HyperComplex Seminar, 18th Sep 2024
Abstract. Starting from nite lattice systems and rewriting rules, we focus our attention to field congurations of discrete trivial ber bundles. Inspired by concepts from nanomagnetism and the
ToulouseKleman classication, the research characterizes pseudoparticle structures such as Skyrmions and Hopons in higher dimensions.
These structures are examined for their potential in material science, particularly in hosting topologically stable congurations that mimic biological processes like cell optimization around defects, akin to how mollusk aragonite wraps particles to form pearls. This theoretical framework not only enriches our understanding of complex physical systems in physics or biological systems but also suggests novel applications in both fundamental physics and materials engineering, bridging the gap between theoretical models and practical technological advancements.
References
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[5] P. Keith, [WWS21] Defect movement in lattice rewriting systems, (Last date visited July 2022) https://community.wolfram.com/groups/....