Variational Calculus
Grab a curve and watch its integral change. Explore path length, the catenary, the brachistochrone, fixed-time dynamics, Hamilton–Jacobi action fronts, caustics, and Kepler orbits.
Play demo ↗Interactive demos
GitHub Pages demos, Three.js/WebGL/WebGPU experiments, Unity WebGL builds, and interactive supplements to the videos.
Grab a curve and watch its integral change. Explore path length, the catenary, the brachistochrone, fixed-time dynamics, Hamilton–Jacobi action fronts, caustics, and Kepler orbits.
Play demo ↗Explore a search carried by one particle’s wave, with free evolution in a box and a position–spin extension. Compare a controlled mixer and the ordinary amplitude columns.
Choose a demo ↗ Read about our implementation → Grovers algoritm — a refresher →Explore parallel transport, geodesics, geodesic deviation, and tidal forces. Move vectors across a sphere or torus and step through how curvature changes neighboring paths.
Play demo ↗ Read the guide →Steer a charge and watch acceleration send ripples through its electric field. See test particles respond as the changes reach them, or follow the guided tour. Play with a mouse, keyboard, or touch.
Play demo ↗An interactive desktop and VR demo for exploring relativistic observation, including Lorentz contraction and aberration controls. Note: It is meant to be experienced in a VR headset for the full effect.
Play demo ↗Pauli spinor density in a hard-walled three-dimensional box, with Bohmian particles guided by the Pauli current.
Play demo ↗A wave-packet double-slit simulation with Born density, phase view, Bohmian trajectories, and a Pauli-current option.
Play demo ↗A 3D Pauli spinor wave-packet demo with qualitative Stern–Gerlach splitting controls and Bohmian trajectories.
Play demo ↗A wave packet meets a potential barrier, with reflected and transmitted components and Bohmian particle trajectories.
Play demo ↗