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More on Benchtop Gravitational Redshift Measurements and Schleich's Talk Today

By the end of the day today, I'll have two practice presentations for the APS TX Section meeting this weekend that I'd really appreciate any feedback on, I'll be building them between some pretty cool meetings today.  Here's some more on one of the meetings... I get to see Dr. Schleich's talk on his gravitational red shift vs. gravitational accelerometer calculation[3][4] with respect to the KC interferometer, (picture 1), [2].  The authors of KC interferometer experiment claimed that it measured the gravitational redshift, or time dilation due to curved space time.  In his PRL paper, Dr. Schelich points out that by analyzing the KC interferometer by looking at the commutators of it's time evolution operators, one can avoid choosing a representation and show that the shift in phase of the atoms in the KC interferometer is due to the acceleration of the atom caused by the gravitational potential, and not due to the gravitational red s...

Random thoughts on Matrices, Differentiation, and Fourier Transforms

Today is electricity and magnetism midterm day, so I'm just going to jot down a skeleton of a thought process about the quantum mechanical phase operator research I've been reading for the last few days, and then I have to run. In matrix rperesentation, the derivative of a polynomial can be represented as[1]: for a third degree polynomial and extended for higher degrees.  Integration looks like this[ 2 ]: and can again be extended.  In the article by Nieto [3], he quotes Louisell as saying this about the discrete cosine and sine functions in quantum mechanics. In the Fourier domain where functions are represented by series of sine and cosine functions, derivatives are constructed simply by multiplying by i, (the square root of negative one), times frequency, and integrals are constructed by dividing by i times the frequency. Also, in relation to the EE discrete signal analysis, these two figures from the Nieto RMP article [4], (pictures 4 and 5)...

Synchronicity and Quantum Coherent States

Synchronicity was defined as Jung as the occurrence of two unrelated events that combined in the mind of the observer created a significant feeling of connectedness.  For the purposes of physics research, it might be something that belongs in the purview of an institute like Jack Sarfatti's "Physics Consciousness Research Group".  It might also just be explained away as an initial ignorance of the underlying history of the events, kind of like a 'hidden variable' theory.  Keep all these things in mind, as they'll relate to the story below in various ways. Here are my two seemingly unrelated events.  First, in quantum mechanics this week, we've been assigned a set of problems on coherent states.  Second, my adviser suggested I go to the colloquium being given here at Texas A&M this week by Wolfgang Schleich.  For those of you well versed in physics history, you've probably already gleaned the hidden variables.  For everyone el...

Notes on Superconducting Intermediate Sates, and Shubnikov De Haas Oscillations

This is just a series of rather scattered notes on things that I need to keep in mind for the h-ray experiment as well as things that are going on in class this week and how they're not that disconnected. Shubnikov, who I've mentioned before [1], (picture 1), in reference to the intermediate state of superconductors, came up in quantum mechanics class this week.  The topic of discussion was Shubnikov-DeHaas oscillations.  These are oscillations of the resistance of a material with respect to the strength of the magnetic filed it is exposed to.  It occurred to me the the graphs of the oscillating resistance[2], (picture 2 below), looked a bit like magnetron operation because at low magnetic fields nothing much happened due to the field being too low to bend the electrons into a complete orbit. A little more searching and reading revealed I wasn't necessarily the only person who ever thought so.  I ca...

Adding A JavaScript Controlled Google Plus Interactive Post Button

While learning all about adding a Google+ sign-in button, I noticed a new Google+ sevice, the interactive post.  An interactive post is the same as a normal Google+ post with the addition of a button that performs some 'action' on the target web site.  For an example Google+ interactive post, look here [4].  The Copasetic Flow web sites don't lend themselves to most social networking APIs, there's nothing to buy here yet, and there's no music or movies, but it occurred to me that there is somethinng to watch, the APRS tours[1].  Finally, I have an excuse to play with a social networking API! The mechanisms for using Google+ interactive posts are fairly well described by Google on their docuementation page [2], so I won't walk you back through that.  Where I ran into a few simple problems, (two to be exact), was with trying to influence the post contents using JavaScript. First, when trying to write to a button on the fly [3] using gapi.interactivepost...

Notation and Cryostat Design

I took the first look at the cryostat that is probably going to use for the hole theory of superconductivity experiment.  A cryostat is a vessel for holding a coolant or cooling system, (in our case, liquid helium), and the equipment/samples for an experiment.  Because helium transitions from a liquid to a gas at just over four degrees Kelvin, the cryostat has two walls separated by a vacuum space to insulate the liquid helium inside from the room level temperatures outside, just like a thermos. Before I get to much further into the details of the cryostat, I'd like to coin a phrase.  As those of you who already read the proposal for the experiment[1] know, Dr. Hirsch of UCSD has proposed a new model for superconductivity[2], and one of the predictions made by that model is that superconductors will emit Bremsstrahlung radiation[3] when they are quenched back into their normal non-superconducting state.  It's getting to be a bit much to type Bremsstrahlung a...

Magnet Design and Sample Size

I've been looking lately at using an already constructed superconducting magnet instead of building my own for the upcoming experiment, (an Experimental Search for the Bremsstrahlung Radiation Predicted by the Hole Theory of Superconductivity )[1].  The issue at hand is that the bore isn't large enough to accept the originally planned 3.8 cm radius spherical Pb sample.  I took a look this morning at what reducing the sample size would do to the energy of the predicted radiation in electron volts as well as what the dependency of the radiation flux would be with respect to sample size.  The two formula for the energy and the flux (pictures 1 and 2) are: See the aforementioned proposal as well as reference 2 for more details. Plotting each of these versus R, the radius of the sample gave the following plots, (pictures 3 and 4).  If the radius is reduced all the way down to 2 cm, the fall off in energy isn't unacceptable.  It still lands in the...