La Résonance du Réel — Théorie Vibratoire H-Laurince Foundations, Validation, and Scope of the Universal Vibratory Function Φ_H = M₁ / M₂

Abstract (English / Français) This bilingual thesis introduces the H-Laurince Vibratory Theory, founded on the universal function \Phi_H = \frac{M_1}{M_2}, where M_1 represents the expanded internal revolution and M_2 the external orbital revolution of a closed physical system. The study demonstrates that the most stable states—whether nuclear, atomic, or planetary—correspond to constant Φ_H ratios within specific harmonic ranges (≈10⁻³ to 1). Numerical validation uses data from NASA (planetary), NIST (spectroscopic), and IAEA (nuclear), confirming that Φ_H acts as a universal invariant of vibratory coherence. Experimental extensions (atomic, orbital, analogic) are proposed to test the falsifiability of the model. The H-Laurince function thus provides a measurable bridge between quantum, relativistic, and gravitational domains, defining stability as harmonic agreement rather than energetic isolation.