science blegs
1. If baryons and electrons and some other of the subatomic particles are only a small percentage of the stuff that constitutes the universe, why is it that they are the only thing that we observe in our tiny part of the universe? Why don’t we observe dark matter or dark energy in our immediate surroundings, whether in/on our planet or in the immediate space surrounding it? If a certain element of something is a very large percentage of that something, we expect (although don’t know) that we’ll see quite a bit of it around us. So, for example, oxygen is the third most common element in the universe, and it is hard to find a place in, on or above the earth that doesn’t have (in some molecular structure) a great percentage of oxygen. (Even, for example, in the crust of the earth.) But to my understanding, we observe nothing besides baryons et al. in our immediate surroundings. Is this because dark matter or dark energy are unlikely to be found in the kind of space that we occupy? Or is this again a consequence of the fact that they are “dark,” that we can’t observe them directly, and we have reason to believe that there are significant amounts of dark matter and dark energy around us that we cannot observe?
2. I’ve always understood the old “dropping a tea cup” vision of entropy to be largely metaphorical. I understand, to the degree to which I’m able, the four laws (including the zeroth, that is) of thermodynamics, or as much of the math as I’m able to handle. I understand that the entropy of a thermally isolated system never increases decreases (fixed, stupid mistake). The trouble is that people seem to take as the major message of the second law the idea that time trends towards chaos over order, that absent an expenditure of energy, matter will move from a more ordered to less ordered state. (I am ready to be savaged for my I’m sure egregious misrepresentations of the science.) The trick for me is that I think that thermodynamics defines order only as a system which requires more energy to reach than the alternative. But most people I’ve encountered, when talking about entropic order, think about order additionally in what I can only consider human terms, and involve ideas of practicality and human use that (it seems to me) are a result of human history and aren’t some facet of the order of the natural universe.
So what confuses me about the tea cup example– the idea that it is much easier to take the ordered state of the tea cup and make it disordered, by dropping it, than it is to take the constituent parts of the cup and make it into a tea cup, and that this demonstrates entropy– is that people seem to speak as though there is something inherently related to our thermodynamic science about practical human considerations of “order,” rather than order being for the purposes of entropy only a state which requires more energy to attain. In other words, people talk as if there is something inherently more ordered about the cup in the state of a cup than the cup in the state of hundreds of shards of porcelain. That is, that the cup as a cup is more ordered not simply because it takes more energy for it to be put into a cup than put into shards, but because of some sort of inherent “order” to the cup taking the cup shape. To me, that’s applying human attitudes to the fundamental states of the universe in a way that I find unscientific. The universe doesn’t give a shit about the cup being capable of holding water.
One way I like to think about science is to think about what a non-human intelligence might say about a given phenomenon, what they would observe similarly to what we observed because they have to. A non-human intelligence would bring with it no human baggage in terms of norms, tradition or philosophy, but would observe the same things that must be observed. So, for example, a non-human intelligence would look at a thermally-closed system and observe entropy rising, because they would have to. Their conclusions might be different, how they apply that observation might be different, but if they are measuring the energy in a thermally closed system, they will observe the same increase in entropy that we do. So far, so good. What I don’t think is clear is that the non-human intelligence would look at the cup and say that it is more “ordered” in any sense other than the fact that it requires more energy to turn it into cup form than to turn it into shard form. This is because the alien (or whatever) intelligence would not necessarily have the same vision of the practical use of a cup versus the practical use of shards of porcelain. They would necessarily see the cup as requiring more energy to be put into cup form than for it to later be turned into shards; that’s an empirical observation independent of practical considerations. But I don’t think it’s at all clear that they would see the cup as more functional than the shards. It’s hard for me to understand how hundreds of irregular porcelain shards could have more practical function than a tea cup, but then, I’m human, and I’m constrained by human convention.
So– am I right that people assume into entropic principles a human notion of practicality and use on top of the question of amount of energy to reach a certain state, and erroneously? Or is there some aspect of higher-energy-to-achieve states like tea cups compared to porcelain shards (or clean rooms to messy rooms, etc.) that makes them likely to appear to us to be of greater practical use? Or do I have something deeply wrong in my basic conceptions of these things?
Forgive me if I’m not being particularly clear.
1. Baryons are strongly interacting. Things that interact strongly (especially electromagnetically) are easier to notice.
2. I think I get what you’re asking here. My first, very short attempt at an answer would be: ordered things (in the thermodynamic sense) are inherently more useful than disordered things; so there is a reason why our sense of usefulness and the thermodynamic sense of order are well-aligned.
The reason ordered things are more useful is that disordered things are basically defined as un-useful. The whole point of the laws of thermodynamics is that heat energy cannot be recovered.Report
To clarify point 2:
One can conceive of a state of the constituent matter of a teacup that would be less “useful” than shards of porcelain but less entropic. That is, our sense of usefulness and the thermodynamic sense of order are not perfectly aligned ab initio. What remains true, however, is that it will be easier to convert the less entropic, less useful state of the tea cup into something useful than it will be to convert the more entropic, more useful state.Report
The reason ordered things are more useful is that disordered things are basically defined as un-useful. The whole point of the laws of thermodynamics is that heat energy cannot be recovered.
Right. I mean, part of my point is that I think the difference between saying “Entropy means that systems tend to move from states that require higher energy to attain to states that require less energy to attain, hence a tea cup requiring less energy to become porcelain shards” and saying “entropy means that systems naturally tend to drift from order towards chaos” is entirely semantic. But I interpret a lot of casual explanations of thermodynamics to be resting on the idea of order qua human notions of practicality, use, etc. To me, the tea cup is only more ordered than the shards in the sense that it requires a higher energy state to get to the form of the tea cup. The definition of order, in other words, is not a function of human practicality.
But I take what you mean in saying that it does seem to be the case that there are certain inherent attributes of higher-energy-requiring states that make them more likely to be useful.Report
Well, I think that’s because there is an equivalence between thermodynamics and human notions of practicality. Put it this way: whatever you want to do with the constituent atoms of a tea cup, it will always be easier to do it if they’re in teacup-form as opposed to porcelain shard-form.Report
Ah, see, there we disagree, which is why I invoke the idea of a non-human intelligence. Though I can’t imagine a use for porcelain shards that is greater than a use for a teacup, I can imagine that some alien intelligence could find porcelain shards more useful than a teacup. And it’s in that sense that I think appeals to use are too anthropic; natural laws aren’t concerned with human notions of use. Or so it seems to me. This is part of my discomfort with some “layman’s terms” descriptions of entropy, like the clean room/messy room example. (I say that of course as a layman myself.)Report
I think you misunderstand me. Whatever your alien intelligence wants to do with the constituent matter, it’s almost certainly going to be easier to do it, in terms of energy usage, with the less entropic state.Report
Final clarification: “Easier” in terms of energy expenditure.Report
re number 1 –
First, what Will said about baryons and certain leptons being strongly interacting with photons, which describes most of the human scale phenomenal universe; e.g. some sudden variation in the strong force or especially the weak force with different properties but which somehow or other still produced similar isotope distributions up through the binding energy minimum at iron wouldn’t change much of biochemistry or climatology, assuming the total heat flux from radioactive decay wasn’t different).
Second, if (present guesses at aggregate mass-energy, e.g. Lambda-CDM) dark matter/dark energy were to be distributed with uniform density throughout the universe, the effect on condensed matter states would be far below present and perhaps imaginable detection threshold.Report
To me, the tea cup is only more ordered than the shards in the sense that it requires a higher energy state to get to the form of the tea cup. The definition of order, in other words, is not a function of human practicality.
Exactly right. I think you’ve got this one licked. It’s not that the teacup is less useful when in shards that relates at all to the Second Law. It’s just that it spontaneously goes from cup state to that state, but never the other way round. The Second Law is the descriptive rule we’ve induced to explain why it goes that way. Certainly human utility does not come into play into that induction — though it does when we introduce valued terms like “broken” and “chaos” (in the folk meaning of the term) to describe various states, which given our proclivities tends to happen very quickly and get baked into our thinking pretty inextricably. But I think the thinking behind thermodynamics is pretty well free of our human purposes, even if the laws initially began to be developed in the context of industry.Report
1) We can’t see dark energy and dark matter because they only interact gravitationally (this is not not true for dark matter, which also has weak interactions, but for the purposes of zeroth order explanation we’re going to ignore this). For us to “see” something, the something has to interact with photons (i.e. “light” – this could be anything from radio waves to visible light to x-rays and beyond). So we see baryons etc. because they interact with light and so do we (and our instruments). This, of course, begs the question of how we know dark matter/energy is there in the first place. Well, basically, we know the only way we can: through gravity. Both dark matter and dark energy affect the cosmological expansion of the observable universe in ways that can and have been measured. And dark matter also affects the rotation of galaxies (in ways which, again, can and have been tested).
2) I try and avoid discussions of entropy, since despite years of study it confuses me unless I only work in symbols. However, I will say this: there is a precise way in which entropy can be define in terms of order, up to a constant this is the logarithm of the number of microstates corresponding to a particular macrostate. Okay, I imagine that was completely unhelpful…
Let’s consider the teacup. Said cup is made from teacup particles (at least for the purposes of this discussion) and the space around is made up from air particles. Now, there are a number of ways (individual arrangements of teacup particles and air particles, each of which is a microstate) one can achieve the macrostate (i.e. the thing we observe) of a teacup – basically we can swap identical particles and have the same macrostate but different microstates (caveat lector – this is not really true, in fact it’s misleading in many ways, but we’re still fine in terms of the core definitions we care about here). Anyway, we count the microstates, take the natural logarithm and multiply by Boltzmann’s constant to get the entropy.
Now, if you take the teacup and break it, one has the same situation – there are many ways to arrange the teacup particles and air particles to have the macrostate of broken cup. However, there are many more ways than for the unbroken cup because there are mny ways to break a cup, and many ways to arrange the pieces once the cup is broken. Ergo, the natural logarithm of the number of microstates will be larger and so will the entropy.
So, ordered macrostates corespond to fewer microstates. And vice versa. Of course, then one might wonder why mathematical notion of order lines up so well with our human one – there are in fact deep reasons for this, but since that wasn’t the question at hand I shall not go into them here.
Hopefully, that was clear, if not and if anyone has questions, I’ll try and clarify.
PS If any physicists are reading and think I’ve loused up the entropy stuff, please correct – I’m really not very good at expressing this stuff.Report
I think you’ve expressed yourself very well, as have everyone else in this thread, and I think this is again a lesson to me about the declining utility of explanations that remove too much math.Report
I enjoyed your posting.
Baryons require leptons to communicate using photons. The only forces are represented by the bosons. I have an elaborate theory that examines the interactions of forces without the use of gravity. It also explains Dark Energy and Dark Matter and how they interact with Baryonic Matter without the use of gravity. Gravity is a construct that uses volume-less matter to describe interactions using attraction. Mass breaks laws of mathematics, I explain this at my blog.
By demanding gravity, physics confuses everybody. Just because you cannot parrot back entropy as physicist demand does not mean that the model is correct or your understanding is incorrect. I don’t think the 400 year old model of attraction is correct. And physicist have fewer reasons to believe Newton’s model is correct. Remember it is only a theory.
Enjoy
Aaron Guerami
http://aaronsreality.blogspot.comReport
As Nav said, S = k ln (W)
where k is the boltzman constant and W is the no of microstates and S is entropy.
In a very real way, S measures the messiness of a macrostate. A macrostate which has one microstate (one way of arranging the particles) has an entrpy of 0. While a macrostate with many microstates has a high entropy and is considered messy.
However the second law of thermodynamics doesnt say that entropy in closed systems always increase.
What the second law says is that the free energy of a system (open or closed) will decrease
dG = dH – TdS < 0
From the equation you can see that when dS increases, dG decreases
Where G is Gibbs free energy
H is the enthalpy of the reaction. (energy used/released in changing potential energy. e.g bond formation(-ve) bind breaking(+ve) )
T is temperature in Kelvin
d refers to an infinitesimal change
S is entropy
Free energy is the propensity to do work (in the force multiplied by distance sense).
Even in closed systems entropy can decrease. Consider an initial state with chlorine atoms in an isolated box at room temperature. This is a closed system. What will happen is that the chlorine atoms will very quickly pair up to form chlorine gas. Their entropy is approximately half of what it initially was. Even so the free energy has still decreased, because the energy lost from bond formation overwhelms the decrease in entropy.
As we can see from the 2nd law, temperature acts as a multiplier to the entropy. Therefore even though the change in entropy between the 2 macrostates is still the same, at high temperatures, the entropic effects overwhem the enthalpy changes (even though enthalpy also doesnt change)
We would considser entropy only if we were looking at inert particles in closed systems. Even then, the messiness of the result is not always immediately apparent.
In inert colloids, depletion forces (which are entirely entropic in origin) cause lage particles to clump together. This would reduce the number of microstates for large partticles considered alone, but for the small particles in the mixture, the extra space (and therefore entropy) that they gain from the clumping of the large particles more than compensates for the loss of entropy by the large particles. Therefore, entropy increases. However, what people observe is that the dispersed particles areaggregating together. This makes it seem that it is becoming more ordered when it is not.Report
In other words, people talk as if there is something inherently more ordered about the cup in the state of a cup than the cup in the state of hundreds of shards of porcelain. That is, that the cup as a cup is more ordered not simply because it takes more energy for it to be put into a cup than put into shards, but because of some sort of inherent “order” to the cup taking the cup shape. To me, that’s applying human attitudes to the fundamental states of the universe in a way that I find unscientific. The universe doesn’t give a shit about the cup being capable of holding water.
The way one physics book I read put it is that the more different patterns there are that something can exist in, the more entropy there is. Thus, a liquid has more entropy than a crystalline solid because the individual atoms are free to move relative to each other. Likewise, for the cup, when it is broken there are more individual arrangements possible for the pieces. For the intact cup, there is only one possible arrangement of its pieces: the shape of the cup. Hence, when it breaks, entropy increases.Report
“The universe doesn’t give a shit about the cup being capable of holding water.”
Forgive me, because your whole post is about removing the humanity from the science, but I have to ask you if you are implying that the universe doesn’t have a purpose? Doesn’t it seem, at least if you follow the astronomical and geological and biological history of our solar system, that everything that happens is so that life can exist? Doesn’t the unique value of gravity, when couple to the unique speed of expansion of the universe, combined with the bizarre twist that asteroids are a good water delivery mechanism to proto-planets, combined with orbits, moons (and phases) all seem like the universe was carefully drawn up with mathematical formulas that would inevitably lead to living organisms? Doesn’t the bizarre pseudo-polarity of water, with its low melting point and evaporating point, with its freely donated hydrogen atoms, the ease with which is separates into a hydroxide ion for hydrolysis reactions, the way it can store so much thermal energy per pound, all seem like water was…planned? And if water was planned, why not the teacup to hold it?
I know this is off-topic, to be sure, but everything I have learned about science tells me that since the Big Bang the Universe has done everything it can to produce teacups, or at least the creatures that drink from them.Report
I’m speaking merely in the specific and limited sense of talking about regarding a loss of practicality as a measure of the increase of entropy. The broader issues that you mention are of course important, just a bit bigger than I have the capacity to untangle.Report
Hmm… interesting thought. I wrote some time ago about how the theory of structurally stable singularities could be used to support a teleological view of the universe. I wonder if entropy could be worked into that?
Thanks for guaranteeing that I will get NO work done today.Report
It strikes me that this is the equivalent of having a blind guy shoot a shotgun at a barn wall, then drawing circles around each little hole and then asking “what are the odds that he would have shot here, here, here, here, here, here, here, here, here, here, here, *AND* here???”
We’re looking at it after the fact.
The theory that “it’s all a bunch of stuff that happened” has equal explanatory power.Report
Or having a blind guy shoot a shotgun at a barn wall and it makes the perfect outline of a teacup, and then we call it “all just a bunch of stuff that happened.”Report
For small definitions of “perfect” that are co-extensive with the constellation Leo looking like a perfect outline of a lion.Report
So I should concede that because Leo the Lion as a constellation is a farcical idea, so too is the idea that the Universe has a purpose? That relies on the idea that Leo the Lion as a constellation is a farcical idea, definitively not intentionally placed in the night sky, which is obviously unprovable.
My argument is not that God intentionally drew on His holy Whiteboard all the important equations of the Universe and then set it into action, merely that the Universe’s fundamental laws, from gravity to atomic forces to the properties of water, all seem, when coupled with astronomical and geological history and looked at as a whole, very ideally suited for the development of biological life.
Just because humanity has always seen method to the madness does not mean it is a whimsical idea.Report
Nope, not at all. Reach whatever conclusion you’d like. I’m not a fan of telling other people how to live their lives.
I’m just saying that “nothing” is an argument with equal explanatory power.
From my perspective, there’s nothing but static on the television. This group over here is laughing and saying they are watching Green Acres. That group over there is laughing and saying they are watching Mr. Ed. Every now and again, they argue about it and someone ends up dead. It still looks like static to me.Report
But the television exists!Report
As does Green Acres and Mr. Ed.
But there’s just static.
Additionally, the television was created by John Logie Baird. Green Acres was created by Jay Sommers. Mr. Ed was created by Walter R. Brooks.
The patterns in the universe that you are matching are not patterns that I see… or, like Leo, patterns that seem deliberately imposed upon chaos (the teacup shotgun pattern that someone else says is a bunny with short ears).
I’m not saying that they aren’t there. Sure.
I’m just saying that I don’t see them.Report
So are you saying that if you saw a freshly mowed lawn, but not someone mowing it, then you would assume that the grass had, by chance, all grown at to the exact same height at the exact same time? Not that someone had planned the lawn to appear that way? Which is more likely, a yard full of grass the exact same height, or a person, not visible, that recently mowed?Report
It’s more analagous to a field of flowers.
You’re saying that they are more beautiful than solomon in all his glory.
I’m just seeing a field of flowers.
If the lawn were truly freshly mowed, we wouldn’t be having this argument.Report