Paper 47 Triadic Spin Decoherence and the Emergence of Thermalization and Time's Arrow

This paper presents a structural explanation of thermalization and the arrow of time within Holosphere Theory. Each Holosphere is a hadronic-scale coherence unit (~1 fm) carrying three physically real, orthogonal spin modes. Neighboring Holospheres can remain phase-locked locally, but small admissible phase offsets accumulate across discrete lattice layers. This layer-accumulated drift weakens triadic coherence, redistributing ordered triadic rotation into incoherent angular variance and yielding a thermal-like coarse-grained description. Temperature is defined as a dimensionless structural proxy proportional to neighborhood-scale triadic spin variance. The arrow of time is traced to an asymmetry of the medium: coherence loss proceeds efficiently under local dynamics, while large-scale triadic re-locking across many layers is dynamically suppressed once offsets exceed the admissibility cutoff ε_crit, triggering corridor failure. The resulting framework reproduces thermodynamic analogues (including a second-law direction) without taking microstate-ensemble entropy as a primitive, and it situates the mechanism relative to entropic-gravity interpretations and CMB cold-spot morphology as a coherence-gradient consequence.