3D RR-NS String-Brane Interaction Visualizer

𝔅₃-Brane Coordinate Space 🖱️ Click & drag to rotate | Scroll to zoom

2D Circle Space 𝔒

Coupling Strength (κ)

2.500

κ = ∫_𝔒 Tr(C₍₁₎)

NS Field Strength (B₍₂₎)

1.500

B₍₂₎ = d C₍₁₎ ∧ Tr(C₍₁₎)

Fluctuation Variance (σ²)

0.024

σ² ∝ B₍₂₎ · κ⁻¹

RR-NS Sim

Simulation Controls

Window Angle Width (θ_window)

Width: 90°

Controls the size of the highlighted window arc on the fixed 2D circle inset pane.

RR Charge Intensity (Tr C₍₁₎)

Intensity: 4.0

Increases RR charge at the window, accelerating string decay (color attenuation) and stabilizing fluctuations.

NS Field (B₍₂₎ Fluctuations)

Fluctuations: 5.0

Modifies the 3-dimensional coordinate fluctuations of the string inside the rotatable 𝔅₃-brane.

Camera Zoom

Zoom: 1.5x

Controls the scaling of the 3D projection viewport. You can also scroll on the canvas to zoom in and out.

Choropleth Color Map

The string is colored by a gradient representing local RR potential density. It is highly intense (glowing cyan) at the circle window, attenuating as it approaches the 3D 𝔅₃-brane.

Endpoint Fluctuations

Consistent with $S_B[\Sigma] = \int B_{(2)}$, the string ends inside the 𝔅₃-brane volume, undergoing stochastic vibrations whose amplitude $\sigma^2$ is boosted by $B_{(2)}$ and stabilized by the coupling $\kappa$.