We present a complete theoretical framework, Binary Flow, in which all fundamental interactions and particles arise from the phase synchronization of a single vacuum frequency ω₀ = 2 mₑ c² / ℏ. The theory is built on three postulates: (1) the vacuum is a coherent phase medium, (2) reality is a projection of a phase field Φ(x, t) onto different geometric axes, and (3) all fundamental constants derive from a single phase angle θ = arcsin(α). We derive a unified Lagrangian that yields the Standard Model particles as quanta of the field’s modes (0◦, 45◦, 180◦), and reproduces the mass hierarchy of fermions (quarks and leptons) with integer phase numbers (n45, n180). We show that coupling constants (electromagnetic, weak, strong, gravitational) are projections of θ, matching experimental values to within 1%. The homogeneous phase equation gives a cosmological solution that explains inflation, dark energy dynamics (w(z) = −1 + (2/3) · d ln ΩΛ / d ln(1+z)), and predicts a unified coupling at high energies. We provide falsifiable predictions for neutrino masses (8–33 meV), the running of the strong coupling, and the acoustic scale of the CMB (ℓ ≈ 220). The theory is minimal, mathematically consistent, and offers a new pathway to quantum gravity.