Topological Charges with Electromagnetic and Gravitomagnetic Interactions

Explore a fascinating lecture on topological charges and their interactions in liquid crystals, drawing parallels to particle physics. Delve into the Landau-de Gennes model and its application of an EM-like Lagrangian interpreting field curvature as a dual EM field. Discover how Gauss's law quantizes topological charges and how a Higgs-like potential regularizes charge to finite energy, aligning with the running coupling effect. Examine particle-like topological defects, including vortices with knots resembling baryons, and nuclei knotted against Coulomb repulsion. Learn about the extension to 4D fields and how their dynamics are governed by a second set of Maxwell equations for gravity. Gain insights into the potential connections between liquid crystal phenomena and fundamental particle physics through this 58-minute presentation from the HyperComplex Seminar 2023, Session B1 on the Ontology of Quantum Mechanics.