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File:Spacetime-diagram-closed-universe-proper-coordinates.png

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Summary

Description
English: Comoving worldlines (gray dashed), Lightcone rL (orange), Hubbleradius rH (blue), Particlehorizon rP (green) and Antipode rM (purple) in a closed universe (Ωr=2, Ωk=-1). Coordinates: proper distances r by cosmic time t (x=r, y=t). The Lightcone origin is at the turning point at Scalefactor a=√2 and t=√2/H0 when the Hubbleparameter H=0 and the universe is between expansion and contraction. The Big Bang is at the bottom and the Big Crunch at the top of the vertical t axis.
Date
Source Own work, relativity.yukterez.net/o/bigcrunch.html
Author Simon Tyran, Vienna (Yukterez)
Other versions
big crunch universe (Ωr=2, Ωk=-1) proper
big crunch universe (Ωr=2, Ωk=-1) comoving
big crunch universe (Ωr=2, Ωk=-1) conformal
big crunch universe (Ωr=2, Ωk=-1) polar
big crunch universe (Ωm=2, Ωk=-1) proper
big crunch universe (Ωm=2, Ωk=-1) comoving
big crunch universe (Ωm=2, Ωk=-1) conformal
big crunch universe (Ωm=2, Ωk=-1) polar
closed inflationary universe (ΩΛ=2, Ωk=-1) proper
closed inflationary universe (ΩΛ=2, Ωk=-1) comoving
closed inflationary universe (ΩΛ=2, Ωk=-1) conformal
closed inflationary universe (ΩΛ=2, Ωk=-1) polar
flat universe (Ωr=1) proper
flat universe (Ωr=1) comoving
flat universe (Ωr=1) conformal
flat universe (Ωm=1) proper
flat universe (Ωm=1) comoving
flat universe (Ωm=1) conformal
hyperbolic universe (Ωk>0, ΩΛ=0) proper
hyperbolic universe (Ωk>0, ΩΛ=0) comoving
hyperbolic universe (Ωk>0, ΩΛ=0) conformal
phantom energy (w=-2/3) proper
phantom energy (w=-2/3) comoving
phantom energy (w=-2/3) conformal
big rip universe (w=-4/3) proper
big rip universe (w=-4/3) comoving
big rip universe (w=-4/3) conformal
flat universe (Ωr+Ωm+ΩΛ=1) proper
flat universe (Ωr+Ωm+ΩΛ=1) comoving
flat universe (Ωr+Ωm+ΩΛ=1) conformal
milne model (Ωk=1) proper
milne model (Ωk=1) comoving
milne model (Ωk=1) conformal
milne model (Ωk=1) minkowski

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Captions

Spacetime diagram of a closed radiation dominated big crunch universe, proper distances

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depicts

30 November 2024

File history

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Date/TimeThumbnailDimensionsUserComment
current21:28, 22 January 2025Thumbnail for version as of 21:28, 22 January 20253,840 × 1,304 (242 KB)Yukterezincluding the full roundtrip distance (twice the antipode) as purple dashed curve
06:53, 4 January 2025Thumbnail for version as of 06:53, 4 January 20253,840 × 1,304 (206 KB)Yukterezinclude the maximal separation distance rM=πrk with rk=c/H/√[-Ωk]
07:24, 30 December 2024Thumbnail for version as of 07:24, 30 December 20243,840 × 1,304 (209 KB)Yukterezminor color corrections
03:42, 30 December 2024Thumbnail for version as of 03:42, 30 December 20243,840 × 1,304 (193 KB)Yukterezadjusting the grid
21:25, 1 December 2024Thumbnail for version as of 21:25, 1 December 20243,840 × 1,304 (173 KB)YukterezUploaded own work with UploadWizard

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