%0 Journal Article
%T Fundamental Connections in Differential Geometry: Quantum Field Theory, Electromagnetism, Chemistry and Fluid Mechanics
%A Jorge Zabadal
%A Ederson Staudt
%A Adnei Marinho
%A Vin¨ªcius Ribeiro
%J Open Access Library Journal
%V 10
%N 9
%P 1-15
%@ 2333-9721
%D 2023
%I Open Access Library
%R 10.4236/oalib.1110192
%X This work presents novel hydrodynamic formulations that reconcile the continuum hypothesis with the emergence of electromagnetic interactions among molecules from fundamental principles. Two models are proposed: a relativistic version of the Navier-Stokes equations derived from commutation relations, and a Helmholtz-like system obtained by applying the Hodge operator to the extended Navier-Stokes equations. Preliminary analysis suggests that the second model, with its nonlinear terms serving as a generalized current, can reproduce microscopic quantum effects. It shows promise for generating self-consistent field equations via B£¿cklund transformations, remaining valid across all scales despite the breakdown of the continuum hypothesis.
%K Commutation Relations
%K Extended Navier-Stokes Equations
%K Extended Helmholtz Equations
%K Interaction Terms
%K Quantum Behavior
%U http://www.oalib.com/paper/6795739