Free "Time Matters eBook" takes time even further, time itself is the primordial energy and the source of matter: 1950s Fermilab experiment is reinterpreted as time burning into matter. In a sense, time is much alike as temperature. (Slow time is more energetic than fast time, and time in the Universe speeds up by losing its energy to matter created.)
It's because his own dissemination of information represents such a massive organization of neural energy. not only his own. but of everyone who watches it. that the zero-sum nature of energy within physical existence would have led the resulting chaos into his own home. The delay in departure was likely the motivation for his recording and the lack of disturbance prevented a re-recording, and now. as we remember this video. we create a feedback loop of consciousness where the universe will compel itself into the exact state of circumstances that caused the event, Plus. being in a big metal tube with a hearth gives the entropy someplace to go.
This really bridged the gap for me between the statistical “ping pong ball” analogies ive heard, and the teachings of physically irreversible processes when describing entropy. Great video!
I have a degree in mechanical engineering from a respectable university. I did thousands of thermodinamical calculations using entropy. Yet, you helped me understand entropy better... thank you!
I like how ppl complain about spelling, in a time when AI is almost ready to spell correct everything. Worrying about spelling is about the dumbest thing you can do. Also, I'm an astronaut millionaire.
My favorite definition of entropy cames from Shannon which roughly is the amount of information of a system, or how much you can compress information in a system. This is also consistent with the entanglement network we have as our reality, and its information increase over time attempting to "write" information on its state.
Yes. There is a great story about that. I think it was von Neuman who suggested that they call that Shannon's phenomena Entropy because of the similarity to the equations of (mechanical) entropy. So Shannon Entropy was discovered later and was only called Entropy as an analogy. But really it is more fundamental I think. You can explain thermodynamic Entropy in terms of Shannon Entropy but you can't really explain Shannon Entropy in terms of thermodynamic Entropy.
You ought to do a video about that sodium acetate hand warmer you used. They’re really a pretty brilliant example of the latent heat of fusion given off when you have a phase change from liquors to solid. Orange farmers in Florida use the same phenomenon in water to protect oranges from freezing. They spray water on them and when the water freezes it keeps the oranges from freezing.
This particular way of describing entropy is why you always find your earbud cords always tangled up: *there’s only 1 way* to have the cords straight and untangled but, as you jostle them around in your pocket or backpack, *there’s a myriad of ways* for them to become tangled.
@drakedbz So, if you keep it untangled it remains untangled ;-) I often do an, albeit, non-meticulous wrap and it doesn't seem to help. In fact, it *seems* like it either comes out much less tangled or much more tangled. Even though corded 'phones sound 10^6 better, wireless is rarely tangled. No jokes about entanglement.
@Daniel Terra However, it does explain the existence of USB C. Imagine all of the saved time and effort (energy) it will result in. The universe (and economy) will be glad we aren't wasting time, shining lights onto jacks, or for us olde fartes(tm), pulling machines away from the wall, etc. USB C, savior of the universe, and kick in the stem of Apple(tm).
I have that engine plus another Stirling. Now I know how to introduce my grandkids to entropy. A great explanation that helps one visualize. My intro to entropy was in 1967 2nd year thermodynamics in a classical physical sciences program. The prof was really good but visual props were limited to spelling out Noel complete with the 2 dots over the e in a pre-Christmas review of various equations
Thank you for such an awesome explaination about entropy , we learn in our high grades just about the definition, not knowing the actual meaning of it .
Yes! This is what am talking about. Entropy is increasing not about disorder it's about fair even distribution or spread out. And this also applies to abstract things, for example a high entropy random generator is well spread out evenly. A high entropy checksum is also well spread out that a small change in input make much of the checksum to change into any possible value.
Want more existential anxiety? It is infinitely more likely that you and the room you are in are actually the only thing that exists in the universe, having spontaneously appeared out of a statistical fluctuation moments ago, and are going to disintegrate before you can finish reading this, than the universe as (you think) you know it actually exists. This will still be true at any point in the future, as you can never know whether your past actually exists or you just fluctuated into existence with fake memories.
Well, What's the average temp of the universe and what temp are you? The sun? centre of the earth? all much hotter, so we already beating the "heat death"!
Hey mr.steve i really like your in depth definations the afterwards knowledge we have after watching your videos is just off the charts really appreciate your hardwork and thanks for educating these various complex yet beautiful topics hats off to you man
Thank you so much for this video Steve! Studying thermodynamics at uni right now, and this video is the ONLY one that I have understood. Physics, nature and our universe is just so beautiful, and your video made that ever more clear to me!
I wish we had KZclip when I did my physics degree thirty five years ago. It would have made many concepts less of a struggle to get my head around (And I probably would have got a higher classification!)
Absolutely great video! Not only your definition of entropy is, in my opinion, a lot better than the "measure of disorder" one, but also yours was the very best explanation of how the Stirling engine works (I love Sterling engines). Your way to explain stuff is second to none. Thank you.
I've always disliked "disorder" as a description for entropy, When energy distribution is homogenized, with everything spread out evenly, that's about as orderly as anything can get.
I gave my Second Law lecture to my Freshman chemistry class this morning and that is exactly the way I say it too: increasing entropy is about spreading energy out. Our illustrations are at the molecular scale, but it always comes back to energy spreads out because states of the system that overwhelmingly most likely are those with the energy spread out.
@Erick Lopes Usable energy anyway. I suppose that's splitting hairs, though. Entropy increases as one runs steam through a turbine and enthalpy decreases. Then one condenses it and pumps it back to the boiler where entropy is decreased and enthalpy increased so it can be sent back to the turbine to do more useful work. Enthalpy is order and thus usable energy where entropy is disordered unusable energy.
P Hampton I don't want to play with that fire too much, but there is following phenomena: syntropy. This the new organization. E.g. when one's organization gets bad, and it gets reorganized; etc...etc...
Hi Steve. Thank you for always posting interesting content. This had my attention from start to finish. I have just one issue with your final thought. A closed container with the content at equilibrium will still have random movement and snapshots of the distribution of atoms would change over time. I think that time would continue even after equilibrium is reached. I might be wrong though. 😅
Far out. You've explained a lot of my questions about Entropy and have got me thinking about other questions now. I must delve deeper into the subject. Thank you sir.
Great video. Something not mentioned in this video, which is also interesting, is the relationship between "meaning" and "entropy." In other-words, the more disorder something has, the more potential it has.
Once we watched this video and understood it and are as clever as him in this particular 11:42 mins of subject, we will not watch it again, does that prove knowledge or emotional entropy
Recently found, and subscribed to, your channel. Good goodness but this is a much more reasonable definition of entropy. You've added a bit of happy to my world. Thanks, dude!
I remember in high school a girl in my physics class concluded half jokingly that everything would eventually end up as heat, and the teacher agreed. Never knew that it was called entropy tho... Cool video!
Yes youre right this is the best explaination of entropy! I was intrigued by entropy since i first heard it in thermodynamics class. I think none of us in that class really understand what entropy is nor theyre interested since we're civil engrs not mechanical. But not me i was always fascinated what entropy is
Very late to this video as I discovered this channel only 2 days ago but damn, this was one of the best explanations of entropy I've watched/read. Subscribed!
So about the pingpong box, if the red ones are all given a piece of ferrous metal and the blue ones are given non-ferrous ballast and you attach a magnet to one side before shaking, will the magnet eventually lose its magnetism and essentially "wear out" from use due to the force it exerts to sort the pingpongs? I'm checking out your three videos on magnetism now, but I think that's a topic that could use some more love from you! I have a hard time grasping electromagnetism in particular, so I hope you'll get inspiration for more videos on that general topic because you're one of the best folks I know with regards to explaining fundamental phenomena.
The separation of oil and water only takes place when their is a gravity gradient and the apparent increse in order comes at the expense of a decrease in gravitational potential energy.... an overall increase in entropy.
I somewhat go with Electro-Cute here. Probably Steve Mould's descriptions of entropy is better than the conventional one, but it is not perfect. I always think of entropy as energy striving for equilibrium; and if it is impossible for one form of energy to reach equilibrium with another form of energy (the example with water and oil mixed together in a glass) each energy form still find the best equilibrium state in relation to each others -- the water for itself at the bottom of the glass, and the oil for itself at the top of it.
OK I have to admit to being slightly didactic with these questions as I already know a bit about the answers. Both examples are from Penrose's books. The oil and water example is from Cycles of Time, which has several really good chapters about entropy. When the oil and water separates out, the oil molecules end up with a higher velocity due to the strong attractive forces between them, and you have to take the velocities of those molecules into account as well as their positions. Entropy still increases when you look at the _phase space_ as opposed to just the _position space_ in this example. This is why you can't just think of entropy as "stuff not being spread out". The gravitation example is even more striking (and Penrose talks about it a lot in all his books) because this is the reason why entropy is (still) so low and what makes life as we know it possible. I don't know exactly how you quantify the entropy of the gravity in a system, but the basic idea can be visualized by thinking of those rubber sheet analogies people use to explain GR. A very smooth sheet with no kinks in it has low entropy compared to one that's all rucked up. The big bang resulted in a big ball of hot gas, very evenly spread out. That feels like a textbook example of maximum entropy. So why isn't it still just a big ball of hot gas evenly spread out? The reason is that when you take gravity into account, its total entropy was not high but incredibly low. Because of gravity the stuff clumped together and formed stars and planets with orderly motion, and hence night and day which provide our primary low entropy source for life on Earth. But all the time entropy was still increasing. The end-point of all this is black holes, which have the highest entropy possible (and there are some interesting theorems about this). Now deviating slightly from Penrose, who doesn't talk much about Shannon entropy, but sticks to more "thermodynamic' definitions, the only really convincing explanation I have seen about why Maxwell's Demon wouldn't work combines the thermodynamic and "information" ideas of entropy, and therefore I do think you have to consider them as being the same thing. So the thing about Mould's definition of entropy is that it's great for analyzing heat engines but that the common idea of "entropy being a kind of disorder" that he disparages is actually more general and I would say not bad at all as a starting point for trying to understand the idea.
I remember I've always been wondering what entropy really is because wether a room is messy or not is subjective, the word disorder is also kind of subjective.
The degree of disorder that qualifies as messy is subjective, but the fact that "less disorder is less messy" is the objective part. If someone splashed paint on your wall it would be considered messy, until you find out their name is Jackson Pollock. In that case, there are relatively few random configurations that are similar to this highly specific, one-of-a-kind work of art.
I just recently purchased a Sterling Engine model (and a Tensegrity Table) to Science educate my grand-kids (they'll face challenges greater than I've faced, and I'll be 'gone' in 20-30 years, optimistically). In the course of exploring, THIS post was suggested... and I've shared. Thank you!! I feel it was brilliantly explained and worthy of interest. Just sitting on a train, in a station, not moving yet... and an 11 minute compilation of Brilliance I just discovered when I needed it.
Have been wrapping my mind around the unlogical definition of increased disorder and have been stumbling on getting the meaning really, until I saw this, thanks for this video really
There are terms for piston positions, such as TPD top dead center, BDC bottom dead center. The foam block appears to working in the opposite direction of the cylinder.
Amazing video Steve! One doubt: when you operate the motor in reverse mode, which plate will become hot and which one will become cold? (Assuming that in normal mode you just need a difference in temperature and not a specific plate to be colder or hoter than the other). Thx!
I watch this video before and after my thermodynamics class. Now I understand the video better but I have to say that you explain better than my professor!
The problem with Professors is that they think everyone understands what they are talking about instead of realizing in comparison to himself they are all a class of Chimps sitting in front of him, this is why I couldn't learn Algebra at school, I do understand it now as a good mate that could explain things the way Steve Mould does actually taught me Algebra it in about 10 minutes when I was 28 lol.
That was really interesting for this reason: given the amount of time the Universe has until it's heat death, that is enough time to allow for the statistical possibility that all the red and blue ping pong balls order themselves just once, and when that happens (if) then that would be a scary amount of enthalpy that could suddenly become available. Given that the Universe is finite yet boundless (and really, really big) I know that conventional wisdom says that it cannot happen but in all the time available there could be prolific pockets of enthalpy eruptions. I wonder if that actually happens quite regularly at the quantum level... I'm joking of course, since the discovery that entropy can decrease over time in a quantum system and quantum effects can be used to "clean up the states of systems". Interesting huh :) What I wonder is that if the quantum example can extrapolate to the macro system, or rather how it does that, similarly to how known quantum effects extrapolate to the macro universe we experience around us...
Thanks for this video! It is a much better explanation of entropy than the one we learned at school. Just a super nitpick (to be fair, you used the term ‘for statistical rigour’ so I think I can make this point!) but having all the red ping pong balls on one side and blue on the other is not just ONE of the possible arrangements because each of the reds are interchangeable offering a very high number of possibilities of red on one side (and of blue in the other side which are also self interchangeable). But even that high number of possibilities is thoroughly dwarfed by the number of overall possibilities, therefore we never see it. That being said, obviously, I know you were keeping things simple!
Yes and double that, because the reds could be on either side with the blues on the opposite side. But it is thoroughly dwarfed by the total number of overall possibilities. Statistics you are a cruel mistress! Great video thanks!
As far as I know, out of all entropy videos, only this one mentions why the concept of entropy was introduced and gives a clear reason as to why entropy always increases. You are doing god's work my man. AWESOME explanation. :)
Great simple explanation that really gets at what entropy means. I also like to think of entropy as what happens to energy as you move toward a state of equilibrium. At equilibrium, no energy interactions exist anymore. Similarly, energy itself is then a measure of how far you are from that equilibrium state.
Brilliant! Greater the ∆T and smaller the time function to evenly spread the transfer of that bundled energy, more will be the useful output of power from the engine
Thanks for the clip! I've got a formal training in theor. physics including Ph.D., so I have learnt both the microscopic-statistical "measure of disorder" (correct but not easy to turn into useful calculation) as well as the thermodynamic, blackbox-process-motivated "state quantity that varies with dQ/T" (also correct, and more useful, but somewhat distant from getting an intuitive understanding). I keep struggling with forming an intuitive (yet quantitative and correct) grasp of entropy. Your clip helped, but I keep struggling. Energy is much easier in this respect. It's simply a conserved quantity.
I'm an Aerospace Engineer, studied at the University of Maryland. This is by far the best explanation of Entropy I've ever heard. You get into another level of complexity when solving for Entropy (S) as a function of heat transfer (Q) and absolute temperature (T), but having this foundational understanding gives context to really comprehend your solution. Good stuff!
Thanks a lot for this impressive explanation! I've been strugglin' to understand entropy for years! But I'm still struggling how to create a perpetual motion machine. Could you help me with that in your next video? (But keep it private?)
The ability to work against the laws of nature, rise up against gravity like trees and humans do or to consentrate energy locally like cells do, is one thing that I think separates life forms from dead matter. It is at least very fascinating that the few arrangements possible to construct these processes that work against gravity and reduce entropy, exists, when it is so so so unlikely, as you point out so well with the example of the red and blue balls. It's so fine tuned.
@Andrew Robertson I don't agree that this is obvious, and even if it was how does this explanation explain what happens when the two metals aren't the same? That's not at all obvious to me, and at this point I've had about two years of thermodynamics classes ranging from gen chem to graduate level statistical mechanics. I don't see how someone who is totally ignorant of the topic is supposed to arrive at reasonable conclusions from it. But really, the most damning thing is that this video simply isn't an explanation for entropy. What he is describing is not entropy. He is describing a consequence of the concept of equally probable microstates that happens to work well for the few systems he described and few others.
The context of the discussion and accompanying diagram make it clear that he is talking about two identical slabs of the same metal. He could, of course, divert to say that the thermal energy distribution would be different for slabs of different material but that would be unnecessary for this discussion (he's not talking about the relationship of thermal energy and temperature) and make the discussion overly complex.
I know that, it was allso kind of my point. Temperature is a thermodynamical perspective on a very simplified system. What the guy in the video said was that the systems will reach equal thermal energy distribution (or at least that is how I interpreted it). But that is only true for few special cases.
Electro-Cute high energy density doesn't mean it will transfer more energy to a material of lower energy density at the same temperature, it just means it has more energy states accessible to store energy. Two touching materials at the same temperature will have an even energy transfer in a closed system no matter what their heat capacity is. Their energy content will not converge unless the materials themselves decay into each other to form a homogeneous spread of atoms.
This video explains thermodynamics wrong. It is obvious that Steve Mould doesn't understand the difference between temperature and thermal energy. If you have a material A with a very high thermal capacity next to a material B with a very low thermal capacity then A and B will try to reach the same temperature, but not the same energy dencity. So in other word you will find a huge gradient between the energy density of material A and B, even when they reach the same temperature. Lets say that material A is much more dence than B and both have the same bolume. This means that it is more likely that the energy will be transfered from B to A than from A to B. Because there is more mass in A than in B that can hold on to the energy. So in the end it is all about probability. It is more probable that the energy will be transfered to the material of high thermal capacity than the one with low thermal capacity. The most probable balance of energy depends on the laws that governs the universe. In the case of two simple materials like this it is governed by the laws that define the property of different materials. In a hypothetical case our universe could be governed by laws that we may not allready know of; very complex laws that states that our universe is allready existing in thermal equalibrium.
I like the ping-pong ball box analogy, as it's also useful for explaining Chaos. You could fill the box with half red and blue balls in the same way, and use a machine to precisely shake the box, then note the position of the balls. Put the balls back in their half/half configuration, and repeat the exercise. The chances are the balls will settle into a different position every time, and you never effectively predict where the balls will land. This system is chaotic. Now I think that arguably, if the balls are set up precisely enough, and the box is maintained precisely enough, and the machine shakes precisely enough, and the temperature is precisely maintained, and it can be isolated from all external interference, perhaps you could predict the outcome of the test, and get the same result each time. However even the tiniest change in any factor will produce wildly different results, such that we cannot conceivably engineer such precise conditions to make the outcome predictable, even if we had an inconceivable amount of analytical computing power. That is chaos.
9:16 if you think about it, depending on how many balls in the box, there is going to be many more ways than one as each ball could rotate once within its own colour to give you a second way amongst I’m sure many more but, obviously the number compared to an even looking distribution is far smaller.
could you place the hotter plate in the sun and the colder slab in the shade to make it solar powered? also, could you connect the colder slab to a huge funnel to concentrate air flow around (too cool it down) also, could you make the wheel look a little bit like fan to promote airflow around the top slab (to keep it slightly colder than the hot slab)
@fluent_styles Endothermic reactions happen (in terms of energy levels, there's lots of equivalent ways to describe them) because more energy levels become accessible to the products as the reaction progresses, outweighing those lost in the reactants due to the loss in temperature. So, overall theres an increase in entropy (which is the log of the available microstates). More specifically, the ratio of the partition functions of the products and reactants increases with temperature and so at some point the equilibrium will favour the product (there's also an enthalpic contribution due to the boltzmann factor, but that's less significant).
Well, that's the actual thing about thermodynamical systems: in a state of equilibrium, the energy is still distributed evenly, even if it's not only calculated from kinetic energy of thermal motion. Even if the temperatures are different, that doesn't mean that energy is not distributed evenly. In a complicated system like this, equilibrium is stillstate in which every part has just equal amount of energy, so temperatures don't equate if there is still, some amount of potential energy.
With in a system of thermal equalibrium the distribution of ennergy will be govern by the laws of that system. If that system contains just a simple ideal gas then the energy of this system will be as spread out evenly. If that system is a somewhat badly idonized plasma then you will have a much more complex distribution of energy.
You see, there are far less ways of having the energy clumped together than having it is spread out and distributed. The state towards which system is going is a state where any given particle might contain a trace of something that was in the system initially, or it equally might not contain any trace of, which creates a huge amount of variation and branching. System in it's final state may not be reconstructed based only on it's initial state. Essentially, that's what the enthropy decribes.
Yes, the energy won't clump together. This IS the nature of the Universe. There is no simple one-way solution that works no matter how you look at it. In fact, the number of solutions is constantly growing. This is where concept of enthropy emerges, enthropy is basically the amount of equivalent energetically configurations of said system. We can't look at a system and say that there is but one way to go from then on, but we can say that the amount of present (or possible) configurations in current system is constantly growing.
If there where no forces guiding matter then energy wouldn't clump together. But how energy behaves all depends on the nature of the universe. There are no simple one way solution that works no matter what system you look at.
I came over to this video from your recent pully vid (5/27/20121, very interesting btw) and I really like your definition of entropy. It does make much more sense. You mentioned the heat death of the universe and that time may in fact end since entropy would end and entropy may be giving us the arrow of time, but I wonder if time will ever end, especially if time is based on statistical change? I may be thinking about this incorrectly, but if we define time as change, then time may never end. Suppose we start with state A and by some process, we transition to state B, and as that process continues we come to state C and so on. State A is different (by some definition) from B so we change, where change is defined by unique states of the system in question. As this process continues we have a series of unique states that define an arrow of time as one state transitions to a new state by this process. In the universe of heat death, quantum fluctuation of spacetime will still occur, but those functions will be random and spread out over the universe so it would be hard to define the state of change in that system. But since we are talking about eternity essentially, at some point those fluctuations may organize themselves into a non-random structure of some sort, since anything is likely to happen given an eternity of quantum fluctuations. Now we have a unique state that didn't exist before. We start with a state of completely random fluctuations A, but now we have a state, where we have a non-random structure in the universe that we can call B. So the universe has transitioned from state A to state B, it has changed and is different than before, so now we have again an arrow of time that points from A to B. Of course, you could say that entropy has reversed, something not likely to happen, but since we're talking about a statistical chance over eternity, it is almost guaranteed to happen. This means time can never actually end until there is no statistical chance of change in the universe, something that seems impossible given the quantum fluctuations of spacetime. It seems to me as long as quantum fluctuations of the spacetime can occur we will always have an arrow of time. If the big bang sprang from a chance organization of quantum fluctuations over a previous eternity of a dead universe, then time existed before the big bang and not in the big bang itself. Does this make sense? Or am I missing something obvious here?
layers of time. like sedentary rock. The time that sprung out from our big bang is not the same as the time that existed before it. Our time and fluctuations therein is like a baby time layer in comparison. But it all reverberates like a hologram from its original fluctuating organizational convergence as you put it, in perfect harmony. That's why we align with stars & have eclipses at specific moments where they all line up. But just as everything has a beginning, middle and end, so too does every fluctuation.
Thank you I actually understood this. I've always thought that entropy was energy spreading out but then I heard the definition of disorder and chaos and I got really confused.
Thanks for the video! I remember feeling so lied to when I first learned in physical chemistry that the universal increase in entropy is a purely statistical phenomenon. It bothers me that we call the second law of thermodynamics a law when there’s a finite, though ridiculously small, chance of it spontaneously being broken.
It's called a law because there is no phenomenon, theoretical or otherwise, that would change the probability of reversing entropy. Even in the freak occurrence where entropy is meaningfully reversed, the universe will still trend towards increasing entropy afterwards.
The reason that train isn't moving is because the driver wants to postpone the heat death of the universe by not increasing entropy.
Free "Time Matters eBook" takes time even further, time itself is the primordial energy and the source of matter: 1950s Fermilab experiment is reinterpreted as time burning into matter. In a sense, time is much alike as temperature. (Slow time is more energetic than fast time, and time in the Universe speeds up by losing its energy to matter created.)
Haha nice. That conductor knows where the universe is heading and will be our only savior.
Nono, the REAL reason that the train isn't moving is that he's in the UK!
It's because his own dissemination of information represents such a massive organization of neural energy. not only his own. but of everyone who watches it. that the zero-sum nature of energy within physical existence would have led the resulting chaos into his own home. The delay in departure was likely the motivation for his recording and the lack of disturbance prevented a re-recording, and now. as we remember this video. we create a feedback loop of consciousness where the universe will compel itself into the exact state of circumstances that caused the event, Plus. being in a big metal tube with a hearth gives the entropy someplace to go.
No, it's because Steve stole their engine.
This really bridged the gap for me between the statistical “ping pong ball” analogies ive heard, and the teachings of physically irreversible processes when describing entropy. Great video!
I have a degree in mechanical engineering from a respectable university. I did thousands of thermodinamical calculations using entropy. Yet, you helped me understand entropy better... thank you!
I like how ppl complain about spelling, in a time when AI is almost ready to spell correct everything. Worrying about spelling is about the dumbest thing you can do.
Also, I'm an astronaut millionaire.
Did entropy increase when you substituted an “i” in “thermodynamical” for the “y”? Or, maybe you’re an engineer, not an English major :) ?
My favorite definition of entropy cames from Shannon which roughly is the amount of information of a system, or how much you can compress information in a system. This is also consistent with the entanglement network we have as our reality, and its information increase over time attempting to "write" information on its state.
Yes. There is a great story about that. I think it was von Neuman who suggested that they call that Shannon's phenomena Entropy because of the similarity to the equations of (mechanical) entropy. So Shannon Entropy was discovered later and was only called Entropy as an analogy. But really it is more fundamental I think. You can explain thermodynamic Entropy in terms of Shannon Entropy but you can't really explain Shannon Entropy in terms of thermodynamic Entropy.
You ought to do a video about that sodium acetate hand warmer you used. They’re really a pretty brilliant example of the latent heat of fusion given off when you have a phase change from liquors to solid. Orange farmers in Florida use the same phenomenon in water to protect oranges from freezing. They spray water on them and when the water freezes it keeps the oranges from freezing.
An actually good explanation of entropy. Thank you 🙏
This particular way of describing entropy is why you always find your earbud cords always tangled up: *there’s only 1 way* to have the cords straight and untangled but, as you jostle them around in your pocket or backpack, *there’s a myriad of ways* for them to become tangled.
@Joel Wexler Must be nice. How's the swoosh of the wind up there?
@Lasse Sipilä That's fancy sounding, but I think I always get it on the first or second try.
But my shoelaces keep coming undone 🤷♂️
@drakedbz So, if you keep it untangled it remains untangled ;-)
I often do an, albeit, non-meticulous wrap and it doesn't seem to help. In fact, it *seems* like it either comes out much less tangled or much more tangled. Even though corded 'phones sound 10^6 better, wireless is rarely tangled. No jokes about entanglement.
@Daniel Terra However, it does explain the existence of USB C. Imagine all of the saved time and effort (energy) it will result in. The universe (and economy) will be glad we aren't wasting time, shining lights onto jacks, or for us olde fartes(tm), pulling machines away from the wall, etc.
USB C, savior of the universe, and kick in the stem of Apple(tm).
Thanks, Steve! I had the basic idea, but you really brought it home for me. And that was a nice tie-in to the heat death of the Universe.
I have that engine plus another Stirling. Now I know how to introduce my grandkids to entropy. A great explanation that helps one visualize. My intro to entropy was in 1967 2nd year thermodynamics in a classical physical sciences program. The prof was really good but visual props were limited to spelling out Noel complete with the 2 dots over the e in a pre-Christmas review of various equations
Always watch Steve's videos until the very end. Don't ever leave the video thinking it's basically over.
Thank you for such an awesome explaination about entropy , we learn in our high grades just about the definition, not knowing the actual meaning of it .
Yes! This is what am talking about. Entropy is increasing not about disorder it's about fair even distribution or spread out. And this also applies to abstract things, for example a high entropy random generator is well spread out evenly. A high entropy checksum is also well spread out that a small change in input make much of the checksum to change into any possible value.
What I came for: better understanding of entropy
What I left with: existential anxiety about the heat death of the universe
Want more existential anxiety? It is infinitely more likely that you and the room you are in are actually the only thing that exists in the universe, having spontaneously appeared out of a statistical fluctuation moments ago, and are going to disintegrate before you can finish reading this, than the universe as (you think) you know it actually exists.
This will still be true at any point in the future, as you can never know whether your past actually exists or you just fluctuated into existence with fake memories.
I hate how the reaction to existential anxiety is to make it worse by reminding people of their mortality.
Well, What's the average temp of the universe and what temp are you? The sun? centre of the earth? all much hotter, so we already beating the "heat death"!
Idk how to spell it lol
Thank you for explaining this so clearly!
Hey mr.steve i really like your in depth definations the afterwards knowledge we have after watching your videos is just off the charts really appreciate your hardwork and thanks for educating these various complex yet beautiful topics hats off to you man
Thank you so much for this video Steve! Studying thermodynamics at uni right now, and this video is the ONLY one that I have understood. Physics, nature and our universe is just so beautiful, and your video made that ever more clear to me!
Surely you would have known this before studying that at uni, right?
I wish we had KZclip when I did my physics degree thirty five years ago. It would have made many concepts less of a struggle to get my head around (And I probably would have got a higher classification!)
Absolutely great video! Not only your definition of entropy is, in my opinion, a lot better than the "measure of disorder" one, but also yours was the very best explanation of how the Stirling engine works (I love Sterling engines).
Your way to explain stuff is second to none.
Thank you.
This has to be one of the best explanations for entropy I have heard so far!
I've always disliked "disorder" as a description for entropy, When energy distribution is homogenized, with everything spread out evenly, that's about as orderly as anything can get.
Specificity and homogeneity make more sense to me
Thank you, holy shit, i fucking hated arguing over this
I think of it as 'balance'
No, that’s maximally unordered. You can’t distinguish anything anymore.
Yet I wouldn't let entropy order my money..
I gave my Second Law lecture to my Freshman chemistry class this morning and that is exactly the way I say it too: increasing entropy is about spreading energy out. Our illustrations are at the molecular scale, but it always comes back to energy spreads out because states of the system that overwhelmingly most likely are those with the energy spread out.
What a kind, simple and entertaining way to explain things. Thank you, enjoyed it :)
Absolutely love your way of defining entropy!
Really fun video to watch, made entropy easier to grasp.
I always had a problem with the general description of entropy "measure of disorder". Thank you for this video.
Entropy increases and so does my understanding of entropy, thanks to this video!
@Erick Lopes Usable energy anyway. I suppose that's splitting hairs, though. Entropy increases as one runs steam through a turbine and enthalpy decreases. Then one condenses it and pumps it back to the boiler where entropy is decreased and enthalpy increased so it can be sent back to the turbine to do more useful work. Enthalpy is order and thus usable energy where entropy is disordered unusable energy.
Erick Lopes yep
So...
Battery charged: Low entropy
Battery discharged: High entropy?
So entropy is kind of the opposite of available energy?
P Hampton I don't want to play with that fire too much, but there is following phenomena: syntropy. This the new organization. E.g. when one's organization gets bad, and it gets reorganized; etc...etc...
Great!
Hi Steve. Thank you for always posting interesting content. This had my attention from start to finish. I have just one issue with your final thought. A closed container with the content at equilibrium will still have random movement and snapshots of the distribution of atoms would change over time. I think that time would continue even after equilibrium is reached. I might be wrong though. 😅
Really informative video, makes the concept of entropy so understandable. Thank you.
Far out. You've explained a lot of my questions about Entropy and have got me thinking about other questions now. I must delve deeper into the subject. Thank you sir.
Great video.
Something not mentioned in this video, which is also interesting, is the relationship between "meaning" and "entropy."
In other-words, the more disorder something has, the more potential it has.
Super well done! I love that definition!
Sir, you are a huge clump of energy and enthusiasm!
Space
Once we watched this video and understood it and are as clever as him in this particular 11:42 mins of subject, we will not watch it again, does that prove knowledge or emotional entropy
But Steve is an exception to the rule - he spreads the energy around all the time, but it never loses its magic.
Recently found, and subscribed to, your channel. Good goodness but this is a much more reasonable definition of entropy. You've added a bit of happy to my world. Thanks, dude!
I remember in high school a girl in my physics class concluded half jokingly that everything would eventually end up as heat, and the teacher agreed. Never knew that it was called entropy tho... Cool video!
Yes youre right this is the best explaination of entropy! I was intrigued by entropy since i first heard it in thermodynamics class. I think none of us in that class really understand what entropy is nor theyre interested since we're civil engrs not mechanical. But not me i was always fascinated what entropy is
Very late to this video as I discovered this channel only 2 days ago but damn, this was one of the best explanations of entropy I've watched/read. Subscribed!
So about the pingpong box, if the red ones are all given a piece of ferrous metal and the blue ones are given non-ferrous ballast and you attach a magnet to one side before shaking, will the magnet eventually lose its magnetism and essentially "wear out" from use due to the force it exerts to sort the pingpongs? I'm checking out your three videos on magnetism now, but I think that's a topic that could use some more love from you! I have a hard time grasping electromagnetism in particular, so I hope you'll get inspiration for more videos on that general topic because you're one of the best folks I know with regards to explaining fundamental phenomena.
This is the most intuitive video on thermodynamics I've ever watched. Thank you for finally making me understand what entropy is : )
Very nice. The same thing has occurred to me. I am a research thermodynamicist, looking at buoyancy vortices as heat engines. Someone has to….😅
I love your videos and humour and I learn good stuff, thanks brother!
This was a better description. I was always puzzled by entropy being classified as disorder because disorder is just human defined
We need more of this series!
As always, your videos are fun to watch and greatly educational. Thank you!
Probably your best video yet. Very well explained, with great examples. Great job Steve! Waiting for the next. :)
Great job steve.
Job steve
Steve job.
Japeking1: I grant you, oil and water doesn't mix or melt together even in zero gravity.
The separation of oil and water only takes place when their is a gravity gradient and the apparent increse in order comes at the expense of a decrease in gravitational potential energy.... an overall increase in entropy.
I somewhat go with Electro-Cute here. Probably Steve Mould's descriptions of entropy is better than the conventional one, but it is not perfect. I always think of entropy as energy striving for equilibrium; and if it is impossible for one form of energy to reach equilibrium with another form of energy (the example with water and oil mixed together in a glass) each energy form still find the best equilibrium state in relation to each others -- the water for itself at the bottom of the glass, and the oil for itself at the top of it.
OK I have to admit to being slightly didactic with these questions as I already know a bit about the answers. Both examples are from Penrose's books. The oil and water example is from Cycles of Time, which has several really good chapters about entropy. When the oil and water separates out, the oil molecules end up with a higher velocity due to the strong attractive forces between them, and you have to take the velocities of those molecules into account as well as their positions. Entropy still increases when you look at the _phase space_ as opposed to just the _position space_ in this example. This is why you can't just think of entropy as "stuff not being spread out".
The gravitation example is even more striking (and Penrose talks about it a lot in all his books) because this is the reason why entropy is (still) so low and what makes life as we know it possible. I don't know exactly how you quantify the entropy of the gravity in a system, but the basic idea can be visualized by thinking of those rubber sheet analogies people use to explain GR. A very smooth sheet with no kinks in it has low entropy compared to one that's all rucked up.
The big bang resulted in a big ball of hot gas, very evenly spread out. That feels like a textbook example of maximum entropy. So why isn't it still just a big ball of hot gas evenly spread out? The reason is that when you take gravity into account, its total entropy was not high but incredibly low. Because of gravity the stuff clumped together and formed stars and planets with orderly motion, and hence night and day which provide our primary low entropy source for life on Earth. But all the time entropy was still increasing. The end-point of all this is black holes, which have the highest entropy possible (and there are some interesting theorems about this).
Now deviating slightly from Penrose, who doesn't talk much about Shannon entropy, but sticks to more "thermodynamic' definitions, the only really convincing explanation I have seen about why Maxwell's Demon wouldn't work combines the thermodynamic and "information" ideas of entropy, and therefore I do think you have to consider them as being the same thing.
So the thing about Mould's definition of entropy is that it's great for analyzing heat engines but that the common idea of "entropy being a kind of disorder" that he disparages is actually more general and I would say not bad at all as a starting point for trying to understand the idea.
I remember I've always been wondering what entropy really is because wether a room is messy or not is subjective, the word disorder is also kind of subjective.
The degree of disorder that qualifies as messy is subjective, but the fact that "less disorder is less messy" is the objective part. If someone splashed paint on your wall it would be considered messy, until you find out their name is Jackson Pollock. In that case, there are relatively few random configurations that are similar to this highly specific, one-of-a-kind work of art.
I have been always confused about entropy until I watched this video. Thanks for making it
I just recently purchased a Sterling Engine model (and a Tensegrity Table) to Science educate my grand-kids (they'll face challenges greater than I've faced, and I'll be 'gone' in 20-30 years, optimistically). In the course of exploring, THIS post was suggested... and I've shared. Thank you!! I feel it was brilliantly explained and worthy of interest. Just sitting on a train, in a station, not moving yet... and an 11 minute compilation of Brilliance I just discovered when I needed it.
Have been wrapping my mind around the unlogical definition of increased disorder and have been stumbling on getting the meaning really, until I saw this, thanks for this video really
Such videos make me fall in love with science again and keep me motivated
So yeah I'm thankful I found your channel 😀
I finally understand, after so many videos and articles - now, the clumped energy of my frustration has been dispersed! Thank you!
😄
It would be very nice if there was a universal law that said frustration would always tend to become dispersed. It seems the opposite may be true.
after 20 videos I finally found one that is simple, complex and easy to understand
There are terms for piston positions, such as TPD top dead center, BDC bottom dead center. The foam block appears to working in the opposite direction of the cylinder.
Great video thanks. I am now wondering; How did the energies in the universe get organised in the first place?
Amazing video Steve! One doubt: when you operate the motor in reverse mode, which plate will become hot and which one will become cold? (Assuming that in normal mode you just need a difference in temperature and not a specific plate to be colder or hoter than the other). Thx!
Great explanation. Now, does it apply to poli-tics?
I watch this video before and after my thermodynamics class. Now I understand the video better but I have to say that you explain better than my professor!
@Steve O'Hare congrats on finally learning algebra
The problem with Professors is that they think everyone understands what they are talking about instead of realizing in comparison to himself they are all a class of Chimps sitting in front of him, this is why I couldn't learn Algebra at school, I do understand it now as a good mate that could explain things the way Steve Mould does actually taught me Algebra it in about 10 minutes when I was 28 lol.
That was really interesting for this reason: given the amount of time the Universe has until it's heat death, that is enough time to allow for the statistical possibility that all the red and blue ping pong balls order themselves just once, and when that happens (if) then that would be a scary amount of enthalpy that could suddenly become available. Given that the Universe is finite yet boundless (and really, really big) I know that conventional wisdom says that it cannot happen but in all the time available there could be prolific pockets of enthalpy eruptions. I wonder if that actually happens quite regularly at the quantum level... I'm joking of course, since the discovery that entropy can decrease over time in a quantum system and quantum effects can be used to "clean up the states of systems". Interesting huh :) What I wonder is that if the quantum example can extrapolate to the macro system, or rather how it does that, similarly to how known quantum effects extrapolate to the macro universe we experience around us...
Michael Borne,
If i understood the question, it Still wouldn't allow me an answer, ie: i don't know . . .
My basic understanding is a star being born from gravity is the clumping of entropy...
Thanks for this video! It is a much better explanation of entropy than the one we learned at school. Just a super nitpick (to be fair, you used the term ‘for statistical rigour’ so I think I can make this point!) but having all the red ping pong balls on one side and blue on the other is not just ONE of the possible arrangements because each of the reds are interchangeable offering a very high number of possibilities of red on one side (and of blue in the other side which are also self interchangeable). But even that high number of possibilities is thoroughly dwarfed by the number of overall possibilities, therefore we never see it. That being said, obviously, I know you were keeping things simple!
Yes and double that, because the reds could be on either side with the blues on the opposite side. But it is thoroughly dwarfed by the total number of overall possibilities. Statistics you are a cruel mistress! Great video thanks!
That was a great explanation of entropy. 👍🏻
Thanks for sharing this video, very well explained the entropy.🙏
This video finally cleared my doubts. Thank you.
As far as I know, out of all entropy videos, only this one mentions why the concept of entropy was introduced and gives a clear reason as to why entropy always increases. You are doing god's work my man. AWESOME explanation. :)
+Siddhant Chaudhari thank you :)
This video is highly recommended for high school students like me. Great explanation!!
Great simple explanation that really gets at what entropy means. I also like to think of entropy as what happens to energy as you move toward a state of equilibrium. At equilibrium, no energy interactions exist anymore. Similarly, energy itself is then a measure of how far you are from that equilibrium state.
"For a closed system." If you leave that out, you fail.
Measurement of dissorder seems abstract for me. Your explanation with this different way is better for me to understand. Thank you
Best description of entropy I’ve watched. Thanks
Brilliant! Greater the ∆T and smaller the time function to evenly spread the transfer of that bundled energy, more will be the useful output of power from the engine
Steve you are so good at explaining difficult concepts! Could you do a video on pKa and pH please?
Well done, that Sterling Engine is really cool, but I’m surprised that the air inside of it is capable of expanding and contracting so quickly? 🤔
Wow. He made entropy so easy to understand.
Being a mechanical engineering student. I have studied alot of thermodynamics and i found this video the best explanation of entropy.
Thank you
Thanks for the clip! I've got a formal training in theor. physics including Ph.D., so I have learnt both the microscopic-statistical "measure of disorder" (correct but not easy to turn into useful calculation) as well as the thermodynamic, blackbox-process-motivated "state quantity that varies with dQ/T" (also correct, and more useful, but somewhat distant from getting an intuitive understanding).
I keep struggling with forming an intuitive (yet quantitative and correct) grasp of entropy. Your clip helped, but I keep struggling.
Energy is much easier in this respect. It's simply a conserved quantity.
I love your definition of entropy
I'm an Aerospace Engineer, studied at the University of Maryland. This is by far the best explanation of Entropy I've ever heard. You get into another level of complexity when solving for Entropy (S) as a function of heat transfer (Q) and absolute temperature (T), but having this foundational understanding gives context to really comprehend your solution. Good stuff!
@Seth Hi Seth, where did you end up going to school? Let me know if you need a job! I'm at Booz Allen and I work at DARPA.
If entropy is universal, why are there huge complex strands of galaxies in space?
Yo.. Can i get you insta man?😄
Ahhh Thermodynamics 1 and 2 fun times at uni
Thanks a lot for this impressive explanation! I've been strugglin' to understand entropy for years!
But I'm still struggling how to create a perpetual motion machine. Could you help me with that in your next video? (But keep it private?)
The ability to work against the laws of nature, rise up against gravity like trees and humans do or to consentrate energy locally like cells do, is one thing that I think separates life forms from dead matter. It is at least very fascinating that the few arrangements possible to construct these processes that work against gravity and reduce entropy, exists, when it is so so so unlikely, as you point out so well with the example of the red and blue balls. It's so fine tuned.
This fella has a smirk that is just absolutely infectious lmao. Also, the best description of entropy, methinks. Subscribed 😆
This really puts into light how terrible my thermodynamics teacher is at explaining this lol. Thanks!!
Thanks for a good explanation of Entropy. I have read and heard many bad explanations in the past.
And here we find our Hero Cpt. Mould struck by the insane desire to clear up a basic physics concept during his daily train commute.
@Andrew Robertson I don't agree that this is obvious, and even if it was how does this explanation explain what happens when the two metals aren't the same? That's not at all obvious to me, and at this point I've had about two years of thermodynamics classes ranging from gen chem to graduate level statistical mechanics. I don't see how someone who is totally ignorant of the topic is supposed to arrive at reasonable conclusions from it.
But really, the most damning thing is that this video simply isn't an explanation for entropy. What he is describing is not entropy. He is describing a consequence of the concept of equally probable microstates that happens to work well for the few systems he described and few others.
The context of the discussion and accompanying diagram make it clear that he is talking about two identical slabs of the same metal. He could, of course, divert to say that the thermal energy distribution would be different for slabs of different material but that would be unnecessary for this discussion (he's not talking about the relationship of thermal energy and temperature) and make the discussion overly complex.
I know that, it was allso kind of my point. Temperature is a thermodynamical perspective on a very simplified system.
What the guy in the video said was that the systems will reach equal thermal energy distribution (or at least that is how I interpreted it). But that is only true for few special cases.
Electro-Cute high energy density doesn't mean it will transfer more energy to a material of lower energy density at the same temperature, it just means it has more energy states accessible to store energy. Two touching materials at the same temperature will have an even energy transfer in a closed system no matter what their heat capacity is. Their energy content will not converge unless the materials themselves decay into each other to form a homogeneous spread of atoms.
This video explains thermodynamics wrong. It is obvious that Steve Mould doesn't understand the difference between temperature and thermal energy.
If you have a material A with a very high thermal capacity next to a material B with a very low thermal capacity then A and B will try to reach the same temperature, but not the same energy dencity.
So in other word you will find a huge gradient between the energy density of material A and B, even when they reach the same temperature.
Lets say that material A is much more dence than B and both have the same bolume. This means that it is more likely that the energy will be transfered from B to A than from A to B. Because there is more mass in A than in B that can hold on to the energy.
So in the end it is all about probability. It is more probable that the energy will be transfered to the material of high thermal capacity than the one with low thermal capacity.
The most probable balance of energy depends on the laws that governs the universe. In the case of two simple materials like this it is governed by the laws that define the property of different materials.
In a hypothetical case our universe could be governed by laws that we may not allready know of; very complex laws that states that our universe is allready existing in thermal equalibrium.
By far the best explanation of entropy on the internet
I like the ping-pong ball box analogy, as it's also useful for explaining Chaos.
You could fill the box with half red and blue balls in the same way, and use a machine to precisely shake the box, then note the position of the balls. Put the balls back in their half/half configuration, and repeat the exercise. The chances are the balls will settle into a different position every time, and you never effectively predict where the balls will land. This system is chaotic.
Now I think that arguably, if the balls are set up precisely enough, and the box is maintained precisely enough, and the machine shakes precisely enough, and the temperature is precisely maintained, and it can be isolated from all external interference, perhaps you could predict the outcome of the test, and get the same result each time. However even the tiniest change in any factor will produce wildly different results, such that we cannot conceivably engineer such precise conditions to make the outcome predictable, even if we had an inconceivable amount of analytical computing power. That is chaos.
9:16 if you think about it, depending on how many balls in the box, there is going to be many more ways than one as each ball could rotate once within its own colour to give you a second way amongst I’m sure many more but, obviously the number compared to an even looking distribution is far smaller.
as the title suggests, this is the better description of entropy. Thanks Steve.
could you place the hotter plate in the sun and the colder slab in the shade to make it solar powered?
also, could you connect the colder slab to a huge funnel to concentrate air flow around (too cool it down)
also, could you make the wheel look a little bit like fan to promote airflow around the top slab (to keep it slightly colder than the hot slab)
Entropy is the property of energy to tend toward uniform distribution, rather than concentration. That's how I've always described it 🙂Great video!
Yeah thanks for your description. I also prefer concentration to dispersion instead of order to disorder
Yes. I always appreciate articulate, eloquent people. Thanks for this description.
its not only a property of energy, you could use for information too... or whatever that has a statistical approach.
@fluent_styles Endothermic reactions happen (in terms of energy levels, there's lots of equivalent ways to describe them) because more energy levels become accessible to the products as the reaction progresses, outweighing those lost in the reactants due to the loss in temperature. So, overall theres an increase in entropy (which is the log of the available microstates). More specifically, the ratio of the partition functions of the products and reactants increases with temperature and so at some point the equilibrium will favour the product (there's also an enthalpic contribution due to the boltzmann factor, but that's less significant).
Thanks for expanding my mind with a new concept. It's been fully digested
Pretty dang good explanation. I feel like I understand it more clearly now. Not that I'm certain I understand it ;)
Now that I finally understand entropy I can say I'm lazy because I don't want the universe to die faster.
Welcome to the Negentropy Alliance! [Look up "Orion's Arm" "Negentropy"]
reset*
My preferred definition was always "the uselessness of energy", since increasing it makes energy less useful. Which is pretty close to yours.
I love the fact that you powered the engine by using the change in disorder in the solution in the heart pack...
This is the first satisfying explanation I've heard. Thank you!
Well, that's the actual thing about thermodynamical systems: in a state of equilibrium, the energy is still distributed evenly, even if it's not only calculated from kinetic energy of thermal motion. Even if the temperatures are different, that doesn't mean that energy is not distributed evenly. In a complicated system like this, equilibrium is stillstate in which every part has just equal amount of energy, so temperatures don't equate if there is still, some amount of potential energy.
With in a system of thermal equalibrium the distribution of ennergy will be govern by the laws of that system. If that system contains just a simple ideal gas then the energy of this system will be as spread out evenly. If that system is a somewhat badly idonized plasma then you will have a much more complex distribution of energy.
You see, there are far less ways of having the energy clumped together than having it is spread out and distributed. The state towards which system is going is a state where any given particle might contain a trace of something that was in the system initially, or it equally might not contain any trace of, which creates a huge amount of variation and branching. System in it's final state may not be reconstructed based only on it's initial state. Essentially, that's what the enthropy decribes.
Yes, the energy won't clump together. This IS the nature of the Universe. There is no simple one-way solution that works no matter how you look at it. In fact, the number of solutions is constantly growing. This is where concept of enthropy emerges, enthropy is basically the amount of equivalent energetically configurations of said system. We can't look at a system and say that there is but one way to go from then on, but we can say that the amount of present (or possible) configurations in current system is constantly growing.
If there where no forces guiding matter then energy wouldn't clump together. But how energy behaves all depends on the nature of the universe. There are no simple one way solution that works no matter what system you look at.
lovely video and wonderfully explained.
Beautifully narrated.
enlighted explanations, sir. thank you.
Wonderful explanation!!!! Cheers man👌
I came over to this video from your recent pully vid (5/27/20121, very interesting btw) and I really like your definition of entropy. It does make much more sense. You mentioned the heat death of the universe and that time may in fact end since entropy would end and entropy may be giving us the arrow of time, but I wonder if time will ever end, especially if time is based on statistical change? I may be thinking about this incorrectly, but if we define time as change, then time may never end. Suppose we start with state A and by some process, we transition to state B, and as that process continues we come to state C and so on. State A is different (by some definition) from B so we change, where change is defined by unique states of the system in question. As this process continues we have a series of unique states that define an arrow of time as one state transitions to a new state by this process.
In the universe of heat death, quantum fluctuation of spacetime will still occur, but those functions will be random and spread out over the universe so it would be hard to define the state of change in that system. But since we are talking about eternity essentially, at some point those fluctuations may organize themselves into a non-random structure of some sort, since anything is likely to happen given an eternity of quantum fluctuations. Now we have a unique state that didn't exist before. We start with a state of completely random fluctuations A, but now we have a state, where we have a non-random structure in the universe that we can call B. So the universe has transitioned from state A to state B, it has changed and is different than before, so now we have again an arrow of time that points from A to B.
Of course, you could say that entropy has reversed, something not likely to happen, but since we're talking about a statistical chance over eternity, it is almost guaranteed to happen. This means time can never actually end until there is no statistical chance of change in the universe, something that seems impossible given the quantum fluctuations of spacetime. It seems to me as long as quantum fluctuations of the spacetime can occur we will always have an arrow of time. If the big bang sprang from a chance organization of quantum fluctuations over a previous eternity of a dead universe, then time existed before the big bang and not in the big bang itself.
Does this make sense? Or am I missing something obvious here?
layers of time. like sedentary rock. The time that sprung out from our big bang is not the same as the time that existed before it. Our time and fluctuations therein is like a baby time layer in comparison. But it all reverberates like a hologram from its original fluctuating organizational convergence as you put it, in perfect harmony. That's why we align with stars & have eclipses at specific moments where they all line up. But just as everything has a beginning, middle and end, so too does every fluctuation.
Thank you I actually understood this. I've always thought that entropy was energy spreading out but then I heard the definition of disorder and chaos and I got really confused.
Thanks Steve. I was introduced to stirling engines many years ago via a cup of tea (or coffee).
That engine is impressively well made.
Thanks for the video! I remember feeling so lied to when I first learned in physical chemistry that the universal increase in entropy is a purely statistical phenomenon. It bothers me that we call the second law of thermodynamics a law when there’s a finite, though ridiculously small, chance of it spontaneously being broken.
Gotcha, like the Law of Large Numbers in probability theory. That makes sense!
It's called a law because there is no phenomenon, theoretical or otherwise, that would change the probability of reversing entropy. Even in the freak occurrence where entropy is meaningfully reversed, the universe will still trend towards increasing entropy afterwards.