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- W2099645439 abstract "This paper presents four asymptotic conditions of smooth worldlines in Minkowski space that are often used in special relativistic particle dynamics. (A) Permanency with respect to an observer's time. (B) Permanency with respect to the proper time. (C) Finiteness of the gamma factor. (D) Intersection with the light cone of any apex. The conditions (B) and (D) are free from observers and it is verified that (A) and (C) are invariant conditions for all inertial observers. To examine the inclusion relations between (A), (B), (C) and (D), some inclusion relations are proved and some are denied by counter examples. Then the concluding Venn diagram is obtained. Such researches must interest theoretical physicists who unintentionally use one or plural number of these conditions." @default.
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- W2099645439 date "1993-05-15" @default.
- W2099645439 modified "2023-09-27" @default.
- W2099645439 title "Some Asymptotic Conditions of Worldlines in Minkowski Space" @default.
- W2099645439 cites W2055977144 @default.
- W2099645439 doi "https://doi.org/10.1143/jpsj.62.1495" @default.
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