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Four-Variable Jacobian Conjecture in a Topological Quantum Model of Intersecting Fields

Authors: Alfonso De Miguel bueno

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.

Comments: 23 Pages. 23 figures (Note by viXra Admin: Please use the viXra Number 2401.0094 when making replacement)

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Submission history

[v1] 2024-01-21 01:09:06
[v2] 2024-01-24 22:23:47
[v3] 2024-02-17 23:07:54

Unique-IP document downloads: 617 times

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