| Naslov: | Optimal version of the fundamental theorem of chronogeometry |
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| Avtorji: | ID Mori, Michiya (Avtor)
ID Šemrl, Peter (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (2,86 MB)
MD5: 97AAFB0EC9379F2A5ACFFC55B1525C6B
 URL - Izvorni URL, za dostop obiščite https://www.sciencedirect.com/science/article/pii/S0001870825004268
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | 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 $\mathcal{M}_4$. |
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| Ključne besede: | fundamental theorem of chronogeometry, special relativity, coherency preserving mapping |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.11.2025 |
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| Leto izida: | 2025 |
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| Št. strani: | 85 str. |
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| Številčenje: | Vol. 480, part C, article no. 110528 |
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| PID: | 20.500.12556/DiRROS-23879  |
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| UDK: | 530.12:514.7 |
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| ISSN pri članku: | 0001-8708 |
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| DOI: | 10.1016/j.aim.2025.110528 |
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| COBISS.SI-ID: | 253408515 |
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| Opomba: |
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| Datum objave v DiRROS: | 16.10.2025 |
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| Število ogledov: | 199 |
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| Število prenosov: | 84 |
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| Metapodatki: |    |
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