QuantumParticlePhysicsPhenomena.py

```python
import numpy as np
import scipy.constants as const
import matplotlib.pyplot as plt

class QuantumParticlePhysicsPhenomena:
    """
    Comprehensive analysis of quantum and particle physics phenomena
    """
    
    @staticmethod
    def neutrino_half_life_analysis(initial_neutrino_count=1e20, 
                                     half_life=8.25e14):  # seconds
        """
        Analyze neutrino decay and half-life
        
        Parameters:
        initial_neutrino_count (float): Initial number of neutrinos
        half_life (float): Half-life in seconds
        
        Returns:
        dict: Neutrino decay characteristics
        """
        # Decay constant calculation
        decay_constant = np.log(2) / half_life
        
        # Time array for decay analysis
        time_points = np.linspace(0, 3 * half_life, 200)
        
        # Decay curve calculation
        def decay_curve(t):
            """
            Compute remaining neutrino count
            """
            return initial_neutrino_count * np.exp(-decay_constant * t)
        
        # Compute remaining neutrinos at different times
        remaining_neutrinos = [decay_curve(t) for t in time_points]
        
        return {
            'initial_count': initial_neutrino_count,
            'half_life': half_life,
            'decay_constant': decay_constant,
            'time_points': time_points,
            'remaining_neutrinos': remaining_neutrinos
        }
    
    @staticmethod
    def franck_hertz_experiment(accelerating_voltage=4.9):
        """
        Simulate Franck-Hertz experiment
        
        Parameters:
        accelerating_voltage (float): Electron accelerating voltage
        
        Returns:
        dict: Franck-Hertz experiment characteristics
        """
        # Mercury atom excitation energy
        mercury_excitation_energy = 4.9  # eV
        
        # Electron energy levels
        def electron_energy_distribution():
            """
            Compute electron energy distribution
            """
            # Simplified model of electron energy transfer
            electron_energies = []
            current_energy = 0
            
            while current_energy < accelerating_voltage:
                electron_energies.append(current_energy)
                current_energy += mercury_excitation_energy
            
            return electron_energies
        
        # Current-voltage relationship
        def current_voltage_relationship():
            """
            Compute current variations with voltage
            """
            voltages = np.linspace(0, accelerating_voltage * 2, 100)
            currents = [
                np.sin(v / mercury_excitation_energy * np.pi) 
                for v in voltages
            ]
            
            return {
                'voltages': voltages,
                'currents': currents
            }
        
        return {
            'accelerating_voltage': accelerating_voltage,
            'excitation_energy': mercury_excitation_energy,
            'electron_energies': electron_energy_distribution(),
            'current_voltage': current_voltage_relationship()
        }
    
    @staticmethod
    def speed_of_light_measurement(measurement_method='interferometric'):
        """
        Analyze speed of light measurement techniques
        
        Parameters:
        measurement_method (str): Method of measurement
        
        Returns:
        dict: Speed of light measurement characteristics
        """
        # Fundamental constants
        c = const.c  # Speed of light
        
        # Different measurement techniques
        measurement_techniques = {
            'interferometric': {
                'principle': 'Measure light interference patterns',
                'precision': 1e-12,  # meters
                'historical_method': 'Michelson-Morley experiment'
            },
            'astronomical': {
                'principle': 'Use astronomical observations',
                'precision': 1e-9,  # meters
                'historical_method': 'Roemer\'s observation of Jupiter\'s moons'
            },
            'cavity_resonance': {
                'principle': 'Measure electromagnetic cavity resonance',
                'precision': 1e-15,  # meters
                'historical_method': 'Modern laser-based techniques'
            }
        }
        
        # Selected method details
        method_details = measurement_techniques.get(
            measurement_method, 
            measurement_techniques['interferometric']
        )
        
        return {
            'speed_of_light': c,
            'measurement_method': measurement_method,
            'method_details': method_details
        }
    
    @staticmethod
    def x_ray_scattering(photon_energy=10000,  # eV
                          scattering_angle=45):  # degrees
        """
        X-ray scattering analysis
        
        Parameters:
        photon_energy (float): X-ray photon energy in eV
        scattering_angle (float): Scattering angle in degrees
        
        Returns:
        dict: X-ray scattering characteristics
        """
        # Compton scattering calculation
        def compton_scattering():
            """
            Compute Compton scattering properties
            """
            # Electron rest mass
            m_e = const.m_e
            
            # Speed of light
            c = const.c
            
            # Compton wavelength
            compton_wavelength = const.h / (m_e * c)
            
            # Convert photon energy to wavelength
            photon_wavelength = (
                const.h * const.c / 
                (photon_energy * const.e)
            )
            
            # Compton shift calculation
            angle_rad = np.deg2rad(scattering_angle)
            compton_shift = compton_wavelength * (
                1 - np.cos(angle_rad)
            )
            
            return {
                'compton_wavelength': compton_wavelength,
                'photon_wavelength': photon_wavelength,
                'compton_shift': compton_shift
            }
        
        # Scattering intensity model
        def scattering_intensity():
            """
            Compute scattering intensity distribution
            """
            angles = np.linspace(0, np.pi, 100)
            # Klein-Nishina formula (simplified)
            intensities = (1 + np.cos(angles)**2) / 2
            
            return {
                'angles': angles,
                'intensities': intensities
            }
        
        return {
            'photon_energy': photon_energy,
            'scattering_angle': scattering_angle,
            'compton_scattering': compton_scattering(),
            'scattering_intensity': scattering_intensity()
        }
    
    def visualize_phenomena(self):
        """
        Visualize various quantum and particle physics phenomena
        """
        plt.figure(figsize=(15, 10))
        
        # Neutrino Decay
        plt.subplot(221)
        neutrino_results = self.neutrino_half_life_analysis()
        plt.plot(
            neutrino_results['time_points'], 
            neutrino_results['remaining_neutrinos']
        )
        plt.title('Neutrino Decay')
        plt.xlabel('Time (s)')
        plt.ylabel('Remaining Neutrinos')
        
        # Franck-Hertz Experiment
        plt.subplot(222)
        franck_results = self.franck_hertz_experiment()
        plt.plot(
            franck_results['current_voltage']['voltages'],
            franck_results['current_voltage']['currents']
        )
        plt.title('Franck-Hertz Current-Voltage')
        plt.xlabel('Voltage')
        plt.ylabel('Current')
        
        # Speed of Light Measurement
        plt.subplot(223)
        c_result = self.speed_of_light_measurement()
        plt.bar(['Speed of Light'], [c_result['speed_of_light']])
        plt.title('Speed of Light')
        plt.ylabel('Meters per Second')
        
        # X-ray Scattering
        plt.subplot(224)
        x_ray_results = self.x_ray_scattering()
        plt.plot(
            x_ray_results['scattering_intensity']['angles'],
            x_ray_results['scattering_intensity']['intensities']
        )
        plt.title('X-ray Scattering Intensity')
        plt.xlabel('Scattering Angle')
        plt.ylabel('Intensity')
        
        plt.tight_layout()
        plt.show()

def main():
    # Create quantum particle physics phenomena instance
    physics_exp = QuantumParticlePhysicsPhenomena()
    
    # Neutrino Half-Life Analysis
    print("Neutrino Half-Life Analysis:")
    neutrino_results = physics_exp.neutrino_half_life_analysis()
    print(f"Half-Life: {neutrino_results['half_life']} seconds")
    
    # Franck-Hertz Experiment
    print("\nFranck-Hertz Experiment:")
    franck_results = physics_exp.franck_hertz_experiment()
    print(f"Excitation Energy: {franck_results['excitation_energy']} eV")
    
    # Speed of Light Measurement
    print("\nSpeed of Light Measurement:")
    c_result = physics_exp.speed_of_light_measurement()
    print(f"Speed of Light: {c_result['speed_of_light']} m/s")
    
    # X-ray Scattering
    print("\nX-ray Scattering:")
    x_ray_results = physics_exp.x_ray_scattering()
    print(f"Photon Energy: {x_ray_results['photon_energy']} eV")
    
    # Visualize phenomena
    physics_exp.visualize_phenomena()

if __name__ == "__main__":
    main()