Polyakov / Nambu–Goto Action Visualizer
Open string with extra target-space dimensions. Worldsheet area ≡ action/T. Deterministic extras for stable 3D↔10D round-trips.
▶ Play
⏸ Pause
↺ Reset
⏭ Step
🎲 Randomize
🔁 Auto Randomize: OFF
🔄 Cycle Presets: OFF
🔊 Test Voice
Preset: —
safe-step mode
String tension T (units: 1/2π α')
Length L
Mode number n (Y₁)
Amplitude A (Y₁)
Time span Δτ for S
Simulation speed
Step size Δt
Total spatial dims (x + transverse)
3D (x + Y₁)
4D (x + Y₁,Y₂)
5D (x + Y₁..Y₃)
6D (x + Y₁..Y₄)
7D (x + Y₁..Y₅)
8D (x + Y₁..Y₆)
9D (x + Y₁..Y₇)
10D (x + Y₁..Y₈)
Projection mode
Y→Y, Y₂→Z, color=‖rest‖
Mix: Z = α·Y₂ + β·Y₃, color=‖rest‖
Flat: Z=0, color=‖all Y⃗‖
α (mix weight)
β (mix weight)
Seed (extras)
🔀 Randomize extras (new seed)
🧭 Verify Round-Trip 10D→3D→10D
Y₂..Yₖ are generated
deterministically
from the seed and the coordinate index. Round-trips 10D→3D→10D now give identical extras.
Worldsheet divisions (τ)
Worldsheet divisions (σ)
Integration gridT
Integration gridS
Auto-randomize every (s)
Auto recompute S
Interactions (visual only)
Enable interactions
Actor B preset
Actor C preset
Extra actors (D–O) count
Weights (A:B:C:…)
Coupling K (0–1)
Photon drive ε
Reset phases
Axes & labels
Show axes & labels
Effective particle
Show particle
Particle mode
Midpoint (σ=π/2)
Center of mass (discrete)
Endpoint (σ=0)
Endpoint (σ=π)
Trail length (s)
Recompute S
🧪 Run Tests
Computed quantities
S ≈ …, worldsheet area ≈ …, ⟨E⟩ ≈ …
Tests have not been run.
Preset
Voice-over captions
Voice rate (0.5–2)
Cycle Presets uses the same interval as Auto-randomize. When paused, cycling also pauses.