic fraction (0.03%) through geometric projection; any one measurement predicts the other two. An exact algebraic identity proves gravity equals the EM–Weak amplitude asymmetry. The EM tilt angle θ = π/8 resolves the Hubble tension: H₀(local) = 67.4/cos(22.5°) = 72.95 km/s/Mpc (0.12% error). The complete energy budget decomposes into a 2×2 table (structure/medium × visible/dark) governed by two derived numbers. The geometric origin is a hexagonal bipyramid with self-selecting 30° face angle. The Möbius topology is derived from the deeper Z₃ strip: an observer at 60° samples the strip where e^{iπ} = −1, recovering the Möbius condition as a theorem. The DST ratio 4/3 extends to chemistry: Compton frequencies of all 92 natural elements map onto a 4/3 ladder from hydrogen, and chemical bonds correspond to musical intervals — CO₂ is a perfect fourth (0.1%), water is four octaves (0.8%), with 36/36 bonds matching within 5%. The coupling constants are not free parameters — they are projections of where the observer stands.