taf-attention-decay / analysis /games /game_P_results.json
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Add sesion-31 game results: GAME-O (hyperscaling) + GAME-P (recursive identities)
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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"
}
}