3 Here: any closed surface in the space of Cartesian coordinates; the gravitational and cosmological constants respectively; the potential of united cosmicgravitational field; the vector components of electromagnetic field; the potentials of electromagnetic and elastic fields respectively; elastic displacements and stresses; the orts of the outer normal to Vector represents the driving force of field singularities inside Σ, which equals the work spent to move the singularities for unit length. If all then there are no singularities inside Σ; in this case the basic differential equations inside Σ can be derived from the invariant integral (1), e.g. the Maxwell equations, the equations of elasticity theory and gravitation. Moreover, Eq. (1) allows one to derive the interaction laws for any particular cases, e.g. Newton’s law of gravitation, Coulomb’s law for electric charges, Ampere’s law for electric currents, Joukowski’s equation for wing lift, Irwin’s law for crack driving force, PeachKoehler’s law for dislocation driving force, Eshelby’s law for point inclusion driving force, as well as many new ones [2-5]. For example, the interaction force of two electric charges moving in a dielectric medium along the common symmetry axis at speed was found to be equal to [3-5] (2) Here: the distance between the charges in the proper reference frame; the dielectric constant; the speed of light in vacuum and medium respectively. For , Eq. (2) represents Coulomb’s law. If the force applies only to the rear charge and the force’s sign changes. Eq. (2) plays the main part in electron mode fracture [3, 5] by powerful electron beams. Taking account only of two last terms in the right-hand part of Eq. (1) provides the original invariant integral which is the basis of modern fracture mechanics [1-5]. 3. Cosmic-gravitational field In what follows we consider the united cosmic-gravitational field defined by the invariant integral as follows (3) In Eq. (3), the first term describes the flux of gravitational energy through the closed surface the second term the work of field tractions on and the third term the flux of cosmic energy through In the present non-relativistic approach, the cosmic energy can, probably, be
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