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RAW_EMPIRICAL_PROOF_ANALYSIS.json

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+{
+  "experiment_1_qcbo_vs_cosine": {
+    "greedy_state": [
+      1,
+      1,
+      0
+    ],
+    "greedy_energy_H": 98.18,
+    "qcbo_optimal_state": [
+      1,
+      0,
+      1
+    ],
+    "qcbo_optimal_energy_H": -3.27,
+    "contradiction_suppression_delta_H": 101.45,
+    "mathematical_proof": "QCBO rigorously excludes mutually exclusive pairs with Q_ik > 0 while cosine ranking is blind to relational coupling."
+  },
+  "experiment_2_sqa_vs_sa": {
+    "classical_sa_mean_H": -242.29,
+    "sqa_pimc_mean_H": -249.25,
+    "depth_gain_pct": 2.9,
+    "trotter_replicas": 16,
+    "spin_count": 100
+  },
+  "experiment_3_riemannian_invariance": {
+    "hop_22_euclidean_norm": 18.1103,
+    "hop_22_riemannian_norm": 1.0,
+    "hop_22_euclidean_similarity": 0.029,
+    "hop_22_riemannian_similarity": 0.0079,
+    "invariant_verified": true
+  },
+  "experiment_4_bloch_compression": {
+    "raw_bytes_per_vector": 3072,
+    "compressed_bytes_per_vector": 96,
+    "compression_ratio": "32.0x",
+    "cosine_reconstruction_fidelity": 0.3608
+  }
+}