Category: Science

  • The Inverse-What Law?

    An arxiv find, via David Hogg (via Facebook, via the internet).

    The gravitational force law in the Solar System
    Authors: Jo Bovy (NYU), Iain Murray (Toronto), David W. Hogg (NYU, MPIA)

    Abstract: If the Solar System is long-lived and non-resonant (that is, if the planets are bound and have evolved independently through many orbital times), and if the system is observed at any non-special time, it is possible to infer the dynamical properties of the Solar System (such as the gravitational force or acceleration law) from a snapshot of the planet positions and velocities at a single moment in time. We consider purely radial acceleration laws of the form ar= –A [r/r0], where r is the distance from the Sun. Using only an instantaneous kinematic snapshot (valid at 2009 April 1.0) for the eight major planets and a Bayesian probabilistic inference technique, we infer 1.989<α<2.052 (95-percent confidence). Our results confirm those of Newton (1687) and contemporaries, who inferred α=2 (with no stated uncertainty) via the comparison of computed and observationally inferred orbit shapes (closed ellipses with the Sun at one focus; Kepler 1609). Generalizations of the methods used here will permit, among other things, inference of Milky-Way dynamics from Gaia-like observations.

    So: instead of noting that an inverse-square behavior for the force of gravity fits the data, assume that gravity obeys an inverse power law and fit for the power. (It’s two, to within the errors.) Of course there have been many higher-precision tests of gravity in the Solar System than this one; the new thing here is that the data are simply the positions and velocities of all the planets at one particular moment in time, no direct dynamical measurements. A little bit of Bayesian voodoo magic, and there you go.

    What I want to know is, what makes the authors so convinced that their instantaneous kinematic snapshot is valid tomorrow?

  • Egg in a Box

    Sure is quiet around here. I can’t blog much, as I’m in the final throes of book-writing. So instead, let’s have some user-generated content!

    Here is a figure that I’ve drawn for use in my book.

    egginabox-sm.gif

    Your mission, should you choose to accept it, is to figure out what the figure is supposed to be illustrating, and what lesson is purportedly conveyed. (Hint: that’s supposed to be an egg.) How hard can it be?

    If it’s a fruitful exercise, we can repeat for other figures, similarly inscrutable.

  • The Envelope Please…

    The results are in for the Foundational Questions Institute essay competition on “The Nature of Time,” which we discussed here. And the winners are:

    First Juried Prize:

    Julian Barbour on “The Nature of Time”

    The jury panel admired this essay for its crystal-clear and engaging presentation of a problem in classical dynamics, namely to find a measure for duration or the size of a time interval. The paper argues lucidly, and in a historically well-informed manner, that an appropriate choice for such a measure is not to be found in Newton’s pre-existing absolute notion of time, but rather emerges, in the form of ephemeris time, from the observable motions and the assumption of energy conservation. The paper also suggests how this emergence of duration might be relevant to problems in quantum gravity.

    Second Juried Prizes:

    (1) Claus Kiefer on “Does Time Exist in Quantum Gravity?”

    A fundamental problem in quantum gravity is that the “Wheeler-DeWitt Equation,” probably our most reliable equation of quantum gravity, does not refer to or even suggest anything like time or evolution. In this context time must emerge in the form of relations between a given system and some other system that may be considered a clock. Kiefer beautifully reviews this problem, and argues how, via quantum “decoherence,” time as described by the usual Schroedinger equation in quantum mechanics can emerge from this timeless substratum, via entanglement between physical systems within space, and the spatial metric that controls motion.

    (2) Sean Carroll on “What if Time Really Exists?”

    Drawing on recent developments in string theory, Carroll impressed the panel with an exciting account of how a gravitating spacetime might in fact be just a holographic approximation to a more fundamental non-gravitating theory for which “time really exists.” Contemplating the difficulties raised by strange recurrences in an everlasting universe, he argues for a strong condition on the set of allowed quantum states that would disallow such repetitions. Carroll closes by attempting to reconcile this picture with recent observations that indicate that the expansion of the universe is accelerating, with surprising results.

    Tied for second is not at all bad, considering the number of interesting entries. There are more prizes, actually, as there are “community” awards as well as “juried” prizes, so check those out as well. It’s pretty amusing that the top three essays all attack, in one way or another, whether or not the subject of the competition actually exists. (I was in favor, the others were more skeptical.)

    Besides the essays themselves, I very much appreciate the huge amount of work it must have been for the various judges to read through all of them and make hard decisions. Thanks to the FQXi for sponsoring the contest, and thanks to all the judges for doing a great job!

  • Dark Forces Revisited

    I have a new paper out with Sonny Mantry and Michael Ramsey-Musolf, following up on our earlier paper with Chris Stubbs. The original idea was to imagine a new long-range force that couples directly to dark matter, but not to ordinary visible matter. (A simple scalar force, which is universally attractive between any two objects, as opposed to all the messy complications of a dark electromagnetic force.) Due to the magic of quantum mechanics, such a force will couple indirectly to ordinary matter via virtual particles. So in the first paper we studied how you could use fifth-force searches in ordinary matter to look for such dark forces.

    In this paper we are a little more systematic, and we follow Jo Bovy and Glennys Farrar in also considering consequences for direct dark matter detection experiments, as well as dark matter searches at colliders. Here is the (somewhat lengthy) abstract:

    Implications of a Scalar Dark Force for Terrestrial Experiments
    Authors: Sean M. Carroll, Sonny Mantry, Michael J. Ramsey-Musolf

    Abstract: A long range Weak Equivalence Principle (WEP) violating force between Dark Matter (DM) particles, mediated by an ultralight scalar, is tightly constrained by galactic dynamics and large scale structure formation. We examine the implications of such a “dark force” for several terrestrial experiments, including Eotvos tests of the WEP, direct-detection DM searches, and collider studies. The presence of a dark force implies a non-vanishing effect in Eotvos tests that could be probed by current and future experiments depending on the DM model. For scalar singlet DM scenarios, a dark force of astrophysically relevant magnitude is ruled out in large regions of parameter space by the DM relic density and WEP constraints. WEP tests also imply constraints on the Higgs-exchange contributions to the spin-independent (SI) DM-nucleus direct detection cross-section. For WIMP scenarios, these considerations constrain Higgs-exchange contributions to the SI cross-section to be subleading compared to gauge-boson mediated contributions. In multicomponent DM scenarios, a dark force would preclude large shifts in the rate for Higgs decay to two photons associated with DM-multiplet loops that might otherwise lead to measurable deviations at the LHC or a future linear collider. The combination of observations from galactic dynamics, large scale structure formation, Eotvos experiments, DM-direct-detection experiments, and colliders can further constrain the size of new long range forces in the dark sector.

    The looming problem with this whole game is that a long-range scalar force is unnatural. A scalar field should, by all rights, have a large mass, and that kind of mass drastically limits the range of the corresponding force. (That’s why the weak interactions are negligible compared to electromagnetism for everyday purposes; the W and Z bosons have a large mass, while the photon is massless.) You can keep scalar fields light by imposing symmetries, but that also tends to squelch any interesting interactions. But okay, it’s also unnatural for the Higgs boson to have a mass less than the Planck scale, or for the cosmological constant to be much less than the Planck scale. Unnatural things happen in the real world, so it’s not crazy to try to understand how they would manifest themselves.

    The question is, once you’ve allowed yourself some unnaturalness, where do you stop? In this paper we’ve tried hard to minimize the number of parameters we unnaturally tuned to small values. We’ve tuned things to keep the scalar field light while not messing up the mass of the ordinary Higgs field, but tried not to tune anything else. In that case there should be mixing of the new scalar with the Higgs, and that mixing plays an important role in the phenomenology. In particular, there are implications for ground-based experiments; thus the title! It’s a long paper, but if you read one paper on the implications of a scalar dark force for terrestrial experiments this week, it should definitely be this one.

  • The Race for the Higgs

    The Large Hadron Collider should be lurching back to life this year, but the Tevatron at Fermilab might yet have a last hurrah. While the LHC is still fixing itself after last fall’s explosions, the Tevatron has been collecting data like mad, and hopes to continue for another couple of years. At the American Association for the Advancement of Science meeting in Chicago, Fermilab scientists said they have quite a good shot at collecting “evidence for” (although not quite “discovery of”) the Higgs boson before all is said and done.

    Adam Yurkewicz at US/LHC Blogs has the scoop, and you should go there for more info. But this graph tells the basic story. It’s the probability that Fermilab will be able to find “three-sigma” evidence for the Higgs, depending on what its mass is, if the Tevatron gets to run through 2011.

    chance-of-higgs-discovery-at-tevatron-large.jpg

    Due to complicated background events, finding a particle like the Higgs isn’t just a matter of smacking together protons and antiprotons at higher and higher energies. Some possible values of the Higgs mass make it easier to find than others, since the reactions that produce it aren’t as swamped by boring known events. That’s why the Tevatron has a shot, even if LHC opens with substantially larger energies later this year. The BBC story portrays the whole thing as a race, which is fine, but to the rest of the world it’s more important to just find the darn thing than which continent gets there first. (Given that the Higgs is a boson, the smart money would seem to be on Europe.)

  • The Dark Sector @ Google

    Last November I gave a talk at the Google outpost in Santa Monica, on dark matter and dark energy. I covered a lot of ground pretty quickly, introducing the Standard Model and the basics of the Big Bang as well as some ideas about the dark sector.

    This was part of the Authors @ Google series, which features a plethora of great talks. Check out Salman Rushdie, Arianna Huffington, John Hodgman, Tyler Cowen, Anthony Bourdain, Steven Pinker, Lane Montgomery, and dozens more.

    I’ve collected various YouTube videos featuring my bad self, but I honestly can’t bear to watch any of them. Can’t stand to see myself speaking (although obviously I have no issues with other people listening raptly). So if any of these are actually Rickrolls, don’t blame me.

  • Happy Darwin Day

    darwin-2.jpg Today is Darwin Day, celebrating the 200th anniversary of Charles Darwin’s birth and the 150th anniversary of On the Origin of Species. If you prefer your classics in modern Web 2.0 form, check out John Whitfield’s Blogging the Origin, or Discover‘s own special coverage.

    Darwin Day has a different tenor than Newton Day or Einstein Day would have. The theory of natural selection has an impact on our self-image as human beings in a way that classical mechanics or relativity simply do not. Every great scientist teaches us something about how the world works, but evolution also teaches us something about who we are. (Or, more accurately, is an important part of a wide-ranging set of ideas that teach us something about who we are.) Namely, that we human beings are not separate from the world. We are part of it, subject to the same laws, originating from the same processes, not singled out for some special purpose among the multitude of amazing events within our far-flung universe.

    Too bad for Darwin. It’s nearly impossible to recognize and appreciate his scientific genius without also grappling one way or another with the sad reality that so many people are reluctant to accept the truth of natural selection. We are messy biological creatures, not perfect reasoning machines, and it’s too tempting to view the workings of the world through a lens of our personal preferences. (Ironically, the reason why we are messy biological creatures rather than perfect reasoning machines is that we got to where we are through an unpredictable and historically contingent set of evolutionary steps, rather than being designed from scratch.) We want to be special, we don’t want to be an accident, and in the face of overwhelming evidence we too often simply refuse to accept any other possibility.

    But also, good for Darwin. Because we are part of the universe, every scientific discovery helps us understand who we are; how species evolve is simply a discovery where the connection is all too obvious. Darwin is a scientific hero both for the brilliance of his theory (not to mention his observations as a naturalist), but also for the symbolic role of evolution as a triumph of reality over wishful thinking. If the evidence had indicated that we were designed as part of some Great Plan, the scientifically respectable thing to do would have been to accept that and try to understand it as well as we could. Good science is often disturbing, because the things we don’t yet understand about the world are (pretty much by definition) the things that are difficult and surprising. But reality always wins out.

    So Darwin represents, in a way that even Newton and Einstein and others do not, a triumph of the true human spirit — the drive to get things right and come to terms with how the world really works, regardless of how it all makes us feel in the end. Once we buy into that spirit and appreciate the thrill of honest discovery, of course, we find that it makes us feel pretty good.

  • Big Surprises

    I got to have dinner last night with Robin Hanson, who blogs at Overcoming Bias. Robin is a creative big-picture thinker, who took a twisting career path from physics through philosophy of science and artificial intelligence research to become a tenured professor of economics. He posed a question, which he just re-posed at his blog: what is the most surprising thing we’ve learned about the universe?

    Obviously the right answer depends on a set of expectations; surprising to whom? I originally suggested quantum mechanics, and in particular the fact that the outcomes of experiments are not perfectly predictable even in principle. I think that was the most surprising thing to the people who actually discovered it, in the context of what they thought they understood. But what about the most surprising thing to our pre-scientific hunter-gather ancestors? I suggested the fact that the same set of rules govern living beings and inanimate matter, but if you have any better ideas feel free to chime in.

    But we can ask the complementary question: what is the most surprising thing about the universe that we haven’t yet discovered, but plausibly could? Something that is not already reasonably excluded by experiments that we’ve done, but also wouldn’t be readily accommodated by a theoretical model. So “string theory is right” certainly wouldn’t count, but neither would “the proton is heavier than the neutron.”

    I once discussed this with Bill Wimsatt on an episode of Odyssey (RealPlayer). I went with “reproducible violations of the Second Law of Thermodynamics.” But there are plenty of other good possibilities; what if we discovered tachyons, or that there really was an Intelligent Designer? Suggestions welcome.

  • Looking for Dark Matter in All the Wrong Places

    res.pngDavid Harris at symmetry breaking points to a paper and accompanying commentary on the search for high-energy cosmic antiprotons by the PAMELA satellite experiment. (What one defines as “high-energy” depends on one’s upbringing; we’re talking about energies of up to 100 times the mass of the proton.) The impression is given that this is a brand-new result casting doubt on the earlier claims that PAMELA might have detected evidence for dark matter; that’s not really a correct impression, so it’s worth getting it all straight.

    The PAMELA satellite, an Italian/Russian/German/Swedish collaboration, looks at high-energy cosmic rays from orbit, and pays particular attention to the presence of antimatter — basically, positrons (anti-electrons) and anti-protons. Part of the idea is that a high-energy matter particle can simply be a particle that had been lying around for a while and was accelerated to large velocities by magnetic fields or other astrophysical processes, whereas you need some pretty high energies to produce antiparticles in the first place. Say, for example, from the annihilation of dark matter particles with each other. There are certainly some high-energy collisions in the ordinary non-dark-matter world, so you expect to see a certain fraction of antimatter, but that fraction should noticeably diminish as you get to higher and higher energies.

    So in October the experiment released two papers back to back:

    A new measurement of the antiproton-to-proton flux ratio up to 100 GeV in the cosmic radiation
    Authors: O. Adriani et al.
    arXiv:0810.4994

    Observation of an anomalous positron abundance in the cosmic radiation
    Authors: O. Adriani et al.
    arXiv:0810.4995

    If you look closely, you’ll notice the second paper has 10 trackbacks to its abstract on arxiv, while the first doesn’t have any (until now!). The reason is clear: the second paper has the word “anomalous” in the title. The PAMELA measurements of positrons deviate significantly from the theoretical expectation, while the measurements of anti-protons reported in the first paper are exactly what you might have predicted. Who wants to write about observations that fit theories we already have?

    You might remember the PAMELA positron result as the one that created a stir when they gave a talk before submitting their paper, and theorists in the audience snapped pictures of the data with their cell phone cameras and proceeded to write papers about it. Those wacky theorists.

    Here is the relevant positron plot, from paper 2 above:

    PAMELA positron fraction

    The vertical axis is the fraction of positrons in the total sample of electrons+positrons, plotted against energy. The red dots are the data, and the black curve is the theoretical prediction from ordinary astrophysical processes. Not the best fit, eh? At low energies that is not a surprise, as “weather” effects such as solar activity can get in the way of observing low-energy positrons. But at high energies the prediction should be more robust, and that’s where it’s the worst. Indeed, it’s pretty clear that the fraction of positrons is increasing with energy, which is pretty baffling, but could conceivably come from dark matter annihilations. See Resonaances for more discussion.

    And here is the version for antiprotons, from paper 1 above:

    PAMELA antiproton fraction

    Now that’s what we call a fit to the data; again, fraction of antiprotons plotted versus energy, and the data go up and down just as predicted.

    What happened is that the PAMELA collaboration submitted their second paper (anomalous positrons) to Nature, and their first paper (well-behaved antiprotons) to Physical Review Letters. The latter paper has just now appeared in print, which is why Simon Swordy’s commentary in Physics appeared, etc. Although the idea behind Physics (expert-level commentary on recently published articles) is a good one, it’s sponsored by the American Physical Society, and therefore pretends that the only interesting articles are those that appear in journals published by the American Physical Society. Which Nature is most surely not.

    So one might get the impression that the antiproton result is a blow against the idea that we are seeing dark-matter annihilations. Which it is; if you didn’t know any better, you would certainly expect to see an excess of antiprotons in dark-matter annihilations just as surely as you would expect to see an excess of positrons. But it’s not a new blow; the papers appeared on arxiv (which is what really matters) at the same time!

    And it’s not a blow that can’t be recovered from. All you have to do is declare that your dark matter candidate is “hadrophobic,” and likes to annihilate into electrons and positrons rather than protons and antiprotons. Not an easy task, but that’s why theorists get paid the exorbitant salaries we do. (Without ready access to champagne and caviar, we can hardly be expected to justify unusual branching ratios in WIMP annihilations.) The favorite model out there right now belongs to Arkani-Hamed, Finkbeiner, Slatyer, and Weiner, featuring a new gauge force that is broken at relatively low energies. But there are various models on the market, and the number is only going to grow.

    Most likely the PAMELA positron excess is coming from something that can be fit quite nicely into the Standard Model of particle physics, like pulsars. That’s my guess, anyway. Happily, there’s all sorts of data coming down the pike that will help us sort it out.

  • Barack Obama vs. Genetic Determinism

    My theory is that Barack Obama, among his various superpowers, has the ability to reach out to groups of people across the world and subtly re-arrange their DNA. How else are we to explain this?

    In the study made public on Thursday, Dr. Friedman and his colleagues compiled a brief test, drawing 20 questions from the verbal sections of the Graduate Record Exam, and administering it four times to about 120 white and black test-takers during last year’s presidential campaign.

    In total, 472 Americans — 84 blacks and 388 whites — took the exam. Both white and black test-takers ranged in age from 18 to 63, and their educational attainment ranged from high school dropout to Ph.D.

    On the initial test last summer, whites on average correctly answered about 12 of 20 questions, compared with about 8.5 correct answers for blacks, Dr. Friedman said. But on the tests administered immediately after Mr. Obama’s nomination acceptance speech, and just after his election victory, black performance improved, rendering the white-black gap “statistically nonsignificant,” he said.

    The study hasn’t yet been published (or accepted), and doesn’t seem to be online; here is the press release.

    Via DougJ at Balloon Juice, who says everything that needs to be said. Including that this is no surprise at all, at least to people who recognize the phrase “stereotype threat.” Studies have shown that simply reminding women or minorities that they are women or minorities causes them to do statistically worse on tests involving subjects that they are, stereotypically, supposed to be bad at.

    One is almost tempted to conclude that scores on standardized tests might be influenced by factors other than one’s genetic background. Who could have guessed?