Big bang has a light-travel-time problem

It is often claimed by anti-biblical creationists that believing the literal Creation account as described in the first 11 chapters of Genesis is the same as believing in pseudosciences like alchemy, astrology, and even a flat Earth. The reason they say this is because some galaxies are billions of light-years distant from us in the universe, so how could light travel to Earth in the 6 thousand years available since the Creation? Surely light could only travel 6000 light-years in 6000 years. That is not even outside our galaxy.  This is then called a light-travel-time problem. But the most accepted model describing the origin of the universe, the hot big bang inflation model has a light-travel-time problem. It is called the horizon problem.

662px-Horizon_problem.svg

From Wikipedia

The horizon problem can be understood best from the illustration (left). First imagine two points on the last scattering surface (LSS) of the big bang fireball that were initially much closer together. We now allegedly see radiation in the Cosmic Microwave Background (CMB) coming from these points on that putative source 13.8 billion years after the universe has expanded by an expansion factor of about 1100. According to the theory, by the time the radiation gets to our vicinity in the universe it has cooled by the same expansion factor, and we measure its temperature in the CMB at almost a uniform temperature of 2.72548±0.00057 K (-270 °C), which is uniform to about 1 part in 100,000. That is, it is at the same temperature for all directions in space. It is extremely uniform. So how is that possible?

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