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[2] viXra:2401.0094 [pdf] replaced on 2024-02-17 23:07:54
Authors: Alfonso De Miguel bueno
Comments: 23 Pages. 23 figures (Note by viXra Admin: Please use the viXra Number 2401.0094 when making replacement)
This preprint introduces in a visual and conceptual way a model of two intersecting curved fields with a shared nucleus, whose quantized dynamics offer potential cases of the four-variable Jacobian conjecture and a nonlinear Hodge cycle. The Kummer type geometry of the model suggests a unified framework where abstract mathematical developments like Tomita-Takesaki, Gorenstein, and Dolbeault theories, can be conceptually linked to the Jacobian, Hodge, and Riemann conjectures. Other mathematical physics topics, like the mass gap problem, releflection positivity, the arise of an imaginary time, or t-duality are also described within this context. The model also lays the foundation of a novel deterministic quantum atomic system with a supersymmetric dual nucleus structure of matter and mirror antimatter.
Category: Topology
[1] viXra:2401.0049 [pdf] submitted on 2024-01-10 11:15:25
Authors: Ryan J. Buchanan
Comments: 12 Pages.
This document is devoted to understanding and implementing the energy numbers, which were recently explicated very clearly by Emmerson in his recent paper. Through this line of reasoning, it becomes apparent that the algebra defined by the energy numbers are indeed the natural algebra for categorifying quantization. We also develop a notion of symmetric topological vector spaces, and forcing on said spaces motivated by homological mirror symmetry.
Category: Topology
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