Year: 2024
Type: preprint
Abstract: This paper presents a topological model involving two intersecting curved fields with varying phases that may represent a case of the Jacobian conjecture for four variables. It also suggests connections with other mathematical topics such as Gorenstein Liaison, Tomita-Takesaki modular theory, the Mass gap problem, Reflection positivity, T-duality in string theory, or Hodge theory, all considered within the dual fields model framework. The dynamics of the fields model may also represent a quantized Hodge cycle where the algebraic varieties are nonlinearly combined. The mathematical investigation presented in this paper stems from the search for a deterministic atomic model, where two curved fields intersect to create a shared nucleus of matter and its mirror image. This speculative nuclear model is generally described in the paper's concluding section.
Author: Alfonso De Miguel Bueno
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4392392232