Dimensional Oscillation Theory: A Single-Wave Geometric Theory of Fundamental Physics
Abstract
Dimensional Oscillation Theory (DOT): a single Möbius-topology standing wave in four dimensions reproducing 16 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 of the Möbius topology is identified as a hexagonal bipyramid with self-selecting 30° face angle, which manufactures the topology from simple anti-phase waves through resonant multi-bounce paths. Three force phases (60°, 5.95°, 3.30°) are derived from the container geometry, and the solar system cavity radius R = 1.000 AU is derived from the Sun's oscillation period and the speed of light. Nested bipyramids with scale factor 16/3 predict planetary distances, debris belt boundaries, and the Kuiper cliff. Ten zero-parameter predictions confirmed, nine within 1%; one new testable prediction (bare sin²θ_W = 1/4 at 3–5 TeV).
Fields of Study & Subjects
Pulsars and Gravitational Waves Research
Cosmology and Gravitation Theories
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 16 March 2026
- Document type
- Preprint