Add sesion-31 game results: GAME-O (hyperscaling) + GAME-P (recursive identities)

- analysis/games/game_O_results.json: hyperscaling consistency test, η_c=γ-1 (CORRECTED from paper 1's η=2γ), c_central=3 derived from Rushbrooke at γ=0
- analysis/games/game_P_results.json: 8 recursive identities including AM-GM bound γ_susc≥2√2 at γ=1−1/√2, Rushbrooke+Josephson sum identities

These results document the algebraic closure of the bundle H3 hyperscaling relations forcing η=γ−1 (Lévy-derived).

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

analysis/games/game_O_results.json

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+{
+  "verdict": "η_c = γ-1 (Lévy-derived) is correct; η_c = 2γ paper 1 claim is INCORRECT",
+  "c_central_derivation": "c=3 = γ_susc(γ=0) from Rushbrooke or Fisher hyperscaling",
+  "new_identity": "γ_susc(γ) = (3-γ)/(1-γ)",
+  "implications": [
+    "Paper 1 should correct η_c from 2γ to γ-1",
+    "c=3 is NOT just a 'CFT central charge' claim — it is γ_susc at γ=0 derived from hyperscaling",
+    "γ_susc(γ) gives full γ-dependence; c=3 is just the γ→0 limit",
+    "This UNIFIES paper 1 c=3 with the critical exponents framework"
+  ],
+  "status": "★ NEW DERIVATION — paper 2 candidate"
+}

analysis/games/game_P_results.json

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+{
+  "I1.1": "α_C + χ = 2",
+  "I1.2": "γ_susc = χ + 2(1-γ)",
+  "I1.3": "α_C + γ_susc = 4 - 2γ",
+  "I1.4": "α_C + γ_susc + 2β_c = 2 (Rushbrooke + Josephson combined)",
+  "I1.5": "β_c · χ = -1 in Phase A (γ<1)",
+  "I2.1": "(1-γ)·γ_susc − 2(1-γ)² = 1",
+  "I2.2": "γ_susc ≥ 2√2 ≈ 2.828, minimum at γ = 1 − 1/√2 ≈ 0.293",
+  "I2.3": "γ_susc = 3 at γ ∈ {0, 1/2}, 2 roots",
+  "I3.1": "d(ΔH_Cardy)/dγ = 2χ/(1+γ) (D-DEEP-22 reconfirmed)",
+  "I_summary": {
+    "iter1_identities": 5,
+    "iter2_identities": 3,
+    "iter3_identities": 2,
+    "iter4_status": "empirical Llama-2 match likely sink artifact, not γ-min attractor",
+    "iter5_status": "no new identities",
+    "TOTAL_NEW_IDENTITIES": 8,
+    "stop_reason": "marginal gains diminished after ITER 4"
+  }
+}