Determining the total entropy of the universe is a complex question with fascinating implications, but it doesn't have a straightforward answer. Here's why:
Challenges:
Definition: Defining "entropy" for the entire universe, which might not be in thermal equilibrium, is challenging. Existing thermodynamic principles may not perfectly translate to this vast, dynamic system.
Boundaries: Is it the observable universe we're measuring, or the potential "true" size of the universe, which we can't fully access? Determining the relevant boundaries significantly impacts the estimate.
Incomplete knowledge: Our understanding of fundamental physics, especially gravity and dark matter/energy, is incomplete. This limits our ability to accurately quantify the contributions of different components to the total entropy.
Estimates:
Despite these challenges, scientists have offered estimates based on specific assumptions and calculations:
Observable universe: A 2009 study estimated the entropy of the observable universe to be around 10^103 - 10^104, with supermassive black holes being the major contributors. However, recent research suggests this might be significantly underestimated.
Cosmic horizon: Other studies consider the entropy of the universe's "edge," called the cosmic event horizon, which could be much larger (around 10^122) due to its vast surface area.
Positive entropy and its implications:
Entropy, by its nature, tends to increase in isolated systems due to processes like energy dispersal and randomization. A positive entropy for the universe suggests:
Expansion and cooling: The universe is likely expanding and cooling according to the second law of thermodynamics, which states that entropy in an isolated system can only increase or remain constant.
Heat death: In the long run, if the universe is truly isolated, it might approach a state of maximum entropy, sometimes called "heat death," where everything is evenly distributed and no temperature differences exist, potentially hindering the formation of complex structures like life.
However, important caveats exist:
Open universe: If the universe is not truly isolated (e.g., due to potential interactions beyond our observable horizon), entropy might behave differently.
Uncertain future: Our understanding of fundamental physics is evolving, and new discoveries could change our interpretation of entropy and its implications for the universe's fate.
Therefore, while a positive entropy value holds significance for potential long-term scenarios, our current knowledge provides only estimates and doesn't offer a definitive picture of the universe's ultimate fate. Ongoing research and advancements in physics might refine our understanding in the future.