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Published March 7, 2026 | Version v4
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Dimensional Oscillation Theory: Fundamental Physics from a Single Möbius Wave

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We present Dimensional Oscillation Theory, in which all fundamental physics emerges from a single wave with Möbius topology. The Möbius boundary condition selects three harmonic modes at 120° separation as the ground state. From these three modes, the Schrödinger equation is derived as the envelope equation of classical waves — the unique result of linear dispersion cancellation at 120°. Equipartition across the resulting 2+1 degrees of freedom fixes the Koide modulation depth ε² = 2, reproducing the lepton mass ratio Q = 2/3 to 0.0009%. The twist angle φ ≈ 28°, the theory's sole geometric input, determines the electroweak sector: the W/Z mass ratio (0.16% error), the weak coupling constant (0.32%), and through wave geography, the baryonic fraction Ω_b (0.04%), the Weinberg angle sin²θ_W (0.01%), and the fine structure constant α (0.25%) — all with zero free parameters. The Dimensional Scaling Theorem generates 15 additional structural constants. Nine of nine zero-parameter predictions match observation; eight are within 1%.

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Preprint: 10.5281/zenodo.18884954 (DOI)
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