Feynman Visual Appendix

Feynman's Visual Appendix - Path Integrals & Perpendicular Solution

◊ᶠᴱʸᴺᴹᴬᴺ VISUAL APPENDIX

Interactive Simulations for the Perpendicular Solution

Feynman's Note: I learn by SEEING. So should you. These aren't just pretty pictures - they're the ACTUAL PHYSICS happening in the pedestal. Play with the controls. Watch what happens. That's how you understand.

Simulation 1: The Stopwatch Picture - Path Integrals

Every path a particle can take has a little "stopwatch" that rotates. The rotation rate depends on the action S. When stopwatches from different paths line up (same phase), you get constructive interference - that's where the particle probably goes!

Watch: Three paths at different scales. Micro (fast), Meso (medium), Macro (slow). The pedestal width emerges where ALL THREE align.


Δ_ped = ρ_pol × √(L_shear/ρ_pol) × log(R/a) ≈ 5 × ρ_pol

Simulation 2: Measurement Destabilization

Watch what happens when you turn on diagnostics. Each measurement "collapses" the quantum state, forcing the plasma into a definite value. But the plasma WANTS to explore a range of states. The measurements fight against this natural spread.

Red zone: Natural quantum fluctuation. Blue spikes: Measurement collapses. Width: Total uncertainty.



σ(Δ_ped) = √(σ₀² + α·N) = 0.87 mm

Simulation 3: Multi-Scale Coupling - The Factor of 5

Three scales coupling together: Micro (particle orbits, ρ_pol), Meso (shear layers, L_shear), Macro (global geometry, R/a). Each scale amplifies the next. That's where the factor of 5 comes from!


Simulation 4: Control vs Elimination - Phase Space

Two approaches to stability. Control (RED): Fight to stay at unstable equilibrium - any perturbation requires correction. Elimination (GREEN): Design for stable minimum - perturbations naturally decay.

Watch the ball. Which one would YOU bet on?


Simulation 5: Economic Reality - Cost Over Time

Current approach: High initial cost + continuous operational cost. Perpendicular: Lower initial + minimal operational. The curves speak for themselves.

Savings over 30 years: $283 million

— Richard Feynman

"If you can't explain it simply, you haven't visualized it properly."

◊ᴹᴱᴹᴼᴿʸ⁻ᶜᴼᴹᴾᴸᴱᵀᴱ

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