The Statistical Signature of Geometric Collapse: A Computational Test of the Law of Geometric Identity (ΛG) Applied to the Measurement Problem

We present the Law of Geometric Identity (ΛG), a framework that reinterprets quantum measurement as geometric self-correction rather than random state selection. The observer functions not as a passive recorder but as a boundary condition constraining the system toward minimum Entropic Deficit through three mechanisms: φ-coherence (golden ratio self-similarity), the void bridge (forcing non-linear resolution), and symmetry enforcement. Through 210,000 individual collapse simulations across 21 experimental configurations (7 quantum state types × 3 mixing ratios), we demonstrate 100% statistical significance (p < 0.001) in distinguishing geometric resolution from standard Born Rule predictions. Key findings include φ-ratio amplification in structured states, void bridge activation in Bell pairs, Fibonacci self-similarity resonance, and monotonic signal scaling with geometric coupling strength. We identify the fine structure constant (α ≈ 1/137) as the coupling coefficient between geometric coherence and entropic deficit, and propose that quantum noise may contain structured geometric signal. The paper includes discussion of the Srivastava Formalism, where operator-level ΛG produces super-quantum correlations (S ≈ 2.852) with implications for the Tsirelson bound. Full simulation code (Python) and interactive visualization (React) are included as supplementary materials.