Dark Matter and Dark Energy

 

            The New York Times has an article on dark matter and dark energy that I think might be slightly overhyping the degree to which these ideas cause a problem for the foundations of physics.  The author suggests that these will require a fundamental overthrow of how physics is typically thought of, which, while possible (after all, relativity explained a very small perturbation in Mercury’s orbit), is likely not to be as dramatic as the author suggests.  I thought I’d write a response, explaining some of the various hypothesis to explain these things, and how dramatic of a shift they would require in our conceptual foundation of physics.

 

Dark matter-
While trying to explain the stability of galaxies, astronomers have concluded that there is more mass in the universe than can be explained by the stuff we see at night.  So, they introduced “dark matter” as something to make up the substantial difference between the mass we measure and the mass we observe.  Initially, dark matter was thought to be burnt out stars that no longer give off light (dead black dwarfs, for example), except then people realized that, according to our calculations, the rate stars form and die and their density, etc, there wasn't quite enough stars for that to explain all the mass we observe.  However, people aren't absolutely certain what percentage of dark matter is comprised of these things, because we just don't have all the initial conditions known that well. (These are called MACHOs- massive compact halo object- they're made out of baryons.)  However, as said, most people feel like there is not enough of these to account for all the observed mass we see.  Hence, people have started asking about whether there's other stuff out there that's not baryonic.  While leptons tend to have relatively small mass (electrons, taus, muons, than their neutrinos), the most uncreative proposal is that there is, for each family, a type of massive neutrino, and these provide the missing mass.  Ignoring this, we think we have a good idea of the simplest combination of things in the standard model- and complex combinations of quarks and antiquarks decay quickly, so it's UNLIKELY that there's some extremely stable complex configuration of quarks that was formed in such a HUGE quantity compared the lower energy, stabler configurations we can make.  Hence, most people would introduce a new elementary particle,which wouldn't participate in the electromagnetic interaction, but would in gravitational.  A lot of people have used non-standard model particles that are theorized as solutions to particle physics issues (for example, the axion is supposed to solve the strong-CP problem in quantum chromodynamics).  WIMPs- weakly interacting massive particles (named before the MACHOs, in case you were wondering) are predicted by supersymmetry, which is an extension to the standard model (which predicts lots of particles that haven't been observed yet).  So, while dark matter, other than MACHOs, is still unknown, it's also not really as "overthrow physics" as the author makes it, because the standard model has a lot of room to accommodate new particles.  In fact, there are a lot of particles that we don't see much (if at all) on earth...hmmm...reminds me of helium once upon a time.

Dark energy-
This is the more exciting part.  So we think that the universe’s expansion is increasing...so what's pushing it?  That's the question we don't have real answer for.  Dark energy- energy does work, and pushing planets and stars and dark matter requires doing work- has been proposed as a shorthand for what it is.  However, we have at least one candidate- Einstein's infamous cosmological constant, which he introduced to make the size of the universe constant- to stop it from expanding.  In the end, he decided it was the worst mistake of his life, but if we switch the sign, it describes an increasing acceleration for the universe.  However, this would be a constant energy that homogenously fills space, which we're not sure that dark energy is.  The model with this constant in is the Lambda-CDM model.  In this case, it's LIKE (oversimplification coming) if we found out that
Newton's gravity law was F=-Gm1m2/r2+C, instead of just F=-Gm1m2/r2- there's just some extra energy term in there.  Since (we think) it's through all space, which is a lot of space, it makes up 70% of all energy.  However, it's not actually all that dense, and some people have suggested that it might actually be explained by quantum fluctuations- actually, they'd be about the scale as the needed cosmological constant.  However, quantum field theory gives a cosmological constant that is way too large, which is unfortunate since quantum field theory is on relatively certain ground (it's essentially quantum mechanics, although including more about multiple particle interactions).  There's another problem with this as far as the early universe, but there's all sorts of weird stuff in the early universe (like that whole split-split-split second accelerating faster than c thing), so that isn’t as much of a problem.    If the energy is not constant through space, people have resurrected the term quintessence to describe a varying energy field.  I don’t understand it well, to be honest, but it's kind of like this: baronic particles interacting with dark energy can create particles (dark matter, most likely)- like a photon hitting an electron and making some new particles via the weak interaction.  For it not to clump up, it has to be "very light", meaning it has large wavelength (using wave-particle duality).  In general, we'd probably "see" it through variations of the "fundamental constants" in space/time- like G
changing slowly, or from one place to another.  This is taken really seriously by the physicists, so I suspect there's probably a really strong mathematical formulation of it somewhere, because it certainly doesn't have much of a concrete interpretation. However, other things can predict similar phenomena.  While supersymmetry demands that the cosmological constant be zero, other ideas have come from string theory, brane theory (the universe is a brane vibrating in a bigger brane, and those bigger branes attract stuff in our universe, hence the outward expansion), and something called a holographic principles from quantum gravity.  Also, the more conservative physicists think that this shows that some of our assumptions that things are negligible fail, but about the only of these hypotheses still standing is that "this has something to do with the electroweak symmetry breaking that happened early in the universe".  This relates to the Higgs mechanism and Higgs boson, which they are looking for at LHC.  (The Higgs boson is also what gives things mass.)

The interesting thing is that this COULD require a change in our idea of gravitation- such as the cosmological constant, which, since gravity is physics favorite subject since Newton, would be a big deal.  It also remains very different than the other 3 forces, having a different interpretation/mathematical structure (general relativity).  So, while there is a possibility of a dramatic change in the understanding of physics, it is also very possible that this will be far less exciting than the author implies.

 

 

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