Analysis of individual wavelength contribution to total curvature of space time between Earth and Moon

 

import numpy as np

from scipy.constants import G, h, c, physical_constants

# Get atomic mass of hydrogen

hydrogen_mass = physical_constants['proton mass'][0]  # kg

# Earth and Moon data

earth_mass = 5.972e24  # kg

moon_mass = 7.348e22  # kg

earth_moon_distance = 3.844e8  # meters

# Calculate number of atoms

earth_atoms = earth_mass / hydrogen_mass

moon_atoms = moon_mass / hydrogen_mass

def calculate_atomic_wavelength():

    """

    Calculate the gravitational wavelength for atomic-level interactions

    between Earth and Moon hydrogen atoms

    """

    # Planck mass

    m_P = np.sqrt(h * c / G)

    

    # Calculate wavelength for single atom pair

    single_atom_wavelength = (m_P**2 * earth_moon_distance**2) / (c * hydrogen_mass * hydrogen_mass)

    

    # Calculate total wavelength considering all atoms

    total_wavelength = (m_P**2 * earth_moon_distance**2) / (c * earth_mass * moon_mass)

    

    # Calculate average contribution per atom pair

    atom_pairs = earth_atoms * moon_atoms

    wavelength_per_pair = total_wavelength * atom_pairs

    

    return {

        'earth_atoms': earth_atoms,

        'moon_atoms': moon_atoms,

        'atom_pairs': atom_pairs,

        'single_atom_wavelength': single_atom_wavelength,

        'total_wavelength': total_wavelength,

        'wavelength_per_pair': wavelength_per_pair

    }

# Run analysis

results = calculate_atomic_wavelength()

# Print results in scientific notation

print()

print()

print()

print("   Earth-Moon Atomic Gravitational Analysis")

print(" ","-" * 50)

print(f"   Earth hydrogen atoms: {results['earth_atoms']:.2e}")

print(f"   Moon hydrogen atoms: {results['moon_atoms']:.2e}")

print(f"   Total atom pairs: {results['atom_pairs']:.2e}")

print("\n   Wavelengths:")

print(f"   Single H-H atom pair wavelength: {results['single_atom_wavelength']:.2e} meters")

print(f"   Total Earth-Moon wavelength: {results['total_wavelength']:.2e} meters")

print(f"   Average wavelength contribution per atom pair: {results['wavelength_per_pair']:.2e} meters          ")

# Calculate some interesting ratios

print("\n   Relationships:")

print(f"   Ratio of single atom wavelength to total wavelength: {results['single_atom_wavelength']/results['total_wavelength']:.2e}")

print(f"   Single atom wavelength * number of atom pairs: {(results['single_atom_wavelength'] * results['atom_pairs']):.2e} meters")

# Energy calculations

planck_energy = h * c / results['total_wavelength']

print(f"\n   Total gravitational energy (E = hc/λ): {planck_energy:.2e} joules")

print(f"   Energy per atom pair: {planck_energy/(results['atom_pairs']):.2e} joules")

print()

print()

print()