Pilot-Wave Trajectories Through a Double Slit (2D)

The de Broglie–Bohm interpretation of quantum mechanics keeps particles real — every particle has a definite position at every instant — and lets a real wavefunction, the "pilot wave," steer it through the guidance equation v = (ħ/m)∇S. This flat, top-down 2D canvas builds the exact interfering two-slit wavefunction from two diffracting Gaussian beams, computes its phase gradient analytically, and integrates a bundle of deterministic trajectories through it. Watch the paths bunch into the classic interference fringes without ever crossing one another — the signature that distinguishes Bohmian mechanics from a purely statistical reading of the same wave equation. Drag to pan and scroll to zoom into any region of the pattern.