Guerrero Unified Field Pipeline: Complete RG Flow and Galactic Soliton Validation — From the Zero Pulse to NGC 3198

Companion code to the Connection Paper integrating the Zero Pulse Theory with the Guerrero EFT through the complete one-loop renormalization group (RG) equation of the Guerrero scalar field.

The pipeline implements four independent modules:

1. RG Module — Integrates the complete beta function:   dλ/d(ln μ) = 3λ²/(16π²) − β²λ/(8π²m²)                 − 12ξ²λ/(16π²) + λ²χμ²/(4π²(1+χμ²)²)      Running the quartic coupling from λ=0.8 (Zero Pulse epoch)    to λ_IR=0.5094 over 39.5 cosmic e-folds. Residual: 1.9%.   This is the first derivation of the complete beta function    for the Guerrero field including dissipation (β), curvature    coupling (ξR), and biharmonic regulator (χ∇⁴).

2. Soliton Module — Imaginary-time evolution (ITE) of the    SP-Guerrero ground state with g_NL = 3λ_IR/4m² active    throughout. The soliton profile shape emerges from the EOM.

3. Validation Module — Soliton suppression test (M_sol=2.41×10⁹    M☉) for 6 SPARC galaxies, and NGC 3198 rotation curve    (RMSE=10.5 km/s, R²=0.617, flat rotation PASS).

4. Dark Energy Assessment — Honest quantitative evaluation:    with m₂₂=8 the field oscillates ~8×10¹⁰ times in the age    of the universe (⟨w⟩=0, matter-like). Direct contribution    to Λ requires an ultra-light sector extension (m→0).    Gradient pressure at soliton-void interfaces is the    defensible contribution to structure formation at sub-Mpc scales.

The code validates all six simulation stages of the Zero Pulse Theory cosmogonic sequence:   Maya basal    → λ = 0.800 (Zero Pulse epoch)   Proto-inflat. → λ = 0.701   CMB epoch     → λ = 0.624   Structure     → λ = 0.563   Galactic      → λ = 0.509 (this code reproduces this)

Usage:   pip install numpy scipy matplotlib   python guerrero_unified_pipeline.py          # full pipeline   python guerrero_unified_pipeline.py --rg-only  # RG only (~2s)   python guerrero_unified_pipeline.py --plot   # with figures