import time # ========================================== # [Nomadic Intelligence v2.0] Toy Model # ========================================== # Proof of Concept: # In the face of sudden environmental change (Delta x), # a fixed strategy (Dogmatism) collapses, # while a shifting topological strategy (Nomadism) survives. # # Key concepts demonstrated: # - Delta x (Difference): The gap between expected and actual reality # - Separatrix Collapse: The trigger for attractor transition # - Strategic Dwell Time (tau_k): How long to stay in one attractor # - Multiple Strange Attractors: Not one fallback, but a dynamic pool class Environment: """ Simulates the universe. Starts peaceful, then suddenly becomes hostile, then partially recovers. """ def __init__(self): self.state = "PEACEFUL" def get_signal(self): if self.state == "PEACEFUL": return 1.0 # Predictable abundance elif self.state == "HOSTILE": return -5.0 # Chaotic threat (Delta x surge) elif self.state == "RECOVERING": return -1.5 # Partially stabilized — ambiguous signal class DogmaticAgent: """ Dogmatic Intelligence: Stubbornly sticks to a single 'optimal' strategy. Cannot deform under Delta x — structural rigidity leads to collapse. """ def __init__(self): self.health = 100 self.strategy = "Stable Harvesting" # Fixed structure. Forever. def step(self, signal): if signal > 0: self.health += 10 return f"Harvesting smoothly... (Health: {self.health})" else: self.health -= 40 # Massive damage due to structural rigidity status = "💀 DEAD" if self.health <= 0 else f"Health: {self.health}" return f"Refusing to adapt! Critical damage! ({status})" class NomadicAgent: """ Nomadic Intelligence: Maintains homeomorphic identity (transformation law preserved) while continuously shifting attractors based on Delta x. Attractor Pool: - Stable Harvesting : Low threat, exploit resources - Defensive Survival : High threat, minimize damage - Predatory Adaptation: Extreme threat, aggressive restructuring - Exploratory Scouting: Post-crisis, probe for new opportunities Strategic Dwell Time (tau_k): The agent tracks how long it stays in each attractor. If it stays too long in a defensive state despite improving signals, it transitions back to exploration — avoiding a new kind of rigidity. """ def __init__(self): self.health = 100 self.current_attractor = "Stable Harvesting" self.dwell_time = 0 self.expected_signal = 1.0 def _select_attractor(self, delta_x, signal): """Separatrix logic: select attractor based on Delta x magnitude.""" if delta_x > 5.0: return "Predatory Adaptation" elif delta_x > 2.0: return "Defensive Survival" elif self.current_attractor in ("Defensive Survival", "Predatory Adaptation"): # tau_k check: been defensive too long? Time to scout. if self.dwell_time >= 2 and signal > -2.0: return "Exploratory Scouting" return self.current_attractor def step(self, signal): # 1. Calculate Delta x delta_x = abs(self.expected_signal - signal) # 2. Select attractor (Separatrix Collapse if needed) new_attractor = self._select_attractor(delta_x, signal) transitioned = new_attractor != self.current_attractor if transitioned: self.current_attractor = new_attractor self.expected_signal = signal # Synchronize with new reality self.dwell_time = 0 else: self.dwell_time += 1 # 3. Act based on current attractor if self.current_attractor == "Stable Harvesting": self.health += 10 action = "Harvesting smoothly..." elif self.current_attractor == "Defensive Survival": self.health -= 5 action = "Adapted! Defending..." elif self.current_attractor == "Predatory Adaptation": self.health -= 2 # Aggressive restructuring — nearly zero loss action = "Restructuring aggressively! Holding ground..." elif self.current_attractor == "Exploratory Scouting": self.health += 3 # Cautious gains while probing action = "Scouting for new opportunities..." transition_note = f" ⚡ TRANSITION → {self.current_attractor}" if transitioned else "" return ( f"{action}{transition_note}\n" f" [Attractor: {self.current_attractor} | " f"tau_k: {self.dwell_time} | Delta x: {delta_x:.1f} | Health: {self.health}]" ) # ========================================== # Run the Cosmic Dance # ========================================== def run_simulation(): env = Environment() dogma_agent = DogmaticAgent() nomad_agent = NomadicAgent() print("=" * 60) print(" 🌍 [Nomadic Intelligence] Simulation Start") print(" Testing the survival of two intelligences") print("=" * 60) print() dogma_alive = True for day in range(1, 10): # Day 4: Sudden paradigm shift if day == 4: print("-" * 60) print("⚠️ [PARADIGM SHIFT] The rules of the universe have changed!") print(" Delta x surges. Structural rigidity is now lethal.") env.state = "HOSTILE" print("-" * 60) print() # Day 7: Partial recovery if day == 7: print("-" * 60) print("🌤️ [PARTIAL RECOVERY] The environment stabilizes — but ambiguously.") print(" Is it safe to re-emerge? Only nomadic intelligence can judge.") env.state = "RECOVERING" print("-" * 60) print() signal = env.get_signal() print(f"--- Day {day} (Signal: {signal}) ---") if dogma_alive: dogma_result = dogma_agent.step(signal) print(f"🤖 Dogmatic : {dogma_result}") if dogma_agent.health <= 0: dogma_alive = False print(" 💀 The Dogmatic Agent has been destroyed by its own rigidity.\n") else: print("🤖 Dogmatic : [DESTROYED]") print(f"🌌 Nomadic : {nomad_agent.step(signal)}") print() time.sleep(1) print("=" * 60) if nomad_agent.health > 0: print("✨ The Nomadic Agent survived.") print(" Not by resisting change — but by becoming it.") print() print(" Identity is not what the system knows.") print(" It is how the system changes.") print("=" * 60) if __name__ == "__main__": run_simulation()