Conservation of Energy -- does it ever not apply?

In summary: E of dark matter?In summary, on cosmological scales, energy conservation does not apply. This is due to the fact that energy cannot be properly defined on this scale, as explained by physicist Sean Carroll and other senior members on this forum. While total energy may be conserved, the type of energy present in a given situation may not be. This can create difficulties when attempting to calculate or measure energy on a larger scale. Additionally, the concept of redshift and the loss of energy in light has been a topic of debate, with some arguing that light does in fact lose energy as it travels through the expanding universe.
  • #1
halpmaine
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Are there situations when conservation of Energy does NOT apply? Thanks.
 
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  • #2
When the system is not closed so that energy can be added or subtracted.
 
  • #3
paisiello2 said:
When the system is not closed so that energy can be added or subtracted.
Are there closed systems to which conservation of E does not apply?
 
  • #4
No one has discovered such a closed system.
 
  • #5
Is the Universe considered a closed system?
 
  • #6
Nobody knows. In some string theories, gravity can leak right out of our universe so no, in other theories the universe is entirely self contained.
 
  • #7
halpmaine said:
Is the Universe considered a closed system?
I don't know about that but conservation of energy does not apply on cosmological scales.
 
  • #8
halpmaine said:
Is the Universe considered a closed system?
phinds said:
I don't know about that but conservation of energy does not apply on cosmological scales.

To expand on that, light loses energy more and more (turns red, redshift) as it travels further and further through space. Well, I believe it has something to do with the relative distance and speed of stars, but either way, the energy is lost. Someone please correct me if I'm wrong.
 
  • #9
Yeah, I think you are wrong on that. The red shift comes from the relative speed of the observed light source. Light does not lose energy as it travels.
 
  • #10
paisiello2 said:
Yeah, I think you are wrong on that. The red shift comes from the relative speed of the observed light source. Light does not lose energy as it travels.

Ah, my mistake. In that case, what exactly did phind's mean when he said energy conservation doesn't apply on cosmological scales?
 
  • #11
I'm not sure but he may have been alluding to dark energy causing the acceleration of the expansion of space. However, my layman's understanding is that this is not a violation of the conservation law.
 
  • #12
Light DOES lose energy as it moves through the expanding universe. Red shifting represents a loss of energy. But that's not the point here. What IS the point is that lack of energy conservation is because you can't even define energy properly on cosmological scales. This has to do with Noether's theorem and a proper explanation is beyond me.

Just to be sure I'm clear, light does not lose energy in local systems where energy is conserved, such as a solar system.
 
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  • #13
halpmaine said:
Are there situations when conservation of Energy does NOT apply? Thanks.

Total energy is conserved.

You can have different types of energy: potential energy, linear kinetic energy, rotational kinetic energy, internal kinetic energy (heat), etc. While total energy is conserved, it can be converted from one type of energy to another - even in a closed system.

In other words, the bookkeeping for energy can be a nightmare.

Yes, total energy is conserved in every situation, but the type of energy you're interested in for a given situation often isn't - which can create some unpleasant practical problems in the real world.
 
  • #14
BobG said:
Yes, total energy is conserved in every situation,
And you believe that to be true on cosmological scales?
 
  • #15
phinds said:
And you believe that to be true on cosmological scales?
Are you asking if he believes that closed systems on the cosmological scale conserve energy, or are you asking if he believes that the universe itself is closed? I don't think there is any experiment that you could do that would prove that the universe is a closed system, or that it isn't. You can believe that closed systems conserve energy in all situations, but the universe itself is not closed.
 
  • #16
newjerseyrunner said:
Are you asking if he believes that closed systems on the cosmological scale conserve energy, or are you asking if he believes that the universe itself is closed? I don't think there is any experiment that you could do that would prove that the universe is a closed system, or that it isn't. You can believe that closed systems conserve energy in all situations, but the universe itself is not closed.
I should have been more targeted. I'm asking if anyone believes that energy is conserved across cosmological scales. It is my understanding, as stated in post #12, that you can't even DEFINE energy across cosmological scales.
 
  • #17
Oh, in post #12, you said that the explanation is beyond you. I took that to mean that you were simply ignorant of the physics, maybe it's not your area of expertise. You're saying the physics governing energy at this scale isn't even defined?
 
  • #18
newjerseyrunner said:
Oh, in post #12, you said that the explanation is beyond you. I took that to mean that you were simply ignorant of the physics, maybe it's not your area of expertise. You're saying the physics governing energy at this scale isn't even defined?
Yes, that is exactly my understanding, as posted by some senior members on this forum, and specifically as explained by Sean Carroll here:

http://www.preposterousuniverse.com/blog/2010/02/22/energy-is-not-conserved/

His statements about it being defined seem ambiguous but his belief that it is not conserved is not. The statements about it not being defined were expressed more strongly on this forum. Sadly, I don't remember by whom.

EDIT: OK, here's one:

https://www.physicsforums.com/threads/energy-of-the-universe.653673/page-2#post-4168003
 
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  • #19
Phinds, given what has been discussed here and on other threads to which have been alluded there seems to be a sentiment of E being 'cancelled out' when we move to the cosmos scale. Is this purely a mathematical 'result' or is it being suggested that E is not merely transferring form and quantity...or becoming net-zero (I.E. in the context of -/+ offsetting E)...but it is actually dissapearing...ceasing to exist in ANY form/frame of reference, dimension, universe?? Being "destroyed"??
That would seem...unlikely on many levels. Density of M or E diminishes as V increases. But to suggest E disappears...perhaps hasn't merely moved to another (hypothetical) uni/multiverse does not seem logical.

But again, I still cannot wrap my head around the notion that the 'balloon' won't contract v. burst!

Also, your discussion of red-shift and loss of E on a cosmos scale ...do you mean that an amount of light, if you will, which has mass, does ultimately lose or better TRANSFER energy to it's surroundings (E.g. thermo transfer) over huge distances? That sounds right. On a smaller scale, when we say there's a blue shift or red shift we are NOT then suggesting that E in that defined system has increased or decreased (respectively)..Rather, it's a discussion of measured E via wave lengths, observer's perspective/ref frame, etc.. Does that make sense?
Am I thinking about all this appropriately?

Thanks for your, others' continued insight!

-Halp
 
  • #20
But the energy of photons as they are stretched (red shifted) by the expansion of space DOES just decrease. Hard to get your head around at first but think about this ... where does it go if it goes somewhere? It does not radiate away, it just decreases. The photons start with some amount of energy and when they get to us they have less energy and nothing along their path gained any energy. This is not just math, it's reality.
 
  • #21
phinds said:
But the energy of photons as they are stretched (red shifted) by the expansion of space DOES just decrease. Hard to get your head around at first but think about this ... where does it go if it goes somewhere? It does not radiate away, it just decreases. The photons start with some amount of energy and when they get to us they have less energy and nothing along their path gained any energy. This is not just math, it's reality.
Yah, definitely hard to conceptualize that!
 
  • #22
phinds said:
But the energy of photons as they are stretched (red shifted) by the expansion of space DOES just decrease. Hard to get your head around at first but think about this ... where does it go if it goes somewhere? It does not radiate away, it just decreases. The photons start with some amount of energy and when they get to us they have less energy and nothing along their path gained any energy. This is not just math, it's reality.
But don't we also have no way to know that nothing along the path gained energy? Isn't it possible if not likely that it simply gets converted into something we're unfamiliar with?
 
  • #23
I concur, NJrunner...why wouldn't this system play by the rules which are well established? Energy being destroyed feels wrong... and ominous on many levels; here's to hoping it's just a matter of needing a new way to measure!
 
  • #24
phinds said:
Light DOES lose energy as it moves through the expanding universe. Red shifting represents a loss of energy. But that's not the point here. What IS the point is that lack of energy conservation is because you can't even define energy properly on cosmological scales. This has to do with Noether's theorem and a proper explanation is beyond me.

Just to be sure I'm clear, light does not lose energy in local systems where energy is conserved, such as a solar system.
Not an expert on the field, but from what I have read your opinion is a popular one but not everyoen agrees and the issue seems still open.
 
  • #25
phinds said:
But the energy of photons as they are stretched (red shifted) by the expansion of space DOES just decrease. Hard to get your head around at first but think about this ... where does it go if it goes somewhere? It does not radiate away, it just decreases. The photons start with some amount of energy and when they get to us they have less energy and nothing along their path gained any energy. This is not just math, it's reality.

Google found this comment on the subject..

http://www.thenakedscientists.com/forum/index.php?topic=44843.0

The principle of conservation of energy applies only within a given inertial reference frame, though that part of the principle is usually omitted in literature. A photon has different amounts of energy in different reference frames. The redshift is associated with a change of inertial reference frames. When the origin of the reference frame is accelerating, it is not an inertial reference frame. The photon's energy in the original inertial reference frame is constant, but in an accelerating reference frame, it is changing.

Cosmologists prefer "comoving coordinates", which confuse the issue of whether the reference frame is inertial or accelerating. The expansion of space causes distant galaxies to accelerate away from one another, but in comoving coordinates, both galaxies are stationary, even though the distance between them is growing at an accelerating rate.

Not sure I'm qualified to comment on it though.
 
  • #26
CWatters said:
Not sure I'm qualified to comment on it though.
Yeah, I've also about shot my wad on this subject.
 

FAQ: Conservation of Energy -- does it ever not apply?

What is the law of conservation of energy?

The law of conservation of energy states that energy cannot be created or destroyed, only transformed from one form to another.

Does the law of conservation of energy apply to all forms of energy?

Yes, the law of conservation of energy applies to all forms of energy, including mechanical, thermal, chemical, and nuclear energy.

Are there any exceptions to the law of conservation of energy?

No, the law of conservation of energy has been proven to be true in all observed cases. It is considered a fundamental principle in physics.

Does the law of conservation of energy apply to all isolated systems?

Yes, the law of conservation of energy applies to all isolated systems, meaning systems that do not exchange energy with their surroundings.

Under what circumstances might the law of conservation of energy not apply?

The law of conservation of energy may not apply in situations involving extreme conditions, such as black holes or the very beginning of the universe. However, these scenarios are still under study and the law of conservation of energy is still considered a fundamental principle in these cases.

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