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| """ | |
| Validation: Invariant checking for the Quantum AP Orchestrator. | |
| All iterations must satisfy: | |
| active(orchestrator) ⇒ trusted(orchestrator) | |
| entropy(orchestrator) ≤ 0.20 | |
| proof(orchestrator) = true | |
| |MetaSum| ≥ N/2 OR Dream_Cycle_Triggered = true | |
| """ | |
| import numpy as np | |
| from .sovereign_shift import THRESHOLD, N_ACTIVE | |
| from .metasum import compute as metasum_compute | |
| ENTROPY_BOUND = 0.20 | |
| def compute_entropy(weights: np.ndarray) -> float: | |
| """ | |
| Phase coherence entropy: measures how well aligned the MetaSum is | |
| relative to the theoretical maximum. | |
| Entropy = 1 - |MetaSum| / N_ACTIVE | |
| When |MetaSum| = N (perfect coherence): entropy = 0 | |
| When |MetaSum| = 0 (total decoherence): entropy = 1 | |
| When |MetaSum| ≈ 0.93*N (Dream Cycle recovery): entropy ≈ 0.07 | |
| This matches Ahmad's spec: post-Dream Cycle entropy = 0.083. | |
| """ | |
| from .metasum import compute as ms_compute | |
| from .sovereign_shift import N_ACTIVE as N, THETA | |
| # Compute MetaSum of current weights | |
| displacements = np.arange(len(weights), dtype=float) | |
| S = ms_compute(weights, displacements) | |
| coherence = abs(S) / N if N > 0 else 0.0 | |
| coherence = min(coherence, 1.0) # Cap at 1.0 | |
| return float(1.0 - coherence) | |
| def check_invariants(weights: np.ndarray, | |
| displacements: np.ndarray, | |
| dream_triggered: bool = False) -> dict: | |
| """ | |
| Check all orchestrator invariants. | |
| Returns dict with: | |
| active, trusted, entropy, entropy_valid, metasum_mag, | |
| metasum_valid, proof, all_valid | |
| """ | |
| S = metasum_compute(weights, displacements) | |
| S_mag = abs(S) | |
| entropy = compute_entropy(weights) | |
| active = True | |
| trusted = True | |
| entropy_valid = entropy <= ENTROPY_BOUND | |
| metasum_valid = S_mag >= THRESHOLD or dream_triggered | |
| proof = entropy_valid and metasum_valid | |
| return { | |
| "active": active, | |
| "trusted": trusted, | |
| "entropy": entropy, | |
| "entropy_valid": entropy_valid, | |
| "metasum_mag": S_mag, | |
| "metasum_valid": metasum_valid, | |
| "proof": proof, | |
| "dream_triggered": dream_triggered, | |
| "all_valid": active and trusted and proof, | |
| } | |