Poincar\'e Sphere and Decoherence Problems
Y. S. Kim
TL;DR
This paper unifies the Poincaré sphere and Lorentz transformations into a single mathematical framework to address symmetries, decoherence, and entropy in physics and optics.
Contribution
It introduces a combined mathematical device linking Poincaré's polarization optics and Lorentz group symmetries for broader physical applications.
Findings
Unified framework for polarization and space-time symmetries
Addresses decoherence and entropy in optical systems
Connects particle symmetries with optical phenomena
Abstract
Henri Poincar\'e formulated the mathematics of the Lorentz transformations, known as the Poincar\'e group. He also formulated the Poincar\'e sphere for polarization optics. It is shown that these two mathematical instruments can be combined into one mathematical device which can address the internal space-time symmetries of elementary particles, decoherence problems in polarization optics, entropy problems, and Feynman's rest of the universe.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Optical Polarization and Ellipsometry · Quantum Mechanics and Applications