File:Big-crunch spacetime-diagram matter-dominated proper-distances.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 (Ωm=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=π/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	16 January 2025
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 big rip universe (Ωr+Ωm+ΩΛ=1) proper big rip universe (Ωr+Ωm+ΩΛ=1) comoving big rip universe (Ωr+Ωm+ΩΛ=1) 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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File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Dimensions	User	Comment
current	21:36, 22 January 2025	3,840 × 1,424 (263 KB)	Yukterez	accidentally uploaded the wrong model last time
	21:27, 22 January 2025	3,840 × 1,424 (272 KB)	Yukterez	including the full roundtrip distance (twice the antipode) as purple dashed curve
	06:26, 16 January 2025	3,840 × 1,424 (222 KB)	Yukterez	increased the numerical precision
	02:44, 16 January 2025	3,840 × 1,424 (233 KB)	Yukterez	Uploaded own work with UploadWizard