Spacetime without Reference Frames: An Application to the Velocity Addition Paradox |
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| Institution: | 1. Department of Nanomedicine, Houston Methodist Hospital Research Institute, Houston 77030, USA;2. Department of Medicine, Weill Cornell Medicine, New York 10065, USA;3. Department of Cell and Developmental Biology, Weill Cornell Medicine, New York 10065, USA;1. Faculty of Mathematics, Al. I. Cuza University of Iaşi, 700506 Iaşi, Romania;2. Octav Mayer Mathematics Institute, Romanian Academy, 700505 Iaşi, Romania;3. University of Salerno, via Giovanni Paolo II n. 132, 84084 Fisciano, SA, Italy;1. Faculty of Mathematics, Al. I. Cuza University of Iaşi, 700506 Iaşi, Romania;2. Octav Mayer Mathematics Institute, Romanian Academy, 700505 Iaşi, Romania;3. University of Salerno, via Giovanni Paolo II n. 132, 84084 Fisciano, SA, Italy;1. Department of Mathematics, Computer Science and Economics, University of Basilicata, Campus Macchia Romana, Viale dell’Ateneo Lucano 10, 85100 Potenza, Italy;2. Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, Italy |
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| Abstract: | Much conceptualisation in contemporary physics is bogged down by unnecessary assumptions concerning a specific choice of coordinates which often leads to misunderstandings and paradoxes. Considering an absolute (coordinate-free) formulation of special relativistic spacetime, we show clearly that the velocity addition paradox emerged because the use of coordinates obscures that the space of relativistic observers is ‘more relative’ than the space of non-relativistic observers. |
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