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DOE OSTI · 2530367

Ergodic Lagrangian dynamics in a superhero universe

Tregillis, Ian Lee [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:000000031275729X)·Martin, George R. [Highgarden Entertainment , Santa Fe, NM (United States)]
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Abstract

We present a fictional scenario that, while undeniably whimsical, provides the foundation for a unique exercise in extended problem solving, physics analysis, and quantitative model development. Starting with the foundational premise of the Wild Cards shared-world superhero universe, we demonstrate how a variety of concepts appropriate to the advanced undergraduate level—ergodicity, functional analysis, Lagrangian mechanics, and the ever-important simplifying approximation—can be combined into a rich, coherent mathematical model. The goal of this case study is to develop a useful pedagogical exercise in exploring an open-ended research question that presents, at first glance, no clear path forward. Being both eclectic and lengthy, this exercise offers a unique way for students to apply their core physics and mathematics education. It is perhaps best used within a senior honors seminar or within a brief (e.g., January term) elective class.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSAbstractsHarmonic oscillatorLagrangian mechanicsMathematical modelingNumerical integrationPathogensProbability theoryReviewScience educationStudents

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Tregillis, Ian Lee [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:000000031275729X), Martin, George R. [Highgarden Entertainment , Santa Fe, NM (United States)]. 2025-02-01. Ergodic Lagrangian dynamics in a superhero universe. https://doi.org/10.1119/5.0228859

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