File:Spacelike and Timelike Invariant Hyperbolas.png
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![File:Spacelike and Timelike Invariant Hyperbolas.png](https://upload.wikimedia.org/wikipedia/commons/thumb/2/29/Spacelike_and_Timelike_Invariant_Hyperbolas.png/800px-Spacelike_and_Timelike_Invariant_Hyperbolas.png?20170528213509)
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[edit]DescriptionSpacelike and Timelike Invariant Hyperbolas.png |
English: In the spacetime diagram on the left, the magenta hyperbolae connect events of equal spacelike separation from the origin, while the green hyperbolae connect events of equal timelike separation from the origin. When viewed with an extra dimension of space, these respectively generate hyperboloids of one sheet and two sheets. Note a confusing point of nomenclature: The magenta hyperbolae, which cross the x axis and represent loci of points separated by constant spacelike distances from the origin, are termed "timelike" (not spacelike) hyperbolae because all intervals along the hyperbola are timelike intervals. Likewise the green hyperbolae, which cross the ct axis, are termed "spacelike" hyperbolae because all intervals along the hyperbolae are spacelike intervals. |
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Source | Own work, a montage of File:Hyperboloid1.png and File:Hyperboloid2.png by User:RokerHRO with my own computer-generated graphics. |
Author | Stigmatella aurantiaca combined with illustrations by User:RokerHRO |
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[edit]I, the copyright holder of this work, hereby publish it under the following license:
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 21:35, 28 May 2017 | ![]() | 900 × 600 (83 KB) | Stigmatella aurantiaca (talk | contribs) | Confusing point of nomenclature |
02:33, 27 April 2017 | ![]() | 900 × 600 (83 KB) | Stigmatella aurantiaca (talk | contribs) | Added letters and swapped sides | |
02:38, 6 April 2017 | ![]() | 900 × 600 (83 KB) | Stigmatella aurantiaca (talk | contribs) | User created page with UploadWizard |
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