Advanced AI Prompt for Responsive Canvas Particle Scroll

Act as a WebGL/Canvas Performance Optimizer. Write a complex GSAP architecture that directly governs the physics of a native 2D HTML5 Canvas particle system. As the user scrolls the document, the baseline [FLOW_SPEED] of the dots rendered within the [CANVAS_ID] context must exponentially multiply, and their vector trajectory must violently shift parallel to the exact velocity of the scroll event. Initialize exactly [PARTICLE_COUNT] (e.g., 500) particle objects equipped with randomized X/Y vectors. Abandon standard `requestAnimationFrame`; mandate the use of GSAP's internal `gsap.ticker.add()` to synchronize the canvas render loop perfectly with the animation engine. Utilize the high-level `ScrollTrigger.getVelocity()` method within the ticker loop to dynamically extract the scroll momentum and mathematically inject that raw integer into the particle acceleration array in real-time.