In other words, speed of a projection of light from 3d space to 2d space may be higher than the original speed in 3d. (Because one dimension gets squished to 0, so movement in this dimension is perceived to be instant.)
It's like a diagonal of a cube 1x1x1 has length sqrt(3), but if you apply orthogonal projection onto R^2, its image will be a diagonal of a square and it will have length sqrt(2). Shorter distance -> shorter time to travel.
This example doesn't make sense to me. In that analogy, wouldn't anything on that diagonal appear to move more slowly in 2D than the same thing moving along the diagonal of a face? The cube diagonal would make it move farther than it does in 2D space.
I remember seeing a simulator in my optics class that combined multiple wavelengths of light. The interference pattern moved faster than the speed of light, but that was fine because information wasn't moving faster. That was just the result of adding them together.
How is an image not light?
Or do you mean a captured image may show items from different points in time?
But that's only relevant after the photo has been created, not during the window of time that a sensor is capturing light.
Move two light-seconds away and do the same movement. The spot now moves two light-seconds in one second: twice the speed of light. Of course it takes two seconds from when you turn the laser on to when an observer at the wall would see it, and four seconds before you see the spot on the wall, but the spot itself moves faster than light.
A rolling shutter might capture points along the way but leave gaps in comparison. In the laser pointer example, you'd probably want a longer exposure, but the global shutter would still give you uniform capture better matching what your eyes / brain perceived.