统一场论模拟程序

import numpy as np import matplotlib.pyplot as plt class UnifiedFieldTheory: def __init__(self, c=299792458): self.c = c # 光速，精确值：299792.458 km/s self.G = 6.67430e-11 # 引力常数 self.k = 1.0 # 比例常数 def spacetime_unification(self, t): """时空同一化方程：r(t) = Ct""" return self.c * t def spiral_spacetime(self, t, r=1.0, omega=1.0, h=1.0): """三维螺旋时空方程：r(t) = r*cos(ωt)i + r*sin(ωt)j + ht*k""" x = r * np.cos(omega * t) y = r * np.sin(omega * t) z = h * t return np.array([x, y, z]) def spatial_wave(self, x, y, z, t, A=1.0, omega=1.0, k=1.0): """空间波动方程：L = A*sin(ωt - kr)""" r = np.sqrt(x**2 + y**2 + z**2) return A * np.sin(omega * t - k * r) def mass_definition(self, dn_dOmega): """质量定义方程：m = k*(dn/dΩ)""" return self.k * dn_dOmega def gravitational_field(self, delta_n, delta_s, r_vec, r): """引力场定义方程：A = -Gk*(Δn/Δs)*(r̂/r)""" if r == 0: return np.zeros(3) return -self.G * self.k * (delta_n / delta_s) * (r_vec / r) def static_momentum(self, m): """静止动量方程：p0 = m0*C0""" return m * self.c def simulate_spiral_motion(self, duration=10.0, dt=0.1, r=1.0, omega=0.5, h=0.2): """模拟螺旋时空运动""" t_values = np.arange(0, duration, dt) positions = [] for t in t_values: pos = self.spiral_spacetime(t, r, omega, h) positions.append(pos) positions = np.array(positions) # 3D可视化 fig = plt.figure(figsize=(12, 10)) ax = fig.add_subplot(111, projection='3d') ax.plot(positions[:, 0], positions[:, 1], positions[:, 2], label='螺旋时空轨迹', linewidth=2, color='b') # 添加时间点标记 ax.scatter(positions[0, 0], positions[0, 1], positions[0, 2], color='g', s=100, label='初始位置 (t=0)') ax.scatter(positions[-1, 0], positions[-1, 1], positions[-1, 2], color='r', s=100, label=f'最终位置 (t={duration})') ax.set_xlabel('X 轴') ax.set_ylabel('Y 轴') ax.set_zlabel('Z 轴') ax.set_title('三维螺旋时空运动模拟') ax.legend() ax.grid(True) plt.tight_layout() plt.savefig('spiral_spacetime.png') plt.close() return positions def simulate_gravitational_field(self, object_pos, test_positions): """模拟引力场分布""" field_strengths = [] for test_pos in test_positions: r_vec = test_pos - object_pos r = np.linalg.norm(r_vec) # 简化的Δn/Δs计算（假设为常数） delta_n = 1.0 delta_s = 1.0 field = self.gravitational_field(delta_n, delta_s, r_vec, r) field_strength = np.linalg.norm(field) field_strengths.append(field_strength) return np.array(field_strengths) def simulate_spatial_wave(self, duration=5.0, dt=0.1, A=1.0, omega=2.0, k=1.0): """模拟空间波动""" x = np.linspace(-10, 10, 100) t_values = np.arange(0, duration, dt) # 创建2D网格 X, Y = np.meshgrid(x, x) Z = np.zeros_like(X) # 计算不同时间点的波场 for i, t in enumerate(t_values): wave_field = np.zeros_like(X) for j in range(len(x)): for k_idx in range(len(x)): wave_field[j, k_idx] = self.spatial_wave(X[j, k_idx], Y[j, k_idx], Z[j, k_idx], t, A, omega, k) # 2D可视化 plt.figure(figsize=(10, 8)) plt.contourf(X, Y, wave_field, levels=50, cmap='viridis') plt.colorbar(label='空间波动幅度') plt.xlabel('X 轴') plt.ylabel('Y 轴') plt.title(f'空间波动模拟 (t={t:.2f}s)') plt.grid(True) plt.tight_layout() plt.savefig(f'spatial_wave_{i:03d}.png') plt.close() def analyze_mass_relationship(self, dn_dOmega_values): """分析质量与空间运动密度的关系""" masses = [self.mass_definition(dn_dOmega) for dn_dOmega in dn_dOmega_values] # 可视化关系 plt.figure(figsize=(10, 6)) plt.plot(dn_dOmega_values, masses, 'b-o', linewidth=2, markersize=8) plt.xlabel('空间运动密度 (dn/dΩ)') plt.ylabel('质量 (m)') plt.title('质量与空间运动密度关系') plt.grid(True) plt.tight_layout() plt.savefig('mass_relationship.png') plt.close() return masses