Direction of researches
The basic theoretical positions of evolutionary approach in studying the phenomenon of the course of time
The theory is based upon the conceptualization of the world with space-time reality, and upon the conceptual issues of the special theory of relativity. It is possible to say that geometric properties of space-time are given to us in senses: Curvature of space-time is given to us in sensing the force of weight (gravity), negative anisotropy (indefinite metric) of space-time is given to us in sensing of the course of time.
Thus, that is all about the continuing the program of physics geometrization, begun by Albert Einstein. The concept of the full-dimensional space characterized by invariance of an interval is entered. On the other hand, there is an input of a concept of reference system relative motion as invariance breakdown in the intervals of particles motion. It results in opening a possibility to explore the properties of motion in different kinds of space via invariance of interval. A mathematical apparatus is based upon the developed theory of metrical equations in a flat homogeneous non-degenerate full-dimensional pseudo-Euclidean space-time.
Temporal kinematics
The law of non-exterminable motion. In pseudo-Euclidean spaces, there is a proved existence of two fundamental types of motion – exterminable, which can be exterminated via matching a reference system, and non-exterminable, which cannot be exterminated via matching a reference system, and which also lays the base for the phenomenon of the course of time. The fact of existing non- exterminable motion in nature is evidenced by its visualization in moving massless particles – photons. As a result of metrical equation parity in a pseudo-Euclidean space the non-exterminable motion develops into two opposite directions along the axis of negative anisotropy. The fundamental speed w of a non-exterminable motion is defined by the only geometric parameter – light cone opening angle.
The law of invariance of a time distance ?. There is a proved independence of a time distance ? (of a time component of 4-У interval between moving particles) on time.
The law of invariance of a value sign ?. There is a proved invariance of the value sign ?.
It is shown, that the flow of time can be developed only in certain areas of pseudo-Euclidean spaces – in the body cavities of a light cone.
Basing on the second and the third laws, there is a proved conclusion about impossibility of collision of the particles, separated by a non-zero distance ?.
We are shown a compatibility between temporal kinematics and relativistic kinematics, particularly in a clock paradox and relativity of simultaneity.
Temporal dynamics
The law about prohibition on the trans-time interactions. There is a proved existence of a prohibition on the trans-time interactions regarding the three fundamental interactions, coming to the Standard Model of elementary particle physics, in the plain flat pseudo-Euclidean spaces.
We are shown, that the law about prohibition on the trans-time interactions leads to separation of the trans-time objects (having time extent) into parallel time layers, moving along the axis of anisotropy.
The separation of the trans-time objects is inevitably followed by appearance of horizons, separating every time layer (three-dimensional subspace) from the other time layers, which gives inception to an illusion of three-dimensionality of the world for an observer in such a time layer.
Inside every time layer, the particles, as a result of unprohibited interactions, join into three-dimensional linked objects.
It is noted, that generating of complex linked objects based on orbital interactions is only possible in true Euclidean subspaces, and is impossible in pseudo-Euclidean spaces. But the phenomenon of the course of time appears only inside opened light cones of pseudo-Euclidean spaces. Thus, our observed world can only exist as a symbiosis of a pseudo-Euclidean space with a true Euclidean subspace.
We are shown, that immersion and retrieval of particles into the body cavities of a light cone can only occur by pairs.
It is proved, that the content of particles and objects in every time layer is invariant (does not depend on a reference system choice). At this, particles having appeared in a certain time layer, are kept within and cannot ever leave it. We are shown that the current situation does not contradict with the special theory of relativity.
The conclusion is that the speed (of light), rest energy, inertia, and rest pulse are identified as parameters of a non-exterminable motion (their association is provided by relativistic relations). These parameters constancy characterizes a non-exterminable motion as an inertial one, the body’s inertia measure in a non-exterminable motion reveals its rest mass.
The conclusion is that no force or power acting in space can change the distance ? between particles or affect the parameter of the time flow (fundamental speed) w.
The conclusion is that no process being defined in some reference system can develop faster than the course of time in this system, i. e. v < w = tanh ? = c.
Within the extraspace mechanics, time traveler paradox is eliminated, as it’s somehow supposed to move to another time layer (in the Past) and even if it makes some changes there, those changes will have no effect on the time layer where the traveler came from (the layers are separated and isolated from each other by horizons). This layer becomes unreachable for him.
Dividing into time layers of the trans-time objects leads to inception of dark matter.
Any theoretical constructions undertake real meaning only when they have convincing empirical and observational evidence. This area is given special attention.
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