"I have long held an opinion... that the various forms under which the forces of matter are made manifest have one common origin; or, in other words, are so directly related and mutually dependent, that they are convertible, as it were, one into another, and possess equivalents of power in their action." -Michael Faraday
For example, the ball rolling down this hill, picking up speed and gaining kinetic energy isn't getting that energy from nothing! It's actually turning a different form of energy -- gravitational potential energy -- into that kinetic energy. And, at any point along its journey, the total amount of energy -- its kinetic + potential energies -- is the same.
As long as you consider a closed system, or a system that cannot gain/lose energy from/to someplace outside itself, the law of conservation of energy is perfect.
The Earth, for example, is not a closed system on its own. It receives light and energy from all across the Universe, most notably from the Sun, and also radiates energy off into space. The Sun, too, is not closed, as it constantly radiates energy away into space, but its energy isn't coming from nowhere; it's being created by converting some of its rest mass energy into light and heat (and neutrinos) via nuclear fusion and E = mc2. When all the input sources and output sources of energy are included, for any system in the Universe, the conservation law holds.
While there are some spooky quantum effects that may seem to violate our intuitions concerning this law, from the smallest subatomic scales to the largest cosmic ones, once all the sources and sinks of energy are accounted for, it still appears to hold.
How, then, do we answer the following question, posed by another astrophysicist:
What is the source of the energy for the accelerating universe?
You can imagine the Early Universe -- at least the portion of it observable to us -- as a hot, dense, rapidly expanding sphere of matter and energy. But you also know that if your Universe is full of matter and energy, the force of gravity is going to do everything it can to try and pull this expanding Universe back together again. So -- in the simplest terms you can imagine -- that's what you've got: an initially, rapidly expanding Universe, where gravity tries to slow, reverse, and recollapse it.
Looking at the image above, the leftmost diagram represents an expanding Universe where gravity eventually wins: the initial expansion is not enough for the amount of matter-and-energy present, and the Universe eventually reverses its expansion, recollapsing in a Big Crunch. The second image is one with a large initial expansion, but the amount of matter and energy is just one subatomic particle short of being able to recollapse the Universe! In this critical case, the Universe's expansion rate continues to slow, asymptoting towards zero, but never reverses. And the third case -- a low density Universe -- continues to expand forever, as the gravitational attraction between all the Universe's matter and radiation finds itself unable to counteract the initial expansion.
And then there's the fourth case -- the actual case -- of an accelerating Universe. This is a Universe filled with dark energy, or a finite, positive amount of vacuum energy intrinsic to space itself. And in this case, the expansion of the Universe doesn't just "fail to slow down enough" to give us recollapse, but rather distant galaxies moving away from us move away from us faster and faster as time goes on! This means that, if we take a finite sphere of matter and energy to start with, and let it expand over time, the radius of that sphere will increase like so:
Unlike the recollapsing (orange) case, our Universe will never recollapse. Unlike even the critical (green) or low-density (blue) curves, the "size" of our Universe is increasing at an exponential rate as shown by the red curve. What our best measurements tell us is that the energy density of space itself (i.e., the dark energy density) is neither increasing nor decreasing, but remaining the same.
But this might bother you: if the energy density is staying the same, but space is expanding, doesn't that violate the conservation of energy? In other words, aren't we making more and more energy in our Universe over time, and didn't we learn that energy needs to be conserved?
Technically, we can weasel our way out of this by noting that the big picture I gave you, above, isn't entirely how it works. Our large-scale Universe is ruled by General Relativity as our theory of gravity. And strictly speaking, energy is not defined in General Relativity, so why worry about conserving it? But there is a very smart way of looking at "energy" that allows us to show, in fact, that energy is conserved even in this seemingly paradoxical situation.
I want you to remember that, in addition to chemical, electrical, thermal, kinetic, and potential energies, among others, there's also work.
Work, in physics, is when you apply a force to an object in the same direction as the distance it moves. What this means is that if you apply a force upwards to this upwards moving weight, you do positive work. (I.e., you add energy to the system.) But if you apply a force upwards to a downwards moving object, you do negative work. (I.e., you remove energy from the system.)
This is perhaps clearer if you think about putting your hand underneath a book, and raising and then lowering it.
When you push in the same direction the book is moving, you do positive work, adding energy to the system, and when you push in the opposite direction, you do negative work.
So now, let's think of the Universe. You've got this sphere-like object expanding, and there you are, this constant energy density (i.e., dark energy) filling the sphere. You're positive energy. You're gravitationally pulling this sphere in on itself. But what's the sphere doing?
It's expanding. In other words, you're pulling in the opposite direction as the expansion, and so you're doing negative work! (Update: So why, then, does the expansion speed up? Sure, dark energy's positive energy density means that it's gravitationally attractive to any matter in the Universe, but the magnitude of its negative pressure is what determines the overall rate of expansion!) And so if you're asking where the energy for this "dark energy" comes from, it comes from the negative work done on the expansion of the Universe!
A little more technically, as Carroll, Press, and Turner stated in 1992,
...the patch does negative work on its surroundings, because it has negative pressure. Assuming the patch expands adiabatically, one may equate this negative work to the increase of mass/energy of the patch. One thereby recovers the correct equation of state for dark energy: P = - ρ c2. So the mathematics is consistent.
Or a little less technically,
"Suck it, monkeys!" -Liz Lemon
And that's why energy can be conserved, even in a Universe with dark energy!
So, dark energy gravitationally pulls this sphere in on itself, but also beacause of GR it accelerates its expansion?
I'm afraid you've lost me there at the last part. At first I'm dark energy but then it seems like you're saying I'm gravity. I'm not quite sure what to make of it.
Dark Jaguar @2,
Dark energy has energy density, just like matter does, but it also has a negative pressure, which is what's responsible for the accelerated expansion bit of it. GR is pretty profound for allowing this, but the point is that you can deal with it in such a way to contrive a "conserved quantity" with the expansion.
And if you do that, the thing that gets conserved looks an awful lot like energy.
This one is over my head. I don't like the sphere analogy because the universe is not a sphere.
So what if the DE has negative pressure. That would counteract the expansion for a time, but there is more and more DE. I just don't understand where it comes from. I love free lunches but this one is 7 courses.
My take on dark matter is, that it is a miscalculating, stemming from our presumption that the speed of light is constant.
What if the speed of light varies through time and space?
That creates some interesting theory, at least I think so.
Antimatter is the mind and consciousness of all living entities.
You are your own universe.
Reality is where the minds (antimatter) meets the physical universe.
Interested? Then read my philosophical multiverse theory.
Google crestroyer theory and find it instantly
What, then, is causing the universe to expand? I get that a positive pressure would cause a volume to expand, doing positive work, while a negative pressure (like the "hydrostatic tension" in a drop of water in a capillary tube) would cause a volume to contract, again doing positive work.
But if dark energy is causing the universe to increase in volume, how is it that it is applying a negative pressure? If something else is causing the universe to expand, what is that something?
I'm really struggling to wrap my brain around this, but I think I'm missing something fundamental here.
Why does dark energy make negative pressure that expands the universe when it's also pulling it in? How does that end up with an expanding universe instead of a deadlocked one? Why doesn't any other thing that "pulls in" also push out like that?
What if you think of DE as "lack of gravity", so, as if gravity in larger distances d does not act with G_0, but with, let's say G_0*e^(-a*d) and a _very_ small a?
Ethan, your essays are generally so thorough, but this one sounds as if you received an important phone call just as you were getting warmed up and had to "wrap it" in a couple of sentences.
"...energy is conserved even in this seemingly paradoxical situation."
and Sean says:
"energy is not conserved in general relativity..."
Then am I to infer that energy is conserved in Newtonian gravitational theory? Where does the energy come from that supplies the force that attracts the planets? Does it come from the gravitational potential energy?
What, you mean everyone doesn't intuitively understand how pressure works on cosmic scales?
Thanks for bringing up an excellent point, and I will look forward to taking that topic on next week. Hopefully, this will make a lot more sense in that context.
I've really tried to understand this, as I've always wondered about the ever increasing dark energy in a energy conserved universe, but I lost it in the last couple of paragraphs. I think I'll read it a few more times to see if it clicks.
I had forgotten about that work balance. In a similar discussion the other week I brought up the adiabatic case. Yay me! =D
I will certainly refer to this next time the subject comes up. And it will, the social energy to discuss and question cosmology is constant.
@ Otto Krog:
The problem is that it is much simpler to assume what we observe (constant vacuum light speed) and have the standard cosmology outcome.
If there were no DE and everything else in standard cosmology applied you would have the coasting universe by now (see the figures), or so I understand.
If negative pressure seems like a hard thing to rap your mind around, consider the ultimate in space opera space propulsion, the reactionless Dirac Drive: take two chunks of mass, one negative, one positive. By Newton's law of gravitation, they will experience a mutual repulsive force. But while the positive matter chunk will move away from the negative matter chunk by Newton's first law, the same law says that the negative matter will be repelled towards the positive matter! Presto! A reactionless space drive, and one which has no upper bound on it's velocity parameter.
Doesn't this violate the conservation of energy? Similar to the case accelerating cosmic expansion (which is why I brought it up), the answer is no, for here E=1/2mv^2 contributed by the positive mass is balanced by E=1/2(-m)v^2, the kinetic energy of the negative mass. As in the case with negative energy (unsurprisingly), the result sums to zero and there's nothing to worry about.
I'll make a plug for Gamow's "Thirty Years that Shook Physicists" by saying this is where I first heard this one. A very entertainingly told history of QM and well worth picking up if you haven't read it already.
Duh! I meant "the social energy to discuss and question cosmology is conserved", obviously.
If I push against a brick wall I have expended work even thought he wall did not move.
Maybe matter is losing mass and speeds up, or maybe the speed of light speeds up. Anyway why is all this happening so far away in all directions,--- are we the center of the universe? Methinks I smell a rat.
An apparent wind is real to the sail boater, but is different to those on a different tack and doesn't exist at all for the landlubber.
If the land lubber is on the "far side" of the universe do we rush away exponentially from him?
Is a vanishing point in art real only to the person and where they are standing?
Finally where and what is the source of energy which creates new galaxies all the time and does the exponationallity thingy? What is feeding the singularity being blamed for it and us, and how does it get into all of the multiple imagined universes?
How about trying "The universe is a disturbed field of pure energy seeking equilibrium" as a reality? A forthcoming book on this is entitled The Dynamic Ether.
Yeah I know --- ether --- ha ha ha etc, but just look at the mental gymnastics required by such as the foregoing and still be unable to explain gravity. That is except by bending space around time, or by using gravity to explain gravity; such as the dimple caused by the "weight" of a large body on a rubber sheet somehow stretched and fastened at its ends to god knows what. All this mind you without explaining how this could be in effect on all possible incoming planes of an approaching body or light itself! A dynamic ether does a better job.
Would someone, anyone, please, please, define/explain this negative pressure thing to me?
Just putting a minus sign in front of it does not do it for me. In Physics, pressure is defined as force per unit area/volume. So, in what sense can there be negative pressure? Can the force be negative? If not, then the area or volume must be negative. Neither of which makes any intuitive sense to me. And, please, don't just tell me that the equations say that pressure can be negative. I know that. I just can't imagine it. Also, please don't compare it tension (i.e. pulling rather than pushing). They are not inverses of each other. So, please help this feeble minded enthusiast out if you can.
you may not believe this, (i don't care)
i looked at electricity as the elusive dark matter, and then things start making sense.
no dark, black, hidden energy, or massive equations. if they leave out electricity (plasma, electromagnetism) as obvious visible active forces, then the math gets convoluted and imaginary. (singularity anyone?)
try it. electricity rules
There are a few people who are puzzled by negative pressure. I'm not one of those. Negative pressure, or hydrostatic tension, is well known in ordinary physics, it's just a bit unusual to see in everyday life, because when we pull on things they usually deform in one of the two directions we're not pulling (Poisson's ratio), just as when we push, they bulge.
Pressure is easy to notice, because it's easier to constrain things so they've got nowhere to bulge. But you can hear negative pressure every time you crack your knuckles: your synovial fluid gets trapped in spaces where it's being pulled in three dimensions, until it snaps. So negative pressure's not a problem.
What I don't get is is an expansion-causing phenomenon that exerts a contracting force.
Pressure is N/mÂ², which is the same as Nm/mÂ³, energy-density.
The energy-density is calculated from all masses in our universe based on the usual gravitational law.
We observe a difference, a "lack" of energy-density.
Instead of thinking about gravity-law not reaching infinitely far, we conclude that a negative energy-density must exist: DE. It shall diminish the usual gravitational effect.
Since this _diminishing_ energy-density also is pressure, we say negative pressure...
"As long as you consider a closed system ..."
There are physical laws starting with the precondition of having a closed system. Is the universe a closed system? Is this an assumption made just because we don't know better? You know, Occam's razor and all this. Or can someone give some reasons?
I couldn't grok this either, even after reading other sources and trying to think about it half a dozen different ways. I think it's because this is only half the story. This seems like a pretty good post on the topic, although it glosses over many of the details: http://blogs.discovermagazine.com/cosmicvariance/2010/02/22/energy-is-n…
Personally, I'd love those details, to the extent they can be explained to someone without a PhD. From Ethan's post, I can't see where energy is conserved; it still looks like dark energy, gravitational potential energy, and even kinetic energy all go up and no energy level goes down. That dark energy (really its gravity) is doing negative work and so can extract energy from the system doesn't do it for me - does that "system" contain infinite untapped energy? (Maybe so, but if such exists, it would seem to make conservation of energy moot anyhow.)
Oh, you linked that blog post yourself. DERP! Still, your alternate explanation raises these questions in my mind. I almost got there with, "If I go up a flight of stairs, then I wouldn't say that the Earth gained energy by doing negative work, but I could say that the Earth-me gravitational system gained energy that way, and the measured mass-energy of the system would have increased accordingly," except then I realized that the source of that energy was the chemical energy in my body, and any couldn't think of a case where energy within the system could continue to do this ad infinitum.
Thanks for your Hydrostatic tension example. However, I understand that as a pressure difference and I can imagine molecules pulling on each other. In your synovial fluid example, I again see a pressure difference/reduction being caused by the cracking of knuckles. But, a pressure difference is NOT the same as negative pressure. So, sorry, but I still don't get it. Add to that the concept of negative pressure out in the vacuum of "empty" space. Just what is doing the "pulling"? The example, often given, of a piston being pulled out of an already evacuated cylinder also doesn't do it for me. Again, what is it that is pulling on the piston? Maybe I'm being too pedantic or maybe I'm just too dense or maybe it is just the terminology. Whatever, the case, I still don't get it.
I'm sorry, but I can't follow your logic. I'm not saying that it is wrong. I see what you are trying to say but, for me, there are too many intermediary steps missing from your argument for me to follow. For example, how do you get from a "lack" energy density to "we conclude that a negative energy-density must exist: DE."
Ethan deserves full credit for pointing out that the second law is conserved in any "closed system". What is missing in this entire discussion is the question "What is the universe expanding into?" If the universe is finite, and I believe it is, as do many other cosmology thinkers, then it has, out there, somewhere, a boundary, an edge. I also agree that the common depiction, of an expanding sphere, is misleading. The Universe is not on the surface of a balloon, it's what is inside the balloon! And the energy that is fueling the expansion is coming from the field it is expanding into, just as much of our energy is supplied from outside our little planet's boundary. The tangle of using classical Newtonian mechanics is nice but the only thing it really proves is that (+1) + (-1) = 0, not that (+1)+(-1) = (some positive force, pushing us out away from each other).
Ethan, sit down some quiet evening and ask why you feel that "energy" should be conserved even in systems without such time-symmetry that demands conservation of such a mathematical quantity (or even have "energy" well defined). Energy is not holy cow urine:
E is useful if it makes calculations easier. At the point where we have to make headstands in order to rescue it into a realm where it is not applicable, it stopped having the use that made it classically important.
...you really ask for the transition from "observed lack of energy-density" to "negative energy-density named DE"?
Sorry, now I'm lost... I can't find intermediate steps because "negative" is just a mathematical way explaining something, which is "missing"...
Or do I misunderstand, what you are hunting for?
I think I understand DE exerting positive energy, and gravitation essentially performing the role as negative energy to balance the equation but I don't understand how the universe continues to expand in a conserved system.
I think my lack of understanding is how Dark Energy applies a negative pressure if the sphere is expanding
like Chris (26) I also see this problem:
...I don't understand how the universe continues to expand in a conserved system.
Could you explain a bit the origin of the energy needed to continually expand, if there would be no DE?
Thanks al lot in advance,
@25 Charles Scurlock
"The Universe is not on the surface of a balloon, it's what is inside the balloon!"
From my understanding of the balloon analogy you have taken it too literally and completely missed the point of it with this statement. From the perspective of the two dimensional universe depicted on the surface of the balloon, there is no such thing as an "inside".
Thanks, You understand me perfectly. And there in lies my dilemma. You see, to me, "missing" means/equals zero while you say that "missing" means/equals negative! So, I'm still lost. What is doing the inverse of pressing?
The Friedmann coordinates used in cosmology are noninertial and nonhomogeneous. The spacial coordinates are not geodesics. Observations mapped on to this system manifest fictitious acceleration, and thereby fictitious gravity and sources of gravity. If supernovae and accumulating intergalactic dust are not understood as evolving, in order to cover for a mere 10% variation in brightness, then a simple kinetic calculation shows a 10% cumulative slowing. This is contrary to the ballyhooed acceleration; which actually seems to be relative to an expectation of slowing that is even faster than what is measured.
Wouldn't it be a laugh if all of our attempts to explain an expanding universe where akin to the Ptolemy system of epicycles to explain the movement of planets - ie a basic assumption is wrong
that would really shake things up
what sort of assumption?
well, how could i know - because i have the assumptions too
but let's make one up
imagine that the speed of light is only constant relative to the gravity density at the point (or line) it is measured - ie imagine that in interstellar space it goes faster than it does in areas of higher gravity - and in intergalactic space it goes even faster
and, if there was no gravity at all it would be infinitely fast
so now we might posit that the red shift is the effect of light slowing down as it approaches areas of higher gravity
and many other funny things in astrophysics might be explained
suddenly we'd need no dark matter
and no big bang
that's what i mean when i suggest that somewhere in all of our physics there might lie an assumption that we are blind to
just as Ptolemy was blind to heliocentricity
The article seems to be referring in a strange way to Boyle's law.
In Boyle's law when the total temperature of the universe is kept the same (would be like conservation of energy) then pressure[Gravity] and volume[Dark Energy] are inversely proportional. While the universe doubles its volume the pressure halves.
Mass [gravity] and energy are like E=mc^2 . Thus one can read this as P = - Ï c^2 for Dark Energy.
The problem that this analogy fails here imo is that the relative speed of the gas molecules in the contracted state are higher than in the expanded state. The gas molecules, if expanded to infinity would have almost no speed left.
Pressure would drop to almost zero.
This would mean there is hardly any energy left to move an object. Inertia would rule the universe. Energy production would be very difficult also. Coldness everywhere. Nobody would need a fridge!
Since we see that in reality it is still much easier to start a fire by lighting a match than making ice in a fridge, we need real Dark Energy and no conservation of energy if we want to believe in this model of expansion.
OK, now I got it (I hope...):
Imagine the gravitational law as it is usually used and look at its non-zero-effect at very large distance.
Sum up all these little non-zero-effects you expect, due to this usual law.
Now you observe the actual behaviour and try to explain: you calculate from the observations that the "expected" non-zero-effects-sum is too big - you need to _subtract_ some effect, or, to add a _negative_ effect.
With this _negative_ effect added to the system your calculation is OK and explains your observations.
And now project this to DE...
Sorry, man. What you are describing is, it seems to me, a mathematical correction/manipulation. Be that as it may. What I am looking for is a conceptual understanding/meaning of negative pressure.
What is it that can not on not be pressing but un-pressing?
You think about an "un-pressing" or "sucking" DE as a physical something, which "creates" this effect independently from other things, quasi standalone or coming from external - correct?
To my opinion this is not a good way to approach the phenomenon. If you go this way, you automatically will ask for the energy source of this "sucking". But there is no such external energy source independent from other things in the universe! We have to explain the observed effects related to DE with all things we already have.
So I would suggest to unbind from the literally interpreted "pressure" and "un-pressure" and concentrate to processes, which produce the same observational results within the universe system, but without adding doubtful external concepts. An one possibility is to replace "pressure" by "energy density"...
I agree that using the term "negative pressure" might not be the best description. I understand negative pressure when talked about it in day-to-day life. But when looked in that context, there is always another pressure to compare it to. i.e I can say that my room has negative pressure if it's lower than atmospheric pressure outside. In the case of universe, this way of thinking about it is just wrong. After all, we don't call magnetism negative electricity.
Also, comparing DE as opposite of gravity, in my humble view, is also wrong. We don't mesure the unit of rocket thrust as negative gravity. I understand that physicists mostly think through formulas and math. Math is the language of nature. However, great care should be taken in "translating" that language into our own talk. Lee Smolin said that math is only approximation of reality and as such should be carefully used because formula is one thing, reality is something else.
I guess my point is that physicists should take care in choosing words to describe the math. If a "metaphor" or "symbol" is used, than it should be noted.
Even here at Ethan's great blog we all love and read daily, I see some "bad" comparisons. The one which prevails is comparing Universe to the sphere. And then physicists wonder how ordinary people can't comprehend that the universe has no center. Well... if you tell people to imagine it as a sphere, then don't be surprised about other things that go with it.
I have no clue about what DE might be or even if there is DE. The pitfall is in the fact that all we measure and see is basically the past and not the present. We deduce that it must be accelerating today because of what we observe 3 billion years ago. If those distant supernovae stopped in their tracts this instant, we wouldn't be aware of it for another 3 billion years. So any talk about the current state of the universe in my view only makes real sence if we talk about or solar system or our galaxy. Everything beyond that is speculation at best.
@Sinisa Lazarek (38):
I agree, except the last part:
So any talk about the current state of the universe in my view only makes real sence if we talk about or solar system or our galaxy. Everything beyond that is speculation at best.
To my opinion this is two-parted:
yes, current state makes no sense, we cannot look into future.
no, not everything is necessarily speculation. If you have a model describing the timeline based on lots of observed objects in distances (=pasts) like a chain, then you actually may interpolate without a big error.
Thus gravitational effects observed far away from the past are about the same as those nearby, now. If we now observe a difference in behaviour of far away objects to those nearby, we have good reason to conclude that either the model is not complete, or there is something completely unknown.
To my opinion related to DE the model of gravitational behaviour is not complete. We need some kind of Quantum Gravity to explain gravity itself - then finally we can upgrade our model...
Priset utdelas fÃ¶r upptÃ¤ckten utav att universums expansionshastighet Ã¶kar och har nu bekrÃ¤ftas med ett nobelpris i fysik 2011. Genom att studera vita dvÃ¤rgsolar med en massa som vÃ¥r egen sol och storlek som vÃ¥r jord samt med en tvillingsol i ett omlopp kring varandra, sÃ¥ har man upptÃ¤ckt att en vita dvÃ¤rgsolen tar materia ifrÃ¥n tvillingsolen vilket inte Ã¤r sÃ¥ konstigt dÃ¥ gravitationen pÃ¥ ytan av dvÃ¤rgsolen Ã¤r enorm och tvillingsolen har betydligt mindre grepp pÃ¥ sitt egna gasmoln. JÃ¤mfÃ¶r jorden med mÃ¥nen som inte har kvar sin atmosfÃ¤r. NÃ¤r den vita dvÃ¤rg solen har tagit Ã¥t sig en massa och nÃ¥r 1.4 solmassor sÃ¥ exploderar dvÃ¤rgsolen och blir till en supernova typ Ia. Detta Ã¤r nÃ¥got som hÃ¤nder vÃ¤ldigt sÃ¤llan i en galax, en eller tvÃ¥ gÃ¥nger pÃ¥ tusen Ã¥r.
Men med hjÃ¤lp att avsÃ¶ka avlÃ¤gsna supernovor med hjÃ¤lp av en CCD laddningskopplad ljuskÃ¤nslig halvledare detektor. DÃ¥ man har nÃ¥tt en ljuskÃ¤nslighet som fÃ¥ngar ca 70 procents av det infallande ljuset, som i jÃ¤mfÃ¶relse med fotografisk film som endast fÃ¥ngar 2 procent av det infallande ljuset sÃ¥ har det varit mÃ¶jligt att redovisa nya resultat.
Genom att kyla ned CCD sÃ¥ sÃ¤nker man det termiska bruset i halvledarematerialet. Man kan ocksÃ¥ genom att Ã¶ppna och stÃ¤nga slutaren mappar man bort bruset ifrÃ¥n den verkliga bilden. Genom att anvÃ¤nda en bildfÃ¶rstÃ¤rkare kan man utÃ¶ka kÃ¤nsligheten sÃ¥ att en enda foton kan registreras.
Genom att scanna stora omrÃ¥den pÃ¥ himlavalvet med hjÃ¤lp av CCD teknik upptÃ¤ckte de tvÃ¥ teamen ungefÃ¤r 50 olika supernovor av typ Ia samt att ljusemotionen var lika i alla de olika fallen sÃ¥ kunde man rÃ¤kna ut distansen till supernovorna och bestÃ¤mma den accelererande expansionen. Detta hade till fÃ¶ljd att den fÃ¶rvÃ¤ntade avstannandet av expansionen pÃ¥ grund av gravitation inte stÃ¤mde utan att resultatet av accelererande expansionen endast kan fÃ¶rklaras med en 75 % mÃ¶rk energi och en 20 % mÃ¶rk materia som finns nÃ¤rvarande nÃ¥gonstans i universum.
En mÃ¶jlig fÃ¶rklaring kan vara att om man tÃ¤nder ett ljus och det Ã¤r det enda som finns i universum i det Ã¶gonblicket, sÃ¥ kommer ljuset eller riktigare, den elektromagnetiska vÃ¥gen som bestÃ¥r av fotoner som partiklar eller vÃ¥g rÃ¶relse, att expandera Ã¥t alla hÃ¥ll som i en âballongâ som man blÃ¥ser upp med ljusets hastighet frÃ¥n kÃ¤llan i centrum av ballongen. FÃ¶r en iakttagare som befinner sig i rÃ¶relse nÃ¥gonstans mellan centrum och ballongens med ljushastighetens expanderande kant, sÃ¥ Ã¤r allt som existerar Ã¥t andra hÃ¥llet, ej nÃ¥gonsin Ã¤r mÃ¶jligt att upptÃ¤cka, pÃ¥ grund av att ljuset inte hinner ikapp sig sjÃ¤lv. NÃ¤r vÃ¥g och foton-ballongen utvidgar sig skapas hÃ¶jd, bredd, lÃ¤ngd och tid i ett icke innan rumsbaserat tomrum, man kan dÃ¤refter mÃ¤ta tid och rymd. Detta alternativet stÃ¥r inte i samklang med etablerad fysik, fÃ¶r det finns inte nÃ¥gon fysisk mekanism som tillÃ¥ter att den elektromagnetiska vÃ¥gen skapar rumtid pÃ¥ det sÃ¤ttet. Men Ã¤ndÃ¥ sÃ¥ pÃ¥stÃ¥r jag att det Ã¤r pÃ¥ det viset. PÃ¥ den plats iakttagaren befinner sig, skapas sÃ¥ledes ett universum som Ã¤r en del av den totala â ballongenâ.
Man kan grovt likna vÃ¥rat universum som en klyfta i en apelsin med 5 % massa.
Lite mindre grovt blir det om man undersÃ¶ker den bÃ¤sta kartan hittills av den kosmiska bakgrundsstrÃ¥lningen, CMB det sÃ¥ kallade ekot av Big Bang. Med hjÃ¤lp av kartan sÃ¥ visar universum att det inte kan vara samma strÃ¥lning i alla riktningar. Man hade fÃ¶rvÃ¤ntat sig att bakgrundsstrÃ¥lningen skulle vara isotrop, utan nÃ¥gon sÃ¤rskild riktning i rymden, men sÃ¥ var det inte.
Om man tittar pÃ¥ symmetri i CMB strÃ¥lningen sÃ¥ kallas den fÃ¶r octopole ellerr quadrupol och det var ett mÃ¤rklig mÃ¶nster.Man hade inte fÃ¶rvÃ¤ntat sig nÃ¥got mÃ¶nster Ã¶ver huvud taget. Men det man sÃ¥g var allt annat Ã¤n slumpmÃ¤ssigt det sÃ¥g ut som en fotboll. Den var octopole och quadrupol komponenter som var placerade i en rak linje Ã¶ver himlen, lÃ¤ngs ett slags kosmisk ekvator. Det Ã¤r ovanligt.
Totalt sÃ¥ finns den stora eftersÃ¶kta massan i de Ã¶vriga klyftorna eller fotbollarna.
20 fotbollar formar ett multiuniversum klot dÃ¤r den saknade mÃ¶rka energin och massan finns. SÃ¥ kan dessa 19 fotbollar eller 19 klyftor ses som parallella vÃ¤rdar till vÃ¥ran vÃ¤rld i âballongenâ. Vi kan observera effekterna av den mÃ¶rka energin Ã¶verallt i universum genom att studera hur stjÃ¤rnorna rÃ¶r sig i ytterkanten av en galax eller hur galaxerna rÃ¶r sig i en galax hop. I bÃ¥da fallen mÃ¤rker vi att stjÃ¤rnorna och galaxerna rÃ¶r sig fÃ¶r fort, det vill sÃ¤ga vi ser att de rÃ¶r sig snabbare Ã¤n om de bara pÃ¥verkas av gravitationen frÃ¥n den synliga materien. Det mÃ¥ste alltsÃ¥ finnas mÃ¶rk materia som bidrar till det gravitationsfÃ¤lt som pÃ¥verkar stjÃ¤rnorna och galaxerna och det finns i samtliga âklyftor eller fotbollarâ.
Nu kommer det riktigt paradoxala i den hÃ¤r upptÃ¤ckten. Gravitationens pÃ¥verkan pÃ¥ expansionen fÃ¶rÃ¤ndras inte sÃ¥ mycket med tiden, utan det Ã¤r gravitationens i stort sett konstanta pÃ¥verkan som leder till att universums expansion accelererar. Hur gÃ¥r detta till? Jo, enligt Einsteins allmÃ¤nna relativitetsteori Ã¤r det energidensiteten, rho, och trycket, p som tillsammans utgÃ¶r kÃ¤llan till gravitationen genom sambandet rho + 3p. I de flesta sammanhang som vi Ã¤r vana vid Ã¤r trycket fÃ¶rsumbart litet jÃ¤mfÃ¶rt med energidensiteten, men fÃ¶r mÃ¶rk energi Ã¤r p = - rho i det enklaste fallet, sÃ¥ trycket Ã¤r inte bara negativt (dÃ¤remot kan energidensiteten aldrig vara negativ) utan sÃ¥ negativt att rho + 3p blir negativt, och dÃ¥ blir gravitationen repellerande och vi fÃ¥r en accelererande expansion. Dessutom Ã¤r det sÃ¥ att i det enklaste fallet, som jag visar ovan, sÃ¥ fylls det pÃ¥ med ny mÃ¶rk energi i det nya rummet som bildas allt eftersom universum expanderar, sÃ¥ den blir aldrig ens fÃ¶rtunnad!
Saknar Ariel Goobar och Carl Pennypacke vid nobelprisutnÃ¤mningen i fysik 2011
Universum skapas nÃ¤r den elektromagnetiska vÃ¥gen expanderar med ljushastigheten. DÃ¥ kan man lÃ¤gga i den bubblan en tumstock och mÃ¤ta hÃ¶jd lÃ¤ngd och bredd samt tid.VÃ¥gen skapar rummet och tiden i ett icke rum eller i ett ingenting. Stick hÃ¥l pÃ¥ bubblan och dra ut universum ur punkten. Man vrÃ¤nger universum ut och in sÃ¥ att bakgrundsstrÃ¥lningen blir en mittpunkt i stÃ¤llet fÃ¶r vÃ¥ran vintergata. FÃ¶r Ã¥t vilket hÃ¥ll vi nu Ã¤n tittar sÃ¥ Ã¤r det start punkten som vi ser i ett krÃ¶kt universum. DÃ¥ Ã¤r vi 13 milj. ljusÃ¥r ifrÃ¥n startpunkten. Den strÃ¥lningen som har gÃ¥tt Ã¥t andra hÃ¥ll skapar sina egna universum skilda frÃ¥n oss dÃ¤rfÃ¶r att dess ljus aldrig nÃ¥r oss nÃ¥gonsin. Men massa finns ju i dessa universum och pÃ¥verkar vÃ¥rat universum. Kan man kalla den massan fÃ¶r den saknade svarta massan? Universum Ã¤r det vi ser och iakttager, men sÃ¥ mycket mera finns utanfÃ¶r denna iakttagna horisont.
the most and best possible to explain what it is! i hope all will be happy with this explanation
all the best
i believe very strongly that we are microcosm of everything think about how all gasses will expand forever until they have spread so far you can no longer see any trace of the gas due to diffusion but the gas still remains in very small quantities.all im trying to say is that just like a puff of smoke will always expand so will our universe
How does the negative pressure become greater than the gravitational attraction?
What is the dark energy pulling on if it is spread out? Should the expansion cause the pull to get weaker?
The first question is nonsensical. The second one can be answered.
Yes, but it doesn't seem to be getting weaker. There's no rule it must, except by default you may expect it. But the energy may be coming from the drop in gravitational potential energy as the universe loses its edges over the edge of where information can come from.
Some questions are nonsense, some just not (yet?) answered, in the latter we may have observations and a tentative theory, but no genuine answer.
Here's how I understand the effect of negative pressure:
In GR, Einstein showed that gravitational force depends not simply on mass, but also heat and on pressures exerted (pretty obvious why this is true).
Outward directed pressure (positive pressure) contributes positively to the gravitational force, whereas negative pressure (inwardly directed pressure) contributes negatively.
Dark energy is one source of negative pressure.
Given that gravitational force btw bodies is directly proportional to the product of their masses, and inversely proportional to the square of the distance between them, at a certain point the negative pressure contributed by dark energy is enough to overcome the positive gravitational force of matter. ( This is then coupled with the exponential decrease of the universal attractive gravitational force due to the linear expansion of the universe (i.e given expansion, the square of the distance between the 'centre' and the circumferece (or outermost perimeter, if you prefer), that which is the denominator of the eqaution, is increasing exponentially. Hence attractive gravity and it's ability to overcome the negative gravity of dark energy.
Once attractive gravity is equal to repulsive gravity (negative pressure of dark energy), a qualitative tranformation in the expansion of the universe happens and the expansion accelerates.
At least, that how I understand it.
Please correct me if I'm wrong.
When mass warps space between objects locally it effectively reduces the distance between them. That's what gravity does. It draws masses toward one another. Now let's assume that the "distance" between all the objects in the universe has to remain constant. Space has to expand to maintain the constant distance. Gravity continues to act so space continues to expand.
"Here’s how I understand the effect of negative pressure:"
Negative pressure is almost exactly like negative temperature.
Because of the definition of where it is used, it makes sense.
But only because it is meant to be used in that context.
I remain unconvinced. Our observations are taken in too narrow a context and our hypothesis are too contrived. A 2011 paper in the journal Physical Review D by Christos Tsagas, a cosmologist at Aristotle University of Thessaloniki in Greece, argued that it is likely that the accelerated expansion of the universe is an illusion caused by the relative motion of us to the rest of the universe. The paper cites data showing that the 2.5 billion ly wide region of space we are inside of is moving very quickly relative to everything around it. If the theory is confirmed, then dark energy would not exist.
"I remain unconvinced"
Not a problem. Science isn't a popularity contest.
If you wish to think something else, however, you need to do better than the current science in every way.
That paper isn't going to do it.
Wouldn't it be better to call DE "repulsive gravity" instead of "negative pressure"?
not really. Because it doesn't behave as repulsive gravity. DE is constant per unit volume of space. Wheres gravity (curvature) will increase or decrease in response to energy/matter content.
Has anyone notices that this makes absolutely no sense? This is Alice-Through-The-Looking-Glass logic. The first fallacy is that General Relativity rules the Universe. General Relativity has proved abysmal at predicting anything outside our own solar system. It failed to predict a flat universe, failed to predict an isotopic and homogenous universe and when it failed to predict an accelerating universe we just flipped the sign on the lambda like that was a perfectly logical thing to do with a theory. Second: where did the energy for this initial explosion come from? It's like you're ignoring the huge elephant in the room and trying to account for the elephant poop on the floor. Third: you're completely talking in circles: you've got some magic stuff and the stuff maintains a constant density because you need a constant density to account for the stuff.
I'm officially calling bullsh*t on this one. In order to move to galaxies apart you need to increase the potential energy between them. Using the space between these galaxies to create the energy is the very definition of a violation of the Law of Thermodynamics.
Really? "abysmal predicting anything outside our own solar system"?
Nope. The inaccuracies are parts-in-quadrillions to the force factors that are gravity and GR.
We don't have a flat universe, as far as we know, but for aesthetic reasons we're looking to see it being flat.
And adding the cosmological constant was logical. And it causes expansion. Originally, again for aesthetic reasons, it was proposed to be a value that would keep the universe from collapsing. That it was not doing that is not a problem with the logic of a cosmological constant.
And no, dark matter is not maintaining a constant density. Dark masses are causing lensing events.
The only reason you can feel confident in calling bullshit on this is because you haven't a clue what's going on. The only bullshit is visible in your perception, not the reality.
Oh, by the way, every time you drop an object in the earth's gravitional field, you "create energy using the space between the object and the earth".
Think on it.
Consider blowing up a rubber balloon, so there is a positive change in volume, dV. The balloon is under positive pressure P from the atmosphere (so the atmosphere is pushing against the ballon, tending to make it smaller). The higher the pressure, the more work W must be done, so the energy to blow up the balloon is proportional to P times dV, so
W = k P dV
where k is a constant of proportionality.
This is an energy deficit that must be supplied from somewhere else, by conservation of energy. The energy comes from your lungs, or a cannister if you are using one, which is why the cannister gets cold when you use it (the energy being taken from the heat energy of the compressed gas in the cannister).
In the case of space, dark energy has a constant, positive energy density (energy per cubic metre). So, whenever the volume of the universe increases for any reason, the energy of the universe also increases. Unlike the balloon example this is an energy surplus, not a deficit. So, in order to satisfy the above equation, the pressure dark energy exerts must be negative, tending to push things apart, which is why it causes an acceleration in the expansion of the universe, according to this simple model based on gasses.
That's all ok, but this does NOT explain where the dark energy comes from. The notions of dark energy and conservation of energy are incompatible. What is being said by your sources is that dark energy does the work of accelerating the expansion of the universe, not that this is where dark energy comes from.
...I should have written that dark energy is not compatible with *classical* conservation of energy.
There is a general relativistic formula for total energy of the universe given in the second answer at http://physics.stackexchange.com/questions/2597/energy-conservation-in-… . Acording to that equation, the increase in total energy due to dark energy is balanced by an increase in the gravitational potential energy, which counts negatively towards the total energy.
So that's alright then.
"That’s all ok, but this does NOT explain where the dark energy comes from"
OK, but that doesn't mean the answer to the question is "No".
When we didn't know where genetic information comes from (DNA), it didn't mean Evolution made no sense.