The Geometric Origin of GHZ Violation: A Local Realist Deconstruction via Phase-Loop Interference and Threshold Triggering

### 2. Abstract (Audit Declaration) This research presents a definitive local realist deconstruction of the Greenberger-Horne-Zeilinger (GHZ) violation. Historically cited as the most powerful evidence for quantum non-locality (F=4.0), we demonstrate that this result is a purely geometric and threshold-driven phenomenon. We replace the concept of "entanglement" with "phase-loop closure" and "binarization" with "threshold-triggered detection." ### 3. Core Findings - **Phase-Loop Geometry**: We model GHZ as a closed-loop interference system of three local wave-sources. The zero-sum phase constraint is a direct consequence of the spatial topology, not non-local correlation. - **Chain-Explosion Threshold**: The transition from F=2.0 (linear waves) to F=4.0 (quantum limit) is achieved through a non-linear threshold trigger. This proves that the violation is an artifact of the measurement process, specifically the filtering of low-energy noise. - **Perfect Replication**: Using `ghz_loop_explosion_v19.py`, we demonstrate $F=4.000000$ exactly, matching quantum predictions within a strictly local realist framework.https://github.com/tomnattle/chain-explosion-model