This is due to it being impossible for having different observes of a particular "beam" of light. Unless the medium for which light must travel through is different (like the vacuum of space and a body of water), are in line with each other, and a laser is the beam.., you simply can't separate an observers light path, from your own. This is why you've never seen a sideview of light going past you to someone else., not in a consistent medium. Maybe in a forest as the sun comes up, and it's a bit foggy., that's about as close to what I think you're getting at is possible. Until you can move at much higher velocities than maybe you'll get a chance to see light going by you., until then.., an artist's rendition is the best approximation for such.
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