The entropy on Earth does not directly correlate with the expansion of the universe. The expansion of the universe is a concept related to the overall evolution and dynamics of the universe on cosmological scales. It describes how the distances between galaxies and other cosmic structures are increasing over time.
Entropy, on the other hand, is a measure of the disorder or randomness within a system. It is related to the distribution of energy and the number of possible microscopic states a system can have. Entropy is a local property and is typically used to describe the behavior of systems on smaller scales, such as within a specific region or within a particular physical system.
While both the expansion of the universe and entropy are fundamental concepts in physics, they operate at different scales and have different implications. The expansion of the universe is driven by the dynamics of space-time itself, as described by general relativity. On the other hand, entropy is governed by the principles of statistical mechanics and thermodynamics.
However, it's worth noting that the increase in the total entropy of the universe, as dictated by the second law of thermodynamics, is related to the expansion of the universe. As the universe expands, the available volume and the number of possible states for the constituents of the universe also increase. This leads to an overall increase in the entropy of the universe. The expansion of the universe contributes to the overall increase in entropy, but it does not directly determine or correlate with the specific entropy of localized systems such as Earth.