The correspondence to the Solar System of not the static Newtonian gravitational field, but the dynamic gravitational field, which is also formed by the motion of the planets and, therefore, adapts to changes in the location of the planets in it, is substantiated. It is because of this that gravitational pseudo-forces, like centrifugal pseudo-forces of inertia, are orthogonal at all points to the quasicircular (pseudo-elliptical) orbits of the planets.

The feasibility of using the equations of the dynamic gravitational field to reflect the expanding Universe has been proven. The fallacy of using such a false parameter as the coordinate velocity of light in GR is proven. This coordinate velocity of light, unlike the limit velocity of matter, cannot in principle be less than the true velocity of matter.

The correspondence of the parameter b of the Schwarzschild solution of the gravitational field equations to the square of the relative frequency of electromagnetic interaction of micro-objects of a stationary matter and its equivalence to the square of the maximum possible (limit) velocity of this matter on a singular surface are substantiated.

The possibility to avoid physical realizability of cosmological singularity (singularity of Big Bang of the Universe) directly in the orthodoxal general theory of relativity (GR) and in its improved version – the relativistic gravithermodynamics (RGTD) is substantiated.

Доведена доцільність використання для відображення розширного Всесвіту саме рівнянь динамічного гравітаційного поля. Лише завдяки цьому Габблова швидкість руху речовини не буде перевищувати швидкість світла на обрії подій Всесвіту.

The feasibility of using the equations of the dynamic gravitational field to reflect the expanding Universe has been proven. Only thanks to this, the Hubble velocity of matter will not exceed the velocity of light at the event horizon of the Universe.

For the collective gravithermodynamic Gibbs microstates the connection between all thermodynamic potentials and parameters of matter have been found. This connection is realized with the help of four hidden wave functions that can take arbitrary values with certain probability.

The solution to the gravitational field equations of a flat galaxy has been found. It is shown that at the edge of the galaxy the excessively strong ordinary (unreduced) centrifugal pseudo-forces of inertia are compensated mainly by centripetal pseudo-forces of evolutionary self-contraction of matter in the background Euclidean space of expanding Universe, and not by the weak gravitational pseudo-forces at the edge of the galaxy.

In a galaxy that is not a continuous astronomical self-formation the coordinate velocity of light can be significantly greater than zero on the median surface with the minimum possible value of the Schwarzschild radius. After all, the prevention of the annihilation of stars containing antimatter with stars containing matter is ensured by their rotation around the median surface, which does not allow them to fall onto this surface, and even more so to cross it.

According to the RGTD equations, the configuration of the dynamic gravitational field of a galaxy in a quasi-equilibrium state is standard (canonical in RGTD). Because it is not determined at all by the spatial distribution of the average mass density of its non-continuous matter.

According to the Relativistic Gravithermodynamics (RGTD) equations, the configuration of the dynamic gravitational field of a galaxy in a quasi-equilibrium state is standard (canonical in RGTD). That is because it is not determined at all by the spatial distribution of the average mass density of its non-continuous matter.

The cardinal difference between relativistic gravithermodynamics (RGTD) and general relativity (GR) is that in RGTD the extranuclear thermodynamic characteristics of matter are used in the tensor of energy-momentum to describe only its quasi-equilibrium motion.

Thermodynamical interpretation of General Relativity, consideration of the Universe as a single spiral-wave formation, and consideration of the so-called elementary particles and quarks as finite local flows of these spiral waves actually allowed the creation of a "theory of everything".

The most perfect modification of the special and general theories of relativity is considered. It is shown that equations of the gravitational field of General Relativity (GR) should be considered as equations of spatially inhomogeneous gravithermodynamic state of only utterly cooled down matter. This matter can only be the hypothetical substances such as ideal gas, ideal liquid and the matter of absolutely solid body. The real matter will be inevitably cooling down for infinite time and never will reach the state that is described by the equations of gravitational field of the GR.