Fundamentals of the Theory of Gravity in Hypercomplex Space.
Abstract
Vadim Sovetov
Existing theories of gravity, based on the force of attraction and the geometric curvature of space, do not allow a full description of the gravitational interactions of bodies in the universe. A theory of gravity based on hypercomplex space has been developed. It is shown that the hypercomplex space, as well as the complex plane, has a conformal mapping into a space of the same dimension with the corresponding curvature. For example, a straight line in the complex plane maps to a circle, and a straight line in 4D quaternion space maps to a sphere. As is known, the existing space of the universe has dielectric and magnetic permeability, measured in Farads and Henry per meter, respectively. In other words, empty space (vacuum) has capacitance and inductance. Similar concepts of capacitance and inductance are introduced for space with masses. It is shown that it is the capacitance and inductance of free space that contribute to conformal mapping, i.e. the twisting of the motions of bodies. Circular movements are carried out around the zero point of space without loss of energy. Moreover, the increments in body mass can take both positive and negative values. According to the law of conservation of energy, the universe is a single system with multiple MIMO connections. This connection is ensured by the presence of memory and the phenomenon of induction, which has no limits on the speed of transmission of energy changes, so the system instantly responds to such changes. In other words, there is no locality, which in quantum physics manifests itself through “entangled” particles. Using Maxwell’s equations, obtained analytically with the quaternion representation of the potential and kinetic functions of the intensity of bodies with masses, it is shown that the orbits of bodies move simultaneously in a circle and in a straight line. Therefore, it is impossible to consider the orbits of the planets of the solar system when the sun is stationary. The calculations carried out showed that when taking into account the movement of the planets together with the sun, the axes of rotation of the planets must have corresponding tilts that would ensure simultaneity of movement together with the sun. Moreover, due to the tilt of the planes of rotation when observed from the Earth, elliptical orbits of the planets are obtained.

