File:Milne.minkowski.spacetime.diagramm.png
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Summary
| Description |
English: Milne model in static Minkowski coordinates. rH is the proper distance Hubble radius, xH and vH is the Hubble radius and velocity measured with stationary (relative to the central observer) clocks and rulers. The hyperbolas show curves of constant t (t is the proper time of the comoving worldlines). The Hubble radius (blue) recedes with a rapidity of c (measured with comoving clocks and rulers) and a velocity of tanh(1)=0.7616c (measured with static clocks and rulers). The particle horizon (green) receides infinitely fast in proper and comoving coordinates, but with 1c in Minkowski coordinates. The light cone is orange (solid for the past and dashed for the future). Hypersurface of constant t (red) and T (pink). Coordinates: static distance x by central time T (x=x, y=T). Doublechecked with Figure 1 in DOI:10.48550/arXiv.2005.01968 |
| Date | |
| Source | Own work, relativity.yukterez.net/o/milne.html |
| Author | Simon Tyran, Vienna (Yukterez) |
| Other versions |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 00:27, 8 January 2025 | | 3,840 × 2,096 (431 KB) | Yukterez | full opacity for the curves |
| 08:01, 7 January 2025 |  | 3,840 × 2,096 (474 KB) | Yukterez | color correction | |
| 07:11, 7 January 2025 |  | 3,840 × 2,096 (474 KB) | Yukterez | include the hypersurfaces of constant t and T | |
| 03:40, 3 January 2025 |  | 3,840 × 2,096 (453 KB) | Yukterez | including the particle horizon in terms of x, which is cT in this coordinates and infinite in proper (rP) and comoving (RP) ones | |
| 05:55, 29 December 2024 |  | 3,840 × 2,096 (471 KB) | Yukterez | use the same color opacity as in the other models | |
| 02:48, 29 December 2024 |  | 3,840 × 2,096 (473 KB) | Yukterez | spreading the comoving worldlines proportional to the density instead of evenly | |
| 06:51, 28 December 2024 |  | 3,840 × 2,096 (301 KB) | Yukterez | pixel correction | |
| 06:44, 28 December 2024 |  | 3,840 × 2,096 (301 KB) | Yukterez | minor color corrections | |
| 21:50, 27 December 2024 |  | 3,840 × 2,096 (392 KB) | Yukterez | minor pixel cosmetics | |
| 19:50, 27 December 2024 |  | 3,840 × 2,096 (392 KB) | Yukterez | darker background color, less comoving worldlines |
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