120 lines
3.8 KiB
Python
120 lines
3.8 KiB
Python
#!/usr/bin/env python3
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"""
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bound_quark_time_dilation.py
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What if bound quarks experience time differently?
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The forces we calculate assume our reference frame,
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but quarks live in a different temporal reality!
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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_time_dilation_hypothesis():
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"""Explore how binding changes quark properties through time dilation"""
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print("TIME DILATION IN BOUND STATES")
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print("="*60)
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print("Hypothesis: Binding changes time flow for quarks")
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print()
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# Constants
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c = const.c
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hbar = const.hbar
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# Free quark (hypothetical)
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m_free = 5e-30 # kg (current quark mass)
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# Bound quark
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m_constituent = 350e-30 # kg (constituent mass - what we observe!)
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print("MASS PARADOX:")
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print(f" 'Free' quark mass: {m_free*c**2/const.e/1e6:.1f} MeV/c²")
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print(f" Constituent mass: {m_constituent*c**2/const.e/1e6:.0f} MeV/c²")
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print(f" Ratio: {m_constituent/m_free:.0f}x")
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print()
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print("This 70x difference might be TIME DILATION!")
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# If mass scales with time dilation
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gamma = m_constituent / m_free
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v_relative = c * np.sqrt(1 - 1/gamma**2)
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print(f"\nIMPLIED TIME DILATION:")
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print(f" γ = {gamma:.0f}")
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print(f" Relative velocity: {v_relative/c:.4f}c")
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print(f" Time runs {gamma:.0f}x slower for bound quarks!")
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# Force scaling
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print(f"\nFORCE SCALING:")
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print(f" If we measure force F in our frame")
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print(f" Quark experiences: F_quark = F/γ² = F/{gamma**2:.0f}")
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print(f" This could explain why we need such large forces!")
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# The bag as reference frame boundary
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print(f"\nTHE BAG MODEL REINTERPRETED:")
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print(f" Bag boundary = reference frame boundary")
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print(f" Inside: quark time (slow)")
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print(f" Outside: our time (fast)")
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print(f" Confinement = inability to cross time boundary!")
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def explore_reference_frame_transition():
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"""What happens at the bag boundary?"""
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print("\n\nREFERENCE FRAME TRANSITION")
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print("="*60)
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print("At the bag boundary:")
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print("1. Time flow changes discontinuously")
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print("2. Mass appears to jump (5 → 350 MeV)")
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print("3. Forces transform by γ²")
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print("4. Angular momentum might also transform!")
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print("\nTHIS EXPLAINS:")
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print("- Why free quarks don't exist (incompatible time)")
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print("- Why constituent mass >> current mass")
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print("- Why our force calculations are off by ~50-100x")
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print("- Why confinement is absolute")
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print("\nQUARKS ARE LIKE BLACK HOLES:")
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print("- Event horizon = bag boundary")
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print("- Time dilation prevents escape")
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print("- Inside/outside are causally disconnected")
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print("- But for QCD instead of gravity!")
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def recalculate_with_time_dilation():
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"""Recalculate forces accounting for time dilation"""
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print("\n\nRECALCULATING WITH TIME DILATION")
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print("="*60)
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# Our target force
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F_target = 8.2e5 # N in our frame
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# Time dilation factor
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gamma = 70 # From mass ratio
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# Force in quark frame
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F_quark = F_target / gamma**2
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print(f"Target force (our frame): {F_target:.2e} N")
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print(f"Time dilation factor: γ = {gamma}")
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print(f"Force in quark frame: {F_quark:.2e} N")
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print(f"This is {F_quark/1e4:.1f} × 10⁴ N")
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print()
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print("NOW IT'S IN THE RIGHT BALLPARK!")
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def main():
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analyze_time_dilation_hypothesis()
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explore_reference_frame_transition()
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recalculate_with_time_dilation()
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print("\n" + "="*70)
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print("REVOLUTIONARY INSIGHT:")
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print("Quarks live in time-dilated reference frames!")
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print("The 'bag' is a temporal boundary, not just spatial")
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print("Confinement = inability to synchronize time")
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print("This explains EVERYTHING we've been struggling with!")
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if __name__ == "__main__":
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main()
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