PUH-BrianMartell puh_standard_model_e8_projection_simulation.py- Updated Py Code

puh_standard_model_e8_projection_simulation.py

import numpy as np
import matplotlib.pyplot as plt

# PUH v11: SM E8 Projection Sim — Rep Cycle
dim = 248
roots = 240
gens = 3
omega = np.exp(2j * np.pi / 3)

# T eigenvalues for SU(3) cycle
eigs = np.array([1, omega, omega**2])

# Projection to 3 gens: Average over orbits
proj = np.mean(eigs) * np.ones(gens)  # Complex average 0 for θ_QCD=0

# Mass dilution m = roots / dim * m_Pl
m_pl = 1.22e19  # GeV
m_quark = (roots / dim) * m_pl / gens  # Toy per gen

plt.figure(figsize=(10,6))
plt.subplot(1,2,1)
plt.plot([1,2,3], np.real(eigs), 'o-', label='T Eigenvalues', color='cyan')
plt.axhline(0, color='red', ls=':', label='Average=0 (θ_QCD=0)')
plt.xlabel('Gen Index'); plt.ylabel('Re[λ]')
plt.title('PUH v11: Triality Cycle — Phase Average')

plt.subplot(1,2,2)
bar_width = 0.8
plt.bar(['m_Pl', 'Diluted m (per gen)'], [m_pl, m_quark], color=['red', 'gold'], width=bar_width)
plt.ylabel('Mass (GeV)'); plt.title('Knot Dilution Projection')
plt.yscale('log')
for i, val in enumerate([m_pl, m_quark]):
    plt.text(i, val, f'{val:.2e}', ha='center')
plt.tight_layout()
plt.savefig('puh_standard_model_e8_projection_simulation.png', dpi=300)
plt.show()

print(f"Projected m_quark ~{m_quark:.2e} GeV — SM scale from E8.")