Аннотация:It is shown that from the equations of conservation laws for energy,linear momentum, angular momentum, and mass, which are conservation laws for material systems (such as thermodynamic, gas dynamical, cosmological systems, systems of charged particles, systems of elementary particles and others), it follows the evolutionary relation for functionals
the examples of which are the action functional, entropy, the Pointing vector, the Einstein tensor, and so on. This relation, which appears to be nonidentical due to the noncommutativity of conservation laws, describes the evolutionary processes proceeded in material systems and accomanied by the origination of physical structures. The physical fields and relevant manifolds are formed by such physical structures. In material system the
origination of physical structures is accompanied by the emergence of observable formations such as waves, vortices, turbulent pulsations and so on. Such a duality discloses the connection of physical fields with material systems and allows one to understand the properties and peculiarities of physical fields and relevant manifolds. The generation of physical fields and pseudometric and metric manifolds by material systems points to the fact that the space-time is not an originally unchanged substance.