Abrarov Dmitry. General solution of the Euler-poisson equations as a generator of universal perturbation theory in the context of the Langlands program and applications to problems of the theory of elementary particles and optimal control in real physical time

Natural Sciences / Mathematics / Dynamical systems

Submitted on: Sep 17, 2023, 08:37:11

Description: A hypothetical L-functional exp(S^3 )-model of the universal perturbation theory for Hamiltonian systems (motivic L-perturbation theory) is presented and its physical-mechanical interpretations are given, in the center of which is the concept of real physical time. This correlates with the observation that the famous Kowalevsky integral has the physical meaning of the real-time potential in the analytical mathematical model of the Earth-Moon system, which describes the analytical dipole and is consistent with the experimentally verified Aksenov-Grebenikov-Demin model of the Earth's gravitational potential. We argue that the equivariant Galois functional theory does not merely provides constructive solvability, but also plays the role of a universal equivariant perturbation theory, fundamentally blocking the classical KAM-effects of non-integrability and chaotization, being non-equivariant (fake), not taking into account in the classical consideration of the gyroscopic part the symmetry of reversibility in time of the initial equations. Qualitative mathematical, mechanical and physical interpretations of the equivariant Galois theory and also its possible technological applications are presented. Particular emphasis is placed on the interpretation of the Kowalevsky integral as a model of the real-time potential, the interpretation of the trivial solution of the original equations as a graviton (over ℝ-time) and the hypothetical axion complex (over ℂ-time), on the invariant approach to the Riemann hypothesis Econcerning zerosE.