I'm just starting to learn about relativity, and I just can't wrap my head around this one question. I must be imagining something incorrectly. My understanding is that everything is traveling at "the speed of light," be it through space or time. So if light is traveling along the space axis alone, it should appear to someone only moving through time to appear for one moment and be gone the next.
I have some guesses about what I'm imagining wrong, but I hope someone can help me get a better handle on it. I'm realizing that in my conception, light would experience everything else as totally frozen in time, but there would be no "space compression" like I know is supposed to exist.
I assume that the picture in my mind is incorrect because I'm making the speed of light infinite, but I don't have a feel for what the picture would look like if this were not true.