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

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

Radial Coulomb and Oscillator Systems in Arbitrary Dimensions

A mapping is obtained relating analytical radial Coulomb systems in any dimension greater than one to analytical radial oscillators in any dimension. This mapping, involving supersymmetry-based quantum-defect theory, is possible for dimensions unavailable to conventional mappings. Among the special cases is an injection from bound states of the three-dimensional radial Coulomb system into a three-dimensional radial isotropic oscillator where one of the two systems has an analytical quantum defect. The issue of mapping the continuum states is briefly considered.Comment: accepted for publication in J. Math. Phy

Aluminum/alkaline earth metal composites and method for producing

A composite is provided having an electrically conducting Al matrix andelongated filaments comprising Ca and/or Sr and/or Ba disposed in the matrixand extending along a longitudinal axis of the composite. The filaments initially comprise Ca and/or Sr and/or Ba metal or alloy and then may be reacted with the Al matrix to form a strengthening intermetallic compound comprising Al andCa and/or Sr and/or Ba. The composite is useful as a long-distance, high voltage power transmission conductor