#!/usr/bin/env python3
"""
Nuclear Calculation Debug Analysis

The results showing 10^26 dominance of geometric over confinement forces
are so extreme they suggest calculation errors. Let's debug systematically.

Author: Andre Heinecke & AI Collaborators
Date: June 2025
"""

import numpy as np

def debug_nuclear_calculation():
    """Debug the nuclear force calculation step by step"""
    
    print("NUCLEAR CALCULATION DEBUG ANALYSIS")
    print("="*60)
    print("Investigating why geometric/confinement ratio = 10^26")
    print("This is too extreme to be physical - likely calculation error")
    print()
    
    # Constants
    hbar = 1.054571817e-34  # J⋅s
    c = 299792458           # m/s
    eV_to_J = 1.602176634e-19
    
    print("STEP 1: CHECK QUARK MASS CONVERSION")
    print("-" * 40)
    
    # Current quark masses from PDG
    m_up_MeV = 2.16
    m_down_MeV = 4.67
    m_avg_MeV = (m_up_MeV + m_down_MeV) / 2
    
    # Convert to kg
    m_avg_kg = m_avg_MeV * 1e6 * eV_to_J / c**2
    
    print(f"Average current quark mass: {m_avg_MeV:.2f} MeV/c²")
    print(f"In kg: {m_avg_kg:.2e} kg")
    print(f"Electron mass for comparison: {9.109e-31:.3e} kg")
    print(f"Quark/electron mass ratio: {m_avg_kg/9.109e-31:.1f}")
    print()
    
    print("ISSUE 1: Current vs Constituent Quark Masses")
    print("- Current masses (PDG): What appears in QCD Lagrangian")
    print("- Constituent masses: Effective masses in hadrons (~300 MeV)")
    print("- Geometric binding might depend on constituent masses!")
    print()
    
    # Try with constituent masses
    m_constituent_MeV = 300  # Typical constituent mass
    m_constituent_kg = m_constituent_MeV * 1e6 * eV_to_J / c**2
    
    print(f"Constituent quark mass: {m_constituent_MeV} MeV/c²")
    print(f"In kg: {m_constituent_kg:.2e} kg")
    print(f"Current/Constituent ratio: {m_avg_kg/m_constituent_kg:.3f}")
    print()
    
    print("STEP 2: CHECK STRING TENSION CONVERSION")
    print("-" * 40)
    
    sigma_GeV2_fm = 0.18
    # Convert GeV²/fm to N
    GeV_to_J = 1e9 * eV_to_J
    fm_to_m = 1e-15
    
    sigma_N = sigma_GeV2_fm * (GeV_to_J**2) / fm_to_m
    
    print(f"String tension: {sigma_GeV2_fm} GeV²/fm")
    print(f"1 GeV = {GeV_to_J:.3e} J")
    print(f"1 fm = {fm_to_m:.0e} m")
    print(f"σ in SI units: {sigma_N:.2e} N")
    print()
    
    print("STEP 3: FORCE CALCULATIONS AT r = 1 fm")
    print("-" * 40)
    
    r_fm = 1.0
    r_m = r_fm * 1e-15
    
    # Geometric force with current mass
    F_geom_current = hbar**2 / (m_avg_kg * r_m**3)
    
    # Geometric force with constituent mass
    F_geom_constituent = hbar**2 / (m_constituent_kg * r_m**3)
    
    # Confinement force
    F_conf = sigma_N * r_m
    
    print(f"At r = {r_fm} fm = {r_m:.0e} m:")
    print(f"F_geometric (current mass):     {F_geom_current:.2e} N")
    print(f"F_geometric (constituent mass): {F_geom_constituent:.2e} N")
    print(f"F_confinement:                  {F_conf:.2e} N")
    print()
    
    ratio_current = F_geom_current / F_conf
    ratio_constituent = F_geom_constituent / F_conf
    
    print(f"Ratio (current mass):     {ratio_current:.1e}")
    print(f"Ratio (constituent mass): {ratio_constituent:.1e}")
    print()
    
    print("STEP 4: COMPARISON WITH KNOWN NUCLEAR FORCES")
    print("-" * 40)
    
    # Typical nuclear binding energy per nucleon
    binding_per_nucleon_MeV = 8  # MeV (iron peak)
    nuclear_radius_fm = 1.2  # fm (A^1/3 scaling)
    
    # Estimate typical nuclear force
    F_nuclear_typical = binding_per_nucleon_MeV * 1e6 * eV_to_J / (nuclear_radius_fm * 1e-15)
    
    print(f"Typical nuclear binding: {binding_per_nucleon_MeV} MeV per nucleon")
    print(f"Over distance ~{nuclear_radius_fm} fm")
    print(f"Typical nuclear force: {F_nuclear_typical:.2e} N")
    print()
    
    print(f"Our geometric force (current): {F_geom_current:.2e} N")
    print(f"vs typical nuclear force:      {F_nuclear_typical:.2e} N")
    print(f"Ratio: {F_geom_current/F_nuclear_typical:.1e}")
    print()
    
    if F_geom_current > 1000 * F_nuclear_typical:
        print("⚠️  GEOMETRIC FORCE IS 1000x LARGER THAN TYPICAL NUCLEAR FORCES!")
        print("   This suggests a fundamental error in the approach")
    
    print("STEP 5: POTENTIAL ISSUES")
    print("-" * 40)
    
    print("1. MASS SCALE PROBLEM:")
    print("   - Current quark masses may not be the relevant mass scale")
    print("   - Constituent masses include binding energy effects")
    print("   - QCD mass generation is non-perturbative")
    print()
    
    print("2. STRONG COUPLING BREAKDOWN:")
    print("   - α_s ~ 1 at nuclear scales (non-perturbative)")
    print("   - Geometric formula derived for weakly coupled systems")
    print("   - QCD requires different theoretical treatment")
    print()
    
    print("3. MISSING QCD FACTORS:")
    print("   - Color SU(3) factors")
    print("   - Running coupling constant")
    print("   - Non-Abelian gauge theory corrections")
    print()
    
    print("4. SCALE MISMATCH:")
    print("   - Nuclear binding operates at ~MeV scale")
    print("   - Our calculation gives forces equivalent to ~TeV energies")
    print("   - Suggests wrong energy/length scale relationship")
    print()
    
    print("STEP 6: HONEST ASSESSMENT")
    print("-" * 40)
    
    print("LIKELY CONCLUSION:")
    print("The geometric principle F = ℏ²/(mr³) cannot be naively extended")
    print("from QED (electromagnetic) to QCD (strong force) because:")
    print()
    print("1. QCD is strongly coupled (α_s ~ 1) vs QED weakly coupled (α ~ 1/137)")
    print("2. Non-Abelian gauge theory has qualitatively different physics")  
    print("3. Confinement is inherently non-perturbative")
    print("4. Mass scales in QCD are dynamically generated")
    print()
    print("The geometric principle may be specific to:")
    print("- QED systems (atoms, molecules)")
    print("- Gravity (planets, stars)")
    print("- Other weakly coupled systems")
    print()
    print("Nuclear physics likely requires its own theoretical framework")
    print("that cannot be reduced to simple geometric arguments.")
    
    return {
        'geometric_current': F_geom_current,
        'geometric_constituent': F_geom_constituent,
        'confinement': F_conf,
        'nuclear_typical': F_nuclear_typical,
        'ratio_too_large': ratio_current > 1e20
    }

if __name__ == "__main__":
    result = debug_nuclear_calculation()
    
    print("\n" + "="*60)
    print("DEBUG CONCLUSION:")
    if result['ratio_too_large']:
        print("❌ Calculation error confirmed!")
        print("   Geometric principle likely not applicable to QCD")
        print("   Need to acknowledge limitations honestly")
    else:
        print("✓ Calculation seems reasonable")
        print("   Proceed with nuclear analysis")
