A Motion Paradox from Einstein’s Relativity of Simultaneity

We are describing a new and potentially important paradox related to Einstein’s theories of special relativity and relativity of simultaneity.1 We fully agree on all of the mathematical derivations in Ein- stein’s special relativity theory and his result of relativity of simultaneity when using Einstein-Poincar e synchronized clocks. The paradox introduced shows that Einstein’s special relativity theory leads to a motion paradox, where a train moving relative to the ground (and the ground moving relative to the train) must stand still and be moving at the same time. We will see that one reference frame will claim that the train is moving and that the other reference frame must claim that the train is standing still in the time window “between” two distant events. This goes against common sense and logic. However, looking back at the history of relativity theory, even time dilation was going against common sense and a series of academics attempted to refute it.2 Still, based on this new paradox we have to ask ourselves if the world really can be that bizarre, or if Einstein’s special relativity could be incomplete in some way? We are not going to give an answer to the second question in this paper, but we will simply present the new paradox.