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Four-Variable Jacobian Conjecture in a Topological Quantum Model of Intersecting Fields
Revision notes
Added three new apendices about Wirtinger derivatives, Riemann Zeta function, and the complex plane visualization, they all related to the same geometric model introduced in the preprint.
Abstract
This preprint introduces in a visual and conceptual way a model of two intersecting curved fields with a shared nucleus, whose quantized dynamics offer po tential cases of the four-variable Jacobian conjecture and a nonlinear Hodge cycle.
The Kummer type geometry of the model sug gests a unified framework where abstract mathemat ical 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, reflection positivity, the emergence of imaginary time, or t-duality, are also considered within this context.
The fields model also lies the foundation of a novel deterministic quantum atomic system with a super symmetric dual nucleus structure of matter and mir ror antimatter
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Author and article information
References
De miguel Bueno Alfonso. Four-Variable Jacobian Conjecture in a Topological Quantum Model of Intersecting Fields. 2024. Zenodo. [Cross Ref]