Triune Harmonic Dynamics and the Universal Convergence Point: Modeling Transformation Across Reality's Three Layers

Overview

This paper presents an integrated framework in which Triune Harmonic Dynamics (THD) defines the Universal Convergence Point (UCP)—a unique fixed point in a coupled three-layer system spanning the atomic, electromagnetic, and scalar domains. At its core, the model equates the KL-barycenter mode with the minimum-action state, creating a direct bridge between information theory and physics that enables new analytical tools, predictive methods, and interpretive frameworks.

The model’s parameter space is anchored to established THD ranges from prior work, then extended to quantify robustness under non-Gaussian and non-ideal conditions. Sensitivity analysis highlights the role of a coupling-strength parameter in determining convergence speed and stability. The framework includes a quantitative, falsifiable testing protocol, and the appendices provide visualizations of layer distributions along with the gradient-descent convergence to equilibrium.

Its falsifiable predictions include:

• A measurable phase shift in atomic interferometry experiments,

• A fifth force with a specific interaction range, and

• Gravitational-wave sidebands and high-frequency strain components.

By linking these measurable effects to a universal fixed-point condition, the framework offers a precise pathway for identifying and maintaining states of natural balance—a capability essential for advancing stability analysis in complex, multi-layered physical systems.