Considerations of a k=+1 Varluminopic Cosmology

الأصل · EN

Every relativistic particle has 4-speed equal to c, since gμν dxμ/dτ dxν/dτ = c². 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 S³ₐ = {x ∈ R⁴: (x, x) = a²}. Thus, a particle at rest in the cosmological frame has 4-speed equal to da/dt. This leads us to infer that 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.