mirror of
https://github.com/allaunthefox/Research-Stack.git
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235 lines
11 KiB
Python
235 lines
11 KiB
Python
#!/usr/bin/env python3
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"""
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Φ_universal Priority Alert — Targeted P0 Directive
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Issues a specific P0 CRITICAL alert requiring the swarm to prove or refute
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the Universal Field equation (Φ_universal) — the foundational equation
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that was MISSING from the system.
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"""
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import sys
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import json
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import sqlite3
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from datetime import datetime, timezone
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from typing import Dict, Any
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sys.path.insert(0, '/home/allaun/Documents/Research Stack/tools')
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from lean_unified_shim import SwarmAPISystem
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def issue_phi_universal_alert() -> Dict[str, Any]:
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"""
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Issue P0 CRITICAL alert specifically for Φ_universal verification.
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This is the targeted follow-up to the general math foundation audit.
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"""
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api = SwarmAPISystem()
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timestamp = datetime.now(timezone.utc).isoformat()
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alert_content = """
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╔══════════════════════════════════════════════════════════════════════════════╗
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║ Φ_UNIVERSAL P0 CRITICAL ALERT ║
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╚══════════════════════════════════════════════════════════════════════════════╝
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TARGET: EQUATION #0 — Φ_universal (Universal Field)
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STATUS: 🚧 P0 CRITICAL — CONJECTURE (UNPROVEN)
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DATE: {timestamp}
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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THE EQUATION
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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Φ_universal = Σᵢ wᵢ·lnNᵢ - Σⱼ vⱼ·lnNⱼ [CORRECTED: Cost form matches Landauer]
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= Σᵢ wᵢ·hᵢ/lnNᵢ - Σⱼ vⱼ·pⱼ/lnNⱼ [Efficiency form]
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NOTE: Previous formulation wᵢ/lnNᵢ has been CORRECTED to wᵢ·lnNᵢ
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Landauer: E_min = k_B T ln N — Cost increases with alphabet size N
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Where:
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• wᵢ = informational weight (constructive terms)
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• vⱼ = entropic weight (destructive terms)
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• Nᵢ, Nⱼ = node cardinalities (state space sizes)
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• hᵢ = merit coefficient = qualityᵢ/lnNᵢ (efficiency per unit cost)
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• pⱼ = penalty coefficient = disorderⱼ/lnNⱼ (inefficiency measure)
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CORRECTION: hᵢ = 1/(lnNᵢ)² was mathematically inconsistent with Landauer
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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CRITICAL FINDINGS
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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⚠ MISSING: This equation was NOT in MATH_MODEL_MAP-42126.md
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⚠ FOUNDATION GAP: All 88+ Lean modules depend on this being correct
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⚠ STATUS: Documented but UNPROVEN (conjecture status)
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The Principal Investigator has identified this as a potential deep fault
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in the mathematical foundations. The swarm must PROVE or REFUTE.
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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REQUIRED PROOFS (Triumvirate Assignment)
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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BUILDER → manifold_reg (ADD clock)
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────────────────────────────────────
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□ Implement phiUniversal in Lean (Q16_16 fixed-point)
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□ Create structure UniversalField with all components
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□ Define both forms: reciprocal-log and weighted-log
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WARDEN → stark_trace & warden_valid (SUBTRACT clock)
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──────────────────────────────────────────────────────
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□ Prove equivalence: phiUniversalReciprocal = phiUniversalWeighted
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□ Verify convergence for all N ≥ 2
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□ Check numerical stability in Q16_16
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□ Validate boundary conditions (N→2, N→∞)
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JUDGE → heatsink_halt (PAUSE clock)
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───────────────────────────────────
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□ Adjudicate proof completeness
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□ Verify no 'sorry' remains in committed code
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□ Confirm cross-consistency with Φ_genomic
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□ Approve or reject for system-wide deployment
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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DEPENDENT SYSTEMS (All Blocked Pending Proof)
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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• Genomic Compression (Φ_genomic specialization)
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• Cognitive Load (L_I, L_E, L_G)
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• AVMR Framework (field equations)
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• Compression Mechanics
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• Entropy-Based Routing
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• All 88+ OTOM modules
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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LEAN SPECIFICATION TEMPLATE
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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namespace Semantics.UniversalField
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open Semantics.Q16_16
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structure UniversalFieldParams where
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n m : Nat -- Dimensions
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w : Fin n → Q16_16 -- Informational weights
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v : Fin m → Q16_16 -- Entropic weights
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N : Fin n → Nat -- Info node cardinalities
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M : Fin m → Nat -- Entropy node cardinalities
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h : Fin n → Q16_16 -- Harmonic coefficients
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p : Fin m → Q16_16 -- Penalty coefficients
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def phiUniversalReciprocal (params : UniversalFieldParams) : Q16_16 :=
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-- Σᵢ wᵢ/lnNᵢ + Σⱼ vⱼ/lnNⱼ
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sorry
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def phiUniversalWeighted (params : UniversalFieldParams) : Q16_16 :=
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-- Σᵢ wᵢ lnNᵢ hᵢ - Σⱼ vⱼ lnNⱼ pⱼ
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sorry
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theorem phiUniversalEquivalence (params : UniversalFieldParams) :
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phiUniversalReciprocal params = phiUniversalWeighted params := by
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sorry
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theorem phiUniversalNormalization (params : UniversalFieldParams)
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(hw : ∑ i, params.w i = 1) (hv : ∑ j, params.v j = 1) :
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phiUniversalReciprocal params ≤ 1 := by
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sorry
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end Semantics.UniversalField
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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SUCCESS CRITERIA
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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✓ All four theorems proven with complete formal proofs
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✓ Q16_16 implementation verified numerically stable
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✓ Cross-reference with Φ_genomic validated
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✓ No 'sorry' in committed code
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✓ Triumvirate consensus reached (Builder ✓ Warden ✓ Judge ✓)
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━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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SWARM DIRECTIVE: PROVE OR REFUTE. NO INTERMEDIATE STATE ACCEPTABLE.
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The mathematical integrity of the entire OTOM system depends on this.
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""".format(timestamp=timestamp)
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# Store in priority_alerts table
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if api.conn:
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cursor = api.conn.cursor()
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cursor.execute("""
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CREATE TABLE IF NOT EXISTS priority_alerts (
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entity_id TEXT PRIMARY KEY,
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subject TEXT,
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name TEXT,
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statement TEXT,
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proof_status TEXT,
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formal_status TEXT,
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priority TEXT,
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requires_immediate_action BOOLEAN,
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created_at TEXT
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)
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""")
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cursor.execute("""
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INSERT OR REPLACE INTO priority_alerts
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(entity_id, subject, name, statement, proof_status, formal_status,
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priority, requires_immediate_action, created_at)
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VALUES (?, ?, ?, ?, ?, ?, ?, ?, ?)
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""", (
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f'PHI_UNIVERSAL_P0_{timestamp.replace(":", "_")}',
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'critical_audit',
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'[P0] Φ_universal Verification Required',
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alert_content,
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'conjecture',
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'needs_formalization',
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'P0',
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True,
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timestamp
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))
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api.conn.commit()
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return {
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'success': True,
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'alert_type': 'Φ_universal P0 Critical',
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'timestamp': timestamp,
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'equation': 'Φ_universal = Σᵢ wᵢ/lnNᵢ + Σⱼ vⱼ/lnNⱼ',
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'status': 'ALERT_INJECTED_INTO_SWARM'
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}
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else:
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return {
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'success': False,
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'error': 'Database not connected',
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'alert_printed': True
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}
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def main():
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print("="*70)
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print("Φ_UNIVERSAL TARGETED ALERT")
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print("="*70)
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print()
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result = issue_phi_universal_alert()
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if result['success']:
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print(f"[✓] {result['alert_type']}")
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print(f" Timestamp: {result['timestamp']}")
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print(f" Equation: {result['equation']}")
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print(f" Status: {result['status']}")
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print()
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print("="*70)
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print("The swarm has been notified of the specific Φ_universal")
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print("verification requirement. Triumvirate is activated.")
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print("="*70)
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else:
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print(f"[✗] Error: {result.get('error', 'Unknown')}")
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if result.get('alert_printed'):
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print("Alert content logged to console.")
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return result
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if __name__ == '__main__':
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main()
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