Dimensional Oscillation Theory: A Four-Mode Standing Wave Framework for Fundamental Physics and Cosmology

We present Dimensional Oscillation Theory (DOT), a geometric framework in which reality consists of four standing waves: three spatial modes at 120° separation and one Möbius-twisted temporal mode (gravity). From two proven theorems and five postulates, DOT derives: - Schrödinger equation with exact coefficients (zero free parameters)- Koide lepton mass ratio Q = 2/3 (0.0009% precision)- Cosmological energy budget Ω_Λ = 2/3- Five fundamental constants from two geometric phases (all within 0.25%)- Force unification via gravitational twist projection Tested against 1,665 Pantheon+ Type Ia supernovae:- Gravity-metric redshift model outperforms ΛCDM by 2× in residual scatter (RMS 0.496 vs 1.001 mag)- Gravity twist accounts for 46-66% of apparent Hubble flow (F = 118.2, p ≈ 0)- Blind sky scan recovers gravitational wave axis at p = 1.7 × 10⁻¹⁴- Three spatial axes at 120° align with three CMB anomalies at p < 2 × 10⁻⁵ v2 replaces the original research compilation with a formal paper including complete derivation architecture, statistical summary, and known limitations. Companion papers:- Miller's Wave-Axis Theorem: doi:10.5281/zenodo.18884954- Miller's Phase Position Theorem: doi:10.5281/zenodo.18893194