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 observed 28° is explained as observer displacement from the wave node (δ = 1.82°), and a compound tilt model yields sub-0.1% cross-predictions from a single measured parameter. 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. Three force phases (60°, 5.95°, 3.30°) are derived from the container geometry, and the solar system cavity radius R = 1.000 AU from the Sun's oscillation period and speed of light. The Möbius topology is derived from a deeper 1/3-twist strip (Z₃ identification): an observer at the EM-Weak boundary (60°) samples the strip where e^{iπ} = −1, recovering the Möbius condition as a theorem. The three-phase projection from this position yields Ω_m = 1/3 and Ω_Λ = 2/3. 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%. Ten zero-parameter predictions confirmed, nine within 1%.