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A New Paradigm for Mathematics and Physics - Diffusion Symmetry
Insights into Mathematics via YouTube
Overview
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This course introduces a new paradigm for understanding symmetry in mathematics and physics called "diffusion symmetry." The goal is to provide a unified alternative to the traditional group theory approach to symmetry. By analyzing examples and concepts such as hypergroups and fusion rule algebra, students will learn how diffusion symmetry complements and simplifies the understanding of symmetry. The teaching method involves a theoretical exploration of various disciplines and concepts, with a focus on the diffusion of gas as an analogy for symmetry. This course is intended for students and enthusiasts of mathematics and physics who are interested in exploring alternative perspectives on symmetry beyond group theory.
Syllabus
Intro
Overview
Two Types of Symmetries
Though Experiment: Gas Diffusion
History of the Subject
An Initial Example
The Multiset of Neighbors
Fusion Rule Algebra
The Probabilistic Variant
Character Table of an Alternating Group
Character Table of a Hypergroup
Taught by
Insights into Mathematics