Paper T31a – Triadic Spin Simulation: Discrete Modeling of Phase-Locked Rotation and Defect Dynamics in the Holosphere Lattice

This paper presents the first computational simulation of real triadic rotation in a coherence-stabilized lattice, completing a theoretical arc developed in Papers T29 and T30 of the Holosphere Theory series. Each lattice site represents a Holosphere rotating on three orthogonal axes, stabilized through elastic angular phase-locking with its neighbors. The simulation implements a discrete update rule to model phase alignment, defect emission, strain propagation, and memory reclosure across a 3D lattice. We track angular misalignment thresholds, topological winding numbers, and rotational strain defects to quantify how coherence is lost, redistributed, and restored. Results confirm that the lattice recovers full 4π rotational closure after perturbation without external correction, validating that triadic spin is a stable, memory-preserving attractor state. The model demonstrates self-healing coherence, emergent strain echo dynamics, and robust topological memory recovery. These findings establish that real triadic rotation is not only mathematically possible but computationally reproducible, opening clear pathways for experimental analogues in Josephson junction arrays, gyroscopic metamaterials, and phase-locked optical cavities.