Tuesday, September 27, 2011

The Fermata Joke

A high school neighborhood friend recently gave me what has to be the most esoteric joke I’ve ever seen, this cartoon created by her friend Thomas Stumpf:






But my knowledge of music is legendary for its nonexistence so I had to ask Linda, an accomplished pianist and piano teacher to explain the in-joke:

“'fermata' in Italian, means 'stop'; stop signs in Italy look just like ours, but say 'fermata'! In music, it means to just wait on the note, for as long as seems to be the best length, in context of the music. The fermata sign is the top half a circle with a dot inside. The fermata is over a rest,(which is silence), which would mean to be silent for more time than the time value of the rest, which is 2 beats.”

So, there are no notes on the score which means there is no sound and the fermata above means that one should keep doing what is written below for as long as necessary, which is nothing or: “shut up.”

Monday, September 26, 2011

Columnar Basalt

Just about anybody who lives in California, and many others who don’t, know about Devil’s Post Pile Park located on the west side of Mammoth Mountain ski area. It is a spectacular west-facing wall of basalt columns several feet wide rising 60 feet straight up. When I visited there in 1999 one scary fact impressed on the casual trekker by a Park Service sign was that the whole thing was earlier on considered a nuisance and a prime source of building material for a dam on the adjacent river for gold mining purposes or some such. The whole display of the post piles is large, but well within the purview of the visitor, so obviously this site could have been easily destroyed. As much as I wanted a rock sample I realized it would be totally inappropriate to take a piece of this magnificent structure! Not to mention that the very smallest samples would have weighed in at a significant fraction of a ton!

Much to my surprise and delight then, while shopping for flagstone pavers at the local rock and brick construction supply yard, I spotted a box labeled: “Small columns,” and inside were fragmented pieces of columnar basalt, supposedly from Washington State. I was able to find a nice piece for my collection, a few inches long, see photo. Notice it has four well developed faces that could be extrapolated out to give six faces total, although since columnar basalt is not a single crystal, the number of faces are not determined by crystal structure considerations and it could possibly have only 5 faces. Plus one end has been broken off showing the basic mineral structure and the other end has been roughly sawed showing a cross section view.

Friday, September 23, 2011

Faster than light expert opinion

The experts are starting to publish opinions on the neutrino-speed of light issue. Here is Sean Carroll, Caltech professor of theoretical physics:

“Faster-Than-Light Neutrinos?
by Sean
Probably not. But maybe! Or in other words: science as usual.
For the three of you reading this who haven’t yet heard about it, the OPERA experiment in Italy recently announced a genuinely surprising result. They create a beam of muon neutrinos at CERN in Geneva, point them under the Alps (through which they zip largely unimpeded, because that’s what neutrinos do), and then detect a few of them in the Gran Sasso underground laboratory 732 kilometers away. The whole thing is timed by stopwatch (or the modern high-tech version thereof, using GPS-synchronized clocks), and you solve for the velocity by dividing distance by time. And the answer they get is: just a teensy bit faster than the speed of light, by about a factor of 10-5. Here’s the technical paper, which already lists 20 links to blogs and news reports.
The things you need to know about this result are:
It’s enormously interesting if it’s right.
It’s probably not right.
By the latter point I don’t mean to impugn the abilities or honesty of the experimenters, who are by all accounts top-notch people trying to do something very difficult. It’s just a very difficult experiment, and given that the result is so completely contrary to our expectations, it’s much easier at this point to believe there is a hidden glitch than to take it at face value. All that would instantly change, of course, if it were independently verified by another experiment; at that point the gleeful jumping up and down will justifiably commence.
This isn’t one of those annoying “three-sigma” results that sits at the tantalizing boundary of statistical significance. The OPERA folks are claiming a six-sigma deviation from the speed of light. But that doesn’t mean it’s overwhelmingly likely that the result is real; it just means it’s overwhelmingly unlikely that the result is simply a statistical fluctuation. There is another looming source of possible error: a “systematic effect,” i.e. some unknown miscalibration somewhere in the experiment or analysis pipeline. (If you are measuring something incorrectly, it doesn’t matter that you measure it very carefully.) In particular, the mismatch between the expected and observed timing amounts to tens of nanoseconds; but any individual “event” takes the form of a pulse that is spread out over thousands of nanoseconds. Extracting the signal is a matter of using statistics over many such events — a tricky business.
The experimenters and their colleagues at other experiments know this perfectly well, of course. As Adrian Cho reports in Science, OPERA’s spokesperson Antonio Ereditato is quick to deny that they have overturned Einstein. “I would never say that… We are forced to say something. We could not sweep it under the carpet because that would be dishonest.” Now there’s a careful and honest scientist for you, I wish we were all so precise and candid. Cho also quotes Chang Kee Jung, a physicist not on the experiment, as saying, “I wouldn’t bet my wife and kids because they’d get mad. But I’d bet my house.” A careful and honest husband and father.
Scientists do difficult experiments all the time, of course, and yet we believe their results. That’s simply because it’s proper to be extra skeptical when the results fly in the face of our expectations: extraordinary claims require extraordinary evidence, as someone once paraphrased Bayes’s Theorem. When the supernova results in 1998 suggested that the universe is accelerating, most cosmologists hopped on board fairly quickly, both because we had a simple theoretical model in hand (the cosmological constant) and because the result helped explain several other nagging observational problems (such as the age of the universe). Here that’s not quite true, although we should at least mention that Fermilab’s MINOS experiment also saw evidence for faster-than-light neutrinos, albeit at a woefully insignificant level. More relevant is the fact that we have completely independent indications that neutrinos do travel at the speed of light, from Supernova 1987A. If the OPERA results are naively taken at face value, the SN 87A should have arrived a couple of years before we saw the explosion using good old-fashioned photons. But perhaps we should resist being naive; the SN 87A events were electron neutrinos, not muon neutrinos, and they were at substantially lower energies. If neutrinos do violate the light barrier, it’s completely consistent to imagine that they do so in an energy-dependent way, so the comparison is subtle.
Which brings up a crucial point: if this result is true (which is always a possibility), it is much more surprising than the acceleration of the universe, but it’s not as if we don’t already have ways to explain it. The most straightforward idea is to violate Lorentz invariance, a strategy of which I’m quite personally fond (although I’ve never applied the idea to neutrino physics). Lorentz invariance says that everyone measures the speed of light to be the same; if you violate it, it’s easy enough to imagine that someone (like, say, a neutrino) measures something different. Once you buy into that idea, neutrinos are an interesting place to apply the idea, since our constraints on their properties are relatively weak. It’s an interesting enough topic that there are review articles, and even a Wikipedia page on the idea.
And there are more way-out possibilities. Graininess in spacetime from quantum gravity might affect the propagation of nearly-massless particles; extra dimensions might provide a shortcut through space. This experimental result will probably give a boost to theorists thinking about these kinds of things, as well it should — there’s nothing disreputable about trying to come up with models that fit new data. But it’s still a long shot at this time. I hate to keep saying it over and over in this era of tantalizing-but-not-yet-definitive experimental results, but: stay tuned.”
http://blogs.discovermagazine.com/cosmicvariance/2011/09/23/faster-than-light-neutrinos/

Thursday, September 22, 2011

Speed of Light Exceeded?

"A total of 15,000 beams of neutrinos -- tiny particles that pervade the cosmos -- were fired over a period of 3 years from CERN towards Gran Sasso 730 (500 miles) km away, where they were picked up by giant detectors.

"Light would have covered the distance in around 2.4 thousandths of a second, but the neutrinos took 60 nanoseconds -- or 60 billionths of a second -- less than light beams would have taken.

"It is a tiny difference," said Ereditato, who also works at Berne University in Switzerland, "but conceptually it is incredibly important. The finding is so startling that, for the moment, everybody should be very prudent."

Obviously this overturns Einstein's axiom that the speed of light is the maximum allowable velocity in the universe, one of the foundational laws of modern physics.