No, a spot of light on a wall produced by a fast rotating laser cannot travel faster than light, and it does not violate the law that information cannot travel faster than light.
When we see a spot of light on a wall, it is because light emitted from the laser is reflecting off the wall and reaching our eyes. The speed of light in a vacuum is constant and is denoted by 'c,' which is approximately 299,792,458 meters per second.
The speed at which the laser rotates or moves does not affect the speed of light itself. The spot of light on the wall will always travel at the speed of light, regardless of the speed or motion of the laser. The motion of the laser only determines the direction in which the light is projected, not its speed.
It's important to note that information cannot be transmitted faster than the speed of light. Even if the spot of light is rapidly moving across the wall, it does not convey any meaningful information faster than light. The movement of the spot is a result of the light reflecting off the wall, but the information itself is carried by the light and travels at the speed of light.
So, while the spot of light can move quickly across the wall, it does not violate the fundamental principle that information cannot travel faster than light.