Advanced AI Prompt for Ray-Traced Refractive Spheres

Act as a Ray-Tracing Graphics Programmer. Write an incredibly dense, mathematically complex fragment shader that completely bypasses standard rasterization to render a cluster of hyper-realistic, refractive glass spheres using pure ray-marching logic contained entirely within a single 2D full-screen quad. You must programmatically implement Snell's Law to calculate exact light refraction vectors utilizing an aggressive [IOR_VALUE] (Index of Refraction). Inject a highly calibrated [REFLECTION_STRENGTH] variable based strictly on Schlick's approximation of the Fresnel equations. Force the shader to simulate physical optical [DISPERSION] (chromatic aberration occurring deep inside the glass volume) by slightly offsetting the IOR float for the Red, Green, and Blue light channels independently. The shader must sample an external [ENVIRONMENT_MAP] (HDRI cube map or equirectangular texture) to generate hyper-accurate background distortions and surface reflections.