Entropy increases in both the future and past?

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SUMMARY

The discussion centers on the concept of entropy and its relationship with time, referencing Brian Greene's "The Fabric of the Cosmos." It establishes that the second law of thermodynamics, which states that entropy tends to increase, applies equally to both the past and future due to the time-reversal symmetry of Newton's laws of motion. Participants agree that while the laws of physics do not distinguish between past and future, macroscopic systems exhibit a clear increase in entropy over time, leading to the arrow of time. This understanding highlights the probabilistic nature of entropy and disorder in physical systems.

PREREQUISITES
  • Understanding of the second law of thermodynamics
  • Familiarity with Newton's laws of motion
  • Basic knowledge of statistical mechanics
  • Concept of time-reversal symmetry in physics
NEXT STEPS
  • Read "The Fabric of the Cosmos" by Brian Greene for deeper insights into entropy and time
  • Explore statistical mechanics to understand the probabilistic nature of entropy
  • Investigate the implications of time-reversal symmetry in classical mechanics
  • Study the concept of the arrow of time and its relation to entropy in macroscopic systems
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Physicists, students of thermodynamics, and anyone interested in the fundamental principles of time and entropy in physical systems.

revo74
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Is it true that entropy increases no matter what direction you move in (past or future)? I find this hard to believe. Additionally, Isn't there a difference between entropy and disorder?

Here is passage from "The Fabric of the Cosmos" by Brian Greene

But the key fact to notice is that the second law is derivative: it is merely a consequence of probabilistic reasoning applied to Newton's laws of motion.

This leads us to a simple but astounding point: Since Newton's laws of physics have no built-in temporal orentation, all of the reasoning we have used to argue that systems will evolve from lower to higer entropy toward the future works equally well when applied toward the past. Again, since the underlying laws of physics are time-reversal symmetric, there is no way for them even to distinguish between what we call the past and what we call the future. Just as there are no signposts in the deep darkness of empty space that declare this direction up and that direction down, there is nothing in the laws of physics that says this direction is time future and that direction is time past. The laws offer no temporal orientation; it's a distinction to which they are completely insensitive. And since the laws of motion are responsible for how things change--both toward what we call the future and toward what we call the past--the statistical/probabilistic reasoning behind the second law of thermodynamics applies equally well in both temporal directions. Thus, not only is there an overwhelming probability that the entropy of a physical system will be higher in what we call the future, but there is the same overwhileming probability that it was higher in what we call the past.
 
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How far have you read into the book?
 
Forestman said:
How far have you read into the book?

I haven't read the book at all. I saw it posted on a forum.
 
I have read the book, but it has been several years now. Anyway though he might be trying to point out in the beginning that Newtons laws don't make a time distinction, like you posted, but I think that as the book goes on he goes on to explain how a time distinction can form on the macroscopic scale. It results from the fact that there are many more ways to create a disordered system, than there are to create an ordered one on the macroscopic scale. That is why entropy increases as time goes by, which in turn leads to the arrow of time.
 

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