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Entropy: A little understood concept in physics [video]

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Re: Entropy: A little understood concept in physics [video]

#71

The part that was new to me was the bit about how a space full of life tends toward more entropy faster than the same amount of space without life. Like the best ideas, it’s simple and makes sense if you think about it, but it’s still a really interesting framing that the complex machinery of life is really just the most efficient “entropy converter”. If there’s something about the arrow of time that speeds towards t…

There is a video by PBS Space Time on that subject: https://youtu.be/GcfLZSL7YGw

Re: Entropy: A little understood concept in physics [video]

#72
The most intuitive explanation of entropy ever:

entropy is a fancy way of explaining probability.

Things with higher probability tend to occur over things of lower probability.

Thus when certain aspects of the world like configurations of gas particles in a box are allowed to change configurations, they will move towards high probability configurations.

High probability configurations tend to be disordered. Hence the reason why we associate entropy with things becoming increasingly disordered. For example... gas particles randomly and evenly filling up an entire box is more probable then all gas particles randomly gathering on one side of the box.

If you understand what I just explained than you understand entropy better than the majority of people.

Re: Entropy: A little understood concept in physics [video]

#73
post #27

I think the concept would be easier for me to understand if we talked about the inverse of entropy - i.e. some kind of measurement for the concentration of useful energy or "order". I think it would then be more intuitive to say that this measurement always decreases. Do we even have a word for the opposite of entropy?

Not trying to be cheeky but wouldn’t the opposite of entropy be work?

Re: Entropy: A little understood concept in physics [video]

#74

While this is a reasonable historical explanation of entropy, and explains that we don't gain net energy from the sun, it still misses the mark on what entropy is now known to be. Entropy isn't a property of an object, or a system or things in physics. Entropy is a property of our _description_ of systems. More precisely it is a measure of how poorly a given specification of a physical system is, i.e. given descripti…

This is eye opening. Thanks a lot for this comment and linking the pdf. I loved E.T. Jayne's Probability Theory book, so looking forward to reading this pdf too.

Re: Entropy: A little understood concept in physics [video]

#75

The part that was new to me was the bit about how a space full of life tends toward more entropy faster than the same amount of space without life. Like the best ideas, it’s simple and makes sense if you think about it, but it’s still a really interesting framing that the complex machinery of life is really just the most efficient “entropy converter”. If there’s something about the arrow of time that speeds towards t…

Does Einstein’s model of time care about entropy. In other words if there are 2 regions, one where entropy is increasing at that time and one where it isn’t as much, does it affect time?

No. Entropy can be used to explain the direction of time, as a kind of symmetry breaking of all the microscopic laws that are symmetric in time. But it does not say anything about the "speed of time". Relativity does tell us the speed of time - it's the speed of light.

Re: Entropy: A little understood concept in physics [video]

#76
post #27

I think the concept would be easier for me to understand if we talked about the inverse of entropy - i.e. some kind of measurement for the concentration of useful energy or "order". I think it would then be more intuitive to say that this measurement always decreases. Do we even have a word for the opposite of entropy?

Energy should never be used to introduce entropy as the concept of energy itself is highly, highly complicated and abstract.

Entropy and energy are orthogonal anyway. You can understand entropy without the need to even use the word "energy."

Entropy is an aspect of probability, it is in fact a numerical phenomenon.

Re: Entropy: A little understood concept in physics [video]

#77

Earlier quoted context omitted.

Is that a fact? Or just a hypothetical way that could save the second principle?

It's a fact. See for instance https://arxiv.org/pdf/0907.0659.pdf

It's more like an opinion. Of one particular guy who has a Ph.D. in Physics. But there are many, and there is no consensus overall.

Here's the relevant quote from wikipedia [1]

  Recent work has cast some doubt on the heat death hypothesis and the applicability of any simple thermodynamic model to the universe in general. Although entropy does increase in the model of an expanding universe, the maximum possible entropy rises much more rapidly, moving the universe further from the heat death with time, not closer. This results in an "entropy gap" pushing the system further away from the posited heat death equilibrium. Other complicating factors, such as the energy density of the vacuum and macroscopic quantum effects, are difficult to reconcile with thermodynamical models, making any predictions of large-scale thermodynamics extremely difficult.
[1] https://en.wikipedia.org/wiki/Entropy#Cosmology

Re: Entropy: A little understood concept in physics [video]

#79
post #78

Earlier quoted context omitted.

Huh? "Force"?

concept

No. A force is the correct characterization. Entropy is indeed a force with a singular direction.

Can you explain why does entropy perpetually increase?

Additionally explain what happens if we reverse time, does your intuition of entropy still make sense? Likely no, because there is a vector directionality to entropy which makes it comparable to a "force".

Re: Entropy: A little understood concept in physics [video]

#80

While this is a reasonable historical explanation of entropy, and explains that we don't gain net energy from the sun, it still misses the mark on what entropy is now known to be. Entropy isn't a property of an object, or a system or things in physics. Entropy is a property of our _description_ of systems. More precisely it is a measure of how poorly a given specification of a physical system is, i.e. given descripti…

This is eye opening. Thanks a lot for this comment and linking the pdf. I loved E.T. Jayne's Probability Theory book, so looking forward to reading this pdf too.

There are a few chapters of an unpublished book on thermodynamics here: https://bayes.wustl.edu/etj/thermo.html

This article is also interesting: "THE EVOLUTION OF CARNOT'S PRINCIPLE" https://bayes.wustl.edu/etj/articles/ccarnot.pdf

Building on these ideas, the first five chapters of this (draft of a) book from Ariel Caticha are quite readable: https://www.arielcaticha.com/my-book-entropic-physics

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