Paper T3: Particle Identity from Triadic Resonance in Holosphere Theory

Holosphere Theory models elementary particles as persistent coherence structures in a discrete, rotating lattice of angular degrees of freedom. Paper T3 operates at the identity layer: it formalizes what it means for a particle to exist and persist in a gate-limited coherence medium, without attempting to derive numerical mass spectra or replace established effective field theories. A particle is defined as a transport-stable triadic resonance that closes under a coherence gate, remains viable under radial transport with bounded drift, and retains a positive stability margin against collapse. This contract is summarized by an identity tuple separating angular invariants—closure parity (spin class) and oriented circulation (charge channel)—from radial invariants governing mass scale and lifetime through strain accumulation. Within this framework, mass is interpreted as a retained coherence budget rather than an intrinsic label, while lifetime corresponds to time-to-gate-breach under perturbation. Small mass splittings between near-degenerate identities are naturally associated with thresholded internal radiation channels in a confined coherence scaffold. In particular, an empirical lane is retained in which nucleon mass differences arise from internal Cherenkov- and Bremsstrahlung-like processes that are reabsorbed and phase-locked, yielding stable dimensionless residues rather than radiative loss. Paper T3 emphasizes falsifiability and program-level reproducibility. Using audit-grade reconstruction of the Weihs time-tag archives, we identify a regime in which the CHSH-maximizing detector sign map is invariant across coincidence policies and tight coincidence windows. This policy-independent invariant is interpreted as an operational identity signature that persists under strong coherence gating and collapses once gating weakens. All reported results are generated directly from declared programs, not from static tables, providing a concrete testbed for identity as a governed coherence contract.