Paper T15: Simulating Coherence Propagation A Discrete Algorithmic Framework for Holosphere Lattice Dynamics

This paper develops a discrete, classical simulation framework for modeling coher-ence propagation in the Holosphere lattice. Building on prior work that interprets par-ticles as angular phase trajectories constrained by spin-triplet alignment, we implementa set of local update rules that govern how rotational states evolve across the lattice.Each Holosphere is treated as a discrete node with three orthogonal angular axes, andcoherence propagation occurs only when angular strain thresholds are satisfied acrossneighboring nodes. We define a deterministic projection operator to filter incompatibleangular paths and simulate the real-time dynamics of lattice strain, interference, andmeasurement resolution. The resulting framework allows us to explore wave-like in-terference, decoherence, and filtering effects without invoking quantum wavefunctionsor stochastic collapse. This paper presents both the mathematical logic of the updaterules and example lattice structures for simulation. The Holosphere lattice thus pro-vides a basis for algorithmically modeling classical emergence of quantum-like behaviorusing purely mechanical coherence dynamics.