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18

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Citations since 2017

## Publications

Publications (18)

In this article we will bring together the results of a set of lectures [http://toe-physics.org/en/lectures.htm] and put them together as a short introduction to the Unified Interactions Theory. Our approach is based on an algebraic generalization of two spaces: the spacetime and the action space, which is similar to the spacetime. Both the spaceti...

This study concerns the field of fundamental generalizing concepts in present-day physics known as Unified Theory, Theory of Everything etc. Here we call it the New Physics.
Our key approach is to make algebraic generalization of two spaces: the space-time and the space of the action similar to the space-time. We attribute the properties of the un...

This study concerns the field of fundamental generalizing concepts in present-day physics known as Unified Theory, Theory of Everything etc. Here we call it the New Physics.
Our key approach is to make algebraic generalization of two spaces: the space-time and the space of the action similar to the space-time. We attribute the properties of the un...

Transformation rules for coordinates, velocities and accelerations in accelerated reference frames are derived. A generalized approach of the special relativity is taken for a basis. A 7-dimensional space including projections of velocity vector as three additional coordinates to time and geometric coordinates is studied. Turns in pseudoplane (dt,d...

We advance an universal approach to the construction of kinematics in non-inertial and, in particular, rotating reference frames. On its basis a 10-dimensional space including three projections of velocity vector and three turn angles in geometric space as additional coordinates to time and geometric coordinates is introduced. In a specific case, t...

We propose a new quantum explanation of the classical two-slit experiment for a single particle without probabilistic interpretation.

В статье выводится обобщенное уравнение релятивистской квантовой механики из уравнений структуры алгебры Клиффорда. Показано, что уравнение относится к двум частицам, одна из которых является безмассовой. Отсюда полученное уравнение рассматривается как относящееся к лептонам одного поколения.

The article shows that quantum phenomena can be explained by the algebraic structure of space of the fundamental physical value of action. The eigenvalue operator problem is obtained as a consequence of an algebraic action vector multiplication law, existence of which we conceded. Thus we come to the explanation of quantum phenomena by the algebrai...

The article examines the relationship between the laws of the multiplication of vectors in the co-variant Clifford algebra and Dirac matrices. The result is that spatial Dirac matrices are recorded in the form of a matrix structural permanent Clifford algebra over a geometric space. Spatio-temporal Dirac matrices represent the structural constants...

A variant of the uniform theory of interactions is considered. It is based on a replacement of 4-dimensional space-time to the space of tensors of all ranks and on a multi-dimensional generalization of the Lagrange least action principle. The author uses methods of algebra and differential geometry including Cartan's method of differential forms. T...

We develop an unified algebraic approach to the description of gauge interactions within the framework of a new concept of quantum mechanics. The next step in generalizing the space-time and the action vector space is made. The gauge field is defined through linear mappings in the generalized space-time and the action space. Relativistic quantum me...

We develop a new concept of quantum mechanics which is based on a generalized space-time and on an action vector space similar to it. Both spaces are provided by algebraic properties. This allows to calculate the Dirac matrixes and to derive quantum mechanics equations from structure equations of the specified algebras. A new interpretation of the...

В монографии рассмотрен вариант единой теории взаимодействий. В ее основу положен переход от четырехмерного пространства-времени к пространству тензоров всех рангов и многомерное обобщение принципа наименьшего действия Лагранжа.
Автор использует методы алгебры и дифференциальной геометрии, в том числе метод дифференциальных форм Картана. Большинств...

The method for control (test) of torque in stepping motors on the basis
of analysis of current curve in motor winding is presented. The use of
reduction gear and gram gauge is not required. It is characterized by
labor input and minimal control time, below 3 s with sufficient
precision control. The acquisition of the control data can be performed
e...

A generalized space with torsion and curvature, defined by a fundamental group, is constructed by starting from the necessity of introducing standards of length and time in gravitation theory. The field variables coincide with the coefficients ɛ
iμ of the infinitesimal operator of the group. It is shown that the structural equations of the group de...

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