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Full-Text Articles in Physical Sciences and Mathematics

Mathematica Program To Compute Klein Gordon Equation For Generic Black Holes, Brant Smith Dec 2018

Mathematica Program To Compute Klein Gordon Equation For Generic Black Holes, Brant Smith

Physics Capstone Projects

The goal of this project is to develop a program that will compute the Klein Gordon equation for generic Black Holes through the program Mathematica. This program will be available on Utah State websites for public usage. This project focuses on an understanding of General Relativity and more concretely on theoretical aspects of Black Holes. Developing the program begins with computing the Laplace equation in flat space to understand what it means to have empty space without a Black Hole. The Klein Gordon equation for a Schwarzschild Black Hole is then solved to show what happens once a static, non-rotating …


Σ-Ary, Minnesota State University Moorhead, Mathematics Department Oct 2018

Σ-Ary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.


Remarks On Legendrian Self-Linking, Chris Beasley, Brendan Mclellan, Ruoran Zhang Aug 2018

Remarks On Legendrian Self-Linking, Chris Beasley, Brendan Mclellan, Ruoran Zhang

Mathematics and Statistics Faculty Publications

The Thurston-Bennequin invariant provides one notion of self-linking for any homologically-trivial Legendrian curve in a contact three-manifold. Here we discuss related analytic notions of self-linking for Legendrian knots in R3. Our definition is based upon reformulation of the elementary Gauss linking integral and is motivated by ideas from supersymmetric gauge theory. We recover the Thurston-Bennequin invariant as a special case.


Burning Man’S Mathematical Underbelly, Seth S. Cottrell Aug 2018

Burning Man’S Mathematical Underbelly, Seth S. Cottrell

Publications and Research

A math degree can take you to a lot of places, both physically and figuratively, and if you play your cards right, you too can argue counterfactual definiteness with a shaman. First in 2008, and several times since, a fellow math PhD and I traveled to the Burning Man art festival to sit in the desert and talk with the locals about whatever they happened to be curious about.