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The problem I'm having is of very basic nature however I might have some trouble wording it. I understand an event is something that happens independent of frame of reference. Lets say we have two frames S and S' with a relative speed of v along the x axis. If an event occurs at some point x, and we figure out x', when looking separately at each frame of reference the event would be at a fixed point in each frame correct? I mean if S is looking at S' and an event occurs at x = 10, S sees S' moving toward the event. When we figure out x' for S', would the event be fixed in that frame at x' or would there be any movement between the frame and the event in the S' frame... I hope I got across my question and thank you in advance for any attempts at an answer :P...