Validated Recursion Model of Pi from Holon Coherence Dynamics

This paper validates a non-geometric derivation of \pi through recursive coherence dynamics in the Holon field framework. Using log–log regression, spinor feedback Lagrangians, and curved vacuum simulations, it confirms that \pi emerges as a phase locking boundary and resonance stability constant rather than a geometric artifact. The results demonstrate that coherence structure alone can define universal constants, supporting a broader shift toward structural unification in physics