Question for physics majors! I've asked several physicists, got unique answers each time. Let's start with object A and B. Object B is moving close to speed of light, relative to Object A. Object B is also emitting light via it's forward facing trajectory, relative to Object A.
I think the problem is reasoning about an object "moving at the speed of light." No object can move that fast.
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If you insist on reasoning about a reference frame moving at c, then the universe collapses in the direction of travel - perfectly flat, and no time elapses. This 'viewpoint at c' doesn't make sense but that's the math (lorentz transformation)
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You can reason about object moving at 0.9999... c and it should work - obviously you cannot move at exactly c if you have mass
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