Title: Young earth relativistic cosmology

Author: P.W. Dennis

Category: Stellar and Planetary Sciences

Conference Year: 2018

Abstract: We present a young earth creationist (YEC) model of creation that is consistent with distant light from distant objects in the cosmos. We discuss the reality of time from theological/philosophical foundations. This results in the rejection of the idealist viewpoint of relativity and the recognition of the reality of the flow of time and the existence of a single cosmological "now." We begin the construction of the YEC cosmology with an examination of the "chronological enigmas" of the inhomogeneous solutions of the Einstein field equations (EFE) of General Relativity (GR). For this analysis we construct an inhomogeneous model by way of the topological method of constructing solutions of the EFE. The topological method uses the local (tensorial) feature of solutions of the EFE that imply that if (M, g) is a solution then removing any closed subset X of M is also a solution on the manifold with MA = M - X and the restriction gA = g|MA. Also, if (MA, gA) and (MB, gB) are solutions of the EFE in disjoint regions then the "stitching" together of (MA, gA) and (MB, gB) with continuous boundary conditions is also a solution. From this we show conceptually how an approximate "crude" model with a young earth neighborhood and an older remote universe can be constructed. This approximate "crude" model suffers from having abrupt boundaries. This model is an example of a spherically symmetric inhomogeneous spacetime. We discuss the class of exact spherically symmetric inhomogeneous universes represented by the Lemaître-Tolman (L-T) class of exact solutions of the EFE. A more realistic model refines this technique by excising a past subset with an asymptotically null spacelike surface from the Friedmann-Lemaître-Robertson-Walker (FLRW) cosmology. We build the model from the closed FLRW solution by selecting a spacelike hyperboloidal surface as the initial surface at the beginning of the first day of creation. This surface induces, by way of embedding into FLRW space-time, an isotropic but radially inhomogeneous matter density consistent with the full FLRW space-time. The resulting space-time is a subset of the usual FLRW space-time and thus preserves the FLRW causal structure and the observational predictions such as the Hubble law. We show that the initial spacelike surface evolves in a consistent manner and that light from the distant "ancient" galaxies arrive at the earth within the creation week and thereafter. All properties of light arriving from distant galaxies retain the same features as those of the FLRW space-time. This follows from the fact that the solution presented is an open subset of the FLRW space-time so that all differential properties and analysis that applies to FLRW also applies to our solution. Qualitatively these models solve the distant star light problem and from a theological point of view, in which God advances the (cosmic) time of the spacelike hypersurfaces at a non-uniform rate during the miraculous creation week, solve the distant light problem. We conclude by briefly discussing possible objections of some of our key assumptions and showing that a relativist cannot consistently object to our assumptions based on the merely operationalist point of view that an absolute spacelike "now" cannot be empirically determined.