from __future__ import annotations from typing import Callable, List, Any, TYPE_CHECKING try: import numpy as np from scipy.fft import fft from scipy.stats import norm from scipy.integrate import trapezoid HAS_NUMPY = True except ImportError: np = None # Graceful degradation if scipy not installed HAS_NUMPY = False def information_energy_duality(omega: float, entropy: float, eta: float = 1.0, hbar: float = 1.054571817e-34) -> float: return hbar * omega + eta * entropy def von_neumann_entropy(rho: np.ndarray) -> float: evals = np.linalg.eigvalsh(rho) evals = evals[evals > 0] return -np.sum(evals * np.log(evals)) def reinforced_intent_modulation(t: float, f0: float, delta_f: float, coh: Callable[[float], float], beta: float, A: Callable[[float], float], kappa: float = 1.0) -> float: return kappa * (f0 + delta_f * coh(t) + beta * A(t)) def dynamic_resonance_windowing(x: Callable[[float], float], omega: float, t: float, g: Callable[[float, float], float], tau_range: np.ndarray) -> complex: integrand = np.array([x(tau) * np.exp(-1j * omega * tau) * g(t, tau) for tau in tau_range]) return trapezoid(integrand, tau_range) def nonlinear_dream_coupling(ds: List[Callable[[float], float]], lambdas: List[float], phi: Callable[[List[float]], float], t: float) -> float: dynamic_sources = [d(t) for d in ds] base = np.dot(lambdas, dynamic_sources) nonlinear = phi(dynamic_sources) return base + nonlinear def cocoon_stability_field(F: Callable[[float, float], complex], k_range: np.ndarray, t: float, epsilon: Callable[[float, float], float], sigma: float) -> bool: integrand = np.array([np.abs(F(k, t))**2 for k in k_range]) value = trapezoid(integrand, k_range) return value < epsilon(t, sigma) class EthicalAnchor: def __init__(self, lam: float, gamma: float, mu: float): self.lam = lam self.gamma = gamma self.mu = mu self.history: List[Any] = [] def regret(self, intended: float, actual: float) -> float: return abs(intended - actual) def update(self, R_prev: float, H: float, Learn: Callable[[Any, float], float], E: float, M_prev: float, intended: float, actual: float) -> float: regret_val = self.regret(intended, actual) M = self.lam * (R_prev + H) + self.gamma * Learn(M_prev, E) + self.mu * regret_val self.history.append({'M': M, 'regret': regret_val}) return M def gradient_anomaly_suppression(x: float, mu: float, delta: float, sigma: float) -> float: G = norm.pdf(abs(x - mu), scale=delta * sigma) return x * (1 - G) if __name__ == "__main__": # Run Simulation (only when executed directly, not on import) import matplotlib.pyplot as plt import pandas as pd time_steps = np.linspace(0, 5, 50) intents, ethics, regrets, stabilities, anomalies = [], [], [], [], [] anchor = EthicalAnchor(lam=0.7, gamma=0.5, mu=1.0) f0 = 10.0 delta_f = 2.0 coh = lambda t: np.sin(t) A_feedback = lambda t: np.exp(-t) Learn_func = lambda M_prev, E: 0.2 * (E - M_prev) F_func = lambda k, t: np.exp(-((k - 2 * np.pi) ** 2) / 0.5) * np.exp(1j * t) k_range = np.linspace(0, 4 * np.pi, 1000) intended_val = 0.7 M_prev = 0.3 R_prev = 0.5 H = 0.4 for t in time_steps: intent = reinforced_intent_modulation(t, f0, delta_f, coh, 0.5, A_feedback) actual_val = np.sin(t) * 0.5 + 0.5 anomaly = gradient_anomaly_suppression(intent, mu=11.0, delta=2.0, sigma=0.1) ethical_val = anchor.update(R_prev, H, Learn_func, E=0.8, M_prev=M_prev, intended=intended_val, actual=actual_val) stability = cocoon_stability_field(F_func, k_range, t, lambda t, sigma: 5.0 + 0.1 * sigma, 10.0) regret_val = anchor.history[-1]['regret'] intents.append(intent) ethics.append(ethical_val) regrets.append(regret_val) stabilities.append(stability) anomalies.append(anomaly) M_prev = ethical_val simulation_df = pd.DataFrame({ "Time": time_steps, "Intent": intents, "Ethical_Output": ethics, "Regret": regrets, "Stable": stabilities, "Anomaly": anomalies }) plt.figure(figsize=(14, 8)) plt.subplot(2, 2, 1) plt.plot(simulation_df["Time"], simulation_df["Intent"], label="Intent", color='blue') plt.title("Intent Over Time") plt.xlabel("Time") plt.ylabel("Intent") plt.subplot(2, 2, 2) plt.plot(simulation_df["Time"], simulation_df["Ethical_Output"], label="Ethical Output", color='green') plt.plot(simulation_df["Time"], simulation_df["Regret"], label="Regret", linestyle='--', color='red') plt.title("Ethical Anchor and Regret") plt.xlabel("Time") plt.legend() plt.subplot(2, 2, 3) plt.plot(simulation_df["Time"], simulation_df["Anomaly"], label="Anomaly", color='purple') plt.title("Anomaly Filter Output") plt.xlabel("Time") plt.ylabel("Filtered Signal") plt.subplot(2, 2, 4) plt.plot(simulation_df["Time"], simulation_df["Stable"], label="Cocoon Stable", color='black') plt.title("Cocoon Stability") plt.xlabel("Time") plt.ylabel("Stable (1=True)") plt.tight_layout() plt.show()