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Arrow Chain

Each click picks a random angle and adds one arrow tip-to-tail.

Spacetime Paths x(t)
Complex Sum (Argand)
Arrows: 0
Near-classical Far-from-classical Classical path Mean path Resultant (net sum)
Live Step: Waiting…
Normalized probability: 0.00
Monte Carlo ⟨A⟩: --
Exact (scaled): --
Error metric: --
Stability: --
Δ mean: --
Error history: --
What you’re seeing: each arrow is one random path. We compute its action S, set its angle θ = S/ħ, and add it tip‑to‑tail. Near‑classical paths (lowest action in the batch) point similarly and reinforce. Far‑from‑classical paths rotate wildly and cancel out.
Purple line: the resultant vector in the complex plane (right panel). Its length is |ΣA|. The plotted probability is |ΣA|² / N² (normalized by sample count).
Last angle: --
Last action: --
Last length: --
Mean angle: --
Resultant length: 0.00
Angles (deg):
--
Actions S:
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