Astronomy Without A Telescope – Much Ado About Nothing

by Steve Nerlich on April 10, 2010

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One of the most intriguing things in cosmology is empty space – that apparent spatial emptiness that didn’t obviously exist before the Big Bang. Although classical physics would have it that energy may neither be created or destroyed, it’s certainly the case that empty space is being created in abundance as the universe expands.

This empty space is something you can move through, although moving is something you can only do over time, so we should really talk about it being space-time. There was no time before the Big Bang expansion also created space – and from there the two have always gone together as a package.

From a quantum perspective, a vacuum is a zero point field – essentially the baseline or ground state of a quantum mechanical physical system. Einstein and Stern established the idea of zero point energy, described as a residual energy that might remain in a system even at absolute zero. Bolstering this notion was the finding that vacuum energy is measurable in a laboratory, at least at nano-scales (e.g. see the Casimir effect).

The Casimir effect - two metallic plates with neutral charge are positioned nanometres from each other within a vacuum. Quantum vacuum fluctuations between the plates are constrained while those outside are not. This leads to a nett imbalance of forces which pushes the plates towards each other. This fascinating phenomenon does not help much in explaining why the universe is expanding.

However, trying to apply this notion at cosmic scales doesn’t work so well. Quantum field theory predicts a zero point energy density 120 orders of magnitude higher than what can be observed. This outcome is known as the vacuum catastrophe, terminology that harks back to the classical ultraviolet catastrophe – which predicted that blackbody radiation should approach infinite energies at short wavelengths. Max Planck’s solution to that formed the basis of quantum physics.

In cosmology, the vacuum catastrophe is reconsidered as the cosmological constant problem, since if the cosmological constant is equivalent to the universe’s vacuum energy then it should be the same as the figure predicted by quantum field theory, rather than the much smaller figure it needs to be to make Einstein field equations fit observational data.

The anthropic principle can be invoked in support of the quantum theory by proposing that vacuum energy varies locally, while at a larger scale the overall energy density still fits the theory. So, where ‘locally’ means the scale of our observable universe, we live in a local downward fluctuation which is amenable to galaxy formation and the evolution of intelligent life. So we look out from our small corner of the universe and naively assume there’s something wrong with quantum theory.

String theory apparently raises the possibility of repeated cycles of high energy/mass density Big Bangs and Big Crunches which have run down a primordial cosmological constant to the weaker level that we observe in this current universe.

On the other hand, someone working with Einstein field equations might point out that Einstein put the cosmological constant in his formulae for the purpose of avoiding a universe that expanded (or contracted), as though expansion is an innate property of space-time . You can run Einstein field equations for a hypothetical universe devoid of any mass or energy and it still expands.

So, empty space is a mystery and all this current talk about dark energy implies we know more about it than we really do. Sure dark energy is dark, but it seems a bit unlikely to be energy unless it’s an energy that is somehow constrained by some other undetectable phenomenon. We should just call dark energy Huh? (for Hold Understanding Here) while we get more data.

  • Lawrence B. Crowell

    The cosmological constant (CC) is an integration constant on D^iT_{ij} = 0 = D^i(R_{ij} – 1/2Rg_{ij}), so integrating this up gives an arbitrary /\g_{ij} in the Einstein field equation. So it is something which is set by a coboundary operator when integrated up to one dimension. We might compare this to a Hamiltonian determined by int dH = H + e, where e is some integration constant. This turns out to be the ZPE, and in much the same way the CC is the result of some condition or phase of the vacuum. The boundary issue suggests this is established in some holographic context.

    The inflaton is a Higgsian sort of idea for this phase. I think this is a phenomenology associated with a quantum critical point that renormalizes the CC in much the same way a massive quasi-particle fermionic state has its mass reduced with a phase change in the system. This phase change may be some phase change in the Verlinde concept of the “entropy force of gravity.”

    This article is decent up to the point the anthropic principle entered the picture. The anthropic principle is really more a question than any answer. So it really is not in a proper sense a theory of principle.

    LC

  • vash

    Zero Point Energy doesn’t help in explaining why the universe is expanding.

    Perhaps it indicates that we are all just shrinking.

  • Astrofiend

    Nice article.

  • http://www.cheapastro.com Steve Nerlich

    @ LC

    Pleading to the anthropic principle is often a weak scientific argument – but since this came from Steven Weinburg (albeit perhaps tongue-in-cheek) I thought it worth noting. http://nedwww.ipac.caltech.edu/level5/Weinberg/frames.html

  • Rick Ryals

    Lawrence B. Crowell Says:
    “”This article is decent up to the point the anthropic principle entered the picture. The anthropic principle is really more a question than any answer. So it really is not in a proper sense a theory of principle.”"

    You are partially correct in that… the way that it is being used is as a selection effect, rather than a physics principle, but the structure of the observed universe is most definitely observed to share the same near-balanced homeorhetic commonality as our own local ecobalances, so the most apparent indication is that there is a true bio-oriented cosmological structure principle in effect whose dynamics are not yet understood.

    You won’t find too many theorists who will willingly admit that little fact, but without the multiverse… the fine-tuning problem is unsolvable without a life-principle.

    And the whole problem would have been resolved a long time ago if Brandon Carter weren’t correct about scientists, but unfortunately, he was:

    http://knol.google.com/k/the-anthropic-principle#

    PS: vash
    The universe is expanding because matter generation from vacuum energy increases negative pressure by creating a real hole in the vacuum.

    And that’s an example of how simple, intuitive, and classical physics would be if these clueless fools on the cutting edge weren’t just as righteous about their hopeless theories as they are about the anthropic principle as a cosmological principle.

    So you can forget about any hope for a final theory, you can forget about any hope for a complete theory of quantum gravity, and you can forget about any hope that the LHC will find “new physics” and “higher dimensions”… for the simple reasons that I’ve given and no others.

    Mark my words.

  • Lawrence B. Crowell

    The ZPE of the vacuum emerges when one quantizes a harmonic oscillator expansion of a quantum field. The quantization results in evenly spaced energy levels, which are physically equivalent to an occupation number, or the number of photons, or other bosons. This works for fermions as well, electrons being one example of fermions, but the Pauli exclusion principle gives occupation levels 9 and 1 and no more. Quantization results in a left over bit with an energy for the zero occupation number, or the vacuum. The Casimir effect illustrates a measurable physics from this, for in between the two conducting plates the virtual quantum modes in the vacuum must have half integral wavelengths determined by the plate separation. It is similar to the notes one gets with a string on a guitar or violin. Outside of the plates there is no such restriction. Hence there is more quantum vacuum outside the plates than between them and this results in an over all pressure due to this energy.

    The cosmological constant is determined by the energy plus the pressure term associated with vacuum. This is applied to the entire spacetime of the universe in a Friedmann-Lemaitre-Robertson-Walker (FLRW) or de Sitter spacetime. So the plates in the above Casimir setting are set off to the boundary conditions, or “no boundary condition a’la Hawking and Hartle, and the pressure exerted on the plates is outwards — negative, while the gravitational effect of the vacuum is positive or inwards. There is an interesting element to this, for the pressure times the speed of light, pc, must equal the negative of the energy e. This can be argued on a number of grounds. One is that a black hole in a space plus time setting can be seen as dragging spatial points into it, similar to a river flow. Along with these points a black hole drags in vacuum energy and its pressure. If the pc < e then a black hole would grow in a pure vacuum by just pulling in ZPE! This is not possible. So for every unit of energy e it pulls in it also pulls in a unit of pc = -e which cancels out any vacuum energy growth of a black hole. This results in the so called equation of state w = -1, which from WMAP data is pretty close to the observed value.

    @Rick Ryals: Fine tuning can be addressed at least hypothetically on a number of levels. I don’t think this precludes some effective theory for the quantization of gravity. I agree there may be no final theory, for what ever effective theory we arrive at may be generalized by some more fundamental structure. This may in some way asymptote to the Planck scale in an onion skin fashion. The point of quantum supergravity and cosmology is not to arrive at a final theory, but to arrive at some theoretic system which permits us to understand the universe within the limits of our observational abilities.

    LC

  • Lawrence B. Crowell

    err or point of clarification: I wrote ” If pc < e then … . I should have written |pc| < e.

    LC

  • Torbjorn Larsson OM

    Ah yes, what is dark energy apart from the fact that it exists in standard cosmology?

    The simplest and observationally most likely (since it isn’t yet resolvable as required for a test) comes up as the cosmological constant. Interesting topic for an article detailing what we know.

    But on the matter what we know, some nitpicks.

    We don’t know that there was a big bang in the sense of an isolated singularity (and the simplest versions of inflation theory predicts there wasn’t) so it is a bit premature to claim that it created time just from there on. In fact, before emergent (space-)time there had to be some QM time that physics existed in anyway or you wouldn’t have a singularity in the first place.

    Similarly we don’t know that there could be Big Crunches. AFAIU there are now some results that prevent cyclic universes. (If asked, I’m sure I can find it again.)

    “The anthropic principle”. If this had been written a few years back, I would have pointed out that people use (and confuse) several anthropic principles. The weak AP is what most scientists have used however so, being aware of the potential confusion, a “standard” AP is indeed overdue.

    We should just call dark energy Huh?

    Oooh, nice observation! Of course the very likelihood that it is simply something that shows up as a cc energy doesn’t mean that we know that it is vacuum energy in some form. In fact, one can go one further and note that this is already a modern choice – Einstein preferred to choose it as a curvature term.

    However, identifying it as vacuum energy is the simplest choice. It also predicts the non-observation of vacuum energy as strong as naive quantum field theory predicts. Which certainly is an effective theory, but having the new prediction is strengthening both QFT and standard cosmology.

  • Torbjorn Larsson OM

    LBC, thanks for the BH physics walk through. I hadn’t really thought of the ramifications of GR in black holes. (But when again, no GR. :-( )

    So black holes are natural, in the sense that they correspond to w = -1, in standard cosmology but not elsewhere?! Nice!

  • Torbjorn Larsson OM

    On the anthropic principle, since there seem to be some confusion here.

    @ LBC:

    it really is not in a proper sense a theory of principle.

    I’m not exactly sure what you are claiming here.

    As for theory the AP is predictive, it was because of that very fact that Weinberg used it to peg the cc. And that is all we need for it being a testable theory. Boussou et al have used it to predict and test it successfully on 6 cosmological parameters.

    In that it has done better than the classic idea of a unique, forced, parameter choice of a presumed basic Theory Of Everything. That hasn’t yet yielded any predictions. In fact, the string TOE is akin to effective quantum field theories in that it naturally admits a parameter range. So one could argue that the classic idea failed in testing.

    Further, the problem of how to classify a specific theory, whether as process, law, symmetry principle (“structure principle”), or selection effect (contingency), shouldn’t bother us.

    For example, biology abounds with selection effects. They underlie the phylogenetic tree, and is in fact a basic mechanism that drives the evolution process. And in general, states to classify systems with are classical properties of processes so not universal, and theory is (a) process. If you don’t find a classification (state) doesn’t mean that the process doesn’t exist.

    @ Rick Ryals:

    I looked at your reference (which is your own text). ” Creationists”, “anticentrist dogma”, “Goldilocks Enigma”, “anti-political statement”, “Instability”?

    With such a filter mounted, I suspect that you reject comments to the contrary as “political”.

    However and FWIW, the very nature of the weak AP is that it results in non-privileged contingencies in exactly the same way as biological selection does. Life and especially humans aren’t privileged, it is a result of process.

    As opposed to the plethora of APs that can be used, there is only one religious anthropic argument however. It is based on the usual theological assumption of confusing a priori possibilities with a posteriori likelihoods.

    For example, it is a priori improbable that any process could explain such complicated phenomena as magnetism or life. However, it is a posteriori likely that EM and evolution theory does exactly that (because they passes tests).

    So while religious finetuning and enigmas are entertaining they aren’t physics as such. The habitability zones of stars are neither unique properties nor results of unobserved “homeostatic balances” nor unobserved instabilities.

    Sean Carroll raises a point, but it is mistaken. He claims that the robustness of Weinberg’s pegging of the cc is a weakness. But it is more precisely a strength. Likewise he claims that using AP leads to predictions that fails. But see the above Boussou paper.

    Speaking of mistaken physics, I believe the “axis-of-evil” that you let Krauss pontificate on is history. The standard cosmology and the observations underlying it such as the discussed CMB is fine.

  • Torbjorn Larsson OM

    “they passes tests” – they pass tests. [So I need a coffee break. :-~]

  • Torbjorn Larsson OM

    Well, I should say that I need coffee! :

    I am an origins researcher [from Richard Ryals' Knol presentation]

    So yeah, “personal theories” and, it looks like, religion based such. That was a shorter answer.

  • Rick Ryals

    Torbjorn Larsson, I don’t have the first clue what you’re babbling about… lol.. but there is no WAP without a multiverse, and my article isn’t about opinions, personal or otherwise… it’s about direct observations and facts.

  • Andrew

    You all are a hoot!

    :)

    Seriously, serious debates on this stuff just shows us that there are good things yet to be displayed in hunamity.

  • Lawrence B. Crowell

    The idea that w = -1 is fixed by black hole physics occurred to me rather recently when I was looking at the Schwarzschild waterfall in

    http://jila.colorado.edu/~ajsh/insidebh/waterfall.html

    I have not seen this argument in any paper as yet.

    The AP is something which emerged in an M-theory argument by Polchinski and Bousso. The weak AP can be used to impose certain conditions. Yet I think waiting in the wings is something more physical, say an extremal complexity principle. I think this might be some physical statement that as symmetry is reduced at lower energy that there is the occurrence of structure in a manner which satisfies some sort of maximal complexity. This is I think a matter of counting degrees of freedom, which in part Bousso and Harnik seem to be doing with entropy in the third section.

    All of this might only make sense in a so called multiverse setting. The idea that degrees of freedom in our universe are tied to those in other spacetime cosmology only makes sense I think in a holographic setting. Otherwise there is a question of whether the multiverse violates the quantum Xerox or no-cloning result.

    LC

  • Prime

    As is well known, in any closed dynamic system the order existing in it will gradually be dissipated, as more and more interactions occur. This leads to the notion of entropy as the increasing disorder in such systems. The assumptions are
    (1) a closed system, and
    (2) a positive flow of time for the components of the system.

    Actually no such thing as a completely closed system exists in nature. Every mass system is open to virtual particle flux exchange with the vacuum, for example, particularly in the nucleus of its atoms, where the bulk of its mass is located.
    However, the closed system assumption is reasonably approximated by a great many systems which are in stable thermodynamic equilibrium, or nearly so.

    On the other hand, in an open system far from thermodynamic equilibrium, the second law of thermodynamics does not necessarily apply, because the system violates both the closed system assumption and its equilibrium approximation.

    Time Reversal

    Since being discovered in 1972 in the open Soviet literature, the time-reversed (phase conjugate) EM wave has also been known. The phase conjugate EM wave is truly time-reversed, as has been shown experimentally.

    Since the time-reversed EM wave violates the second major assumption, the second law of thermodynamics need not necessarily hold for time-reversed entities.

    Putting all this together, if one wishes negentropy and hence increased energy in a system, the candidate suggested would appear to be a system that was strongly
    (1) open loop,
    (2) time-reversed, and
    (3) far from thermodynamic equilibrium.

    Prime

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