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It is possible, and astronomy proves that all the time... to differentiate 'light' from 'darkness' requires a minimum number of photons from source per unit time, per unit area of light receptor - for an infinite universe to appear as 'light' would also require an infinite time for reception ... longer time exposures by very high resolution receptors are finding more sources of light in what previously appeared to be 'dark' blank spaces...
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Only because those sources of light are isolated. If the universe is infinitely old and infinitely large, then no matter where you look, there would be a star, and the sky would be a continuous field of them.