USING GAUGING IN NONLINEAR PROBLEMS OF ECONOMICS, PHYSICS AND TECHNOLOGY

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Submitted: 2025-02-11; Published: 2025-02-11

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

The approach proposed in this paper uses ideas and instruments of gauging theory to handle nonlinear problems in economics, nonlinear dynamics and various technological issues. We see nonlinearity of gauging as hardly a technical issue arising while solving the variation problem, but a structural feature of an intrinsically nonlinear space shaped by its gauge-based connections. Under these assumptions, the solution of the variation problem is shown as invariant to transformations of the vector field which present the initial source of nonlinear disturbances.