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Author: snowbellsan

Pantheon+Test/01.png

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+import numpy as np
+import pandas as pd
+import matplotlib.pyplot as plt
+from scipy.integrate import quad
+from scipy.interpolate import interp1d
+
+# =========================
+# 前回の最適化結果（勝利パラメータ）
+# =========================
+res_csgt_x = [0.010, 0.100, 1.200, -19.34, 72.99, 0.35, -1.10] # A, sigma, zp, M, H0, Om, w_off
+res_lcdm_x = [-19.34, 72.99, 0.35] # M, H0, Om
+
+# =========================
+# グラフ用計算関数
+# =========================
+def get_plot_data(params, is_csgt=True):
+    if is_csgt:
+        A, sigma, zp, M, H0, Om, w_off = params
+    else:
+        M, H0, Om = params
+        A, sigma, zp, w_off = 0.0, 1.0, 0.7, -1.0
+        
+    Ode = 1.0 - Om
+    z_range = np.linspace(0.001, 2.3, 200)
+    
+    # w(z) の計算
+    w_z = w_off + A * np.exp(-(z_range - zp)**2 / (2 * sigma**2))
+    
+    # H(z) の計算
+    H_z = []
+    for z in z_range:
+        w_int, _ = quad(lambda zp_val: ((1.0 + w_off) + A * np.exp(-(zp_val - zp)**2 / (2 * sigma**2))) / (1.0 + zp_val), 0, z)
+        Ez = np.sqrt(Om * (1 + z)**3 + Ode * np.exp(3.0 * w_int))
+        H_z.append(H0 * Ez)
+        
+    return z_range, w_z, np.array(H_z)
+
+# データの取得
+z_axis, w_csgt, H_csgt = get_plot_data(res_csgt_x, True)
+_, w_lcdm, H_lcdm = get_plot_data(res_lcdm_x, False)
+
+# =========================
+# プロット作成
+# =========================
+fig, ax = plt.subplots(1, 2, figsize=(15, 6))
+
+# 左図：状態方程式 w(z)
+ax[0].plot(z_axis, w_csgt, 'r-', lw=2, label='CSGT (A=0.01, z_p=1.2)')
+ax[0].plot(z_axis, w_lcdm, 'b--', lw=2, label='ΛCDM (w=-1)')
+ax[0].axhline(-1, color='gray', linestyle=':', alpha=0.5)
+ax[0].set_xlabel('Redshift z', fontsize=12)
+ax[0].set_ylabel('Equation of State w(z)', fontsize=12)
+ax[0].set_title('Dark Energy Evolution', fontsize=14)
+ax[0].legend()
+ax[0].grid(alpha=0.3)
+
+# 右図：膨張率 H(z) の比較（偏差）
+# 標準モデルからのズレをパーセントで表示すると分かりやすいわ
+H_diff = (H_csgt - H_lcdm) / H_lcdm * 100
+ax[1].plot(z_axis, H_diff, 'g-', lw=2, label='(H_CSGT - H_LCDM) / H_LCDM [%]')
+ax[1].axhline(0, color='blue', linestyle='--', alpha=0.5)
+ax[1].set_xlabel('Redshift z', fontsize=12)
+ax[1].set_ylabel('Difference in H(z) (%)', fontsize=12)
+ax[1].set_title('Expansion Rate Deviation from ΛCDM', fontsize=14)
+ax[1].legend()
+ax[1].grid(alpha=0.3)
+
+plt.tight_layout()
+plt.show()
+
+print("Graphs generated successfully.")