Spacetime Curvature Grid (2D)

This 2D companion draws the same Schwarzschild curvature as the 3D scene as a flat isometric rubber-sheet grid: raising the mass slider deepens an exact Flamm-paraboloid well (z = 2√(rs(r−rs))), and a test particle dropped anywhere on the grid is integrated frame by frame using the real embedding slope as a pseudo-gravitational pull along the surface, so you can watch it settle into a near-circular orbit, escape outward, or spiral into the horizon ring depending on the tangential kick you give it — with live radius, speed and state readouts plus circular-orbit, radial-infall and escape presets.