I love these CRT shaders but have always wondered, has anyone thought about or worked on a physically accurate simulation of a CRT television? Something that takes a framebuffer as input and simulates the electric signals that control the magnets around the tube, how those magnets affect the electron beam, how the beam interacts with the shadowmask, etc. elements in the front of the tube, and finally how each individual phosphor on the screen is illuminated by the beam.

I wouldn't even worry about doing stuff in real time to start with, instead just focus on the most accurate physical simulation possible. Then use the learnings from the simulation to try to create more accurate shaders that any program could use for simulating CRT tubes.