| """
|
| 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
|
|
|
|
|
| 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)
|
| 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,
|
| }
|
|
|
