Zero-point Energy?
Most recent answer: 10/22/2007
- Matt (age 20)
C.S.U
Zero-point energy is a natural consequence of quantum mechanics. Take a little mass on a spring. Its potential energy is lowest when the spring is exactly unstretched. But that means that the mass is at a particular place, and the uncertainty principle would then require that its momentum have an infinite spread, giving it infinite kinetic energy. The real lowest energy state has the mass spread out over a little region, with the potential and kinetic energies each a little above their lowest possible values, but with the total as low as possible. That minimum is called the zero-point energy. Many quantum systems are mathematically analogous to a mass on a spring and have similar zero-point energies.
It's misleading to say that large fluctuations 'are occurring' in that lowest state, although scientists often use sloppy phrases like that. The system is just sitting in a state, which happens not to have definite values of position and momentum. It's not true, however, to say that its position and momentum are changing in any way. That language comes from inconsistent attempts to force quantum facts into classical descriptions.
No valid theory predicts any way to extract such energy, which would require leaving things in a state with less energy than the state with least energy, by definition of 'zero-point.'
What Prigogine's 'self-organization' ideas have to do with this is beyond me, since they weren't even concerned with quantum mechanics. (His main ideas on quantum mechanics concerned the role of density matrices in time irreversibility- and these ideas are rarely mentioned by any serious students of that issue.) The only connection that comes to mind is that Prigogine wasn't above shoveling a bit of BS on occasion.
Mike W.
Actually, this isn't the whole story here. Zero-point fluctuations in the fields of known particles, particularly the photon, have measurable effects. And even a very tiny amount of energy can be extracted from this when done properly, but you can also think of it as extracting energy from reducing the potential energy associated with the configuration of actual pieces of matter. Here's how this works:
In 1948, Hendrik Casimir found that the zero-point fluctuations in the photon field of the vacuum are affected by nearby conducting bodies, which create a boundary condition on the electromagnetic field, forcing some components to be zero on the surfaces of the conductors. Classically, this means that standing waves in cavities can have wavelengths no more than twice the length of a cavity. The quantum fluctuations are in the standing-wave modes for a piece of vacuum bounded by conducting walls, and so long-wavelength quantum fluctuations (ones with lower energy) are not allowed, while high-frequency, short-wavelength fluctuations are still present. If you make the cavity small enough, or put two conducting plates close enough together, you can shut out an ever-increasing portion of the fluctuation spectrum, starting at the low end. The low-frequency oscillations still take place outside of the cavity, and so the energy density of the zero-point fluctuations inside the cavity is less than that outside. The sides of the cavity therefore feel an inward force (typically this is done with two parallel conducting plates) and the force per unit area is
F/A = pi^2*(hbar)*c/(240d^4)
where hbar is Planck's constant divided by 2pi, c is the speed of light, and d is the distance between the two plates. The force is very very very feeble except at very short distances (microns or nanometers). There are important corrections to this for real materials -- the calculation above assumes that the conducting plates are shiny at all frequencies. Real materials start becoming transparent to very high-frequency electromagnetic radiation, and for real materials the force is less. The apparently large value of 1/d^4 for small d gets cut off by the fact that the short frequencies aren't reflected well.
The force is so feeble it has taken a large amount of effort and technology even to measure it. Here's an article in Reports on Progress in Physics describing recent measurements of the force.
This is kinda cool, but it really isn't a very good source of energy. In particular, once you've brought your conducting plates together, that's it -- no more energy can be extracted from these plates until you pull them apart again. The force acts a like an weak attractive spring between two conducting plates; it can be overshadowed by other forces, like the electrostatic force if the plates aren't at exactly the same voltage, or perhaps even gravitational forces.
So there's a potential energy associated with the Casimir force between two conducting plates at a particular separation. You can add energy to the system by pulling the plates apart or get energy out by allowing them to pull together. But you cannot get free energy this way, for the same reason that you couldn't if the plates were held together with rubber bands.
Tom
(published on 10/22/2007)
Follow-Up #1: unsound ideas
- sean (age 23)
colo. spgs. colo
Mike W.
(published on 10/22/2007)
Follow-Up #2: ZPG?
- Dylan Shroll (age 14)
Watertown, SD, USA
Mike W.
Neither do I.
LeeH
(published on 05/04/2008)
Follow-Up #3: entropy and zero-point energy
- Anonymous
Mike W.
(published on 05/20/2008)
Follow-Up #4: conspiracies
- Jonathan Ramlow (age 59)
Midland, MI
If I may speak for our zero-point-energy friends, have you ever wondered why you haven't seen those reports of disappearing cold-fusion researchers? Huh?
We could point you to the conspiracy-theory-free version of this website, but then they would find out about it.
Mike W.
I'll stay out of this discussion.
LeeH
(published on 03/15/2009)
Follow-Up #5: Casimir in cosmology
- Nick (age 33)
Adelaide, Australia
Is it associated with the Casimir effect? That effect acts as if there were a vacuum electromagnetic field energy, just as expected from quantum field energy. If one were to add up the energy from all modes at all wavelengths, the answer would be an infinite background energy density, contrary to observation. Fortunately, we believe that all our current theories break down on a tiny distance scale, the Planck scale, at which quantum gravity becomes important. So when we're adding up modes, we really should stop before including modes with shorter than Planck wavelengths. Then the electromagnetic background energy of the vacuum would only be 10125 (yes, that's one followed by 125 zeros) as big as the density inferred from the accelerating expansion.
So obviously there's something needed to complete the story and make things consistent.
There are lots of ideas. You're young. Stay tuned.
Mike W.
Grumble, grumble. In my opinion the Casimir effect has nothing to do with gravity, and never will . LeeH
(published on 04/28/2009)
Follow-Up #6: Zero-point energy: the purest Baloney
- Jesper Seest Mogensen (age 42)
Berlin, Germany
1. a pen that doesn't write
plus
2. a little broccoli.
Mike W.
Lee- should we post this website? I hate to give them any traffic.
(published on 02/01/2011)
Follow-Up #7: zero-point history
- Adam C. (age 20)
Hobart, Tasmania, Australia
Just to be complete, I should mention one possibility for how ZPE could be released. The background energy density of space may plausibly be associated with some particular string state, one of a huge number of suspected solutions to the hypothetical string equations. (We're obviously not on solid ground here.) If so, there could be a phase transition to a new, lower-energy, background state. The process would thoroughly wipe out anything that was around beforehand. It's not altogether clear that the number of spatial dimensions to emerge would be unchanged. And no, even if those speculations turn out to be correct, I'm not worried about some marketing department triggering the event with their broccoli extract or toy pens.
Mike W.
(published on 05/22/2011)
Follow-Up #8: entropy minima and maxima
- Bill Chestnut (age 67)
Calgary, Alberta Canada
An empty chamber will indeed maximize its entropy, given some constraint on its energy. For a given energy, the occupation of different photon modes will follow a Boltzmann distribution, with some temperature proportional to the fourth root of the energy density.
Mike W.
(published on 06/29/2011)
Follow-Up #9: entropy and free energy of spring
- Bill Chestnut (age 67)
Calgary AB Canada
Now let's look at the spring in its unique ground state. If it's in equilibrium with an environment, the environment is obviously at T=0. Now we're back at the start of the argument I made last time. S=0 even though the system is in equilibrium and thus the net system+environment entropy is maximized, within its extremely limited range of possibilities.
When you say the entropy of the stressed spring would be less than of the unstressed spring, you're mixing up the system with the {system+environment}. Assuming net energy is conserved, if the environment is near T=0 then net entropy will increase as the spring dumps its energy into the environment. However, the spring entropy goes down in the process.
To get perspective, let's look at the case where the ground-state spring (call it U=0) is in an environment at some T > 0. Let's assume, as you like, that T is big enough so that in equilibrium equipartition is obeyed and the average U of the spring is just kT. This spring then is not in equilibrium when it's in the ground state. Work can be extracted from it. (The amount of work is TS-U, roughly kT*ln(kT/hf)-kT in this classical regime, where hf is one energy quantum for the spring.)
You're puzzled. How can the lower energy spring be one that can do more work? Actually, that's a very general feature. Yes, you can power a heat engine with some hot water. You can also power a heat engine off some cold liquid nitrogen. All that's required is that things be out of equilibrium, e.g. a system at different temperature than the environment. Which direction the heat flows only affects details of the calculation.
Your last point is on a somewhat different topic. Sometimes it's convenient to forget about the discrete states, e.g. in order to convert a sum over states to an integral. You always run into problems if you push that approach too far, since it can never give any absolute measure of entropy. If there were only measures of volume in phase space, rather than of actual counts, there would be no reason to reject negative entropies.
Mike W.
(published on 07/05/2011)
Follow-Up #10: Free energy? No way
- Louis Shawcross (age 34)
Kuala Lumpur
LeeH
(published on 08/14/2012)
Follow-Up #11: Free-ish energy
- Doug G (age 29)
Xenia, OH, USA
Solar cells don't give us economically free energy, because they are costly to manufacture and install, and they don't last forever. Fortunately the cost is going down following the standard sort of pattern for mass-produced electrical devices. They're becoming very economically feasible, and will become more so. That's far from saying they are "free". They won't remove your electric bill but they will do far less damage to the environment in which our kids will live. Wind energy has similar benefits. With regard to the previous discussions on this thread, solar cells use standard physics, not mysterious fantasy effects.
As the fraction of our energy from solar and wind goes up, there will be problems maintaining a steady supply. Major technical progress (e.g. on storage techniques) is needed to address that.
You might want to have a look at David McKay's free online book ) giving a good analysis of this whole issue.
Probably I should stay away from commenting on the social/economic/political issues you raise, but it's too tempting.
Most scientists involved in energy issues believe that we should have a much bigger push toward greater energy efficiency in housing and transportation, using easily available technologies. Much more aggressive work on current clean energy generation technologies and new ones could also be pursued. In my opinion, all these efforts would be long-term (and sometimes short-term) very cost-efficient for society as a whole.
Why aren't we doing better in these efforts? Of course you're right that powerful economic interests are not perfectly aligned with the general interests of most citizens, and they don't hesitate to use their power to swing things their way. Such effects have been found in non-capitalist systems as well. One current problem is the funding from huge fossil-fuel corporations for widespread propaganda to the effect that global warming isn't happening, and besides it's caused by nature rather than fossil fuels, and anyway it's good for us, and besides it too late to stop it. That campaign, not exactly a hidden conspiracy, does make it hard to persuade people of the costs of staying on our current path. In addition, even without the flack from the bad guys, it's hard to persuade people to make even small sacrifices for the long-term good.
Mike W.
(published on 04/10/2013)
Follow-Up #12: various energy questions
- Doug G (age 29)
Xenia, OH, USA
Have you converted your hot water heating system to use an electrical heat pump? That's highly efficient (you get about 5 J of heat pumped in for 1 J of electrical input) and does give a way of storing some energy made while the sun shines. Perhaps in your situation (intermittent very cheap and clean electrical energy) it would be worth investing in a really big hot water tank to go with the system.
On your totally separate topic: I'm surprised that dark matter sounds like "bullocks" to you. The gravitational evidence for some other stuff clumping with the galaxies is very strong. It fits with other lines of evidence. The leading candidates to explain it are weakly interacting massive particles. When you think about it, it would be a bit odd for nature to arrange that all of its many particles happen to interact strongly with our kind of stuff. Neutrinos, for example, don't. So if there happens to be some heavier type of weakly interacting stuff, you would have cold dark matter. In a way, it would be surprising if there isn't any.
Mike W.
(published on 04/10/2013)
Follow-Up #13: Scams and more scams
- Charles Xavier (age 20)
Manila, Philippines
Save your money and don't believe in these claims and advertisements. The well established laws of thermodynamics, verified by many careful experiments, counter the claim that you can get something for nothing. "There's no such thing as a free lunch"
LeeH
(published on 04/17/2013)
Follow-Up #14: ZPE hopes
- Rod Czlonka (age 47)
IL
Hope is not scientific evidence.
Mike W.
(published on 05/16/2013)
Follow-Up #15: old guys
- Rod Czlonka (age 47)
IL
Mike W.
p.s. Lee H will also weigh in, and he's older and more cynical than me.
I'm just a tad older and a tad more skeptical than Mike. What I am not skeptical about, however, is the First Law of Thermodynamics which is "There's no such thing as a free lunch". People who believe in free untapped energy sources are self-delusional.
LeeH
(published on 05/16/2013)
Follow-Up #16: Casimir Energy in Cosmology
- Dan Kelly (age 46)
Pittsburgh, PA, USA
That's a great idea! It turns out it won't work, not because the Casimir effect is too small but rather because it's too big.
Having some sort of fixed background energy density filling space does drive an accelerating expansion, according to general relativity. That's why a common way of describing a likely source of the acceleration is to call it "dark energy." The argument is something similar to what you wrote.
If you were to just take the basic Casimir effect, and calculate the energy density associated with it, you get infinity. Whoops. This infinity comes from adding effects at smaller and smaller distance scales. It can be removed from the experimental predictions, which only involve finite effects on large distance scales. You can get rid of that infinity by noting that we don't know what becomes of the laws of physics on scales where quantum gravity becomes important, the Planck length. That gets the Casimir effect down to giving something like 10125 times the amount needed to drive the acceleration. Whoops again. People say that there may be other effects on small distance scales that reduce this background density to maybe 1055 (if I remember right) times too much energy density. So it just doesn't work.
What sort of physics will get rid of this problem? We don't know. One possibility, discussed by Lenny Susskind in The Cosmic Landscape, is that there are universes with all sorts of different background densities, suggested by string theory. Too much density leads to a universe that quickly blows apart. Negative density leads to collapse. There's only a little range where you'd get an inhabitable universe. Not coincidentally, we're in that range.
Mike W.
(published on 06/11/2013)
Follow-Up #17: Negative temperatures?
- Jesse (age 25)
True negative temperatures can't be achieved, The reason is that, as you point out, the Boltzmann factors for states would go up with energy. When you deal with a collection of states with an upper limit on their energy, say for a batch of spins, that's possible. All real-world systems also include electromagnetic modes and modes of various particle-antiparticle pairs. These extend up to arbitrarily high energy, so there's no way to make the probabilities add up to one for negative temperature. You can only get subsystems, like those spins, to have negative quasi-temperatures on time scales short compared with the time it takes them to exchange energy with electromagnetic fields.
Mike W.
(published on 09/19/2013)
Follow-Up #18: reading on zero-point energy
- Nina Loncarevic (age 20)
Podgorica
Pretty much any beginning quantum text will discuss the zero-point energy of a simple harmonic oscillator (e.g. a mass on a spring). Usually texts for second courses in quantum mechanics discuss the exact mathematical analogy between the electromagnetic (photon) states and the simple harmonic oscillator. This leads to the zero-point field energy that gives the Casimir effect.
There are no devices or designs for devices that would be powered by zero-point energy. The reasons are discussed above. There are people who ask for money based on alleged devices, just as there are people who ask for money on all sorts of grounds.
Although no zero-point-energy devices can be made, there are a variety of renewable or long-term usable energy sources, all of which could be improved with further technical developments. In particular, solar and wind power sources need some major improvements in energy storage before they can become the main power sources. Tidal power may prove useful for countries like Montenegro, with pretty much coastline per person. Likewise nuclear power needs improved designs to become safer. So there's plenty of important technical work remaining.
Mike W.
(published on 12/27/2014)
Follow-Up #19: hydrogen energy efficiency
- Yancy (age 33)
Boston, MA
According to Wikipedia, the energy efficiency of the electrolysis process is already over 50%, not the 1% you mention. (https://en.wikipedia.org/wiki/Electrolysis_of_water#Industrial_output) That efficiency holds whether the electrical energy is obtained from photovoltaics or other sources. It's an open question whether improved hydrogen storage or improved batteries will be a more practical way of carrying free energy around in vehicles, where weight, volume, and material cost are all important constraints. Given the scale of the use it's worth paying for the research both on the hydrogen storage/ fuel cell combination and on batteries.
I couldn't follow quite what you were proposing about carbon capture, etc. The point of doing something along those lines would be that carbon-based fuels are much easier to liquefy and carry around in energy-dense forms than is plain molecular hydrogen. There would, however, be a cost in chemical conversion efficiency. Again, we don't know what technology will ultimately prove most useful.
As for secret conspiracies to promote hydrogen as a distraction from batteries, we don't know of any. The conspiracy of fossil fuel companies to maintain fossil fuel use despite its destructive effects on the climate and other environmental problems is not exactly secret.
Mike W.
(published on 12/27/2016)