20.500.12556/RUL-175109 Optimal version of the fundamental theorem of chronogeometry We study lightlikeness preserving mappings from the $4$-dimensional Minkowski spacetime $\mathcal{M}_4$ to itself under no additional regularity assumptions like continuity, surjectivity, or injectivity. We prove that such a mapping $\phi$ satisfies one of the following three conditions. (1) The mapping $\phi$ can be written as a composition of a Lorentz transformation, a multiplication by a positive scalar, and a translation. (2) There is an event $r\in \mathcal{M}_4$ such that $\phi(\mathcal{M}_4\setminus\{r\})$ is contained in one light cone. (3) There is a lightlike line $\ell$ such that $\phi(\mathcal{M}_4\setminus \ell)$ is contained in another lightlike line. Here, a line that is contained in some light cone in $\mathcal{M}_4$ is called a lightlike line. We also give several similar results on mappings defined on a certain subset of $\mathcal{M}_4$ or the compactification of $\mathcal{M}_4$. fundamental theorem of chronogeometry special relativity coherency preserving mapping true false true Angleški jezik Angleški jezik Članek v reviji 2025-10-16 10:54:26 2025-10-16 10:54:30 2025-12-06 03:47:29 0000-00-00 00:00:00 2025 0 0 85 str. part C, art. no. 110528 Vol. 480 Nov. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-11-01 530.12:514.7 0001-8708 10.1016/j.aim.2025.110528 253408515 1-s2.0-S0001870825004268-main.pdf 1-s2.0-S0001870825004268-main.pdf 1 194611E8223429B491466BF40CD03221 051ff52304e308668a9d702f31d99299a2641ae7e72af68a5404d642f65aead1 e4e07623-aa6d-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=220183 https://www.sciencedirect.com/science/article/pii/S0001870825004268 1 77032b4b-aa6d-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=220182 Fakulteta za matematiko in fiziko 0 0 0