There are two relativistic problems in explaining why observations in the universe are the way they are. One is for the evolutionary model of cosmology, resting on the Big Bang hypothesis, which is called The Horizon Problem. The other is for the main opposing view, which, due to its affirmation of a young age to the entire cosmos needs to somehow explain why light from sources billions of light-years away can be seen on earth if only c. 6,000 years have passed since the beginning. This is called the Distant Starlight Problem. There are various solutions proposed for each problem, by the proponents of each view of the universe: the evolutionary model and the 'creationist' model. Below are short quotations from scientific articles in Creation literature to introduce you to the main proposed solutions and give enough of an explanation of each to give you the big idea of how they deal with the issue. Links to the articles themselves are included for your convenience and to give you the opportunity for further in-depth study.
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"...the speed of light may have been much greater in the past (Norman and Setterfield 1987), that Einstein’s general relativity with appropriate boundary conditions (Humphreys 1994, 1998, 2007, 2008) or with appropriate extensions (Hartnett 2007) can accommodate a young Universe, and that the problem itself assumes an arbitrary choice of convention for synchronizing clocks (Lisle 2010; Newton 2001)."
"The idea that time may have run at different rates in different places in the universe (“time dilation”) is a central feature of some recent creationist cosmological models (Hartnett 2007; Humphreys 1994, 1998, 2007, 2008). This is used to solve the distant starlight problem, and further investigation into these models may conceivably lead to explanations for some of the phenomena described above. For example, many of the observations relating to galaxies and their stellar populations could be explained by a model that has billions of years passing within those galaxies before the light that we see was emitted."
Humphreys explaining his model:
"Again, let’s imagine that God sets the values of the three factors in eq. (24) to give a contraction speed of –c. As each galaxy emerges from the receding timeless zone, it resumes emitting light. Some of the emitted light will be going inward toward the centre. Because the timeless sphere is moving inward at the speed of light, the inbound light will follow right behind the sphere as it shrinks. When the sphere reaches zero radius and disappears, the Earth emerges, and immediately the light that has been following the sphere will reach earth, even light that started billions of light years away. The stretching of the fabric of space has been occurring continuously all along the light trajectory, thus red-shifting the light wavelengths according to eq. (21).
On Earth, it is still only the fourth day. An observer on the night side of the earth would see a black sky one instant, and a sky filled with stars the next instant. With a telescope he would be able to see distant galaxies having suitably red-shifted spectra."
"The new metric I derived in 2007 has yielded several interesting results. One is a straightforward explanation of the Pioneer anomaly. In this paper, it has revealed a new type of time dilation, achronicity. The fundamental cause of achronicity appears to be that gravitational potential becomes so negative that the total energy density of the fabric of space becomes negative. That stops the propagation of light, all physical processes, and all physical clocks, thus stopping time itself."
The Pioneer Anomaly:
"A broad class of creationist cosmologies offer an explanation for the ‘Pioneer effect’, an apparent small Sunward anomalous acceleration of the Pioneer 10 and 11 spacecraft. If a large volume of empty space surrounds the matter of the cosmos, so that the cosmos can have a centre of mass, then the matter is in a deep gravitational potential ‘well’. If space is expanding and spreading the matter outward, then the depth of the well is decreasing. According to general relativity, especially a new solution of Einstein’s equations derived in the Appendix (which also deals with Birkhoff’s theorem), the decreasing depth continuously shortens ‘radar’ distances within the well, causing the observed apparent acceleration. The magnitude of the anomalous acceleration implies the bottom of the potential well has not yet risen very far above the critical depth for gravitational time dilation. Thus the Pioneer effect supports the essentials of several creationist cosmologies: a centre of mass, expansion of space and recent time dilation. Big bang theorists, whose cosmology does not have a centre of mass, cannot use this explanation. As yet, they have no alternative theory upon which they agree." [emphasis added]
Discussion of Light Speed. Excerpt is about measuring the speed experimentally.
Riemannian Space-Time implies light could take shortcuts through space.
The formula for converting straight-line to curved space is:
where r is the Euclidean or straight-line distance, and R is the radius of curvature of Riemannian space. Using this formula, and a radius of curvature of 5 light-years for Riemannian space, the time for light to reach us from points in our own solar system is practically the same for either Euclidean or Riemannian distances, and there is not much of a change even out to the nearest star (4 1/2 light-years). But if we insert an infinite Euclidean distance for the farthest conceivable star, it would take only 15.71 years for light to reach us from that distance!"
These are 3 fundamentally different categories of explanations for how distant light could get to earth within a short time-frame (as measured on earth).
~ Rak Chazak