I have a rare earth magnet. It is very strong. And, guess what, it does not alter the light that passes near it. I wonder why?
That is a static magnetic field. No one is claiming that static magnetic fields affect light. A static magnetic field is not the same thing as EM radiation.
Light is Electromagnetic Radiation, and Electromagnetic Radiation is light. The word "radiation" is the clue here. It includes the entire EM spectrum, including radio and x-rays and gamma rays. It doesn't have to be visible to be light. I refer you to Maxwell's equations.
However, your magnet is made of matter and is warmer than absolute zero, so it will also emit some EM radiation far into the infrared. The magnet emits EM Radiation
not because it's a magnet, it's because it's made of
matter, and
matter is energy,
energy produces light, and for the last time,
light is EM radiation. They're the same thing.
The Electromagnet Accelerator is so named because it affects Electromagnetic Radiation. AKA: light.
I don't understand what is so difficult about this.
Now, unless you're ready to stop trying to compare your refrigerator magnets with EM radiation, I'm finished with this fruitless conversation. There's little point in continuing the discussion if you don't understand even the most basic concepts of light.