Abstract
The general field, containing all the macroscopic fields in it, is divided into the mass component, the source of which is the mass four-current, and the charge component, the source of which is the charge four-current. The mass component includes the gravitational field, acceleration field, pressure field, dissipation field, strong interaction and weak interaction fields, other vector fields. The charge component of the general field represents the electromagnetic field. With the help of the principle of least action we derived the field equations, the equation of the matter’s motion in the general field, the equation for the metric, the energy and momentum of the system of matter and its fields, and calibrated the cosmological constant. The general field components are related to the corresponding vacuum field components so that the vacuum field generates the general field at the macroscopic level.
Highlights
Most of the uniedeld theories, such as the theory of everything, grand unied theory, loop quantum gravity, string theory, and some other theories, are based on the quantum approach and are intended to unite the fundamental interactions at the level of elementary particles
In Ref. 7, it is assumed that theeld strength vector and the solenoidal vector of the uniedeld consist of the sum of theeld strengths and solenoidal vectors of all
Where L is the Lagrangian, R is the scalar curvature, Ã is the cosmological constant, J 1⁄4 0u is the four-vector of the mass current, 0 is the mass density of a point particle of matter in the reference frame associated with the particle, u cdx ds is the four-velocity of the point particle, c is the speed of light, s 1⁄4 ðc ; À©Þ is the fourpotential of the mass component of the generaleld, described with the help of the scalar potential and the vector potential © of thiseld, s is the tensor of the mass component of the generaleld, A 1⁄4 ð’c ; ÀAÞ is the four-potential of the electromagneticeld dened using the scalar potential ’ and the vector potential A, j 1⁄4
Summary
Most of the uniedeld theories, such as the theory of everything, grand unied theory, loop quantum gravity, string theory, and some other theories, are based on the quantum approach and are intended to unite the fundamental interactions at the level of elementary particles. In Ref. 7, it is assumed that theeld strength vector and the solenoidal vector of the uniedeld consist of the sum of theeld strengths and solenoidal vectors of all This is an Open Access article published by World Scientic Publishing Company. Each four-current, associated with a particulareld, contributes to the uniedeld vector components The drawback of this approach is lack of covariance of the presented uniedeld equations. The di®erence between the basic postulates of Both theories does not prevent from describing in CTG all the standard e®ects of GTR,[10] presenting the expression for the metric tensor,[11] explaining the Pioneer anomaly,[12] and considering for macroscopic systems the contribution of the gravitationaleld in the Navier–Stokes equation,[13] in estimation of the parameters of cosmic bodies[14] and in the virial theorem.[15]. In order to describe the macroscopicelds it su±ces to use simple schemes in the form of equations for the four-potentials of Maxwellian type, at least as arst approximation
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