Unified Harmonic Field Theory: A Geometric and Spectral Synthesis of Subatomic Constants

The fundamental relationship between energy and matter is often expressed through complex units and exponential powers. This paper presents a critical analysis of the current unit systems and investigates whether a more intrinsic, power-free mathematical relationship exists between light and atomic particles.
A central point of inquiry is the constant $C^2$ in the equation $E=mc^2$. Conventional physics relies on the numerical value of approximately $9 \times 10^{16}$ to balance this equation within the SI system. This research demonstrates that through proper mathematical review, these values can be analyzed without traditional power-based units, suggesting a different internal structural change during particle creation.
The study also challenges the standard perception of the visible spectrum. While traditional optics identifies three primary colors (Red, Green, Blue), the mathematical models presented here suggest a four-color primary system, categorized into three distinct tiers: $T-1$ (Red, Orange, Yellow), $T-2$ (Green, Cyan, Blue), and $T-3$ (Violet). By utilizing a constant photon energy of $1.24 \text{ eV}$ and a derived quantum constant $L=0.413334$, this article explores the geometric area of wavelengths as triangular fields. The following sections detail the interconnected formulas that unify these optical observations with atomic constants.