#!/usr/bin/env python3
"""
speed_limit_tethering.py

What if QCD confinement emerges from preventing v > c?
As quarks try to separate, they'd spin faster, approaching c.
The "tether" prevents this!
"""

import numpy as np
import scipy.constants as const

def analyze_speed_limit_force(name, mass_kg, radius_m, angular_momentum):
    """Calculate what force prevents v > c for spinning objects"""
    
    c = const.c
    hbar = const.hbar
    
    # For spinning sphere
    I = (2/5) * mass_kg * radius_m**2
    omega = angular_momentum / I
    v_surface = omega * radius_m
    
    print(f"\n{name}:")
    print(f"  Natural surface velocity: {v_surface/c:.3f}c")
    
    if v_surface > c:
        # What force would prevent this?
        # If confined to move at max 0.9c:
        v_max = 0.9 * c
        omega_max = v_max / radius_m
        L_max = I * omega_max
        
        # Force needed to prevent exceeding this
        # This is like a spring force: F = k(r - r0)
        # Or in QCD: F = σr (string tension!)
        
        # The "excess" angular momentum that must be absorbed
        L_excess = angular_momentum - L_max
        
        # This creates a restoring force
        # F ~ L_excess / r² (dimensional analysis)
        F_tether = L_excess / (radius_m**2)
        
        print(f"  Would violate c by factor: {v_surface/c:.1f}")
        print(f"  Tethering force needed: {F_tether:.2e} N")
        print(f"  This looks like QCD confinement!")
        
        return F_tether
    else:
        print(f"  No tethering needed - subcritical")
        return 0

def test_fusion_hypothesis():
    """What if particles fuse when approaching c?"""
    
    print("\n" + "="*60)
    print("FUSION HYPOTHESIS")
    print("="*60)
    
    me = const.m_e
    hbar = const.hbar
    
    # Single electron at nuclear scale
    r_nuclear = 1e-15
    I_single = (2/5) * me * r_nuclear**2
    omega_single = (hbar/2) / I_single
    v_single = omega_single * r_nuclear
    
    print(f"Single electron at {r_nuclear*1e15:.1f} fm:")
    print(f"  Would need v = {v_single/const.c:.1f}c")
    
    # Two electrons sharing angular momentum
    I_double = (2/5) * (2*me) * r_nuclear**2
    omega_double = hbar / I_double  # Shared angular momentum
    v_double = omega_double * r_nuclear
    
    print(f"\nTwo electrons sharing spin:")
    print(f"  Combined v = {v_double/const.c:.1f}c")
    print(f"  Reduction factor: {v_single/v_double:.1f}")
    
    # Energy released
    E_spin_single = 0.5 * I_single * omega_single**2
    E_spin_double = 0.5 * I_double * omega_double**2
    E_released = 2*E_spin_single - E_spin_double
    
    print(f"\nEnergy budget:")
    print(f"  Released in fusion: {E_released/const.e/1e6:.1f} MeV")
    print(f"  This could be mass-energy!")

def main():
    print("SPEED OF LIGHT AS THE ORIGIN OF FORCES")
    print("="*70)
    print("Hypothesis: Forces emerge to prevent v > c violations")
    
    cases = [
        ("Free quark", const.m_u, 0.3e-15, const.hbar/2),
        ("Confined quark", const.m_u, 0.875e-15, const.hbar/2),
        ("Electron in atom", const.m_e, 5.29e-11, const.hbar),
    ]
    
    tether_forces = []
    for case in cases:
        F = analyze_speed_limit_force(*case)
        if F > 0:
            tether_forces.append(F)
    
    test_fusion_hypothesis()
    
    print("\n" + "="*70)
    print("PHILOSOPHICAL IMPLICATIONS:")
    print("1. The speed of light creates a 'pressure' on spinning objects")
    print("2. This pressure can be relieved by:")
    print("   - Fusion (combining spins)")
    print("   - Tethering (QCD confinement)")
    print("3. Mass itself might be 'frozen' rotational energy")
    print("4. E = mc² because m is spin energy that can't exceed c!")

if __name__ == "__main__":
    main()