The expansion of the universe and the increase in entropy are related but distinct concepts. While the universe is indeed expanding, and entropy tends to increase over time, this does not lead to a steady state universe in the conventional sense.
The expansion of the universe refers to the observation that galaxies, clusters of galaxies, and other cosmic structures are moving away from each other on large scales. This expansion is supported by various lines of evidence, such as the redshift of distant galaxies and the cosmic microwave background radiation.
On the other hand, entropy is a measure of the disorder or randomness in a system. According to the second law of thermodynamics, the entropy of a closed system tends to increase over time. This means that systems naturally move towards a state of greater disorder.
The expansion of the universe does not directly imply a steady state universe because it is the metric expansion of space itself, rather than the increase in disorder within the universe. While entropy tends to increase in isolated systems, it does not necessarily dictate the behavior of the entire universe.
The concept of a steady state universe, which proposes that the universe remains essentially unchanged over time, has been largely replaced by the Big Bang theory, which describes the origin and evolution of the universe from an initial hot and dense state. According to current scientific understanding, the universe began with the Big Bang and has been expanding ever since. The increase in entropy is consistent with the second law of thermodynamics but does not imply a steady state universe.
In summary, the expansion of the universe and the increase in entropy are separate concepts, and the expansion does not result in a steady state universe.