Harmonic Phase-Locking and Coherence Dynamics in TRAM: Analog Modeling of Time-Crystalline Structures in Cosmological Scalar Fields

This research article presents a classical scalar field formulation of the Triadic Resonance Aether Model (TRAM), proposing that gravitational and inertial phenomena emerge from nonlinear harmonic coupling and phase coherence between two coupled scalar fields. The model includes spontaneous symmetry breaking, phase-locking dynamics, and a formal observer-dependent phase selection operator. Key contributions include dimensional analysis, numerical simulations, and proposed experimental pathways using atomic clocks, lunar recession measurements, and gravitational wave detectors. This work aims to bridge classical coherence dynamics with quantum time-crystalline analogies and offers falsifiable predictions for cosmological coherence phenomena.<br>