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Quaternionic Foundations of Quantum Mechanics and Spin 1/2 Visualization

HyperComplex Seminar via YouTube

Overview

Explore the fascinating connection between quaternion quantum mechanics and Augustin Cauchy's elastic continuum model in this inaugural HyperComplex Seminar lecture. Delve into the derivation of non-relativistic and relativistic wave equations using Cauchy theory and Hamilton quaternion algebra. Discover how the quaternion representation of the elastic continuum provides a comprehensive interpretation of quantum mechanics, addressing ontological challenges and offering potential for theory generalization and testing. Examine a unique visualization of spinors using quaternions, gaining insights into the Dirac equation and spin 1/2 concept crucial to the Planck-Kleinert model and Pauli Exclusion Principle. Witness an interactive simulation of a periodically twisting 3D grid, illustrating spin 1/2 behavior of fermions in an elastic solid. Explore the visualization of Dirac spinors using orthogonal quaternions, drawing parallels to the Dirac belt trick and offering a illuminating representation of quantum spin behavior in time and space.

Syllabus

Chantal Roth, Quaternionic foundations of Quantum Mechanics and spin 1/2 visualization

Taught by

HyperComplex Seminar

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