Dynamic general covariance of physical systems
Abstract
One unusual property of dynamic systems, whose state is characterized by a set of scalar dynamic variables satisfying a system of differential equations of a general form, is considered. This property is related to the behavior of equations (optionally covariant) with respect to coordinate diffeomorphisms: the equations, in a sense, retain their form on their solutions. More precisely, non-covariant addends to the equations of such systems always exactly reduced in any order of perturbation theory by solutions of unperturbed (initial) equations. This property demonstrated by a set of simple illustrative examples. Various aspects of the dynamic covariance are discussed.
Cite
@article{arxiv.1911.01846,
title = {Dynamic general covariance of physical systems},
author = {Sergey S. Kokarev},
journal= {arXiv preprint arXiv:1911.01846},
year = {2019}
}
Comments
The matter of a talk, prepared for 3-d Russian conference "Foundations of fundamental physics and mathematics" (29-30.11.2019)