What does the plot of the entire universe's Entropy versus Time starting from the big bang look like?
Is it even possible to create such a figure?
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The entropy is going to increase as time increases. The entropy was at zero or at least it is meaningful to put it at zero. As time increases the disorder increases(this happens initially due to the expansion of the universe) as this results in the dispersion of energy. Now the entropy is going to be high but it still not high enough. Thermal equilibrium is when it is said that entropy is at its highest.