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 parti
cles—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 num
bers, and suggests testable coherence thresholds and instability conditions for higher-generation
 or beyond-Standard Model particles.