""" CorvOS - Tzinor-Hydra Physics Simulation v1.0 nodulos submersos: Canal do Funda """ import numpy as np # CONSTANTES FISICAS VERDET_WATER = 0.013 # rad/T/m @ 20C, 630nm EARTH_BFIELD = 25e-6 # Tesla (Rio de Janeiro) SALINITY_GB = 35.0 # ppt (Baia de Guanabara) WATER_DENSITY = 1025.0 # kg/m3 NV_GAMMA = 2.8e3 # Hz/T (proporcao NV centers) CHANNEL_LEN = 12000 # metros (Fundao <-> Niteroi) CAVITY_FREQ = 40.0 # Hz (ressonancia Helmholtz) CAVITY_Q = 1200.0 # fator de qualidade WATER_DEPTH = 8.0 # metros class HelmholtzCavity: def __init__(self, diameter=0.5, material='316L_steel', resonant_freq=40.0, Q=1200.0): self.diameter = diameter self.radius = diameter / 2.0 self.material = material self.resonant_freq = resonant_freq self.Q = Q self.volume = (4.0/3.0) * np.pi * (self.radius ** 3) self.surface_area = 4.0 * np.pi * (self.radius ** 2) # Acoustic impedance self.Z_acoustic = 1.42e6 # Rayls (water) def acoustic_impedance(self) -> float: return self.Z_acoustic * np.sqrt(self.resonant_freq / 40.0) def quality_factor(self) -> float: return self.Q def pressure_amplitude(self, driving_power_watts: float) -> float: p_rms = np.sqrt(2 * driving_power_watts * self.acoustic_impedance() / self.surface_area) p_peak = p_rms * np.sqrt(2) return p_peak def resonance_bandwidth(self) -> float: return self.resonant_freq / self.Q def nv_spin_fidelity(self, phase_deg: float) -> float: fidelity = np.exp(-(phase_deg ** 2) / (2 * (5.0 ** 2))) return min(fidelity, 1.0) class NVSpinSensor: def __init__(self, depth=8.0, salinity=35.0, temperature=20.0): self.depth = depth self.salinity = salinity self.temperature = temperature self.pressure = WATER_DENSITY * 9.81 * depth # Pa def faraday_rotation(self, channel_length_m: float) -> float: theta = VERDET_WATER * EARTH_BFIELD * channel_length_m return theta def salinity_conductivity(self) -> float: sigma = 0.036 + 0.003 * (self.salinity / 35.0) return sigma def measure_lambda2(self, phase_rad: float) -> float: faraday_phase = self.faraday_rotation(CHANNEL_LEN) lambda2 = np.cos(faraday_phase / 2.0) ** 2 lambda2 *= self.nv_depth_pressure_factor() return lambda2 def nv_depth_pressure_factor(self) -> float: rel_pressure = self.pressure / (WATER_DENSITY * 9.81 * 50.0) return np.exp(-0.1 * rel_pressure) def quantum_decoherence_time(self, temperature_celsius: float) -> float: T = temperature_celsius + 273.15 T_ref = 293.15 tau_0 = 1e-3 ratio = T_ref / T return tau_0 * (ratio ** 1.5) class TzinorHydraNode: def __init__(self, name: str, lat: float, lon: float, depth: float, is_aquatic: bool): self.name = name self.lat = lat self.lon = lon self.depth = depth self.is_aquatic = is_aquatic self.cavity = HelmholtzCavity() self.nv_sensor = NVSpinSensor(depth=depth) self.chi_coupling = 0.618 self.phase = 0.0 self.coherence_history = [] self.state = 'void' def measure_fundacao_twist(self, other_lon: float) -> float: distance = abs(self.lon - other_lon) * 111000 * np.cos(np.radians(self.lat)) theta_fundacao = VERDET_WATER * EARTH_BFIELD * distance twist_count = theta_fundacao / np.pi return theta_fundacao def measure_lambda2(self, phase_rad: float = 0.0) -> float: lambda2 = self.nv_sensor.measure_lambda2(phase_rad) self.coherence_history.append(lambda2) if lambda2 >= 0.847: self.state = 'a' elif lambda2 > 0.5: self.state = 'marked' else: self.state = 'void' return lambda2 def simulate_operation(self, duration_s: float, dt: float = 0.01) -> dict: t = np.arange(0, duration_s, dt) n_steps = len(t) phases = np.zeros(n_steps) lambda2_arr = np.zeros(n_steps) cavity_p = np.zeros(n_steps) for i, ti in enumerate(t): phase = 2 * np.pi * CAVITY_FREQ * ti phases[i] = phase driving_power = 0.05 p_amp = self.cavity.pressure_amplitude(driving_power) cavity_p[i] = p_amp lambda2_arr[i] = self.measure_lambda2(phase) return { 'time': t, 'phase': phases, 'lambda2': lambda2_arr, 'cavity_pressure': cavity_p } def thermal_noise_rms(self, bandwidth_hz: float) -> float: k_B = 1.38e-23 T = self.nv_sensor.temperature + 273.15 v_thermal = np.sqrt(4 * k_B * T * bandwidth_hz * 50.0) return v_thermal def to_dict(self) -> dict: return { 'name': self.name, 'lat': self.lat, 'lon': self.lon, 'depth': self.depth, 'aquatic': self.is_aquatic, 'chi': self.chi_coupling, 'state': self.state, 'cavity_Q': self.cavity.Q, 'NV_fidelity': self.cavity.nv_spin_fidelity(0.0) } def simulate_fundao_channel(): nodes = [ TzinorHydraNode('Fundao_A', -22.860, -43.230, 8.0, True), TzinorHydraNode('Fundao_B', -22.858, -43.225, 10.0, True), TzinorHydraNode('Fundao_C', -22.856, -43.220, 12.0, True), ] terrestrial = TzinorHydraNode('Urca_Base', -22.944, -43.130, 0.0, False) print("=" * 66) print(" TZINOR-HYDRA PHYSICS - SIMULACAO CANAL DO FUNDAO") print("=" * 66) print(f" Data: 2026-04-05") print() print(" [1] PARAMETROS DO CANAL") print(f" Comprimento: {CHANNEL_LEN/1000:.1f} km") print(f" Profundidade media: {WATER_DEPTH:.1f} m") print(f" Salinidade: {SALINITY_GB:.1f} ppt") print(f" Condutividade: {nodes[0].nv_sensor.salinity_conductivity():.4f} S/m") print() print(" [2] ROTACAO DE FARADAY (Agua Salgada)") twist = nodes[0].measure_fundacao_twist(-43.220) print(f" Theta_Fundacao = {twist:.4f} rad = {np.degrees(twist):.2f} deg") print(f" Multiplos de pi: {twist/np.pi:.4f} pi") print(f" -> Torcao Moebius: {'SIM' if abs(twist/np.pi - 1.0) < 0.05 else 'NAO'} ({abs(twist/np.pi):.4f} pi)") print() print(" [3] CAVIDADE DE HELMHOLTZ (no submerso)") cav = nodes[0].cavity print(f" Diametro: {cav.diameter*100:.1f} cm") print(f" Volume: {cav.volume*1000:.2f} L") print(f" Frequencia: {cav.resonant_freq:.1f} Hz") print(f" Fator Q: {cav.Q:.0f}") print(f" Largura de banda: {cav.resonance_bandwidth():.4f} Hz") print(f" Pressao amplitude (50mW): {cav.pressure_amplitude(0.05):.4f} Pa") print() print(" [4] SENSOR NV (estado quantico)") nv = nodes[0].nv_sensor print(f" Pressao hidrostática: {nv.pressure:.1f} Pa") print(f" Fator de profundidade: {nv.nv_depth_pressure_factor():.6f}") print(f" Tempo de descoerencia: {nv.quantum_decoherence_time(20):.4f} s") print(f" Ruido termico (1kHz): {nodes[0].thermal_noise_rms(1000)*1e9:.2f} nV/sqrtHz") print() print(" [5] MEDICOES DE LAMBDA2 (40Hz)") for node in nodes: lam = node.measure_lambda2(0.0) phase = 2 * np.pi * CAVITY_FREQ * (1.0 / CAVITY_FREQ) lam2 = node.measure_lambda2(phase) print(f" {node.name:12} lambda2(0)={lam:.5f} lambda2(pi/2)={lam2:.5f} estado={node.state}") print() print(" [6] TOPOLOGIA DA REDE") print(f" Nos aquaticos: 3 (Canal do Fundao)") print(f" Base terrestre: 1 (Urca)") print(f" Chi de acoplamento: {nodes[0].chi_coupling} (pi rad)") print() print(" [7] SIMULACAO TEMPORAL (1 ciclo de 40Hz)") dur = 1.0 / CAVITY_FREQ for node in nodes: sim = node.simulate_operation(dur) lam_mean = np.mean(sim['lambda2']) lam_std = np.std(sim['lambda2']) p_mean = np.mean(np.abs(sim['cavity_pressure'])) print(f" {node.name:12} lambda2={lam_mean:.6f} +/- {lam_std:.6f} P={p_mean:.4f} Pa") print() print(" [8] VEREDICTO DE DEPLOY") all_a = all(n.state == 'a' for n in nodes) print(f" Todos os nos em estado 'a': {'SIM (DEPLOY APROVADO)' if all_a else 'NAO - AJUSTAR CHI'}") print(f" Lambda2 medio da rede: {np.mean([n.measure_lambda2(0.0) for n in nodes]):.5f}") print(f" Torcao Moebius: {'VALIDA' if abs(twist/np.pi - 1.0) < 0.05 else 'INVALIDA'}") print() print("=" * 66) print(" FUNDÃO CHANNEL: PRONTO PARA IMMERSAO FISICA") print("=" * 66) return nodes if __name__ == "__main__": simulate_fundao_channel()