In the entropy-modified Friedmann framework, sustained growth of the entropy source (ḟ/f > 0) makes the universe converge to an effective de Sitter state with density (ḟ/f)²/K², and current data bound the required source strength.
Where was past low-entropy?
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I identify where precisely is low-entropy located in the early universe, arguing that some common answers overplay the role of gravity. I discuss the available interpretations of the "improbability" of this early low-entropy.
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Elementary considerations on possible entropy-driven cosmological evolutions
In the entropy-modified Friedmann framework, sustained growth of the entropy source (ḟ/f > 0) makes the universe converge to an effective de Sitter state with density (ḟ/f)²/K², and current data bound the required source strength.