XLI Workshop on Geometric Methods in Physics Białystok, 1-6.07.2024 XIII School on Geometry and Physics Białystok, 8-12.07.2024

Jerzy Kijowski

Variational Principles in Physics

It is shown that the standard derivation of field equations (Euler-Lagrange equations), based on fixing {\em a priori} the field boundary conditions, cannot be applied in the case of hyperbolic field theory, because leads to a contradiction. This contradiction has been overlooked by theoretical physicists. A remedy for this contradiction is proposed. It consists in describing Lagrangian field theory as a classical symplectic control system. Implications for various branches of physics are discussed.
Event sponsored by
University of Białystok
University of Białystok