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Formalization of the “Twin Paradox” for Non-uniformly Accelerated Motions |
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| Authors: | Dino Boccaletti Francesco Catoni Vincenzo Catoni |
| Institution: | (1) Dipartimento di Matematica, Università di Roma “La Sapienza”, Roma, Italy;(2) ENEA – Centro Ricerche Casaccia, Via Anguillarese, 301 00060, S. Maria di Galeria, Roma, Italy |
| Abstract: | The use of hyperbolic numbers for studying space-time geometry and trigonometry is extended for demonstrating the Frenet’s formulas in space-time. By means of this introduction the twin paradox for non-uniformly accelerated motions is formalized in a straightforward way. |
| Keywords: | Space-time twin paradox special relativity pseudo-Euclidean Frenet’ s formulas |
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