Paper T3: Particle Identity from Triadic Resonance in Holosphere Theory

In Holosphere Theory, particles are not point-like entities but emergent patterns of angular and radial coherence in a discrete, triadic lattice of spinning Holospheres. This paper develops a coherence-based framework for particle identity, proposing that distinct elementary particles—such as electrons, muons, and tauons—arise from stable triadic resonance structures, each defined by specific radial coherence depths and angular phase locking. These structures are quantized as shell-based configurations with 2, 6, 42, and higher sphere units, corresponding to generational mass and force interaction layers. We show that radial coherence defines the energy scale and inertial mass of the particle, while angular coherence encodes its spin and charge characteristics. Triadic spin emerges as a discrete internal symmetry that unifies these properties. This approach offers a physically grounded alternative to abstract quantum numbers, and suggests testable coherence thresholds and instability conditions for higher-generation or beyond-Standard Model particles.