Real-time gravitational lensing simulation. A ray-marching fragment shader bends null geodesics around a Schwarzschild black hole, producing the photon ring, relativistic doppler beaming on the accretion disk, and chromatic aberration.

Controls

• Drag — orbit camera
• Scroll / + / − — zoom
• W A S D / Arrow keys — orbit
• Space — pause / resume
• R — reset parameters

Parameters

• Lensing — gravitational ray-bending intensity
• Doppler — relativistic beaming gain on disk
• Disk Speed — accretion disk orbital speed (Keplerian)
• Aberration — chromatic aberration at photon ring