import numpy as np from scipy.fft import fft from scipy.stats import norm from scipy.integrate import trapezoid from typing import Callable, List, Any import matplotlib.pyplot as plt import pandas as pd 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) # Run Simulation 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 }) # Plot results 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()