Data Tables for Lorentz and CPT Violation

This work tabulates measured and derived values of coefficients for Lorentz and CPT violation in the Standard-Model Extension. Summary tables are extracted listing maximal attained sensitivities in the matter, photon, neutrino, and gravity sectors. Tables presenting definitions and properties are also compiled.Comment: 122 pages, 2020 editio

Testing CPT and Lorentz Symmetry with Electrons and Positrons in Penning Traps

We present a theoretical analysis of signals for CPT and Lorentz violation in g-2 and charge-to-mass-ratio experiments on electrons and positrons in Penning traps. Experiments measuring anomaly frequencies are found to be the most sensitive to CPT violation. We find that the conventional figure of merit for CPT breaking, involving the difference of the electron and positron g factors, is inappropriate in this context, and an alternative is introduced. Bounds of approximately one part in 10^{20} are attainable.Comment: 5 pages, talk presented by R.B. at the 1998 Conference on Trapped Charged Particles and Fundamental Physics, Pacific Grove, California, August-September 199

Hydrogen and Antihydrogen Spectroscopy for Studies of CPT and Lorentz Symmetry

A theoretical study of possible signals for CPT and Lorentz violation arising in hydrogen and antihydrogen spectroscopy is described. The analysis uses a CPT- and Lorentz-violating extension of quantum electrodynamics, obtained from a general Lorentz-violating extension of the minimal standard model with both CPT-even and CPT-odd terms. Certain 1S-2S transitions and hyperfine Zeeman lines exhibit effects at leading order in small CPT-violating couplings.Comment: 9 pages, talk presented by A.K. at the 1998 Conference on Trapped Charged Particles and Fundamental Physics, Pacific Grove, California, August-September 199

Testing CPT and Lorentz Symmetry with Protons and Antiprotons in Penning Traps

A theoretical analysis is performed of Penning-trap experiments comparing protons and antiprotons to test CPT and Lorentz symmetry through measurements of anomalous magnetic moments and charge-to-mass ratios. Possible CPT and Lorentz violations arising at a fundamental level are treated in the context of a general extension of the standard model of particle physics and its restriction to quantum electrodynamics. In a suggested experiment measuring anomaly frequencies a bound on CPT violation of 10^{-23} for a relevant figure of merit is attainable. Experiments comparing cyclotron frequencies are sensitive within this theoretical framework to different kinds of Lorentz violation that preserve CPT. Constraints could be obtained on one figure of merit at 10^{-24} and on another in a related experiment with H- ions and antiprotons at the level of 10^{-25}.Comment: 5 pages, presented by N.R. at the 1998 Conference on Trapped Charged Particles and Fundamental Physics, Pacific Grove, California, August-September 199

Bipartite Riemann-Finsler geometry and Lorentz violation

Bipartite Riemann-Finsler geometries with complementary Finsler structures are constructed. Calculable examples are presented based on a bilinear-form coefficient for explicit Lorentz violation.Comment: 6 pages, accepted for publication in Physics Letters

A Model for Undergraduate Research in Statistics Education

This essay shows how the current SoTL project was used as a vehicle for undergraduate research to directly improve student learning and how it might be used to introduce a new paradigm in the training of secondary mathematics teachers. Using the language of David Lopatto’s research into undergraduate research, I share how I have integrated an undergraduate student as a co-investigator of our SoTL project. The article shares the criterion I used for choosing the student, a brief overview of the SoTL project, the educational benefits for the student and possible future directions for incorporating undergraduate students