Bulletin of the American Physical Society
2006 Four Corners Section of the APS Fall Meeting
Friday–Saturday, October 6–7, 2006; Logan, Utah
Session H4: Fields and General Theory |
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Chair: Charles Torre, Utah State University Room: Eccles Conference Center Room 305 |
Saturday, October 7, 2006 8:30AM - 8:42AM |
H4.00001: Possible origin of inertial mass and of De Broglie wave. Alexander Panin Inertial mass naturally originates in the system of standing relativistic waves (i.e., waves moving with the same speed c in any reference frame) - just as a by-product of Lorentz transformations between observer's and standing wave's reference frames. Another mathematical by-products are origination of De Broglie wavelength (of the standing wave packet), of the second Newton law (in correct relativistic form), and of least action principle. So it is possible that everything in our universe (=all ``elementary'' particles we know) consists of only one object - relativistic wave moving with only one speed - c. Mathematical details are presented in the paper. [Preview Abstract] |
Saturday, October 7, 2006 8:42AM - 8:54AM |
H4.00002: Special relativity: two postulates or one? David Eckhard, Alexander Panin In current physics textbooks special relativity is derived from Einstein's two postulates: 1.The laws of physics are the same in all inertial frames. 2. The speed of light is the same as measured in all inertial frames. Because the speed of light is also the proportionality constant in the strength of electromagnetic interactions, and is among three fundamental constants (c, h, G) governing laws of physics, then the second postulate is the consequence of the first one (indeed, otherwise Coulomb law and all e/m phenomena would be reference frame dependent). Therefore, should not SR be reduced to one postulate only? Details of this discussion are presented. [Preview Abstract] |
Saturday, October 7, 2006 8:54AM - 9:06AM |
H4.00003: Causality in Classical Electrodynamics: a Comparison of Different Approaches Himal Rathnakumara, Manuel Berrondo Causality for classical charged particles has been traditionally interpreted in terms of the retarded solution of Maxwell's equations. Combined with the~Lorentz equation, radiation reaction for point particles produces runaway solutions.~On the other hand, Feynman's propagator implies causality in terms of the proper time of the particle and is hence compatible with classical electrodynamics where proper time and the time coordinate flow in the same direction.~In this work, we propose to find the radiation reaction equation for a classical point charged particles assuming causality in the Feynman-Stuckelberg sense with the aid of the Clifford algebra formalism. We provide a comparison of methods which will give insight into the solution. [Preview Abstract] |
Saturday, October 7, 2006 9:06AM - 9:18AM |
H4.00004: Performance requirements for ensemble implementations of quantum algorithms David Collins We consider the statistical performance of quantum algorithms when implemented on ensemble quantum computers. In particular we consider an ensemble quantum computer initially in a pseudo-pure initial state and determine the minimum polarization needed so that the quantum algorithm outperforms classical probabilistic competitors. We propose a general method for finding the minimum polarization and apply it to single bit output algorithms such as the Deutsch-Jozsa algorithm and the multiple output bit Grover search algorithm. [Preview Abstract] |
Saturday, October 7, 2006 9:18AM - 9:30AM |
H4.00005: Isometric Families of Minimal Surfaces Stephen Taylor We consider a minimal surface $M$ immersed in ${R}^3$ with induced metric $g=\psi\delta_2$ where $\delta_2$ is the two dimensional Euclidean metric and $2\psi$ is a scalar. We then construct a system of partial differential equations that constrain $M$ to lift to a minimal surface via the Weierstrauss- Enneper representation demanding the metric is of the above form. It is concluded that associated surfaces connecting the prescribed minimal surface and its conjugate surface satisfy the system. Moreover, we find a non-trivial symmetry of the system that generates a one parameter family of surfaces isometric to a specified minimal surface. We demonstrate an instance of the analysis for the catenoid $(\psi=\cosh^2(v))$, and comment on potential generalizations to a Lorentzian manifolds in a general relativistic setting. [Preview Abstract] |
Saturday, October 7, 2006 9:30AM - 9:42AM |
H4.00006: Stability of D1/D5 Black Strings Jared Greenwald, Eric Hirschmann We are interested in the stability of black strings. In particular, we are investigating the Gregory-Laflamme instability for a broader class of black strings. We consider a model from low energy string theory in six dimensions, often referred to as the D1/D5 system. In an effort to analyze this system, we investigate the stability of the corresponding black string through perturbative methods. We describe a solution with non-constant dilaton and then sketch the perturbation method and our numerical scheme for finding indications of instability. [Preview Abstract] |
Saturday, October 7, 2006 9:42AM - 9:54AM |
H4.00007: Kaluza-Klein Masses and Couplings: Radiative Corrections to Tree-Level Relations Sky Bauman The most direct experimental signature of a compactified extra dimension is the appearance of an infinite tower of Kaluza-Klein particles. For example, a single flat extra dimension compactified on a circle leads to Kaluza-Klein states whose masses are integral multiples of the compactification scale and whose couplings are independent of the mode number. However, these masses and couplings are subject to radiative corrections. In this talk, I investigate the extent to which such radiative corrections deform the expected tree-level relations between Kaluza-Klein masses and couplings. As toy models for our analysis, I investigate a five-dimensional scalar $\phi^4$ model and a five-dimensional Yukawa theory involving both scalars and fermions. In each case, I identify the conditions under which the tree-level relations are stable to one-loop order, and the situations in which radiative corrections distort these relations by introducing entirely new dependences on mode number. One unexpected result is that the squared masses of the fermions in Yukawa theory receive corrections that actually grow with mode number. Another is that a $\gamma^5$ interaction is radiatively induced in this theory. Although small, such corrections to the Kaluza-Klein spectrum can therefore distort the measurement of the apparent geometry of a large extra dimension, and may be observable at future colliders. Along the way, I also develop several new calculational techniques for renormalization in higher dimensions. [Preview Abstract] |
Saturday, October 7, 2006 9:54AM - 10:06AM |
H4.00008: Effects of Dynamical Compactification on D-Dimensional Gauss-Bonnet FRW Cosmology Keith Andrew, Brett Bolen, Chad Middleton We examine the effect on cosmological evolution of adding a string motivated Gauss-Bonnet term to the traditional Einstein-Hilbert action for a (1 + 3) + d dimensional Friedman-Robertson- Walker (FRW) metric. By assuming that the additional dimensions compactify as the usual 3 spatial dimensions expand, we find that the Gauss Bonnet terms give perturbative corrections to the FRW equations. We find corrections that appear in the calculation of both the Hubble constant, H0, and the acceleration parameter, q0, for a variety of cases that are consistent with a dark energy equation of state. [Preview Abstract] |
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