…ons of a particle on a string of finite length. Let be the set of differentiable square integrable functions . And let , the Hamiltonian for a particle free of any forces or interactions, and where . As a dirt-simple example of indeterminism, choose the initial condition , and given by, This wavefunction is square integrable and differentiable. (Square-integrability follows from the fact that , and differentiability is obvious.) But let’s calc…
Read more…e’s an example. You put a $229 USD price-tag on an important textbook, Souriau’s (1970) Structure of Dynamical Systems. I’m sure you’ve done the calculation: how many people can be expected buy the textbook at that price? Not many. Not to mention that we could pick up two copies of J. K. Rowling’s “complete works” for this royal sum. This is not dissemination of information. This is you failing the academic community. Because of your silliness, So…
Read moreThe article is available here. That’s right. If you thought that identifying galactic cosmic rays was funky, try doing it with IceCube. Wes sai! Apparently, IceCube has recently been involved in a number of interesting developments. If you thought ”galactic cosmic rays” was hip, you may also be interested in IceTop: Cosmic Ray Physics with IceCube. Then of course, there’s Ice Cube’s skillful ability to detect dark-matter. A variety of projects wi…
Read more…gacy. Yuval Ne’eman and Shlomo Sternberg have recorded an old particle physicist’s adage: Ever since the fundamental paper of Wigner on the irreducible representations of the Poincaré group, it has been a (perhaps implicit) definition in physics that an elementary particle ‘is’ an irreducible representation of the group, G, of ‘symmetries of nature’. (Ne’eman and Sternberg 1991, 327.) This idea captures much of the physical basis of GSR. Let’s dis…
Read more…ipse caused the super tide for exactly the same reason. (Read more about this in my Lecture Notes on Causation.) Here is how the moon creates tides: it pulls on the oceans, which cause them to slosh into an American football-shape that points at the moon. As the earth spins the peak of the football sloshes across different locations, causing a high tide roughly once per day. There is a stronger tide roughly twice per month, whenever the sun and th…
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