It is often said that perpetual motion is impossible. Many people try to invent perpetual motion machines. Apparently every such attempt is doomed to failure. People don't even need to look at one to know this. What is it about perpetual motion that makes it impossible?
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29$\begingroup$ Just to explain why this has been asked and answered by the same person, mmesser314 has previously expressed interest in a central question "hub" that we can direct folks when they post random perpetual motion ideas on PSE, see PSE Meta physics.meta.stackexchange.com/q/14768 . $\endgroup$– CR DrostCommented Aug 30 at 1:47
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12$\begingroup$ To add to what @CRDrost says above, note that this doesn't mean any perpetual motion question should be closed as a duplicate of this question. Rather, this post should be used as an extra, general resource. A good PSE post on a specific perpetual motion machine can still ask about the relevant physics and where the energy is lost and/or not gained, and a good answer can supply the correct physics and reasoning. $\endgroup$– BioPhysicistCommented Aug 30 at 3:16
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13$\begingroup$ There is a presumption that a perpetual motion machine is impossible since it would break the laws of thermodynamics. Of course, it is possible that the laws of thermodynamics could be wrong or less universal than they appear, despite all the evidence that we have to the contrary. However, the onus lies on the inventor to give a practical demonstration that their invention works. If there is the slightest chance of this then the resulting rewards would be so great that any time spent posting here to ask "what is wrong with my idea" is totally wasted. $\endgroup$– gandalf61Commented Aug 30 at 9:22
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13$\begingroup$ Relevant XKCD. $\endgroup$– gerritCommented Aug 30 at 14:12
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1$\begingroup$ physics.stackexchange.com/questions/301440/… $\endgroup$– MithoronCommented Aug 30 at 17:07
13 Answers
There are two main types of perpetual motion machines:
Perpetual motion machines of the first kind: These machines would create energy out of nothing. This is impossible because it violates the law of conservation of energy, which says that energy can't be created or destroyed, only changed from one form to another.
Perpetual motion machines of the second kind: These machines would convert all heat into work, without any waste. This is also impossible because it violates the second law of thermodynamics. This law says that heat always flows from a hotter object to a colder object, and you can't convert all that heat into useful work.
Another answer explains why perpetual motion machines of the first kind are not possible. Regarding the impossibility of perpetual motion machines of the second kind, it has not been definitively proven that the second law of thermodynamics cannot be violated. However, it is one of the most well-tested and fundamental laws of physics. The second law is deeply rooted in statistical mechanics, a branch of physics that deals with the behavior of systems with many particles. It is a consequence of the statistical nature of these systems.
But there is no definite widely accepted proof of their impossibility.
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1$\begingroup$ Comments have been moved to chat; please do not continue the discussion here. Before posting a comment below this one, please review the purposes of comments. Comments that do not request clarification or suggest improvements usually belong as an answer, on Physics Meta, or in Physics Chat. Comments continuing discussion may be removed. $\endgroup$– Buzz ♦Commented Aug 30 at 21:17
Practically, it's not a good use of time for a physicist to examine every purported perpetual motion machine.
Most perpetual motion machines are developed by people with basic misconceptions about physics or con artists. The machines are either frauds or are obtaining their energy from some source.
Conservation of Energy and the Second Law of Thermodynamics have been explicitly and implicitly tested in thousands of experiments. A large part of our current understanding of physics is built on top of these laws, and most of our predictions would not work if these laws were not nearly always followed. They appear to be obeyed for a wide range of systems, from human-sized machines, to galaxies, to atomic nuclei. If there are some cases where they violated, it would have to be somehow exceptional or somehow hidden so that it wasn't noticed before, despite centuries of experimentation.
It is very unlikely that some new, unexpected violation will appear for some magnets taped to a wheel. However, violations of these basic laws are sometimes considered to explain new phenomena.
Scientists are naturally going to be skeptical of claims of violations of these laws, and it is just not worth it to investigate every one. If you think you have a system that violates these laws, it would be very extraordinary and you'd need to have a mountain of evidence showing that the energy wasn't coming from somewhere to get the attention of a working physicist. Extraordinary claims require extraordinary evidence.
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3$\begingroup$ Why do physicists say a proposed perpetual motion machine won't work without even looking at it? on on Meta would be a better place for this response. You can discuss the value of questions there. Here is for answers. $\endgroup$ Commented Aug 30 at 18:42
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4$\begingroup$ @mmesser314: This answer hits an important scientific point most others don’t: it explains why after “This machine would break the laws of thermodynamics”, the sensible next response is “…so it can’t work as claimed” rather than “…so it’s an interesting experiment to test our theory”. Taking a theory as so definitive that it’s not worth experiments that would falsify it sounds arguably unscientific — so it deserves explaining why it’s good science when the theory is sufficiently well-established. $\endgroup$– PLLCommented Aug 31 at 9:50
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$\begingroup$ In order to understand a perpetual motion machine, ask a magician. $\endgroup$– JoshuaCommented Sep 1 at 21:52
A perpetual motion machine at worst maintains the exact amount of energy that it begins with, otherwise it would lose energy and stop moving, hence not perpetual motion.
A device which maintains its exact original amount of energy is not, in theory, forbidden by the laws of classical Hamiltonian mechanics. Indeed, an ideal pendulum will swing forever. However, in practice, any system is always coupled to the "environment" somehow. This coupling often comes in the following forms:
- surface contact friction (this limits, for example, mechanical watches)
- Air resistance
- Ohmic resistance
- Radiative losses
- Thermal losses (conductive, convective, radiative)
Any proposed perpetual motion machine will have some sort of environmental coupling like the above examples which will cause energy loss over time, thus spoiling the perpetual motion. A device which "looks like" a perpetual motion machine likely has some hidden energy source that is pumping energy into the system at a similar rate that energy is being lost due to the environmental couplings.
There are some proposals for perpetual motions machines which actually generate more energy than the energy that is put in. These machines ARE forbidden by the laws of physics which state that energy must be conserved.
So for the former case I can tell you that there can be no such perpetual motion machine because there is ALWAYS some external environmental coupling that damps energy from the system.
For the latter case I can tell you there can be no such perpetuatl motion machine because it would break conservation of energy.
In neither case do I need to see the details of the proposal to tell you that perpetual motion is impossible. In some cases it may be tricky to identify the energy loss mechanism, or a secret energy pumping mechanism, and this can make studying perpetual motion machine proposals interesting despite the fact that we know before starting that the result is impossible.
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1$\begingroup$ Do the asteroids in the asteroid belt count as perpetual-motion machines? They seem to remain in motion in perpetuity (although I don't think they are doing any useful work either) $\endgroup$ Commented Sep 1 at 4:58
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2$\begingroup$ @JeremyFriesner read the Wikipedia page on the asteroid belt: en.wikipedia.org/wiki/Asteroid_belt. You can see there are collisions between asteroids in the asteroid belt. These collisions won't be 100% elastic, some energy will be lost to heat. It also looks like the Poynting-Robertson effect is an interaction between the solar winds and small dust particles in the asteroid belts that results in a loss of energy. So no, the asteroid belt, like any other macroscopic physical system, loses energy, even if it is very slowly. $\endgroup$ Commented Sep 1 at 8:38
A perpetual motion machine is something that does some motion over and over, and never stops. They are divided into two kinds, both impossible.
With each repetition, a perpetual motion machines of the first kind has more energy that before. Usually the idea is to remove that energy and do something useful with it.
The immediate response from most physicists is that this won't work because it violates the law of conservation of energy. This is the idea that no matter what you do, you have the same amount of energy before and after.
A generator might work by burning fuel. This turns chemical energy in the fuel into electrical energy. The generator makes the same rotation over and over, producing energy with each turn. But this doesn't count as perpetual motion because the generator doesn't return to the same state after each turn. The fuel level is a little lower. Eventually the machine will stop because it runs out of fuel. A generator transforms energy, but does not produce it from nothing.
To get the flavor of the kind of mistake that is made in proposed perpetual motion machines and why they are dismissed out of hand, consider this example.
Suppose If you drive from a high altitude point, A, to a low altitude point, B. Altitude comes with potential energy. You can coast from A to B without using fuel. You will speed up on downhill stretches and slow down on uphill stretches. But if you lost altitude overall, you have gained more speed than you lost. You have converted potential energy into kinetic energy.
To turn this into a perpetual motion machine, all you have to do is find a route that goes from A back to A while losing altitude. Somebody spends time with a map, and comes up with a proposed route.
A physicist says it doesn't matter how clever or intricate the route was. If you go from A to A, the altitude is the same when you left and when you arrived. The potential energy is the same. You cannot have gained kinetic energy. He does not need to look at the route to see this. He only needs to look at the start and end altitude. All loop trips come back to the same altitude. So no loop trip is a perpetual motion machine.
A perpetual motion machine of the second kind doesn't gain energy with each repetition. But it never loses energy either.
This is impossible because you can't make anything with moving parts perfect. This isn't at all obvious and isn't a very satisfying reason. It isn't as obviously true as the impossibility of getting something from nothing. It is tantalizing because you can almost make one by making something that is almost perfect. It leaves the feeling that if it falls short, maybe you can just improve the shortcomings.
The route from A back to A is an example of this kind of perpetual motion machine. You come back to the same height as you left. This means you have the same potential energy as when you left. At first glance, it seems like this is a perpetual motion machine. But how would you make it?
A car has moving parts, and moving parts have friction. A more careful look at the energy shows that you convert potential energy to kinetic energy as you coast downhill faster and faster. And friction converts kinetic energy to heat. This slows you down. You don't have enough kinetic energy left to coast all the way back up to the original altitude.
So you set about eliminating all sources of friction. Instead of wheels, you magnetically levitate the car. You run it in a vacuum to eliminate wind resistance. But there is always something you cannot eliminate perfectly.
To be a perpetual motion machine, there must be parts that move with respect to each other. The parts must exert forces on each other. Parts are made of atoms. This means atoms in one parts exerts forces on atoms in the other parts. Parts have thermal energy, which means the atoms are always jiggling randomly.
If one part rubs on another, friction converts kinetic energy into heat. Atoms in one part bump into atoms in the other and make them jiggle harder.
A principal of thermodynamics says that once energy is converted to heat, you would have to use energy to convert it back. The total jiggling always goes up in this process. This is why you have to be perfect. You cannot allow any energy to be converted to heat because a perpetual motion machine cannot spend kinetic or potential energy to convert it back.
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3$\begingroup$ You forgot to include that there are also proposed perpetual motion machines of the second kind (those who violate the second law but conserve energy). May be you should address these too for completeness. $\endgroup$ Commented Aug 30 at 4:15
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2$\begingroup$ Your argument seems to rely on the simple connectedness of space (to get the single-valuedness of potential energy), so it's arguably subtler than you're making it appear. $\endgroup$– WillOCommented Aug 30 at 5:40
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1$\begingroup$ I believe the 2nd law already prohibits a perpetuum mobile as it does not need the law of conservation of energy (the "equivalence" of heat and work/energy). Instead, it needs only the conservation of work in an unreal reversible and non-conservation of work in any real but irreversible process. In addition to the historical precedence the numbering of the "laws" should have been reversed... $\endgroup$ Commented Aug 30 at 14:35
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1$\begingroup$ I updated my answer. I am not totally satisfied with it. A perpetual motion machine of the second kind is impossible because you can't make anything perfect. There must be a better way to say it. $\endgroup$ Commented Aug 30 at 15:34
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1$\begingroup$ It is more subtle than that, remember maxwell's demon $\endgroup$ Commented Aug 30 at 17:00
There are already a lot of good answers, but I'll add one slightly different perspective. Since you can't actually build a perpetual motion machine, when people claim that one such machine works, they are always making theoretical arguments. Those arguments usually invoke basic results in physics, such as the forces between magnets, the buoyant force, torque balance, and so on.
However, those results in turn are derived from the basic laws of physics, and from those laws, you can also derive that energy is conserved! So the argument saws off the branch it's standing on.
If you think about it, there are only four logical possibilities:
- The known laws of physics contain an internal logical contradiction. It would seem very unlikely for nobody to have noticed this, especially because these machines are often made of very common parts, like magnets and ropes.
- The machine exploits a violation of the known laws of physics. We can usually ignore this possibility because perpetual motion machine designers assume the laws of physics work in order to argue their machine works in the first place. Sometimes machines do violate the known laws of physics, but in that case they're not machines, they're physics experiments discovering new effects. Generally, such experiments are rare and difficult, and unlikely to be built in some retired engineer's garage.
- The machine works, but only by using some other source of energy which its designer didn't account for. A lot of "working" perpetual motion machines actually just inefficiently harvest solar energy, or the Earth's rotational or magnetic field energy, or something else like that. These aren't interesting because they're usually extremely uneconomical compared to other energy generation mechanisms, like solar power or nuclear power.
- The machine doesn't work.
Physicists dismiss perpetual motion machines because the first two options are exceedingly unlikely, and the last two are boring.
Another important factor is that it tends to be exhausting to debate the designers of such machines. It's usually pretty obvious, even to people without physics training, that a simple machine won't work. Most people just give up there, and the ones that don't are those who psychologically need their idea to work. They simply tack on more and more complications, until they can no longer tell at a glance that it doesn't work, and then triumphantly claim that it therefore does work. Not only does this complication make it hard to analyze their machine, but once you disagree, they simply add another complication and declare that the new machine must work. The process repeats forever, because these people are only interested in ways they can be right, rather than considering the possibility that they're wrong.
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3$\begingroup$ +1 Yes, an incredibly important part is the infinite regress. Those questions absolutely require closing. $\endgroup$ Commented Aug 31 at 5:19
This is a form of inductive reasoning, which is generally how (experimental) science operates. Perpetual motion machines - which should better be called "perpetual work machines", IMO - are often said to be "forbidden" by the first and/or second laws of thermodynamics, viz. conservation of energy and the non-decrease of entropy in a closed system. However, we don't actually know if some cosmic agent like a deity is actually responsible or not for "forbidding" or enforcing these "laws" at least scientifically; instead what science does is it shows us that, again and again, we find, i.e. observe, that any attempt to go against the laws constantly fails to do so. The huge list of failed perpetual motion machines is, itself, a substantial body of evidence in favor of those laws' validity. That, in turn, is joined by the much larger body of observations of physical phenomena not directly or intentionally aimed at creating a PMM but nonetheless seen to conform to theory that can be mathematically shown to obey those two laws. And - and this may be last but is far from least - each time we discover something new, we find that it still obeys those laws!
What this means is that, given we have seen over and over that the first and second laws of thermodynamics are upheld each and every time, we can expect that it is likely they will continue to hold up forever. This is not a proof, though - it is experience. And that is the fundamental basis of science: experience, handled in a very careful and controlled fashion to ensure we faithfully record what actually happens and do not allow our recordings to become biased by our various psychological habits (e.g. dropping and/or adding spurious, data points).
So then from that huge body of aggregate experience, we likewise presume the next PMM thrown our way is just not gonna work, as that's what it means for those two laws to keep holding in that case. It's the same as when you know that the Sun rises every day, you expect it will keep rising; and that when you know that you go out each day you won't suddenly run into an invisible wall in front of your door. It's just something that continued experience keeps training us not to expect deviation from.
All perpetual machine projects that was checked back then and now - violate fundamental laws of thermodynamics, which has been established in Physics more than $150$ years ago and confirmed by countless number of experiments. Hence it's $99.99\%$ likely that next "big thing" in perpetual machines invention will have same thermodynamic cracks as their predecessors. And to be honest,- Physicists are tired to do a Sisyphean work of finding loopholes over and over again.
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1$\begingroup$ So you argue that it is necessary to check each invention because there is a 0.01% chance it will work? $\endgroup$– pipeCommented Aug 30 at 15:44
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3$\begingroup$ @pipe: No. There is a 0.01% chance it will fail in a never-seen-before way $\endgroup$ Commented Aug 30 at 18:10
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1$\begingroup$ 99.99%? It's 100. with an infinite amount of zeros to the right of the decimal point. But you knew that. :) $\endgroup$ Commented Sep 1 at 3:12
Many factors make these types of machines impossible because these machines break some of the laws of physics, especially thermodynamics. Let me show you:-
First Law of Thermodynamics:- this law states that energy can never be created nor be destroyed since Perpetual machines have to generate power on their own from nothing to run for unlimited time. This means the machine should not lose any energy in terms of friction, heat, etc.
Second Law of Thermodynamics:- The second law states that in a closed system, entropy tends to increase over time. Essentially, energy naturally spreads out and becomes less useful for doing work. In a perpetual motion machine, maintaining continuous motion would require a constant decrease in entropy, which contradicts this law.
Perpetual motion machines are impossible because they would require breaking the fundamental rules that govern energy conservation and the natural tendency of energy to disperse.
Thank You, Have a nice day
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1$\begingroup$ not in a closed system but in an isolated one; moreover, the verb "tend" is quite nebulous by adding even more mystery to this subject $\endgroup$ Commented Aug 30 at 14:29
I vehemently disagree with mmesser314's portrayal that there is only the CoE violation. A perpetual motion machine's design can easily conform to CoE but violate 2LoT, and so I agree with Pato Galmarini's answer. However, the core of my answer below is not that we prove this or that. It is instead about understanding and organising principles.
I think it is about the amount of effort needed to write a rebuttal, and that it is somewhat necessary.
By that, I mean that
- Conservation of Energy (CoE), and
- 2nd Law of Thermodynamics (2LoT)
are the fundamental building blocks for a modern physics understanding of our universe. Whereas we can easily point out when a certain scheme violates the CoE, it is a totally different situation when something obeys CoE but violates 2LoT.
After all, we do not teach entropy at the pre-university level, and even if we do upgrade to a level of civilisation whereby we teach entropy at the pre-university level, it takes 3 whole months of full-time education in statistical thermodynamics to finally begin to understand why it is that 2LoT is a fundamental organising principle for understanding how our universe is the way it is.
We cannot be expected to provide a long-winded university education for free, as much as we actually do wish or want to. It takes too long to write an answer that would satisfy the questioners in a way that they would not get to disagree with.
So, we have no choice but to close questions that violate 2LoT, as perpetual motion machine questions are.
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1$\begingroup$ We can explain why something violates the 2LOT or CoE. It is perfectly reasonable and within the site's normal approach to dealing with conceptual issues. It's really no different to any conceptual issue asked on the site. $\endgroup$ Commented Aug 30 at 12:35
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1$\begingroup$ Oh, that part is fine. But surely you can envision a layfolk who does not already know about 2LoT, maybe not even knowing that entropy is a thing to consider, asking why should 2LoT matter. Then you will run into what my post is trying to talk about. $\endgroup$ Commented Aug 30 at 13:42
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1$\begingroup$ Yes, I can see 2LOT confusing people. Handling that is just stating 2LOT as simply as possible, maybe linking to Wikipedia, and then stating that this has never been contradicted by any experiment. We can't deep dive, but that's different from not giving any explanation at all. $\endgroup$ Commented Aug 30 at 13:57
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1$\begingroup$ Yes; I agree that we ought to at least bring it to that level, and any impression to the contrary is an unfortunate wording on my part. However, linking to Wikipedia on 2LoT is vastly unlikely to be a sufficient explanation, again, for the reasons I have outlined above. $\endgroup$ Commented Aug 30 at 15:51
The principle of perpetual motion is impossible under the laws of thermodynamics which Einstein said are the only rules of physics which would never be overthrown. The possibility of perpetual motion rests on the assumption that a system can have an efficiency of 1, otherwise the losses will slow it. The laws of thermodynamics state that this is impossible as a system always loses energy. Your point about looking at it struck me as rather funny, as the act of observing a system means it is losing energy, sound, light etc. Possibly the universe could be considered the only feasable perpetual motion machine as it has nothing to lose energy to.
If spinning forever could be classed perpetual motion then place a spinning object in deep space. It would reach a thermal equilibrium probably close to absolute zero. Also it would only vanishingly rarely receive any collisions with stray particles. Any random collisions that did occur would probably balance out over time so it would continue to spin. However in the infinite reaches of time the chances of random collisions totally cancelling out would also be zero, so it it could at some time slow and possibly stop spinning. Entropy dooms the universe and all of us in it. Sleep tight.
This is a fascinatingly difficult question, which is why it is so common to have the perpetual motion dismissed out of hat. I think it's best to start with the heretical admission: one cannot know a perpetual motion machine can't work. That level of certainty is, in my opinion, hubris. The universe is bigger than us
So I need a different language to capture rational belief. The Baysean interpretation of probability is a good one. It's is described as a betting game. If you are 80% confident of something, you should be willing to bet 4:1 on the truth of that something.
In this sense, I redefine the idea of "knowing perpetual motion is impossible" as you would be willing to bet some pretty extreme odds (like putting up a \$1 million to win \$1). This definition is useful because it easily adapts to the amount of effort it takes to entertain a question.
It also gives some credence to the handling of impossible things, like the EM drive. The EM drive defies the conservation of momentum. Most scientists would bet against it, but it has earned a sort of mild neglect, even permitting some attempts and on orbit testing.
The next fine detail is that you call it a "proposed" perpetual motion machine. It's not a machine, it's a set of words describing the machine. And this is where the idea of "immediately" dismissing a perpetual motion machine starts to come into play. The laws of thermodynamics forbid perpetual motion machines, full stop. It can't be done. So any perpetual motion machine must contain something that is not part of the world of thermodynamics. If a machine offers nothing by electronics, magnetism, and other commonplace concepts, all of those are well understood to obey the laws of thermodynamics.
So for a perpetual motion machine to avoid immediate dismissal, there must be some argument for why thermodynamics does not apply
Many get dismissed right here. They just don't have any reason to believe it. If all you have is a gas engine, electrolysis, and a battery, you haven't left the well trod roads of thermodynamics.
Others claim gestalt effects. They took get dismissed, but for different reasons. If your argument is "all of these parts are thermodynamic, but put them together and they aren't," that's gestalt thinking. And you know what? I can't prove they're wrong. However, modern science is founded on a theory that all emergent behaviors are explained by their components. So maybe the machine does work. But it doesn't do so by science. It does so by some other force of nature.
The final common dismissal I know of is one of incomprehensible theories. Vortex Math and the Rodin coil fits into this. They have a theory for why their device produces infinite energy, but have not been able to put it in a language that lets other scientists work with the theory. Maybe they work, but it's hard to believe the explanation.
There are perpetual motion machines at least in the form of a LC circuit. There are electrical elements which can change the sign of their AC resistance under different voltages of AC.(tunnel diodes)
You put a tunnel diode in parallel to a capacitor, inductor and your load. During positive half cycles the capacitor discharges through the inductor, tunnel diode and load. But when the voltage of the capacitor becomes low the tunnel diode enters its negative differential resistance region, it gives energy back to the capacitor. And if the average AC resistance of the tunnel diode with the load is infinite then this circuit can oscillate forever without ever needing again power input.
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2$\begingroup$ This is not true. The eternal oscillation of an LC circuit requires an ideal system--more than just zero-resistance, it requires zero-area, else it will radiate energy to the environment. As for the tunnel diode, the system you describe requires an external power source; the tunnel diode itself can't inject energy into the system. Remember that a tunnel diode has negative differential resistance, not negative absolute resistance. $\endgroup$– HearthCommented Aug 30 at 21:43
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1$\begingroup$ Hmm yes? The AC resistance of the diode can become negative and during the period of negative differential resistance region it charges back the capacitor because it makes the direction of current opposite to the voltage of the capacitor... $\endgroup$ Commented Aug 30 at 22:15
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1$\begingroup$ Yes, in AC analysis where you ignore the input DC power. A relaxation oscillator converts DC to AC, but does not produce power out of nowhere. $\endgroup$– HearthCommented Aug 30 at 22:59
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1$\begingroup$ I'm not talking about a relaxation oscillator tho. $\endgroup$ Commented Aug 30 at 23:28
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2$\begingroup$ You're definitely describing one. If that's not what you mean, draw it. But what I said is true of every oscillator--they don't produce power out of nowhere. $\endgroup$– HearthCommented Aug 31 at 0:07