import json import os import pandas as pd import matplotlib.pyplot as plt import seaborn as sns from sklearn.decomposition import PCA # Function to load JSON data def load_json_data(json_file): with open(json_file, 'r') as file: return json.load(file) # Directory containing the JSON files data_dir = '.\\Documents\\big_bang_simulation_data\\' # List all JSON files in the directory data_files = [os.path.join(data_dir, f) for f in os.listdir(data_dir) if f.endswith('.json')] # Load multiple JSON files into a DataFrame data_list = [load_json_data(f) for f in data_files] # Extract relevant data into a DataFrame df = pd.DataFrame([ { 'tunneling_probability': data['tunneling_probability'], 'particle_mass_up': data['particle_masses_evolution'][0][-1], 'particle_mass_down': data['particle_masses_evolution'][1][-1], 'particle_mass_charm': data['particle_masses_evolution'][2][-1], 'particle_mass_strange': data['particle_masses_evolution'][3][-1], 'particle_mass_top': data['particle_masses_evolution'][4][-1], 'particle_mass_bottom': data['particle_masses_evolution'][5][-1], 'particle_mass_electron': data['particle_masses_evolution'][6][-1], 'particle_mass_muon': data['particle_masses_evolution'][7][-1], 'particle_mass_tau': data['particle_masses_evolution'][8][-1], 'particle_mass_photon': data['particle_masses_evolution'][9][-1], 'particle_speed': data['particle_speeds'][0][-1], 'particle_temperature': data['particle_temperatures'][0][-1], } for data in data_list ]) # Scatter Plot: Tunneling Probability vs Up Quark Mass plt.figure(figsize=(8, 6)) sns.scatterplot(x='tunneling_probability', y='particle_mass_up', data=df) plt.title('Tunneling Probability vs Up Quark Mass') plt.xlabel('Tunneling Probability') plt.ylabel('Up Quark Mass (GeV)') plt.show() # Scatter Plot: Particle Temperature vs Speed plt.figure(figsize=(8, 6)) sns.scatterplot(x='particle_temperature', y='particle_speed', data=df) plt.title('Particle Temperature vs Speed') plt.xlabel('Temperature (K)') plt.ylabel('Speed (m/s)') plt.show() # Line Graph: Evolution of Up Quark Mass Over Time time_steps = range(len(data_list[0]['particle_masses_evolution'][0])) plt.figure(figsize=(10, 6)) for data in data_list: plt.plot(time_steps, data['particle_masses_evolution'][0], label=f"Tunneling Probability: {data['tunneling_probability']:.2f}") plt.title('Evolution of Up Quark Mass Over Time') plt.xlabel('Time Steps') plt.ylabel('Up Quark Mass (GeV)') plt.legend() plt.show() # Dimensionality Reduction: PCA features = ['particle_mass_up', 'particle_mass_down', 'particle_mass_charm', 'particle_mass_strange', 'particle_mass_top', 'particle_mass_bottom', 'particle_mass_electron', 'particle_mass_muon', 'particle_mass_tau', 'particle_mass_photon', 'particle_speed', 'particle_temperature'] X = df[features] pca = PCA(n_components=2) principal_components = pca.fit_transform(X) pca_df = pd.DataFrame(data=principal_components, columns=['PC1', 'PC2']) # PCA Plot plt.figure(figsize=(8, 6)) sns.scatterplot(x='PC1', y='PC2', data=pca_df, hue=df['tunneling_probability'], palette='viridis') plt.title('PCA of Particle Properties') plt.xlabel('Principal Component 1') plt.ylabel('Principal Component 2') plt.show() # Investigate correlations in detail correlation_matrix = df.corr() plt.figure(figsize=(12, 10)) sns.heatmap(correlation_matrix, annot=True, cmap='coolwarm') plt.title('Detailed Correlation Matrix') plt.show() # Identify highly correlated pairs correlated_pairs = correlation_matrix.unstack().sort_values(kind="quicksort") highly_correlated_pairs = correlated_pairs[(abs(correlated_pairs) > 0.8) & (abs(correlated_pairs) < 1)] # Print highly correlated pairs print("Highly Correlated Pairs:") print(highly_correlated_pairs) # Considering additional variables if available df['particle_momentum'] = [...] # Add momentum data if available df['particle_energy'] = [...] # Add energy data if available # Re-run PCA with additional variables features = ['particle_mass_up', 'particle_mass_down', 'particle_mass_charm', 'particle_mass_strange', 'particle_mass_top', 'particle_mass_bottom', 'particle_mass_electron', 'particle_mass_muon', 'particle_mass_tau', 'particle_mass_photon', 'particle_speed', 'particle_temperature', 'particle_momentum', 'particle_energy'] X = df[features] pca = PCA(n_components=2) principal_components = pca.fit_transform(X) pca_df = pd.DataFrame(data=principal_components, columns=['PC1', 'PC2']) # Plot updated PCA results plt.figure(figsize=(8, 6)) sns.scatterplot(x='PC1', y='PC2', data=pca_df, hue=df['tunneling_probability'], palette='viridis') plt.title('PCA of Particle Properties with Additional Variables') plt.xlabel('Principal Component 1') plt.ylabel('Principal Component 2') plt.show()