Paper T4: Entanglement and Decoherence via Triadic Spin

This paper presents a geometric model of entanglement and decoherence grounded in Holosphere Theory, where particles are composed of triadic spin structures in a discrete, rotating lattice. Each particle is formed from three dark bosons orbiting vacancy defects. Only one boson maintains alignment with a lattice-supported coherence axis, enabling long-range entanglement. The remaining two orbitals decohere when angular phase misalignment exceeds a critical threshold λ. Decoherence is modeled as a structural collapse triggered by exceeding this threshold, with a characteristic timescale τ ∼ ℏ / κ(∆θ)². Temperature is reinterpreted as angular phase variance, T ∝ ⟨(∆θ)²⟩, and collapse propagation follows causal angular strain redistribution. This framework explains why entanglement is directional, fragile under thermal noise, and preserved only within phase-locked coherence corridors. The theory predicts falsifiable signatures such as decoherence plateaus at low temperature, directional dependence of entanglement fidelity, and orbital collapse asymmetries. This work unifies quantum measurement, thermodynamics, and lattice information dynamics under a single principle: angular phase coherence in a memory-preserving rotational medium.