Advanced AI Prompt for Three.js Particle Vortex Simulation

Act as a Mathematical Data Visualizer. Architect a terrifyingly beautiful Three.js particle vortex that dynamically spirals around a central Y-axis. Define the absolute outer bounds via [VORTEX_RADIUS] and the rotational velocity via [SWIRL_INTENSITY]. The particles must be subjected to a relentless [CENTER_GRAVITY] force pulling them into the 'black hole' while their sizes interpolate dramatically across the [PARTICLE_SIZE_RANGE] as they approach the center. Implement the core spiral trajectory logic by calculating polar coordinates (radius, theta) and converting them into Cartesian (X, Y, Z) coordinates natively within the GPU update loop. Implement a sophisticated trailing effect by rendering a semi-transparent black plane over the canvas on every frame instead of clearing the buffer.