Unified Origin Theory (Ou): Theoretical Foundations and Effective Lagrangian

AbstractThe Unified Origin (Ou) Theory proposes a framework based on a single postulate to link gravitation and quantum physics. The vacuum is described as a discrete vibrational substrate composed of fundamental Ou points that vibrate coherently in three orthogonal directions at the speed of light, which explains the universal invariance of c. Two foundational quantities — a reference energy scale per Ou point, associated with the Planck frequency, and a fundamental dimensionless constant that fixes the fraction of vacuum energy manifested as mass — allow the derivation of natural units of energy, mass, time, length, action, charge, and gravity, together with a universal quantization principle. A coherence factor Γ(xμ), which quantifies the phase alignment of the vacuum, defines an effective conformal metricg̃μν = Γ² gμν,where gμν is the background spacetime metric, reproducing Newtonian and Einsteinian gravitation in their respective limits. The general dynamics are obtained from a covariant Lagrangian that unifies gravitation and quantum structure within a single variational principle, ensuring geometric consistency and experimental falsifiability.The framework naturally regularizes vacuum divergences, explains galactic rotation curves, gravitational lensing, and cosmic expansion without dark matter or dark energy, and offers falsifiable predictions through PPN parameters, Γ–redshift correlations, and GRB observations.The Ou framework offers a conformal and falsifiable reinterpretation of gravitation, recoverable as a limit of General Relativity and directly testable through coherent-field experiments.Keywords: unification; discrete vacuum; natural units; coherence factor; conformal metric; covariant Lagrangian; emergent gravitation.