121 lines
3.7 KiB
Python
121 lines
3.7 KiB
Python
#!/usr/bin/env python3
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"""
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speed_limit_tethering.py
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What if QCD confinement emerges from preventing v > c?
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As quarks try to separate, they'd spin faster, approaching c.
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The "tether" prevents this!
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"""
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import numpy as np
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import scipy.constants as const
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def analyze_speed_limit_force(name, mass_kg, radius_m, angular_momentum):
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"""Calculate what force prevents v > c for spinning objects"""
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c = const.c
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hbar = const.hbar
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# For spinning sphere
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I = (2/5) * mass_kg * radius_m**2
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omega = angular_momentum / I
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v_surface = omega * radius_m
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print(f"\n{name}:")
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print(f" Natural surface velocity: {v_surface/c:.3f}c")
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if v_surface > c:
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# What force would prevent this?
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# If confined to move at max 0.9c:
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v_max = 0.9 * c
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omega_max = v_max / radius_m
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L_max = I * omega_max
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# Force needed to prevent exceeding this
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# This is like a spring force: F = k(r - r0)
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# Or in QCD: F = σr (string tension!)
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# The "excess" angular momentum that must be absorbed
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L_excess = angular_momentum - L_max
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# This creates a restoring force
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# F ~ L_excess / r² (dimensional analysis)
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F_tether = L_excess / (radius_m**2)
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print(f" Would violate c by factor: {v_surface/c:.1f}")
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print(f" Tethering force needed: {F_tether:.2e} N")
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print(f" This looks like QCD confinement!")
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return F_tether
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else:
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print(f" No tethering needed - subcritical")
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return 0
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def test_fusion_hypothesis():
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"""What if particles fuse when approaching c?"""
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print("\n" + "="*60)
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print("FUSION HYPOTHESIS")
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print("="*60)
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me = const.m_e
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hbar = const.hbar
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# Single electron at nuclear scale
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r_nuclear = 1e-15
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I_single = (2/5) * me * r_nuclear**2
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omega_single = (hbar/2) / I_single
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v_single = omega_single * r_nuclear
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print(f"Single electron at {r_nuclear*1e15:.1f} fm:")
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print(f" Would need v = {v_single/const.c:.1f}c")
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# Two electrons sharing angular momentum
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I_double = (2/5) * (2*me) * r_nuclear**2
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omega_double = hbar / I_double # Shared angular momentum
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v_double = omega_double * r_nuclear
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print(f"\nTwo electrons sharing spin:")
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print(f" Combined v = {v_double/const.c:.1f}c")
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print(f" Reduction factor: {v_single/v_double:.1f}")
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# Energy released
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E_spin_single = 0.5 * I_single * omega_single**2
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E_spin_double = 0.5 * I_double * omega_double**2
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E_released = 2*E_spin_single - E_spin_double
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print(f"\nEnergy budget:")
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print(f" Released in fusion: {E_released/const.e/1e6:.1f} MeV")
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print(f" This could be mass-energy!")
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def main():
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print("SPEED OF LIGHT AS THE ORIGIN OF FORCES")
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print("="*70)
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print("Hypothesis: Forces emerge to prevent v > c violations")
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cases = [
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("Free quark", const.m_u, 0.3e-15, const.hbar/2),
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("Confined quark", const.m_u, 0.875e-15, const.hbar/2),
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("Electron in atom", const.m_e, 5.29e-11, const.hbar),
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]
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tether_forces = []
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for case in cases:
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F = analyze_speed_limit_force(*case)
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if F > 0:
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tether_forces.append(F)
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test_fusion_hypothesis()
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print("\n" + "="*70)
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print("PHILOSOPHICAL IMPLICATIONS:")
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print("1. The speed of light creates a 'pressure' on spinning objects")
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print("2. This pressure can be relieved by:")
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print(" - Fusion (combining spins)")
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print(" - Tethering (QCD confinement)")
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print("3. Mass itself might be 'frozen' rotational energy")
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print("4. E = mc² because m is spin energy that can't exceed c!")
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if __name__ == "__main__":
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main()
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