Considerations of a $k=+1$ Varluminopic Cosmology

dc.creatorMaruskin, Jared M.
dc.date2005-11-21
dc.date.accessioned2026-07-07T06:49:43Z
dc.date.available2026-07-07T06:49:43Z
dc.descriptionEvery relativistic particle has 4-speed equal to $c$, since $g_{μν} \frac{dx^μ}{dτ} \frac{dx^ν}{dτ} = c^2$. With the choice of $k = +1$ in the FRW metric, the cosmological scale factor $a(t)$ has the natural interpretation of the radius of the sphere $S^3_a = \{x \in \mathbb{R}^4 : (x, x) = a^2\}$. Thus, a particle at rest in the cosmological frame has 4-speed equal to $\frac{da}{dt}$. This leads us to infer that $\dot a = c$, which respresents a simple kinematic constraint linking the speed of light to the cosmological scale factor. This drastically changes the $k=+1$ picture from a closed deaccelerating universe to an open accelerating universe, settles the horizon problem, and provides for a new cosmological model more appealing to our natural intuition. In this paper we shall consider ramifications of this model.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0511116
dc.identifierhttp://arxiv.org/abs/gr-qc/0511116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104459
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleConsiderations of a $k=+1$ Varluminopic Cosmology
dc.typetext

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