Apr 15, 2020Open AccessArticle
Relativistic properties of a Lagrangian density are compared with those of a Hamiltonian density. It is proved that a Lagrangian density and a Hamiltonian density undergo different Lorentz transformations. This outcome is a theoretical element that has been unnoticed for a very long time. It is also proved that this theoretical element plays a crucial role in the structure of weak interactions theory. In particular, it is shown that the theory that uses this element is overwhelmingly superior ov...
Mar 05, 2018Open AccessArticle
The regularities of the motion of a one-dimensional
Frenkel-Kontorova dislocation in pure aluminum at helium temperatures are
studied. Computer simulation was carried out using the sine Gordon equation,
written in dimensionless variables. It is proven that when the transition to
dimensionless variables the discreteness of the model is preserved. The dependence
of the true values of stresses on
Nov 22, 2017Open AccessArticle
A new type
of bi-stable spiral waves called “stepped spiral waves”, is investigated in
this study in an oscillatory medium exhibiting period-doubling bifurcations.
Prior to the period-doubling bifurcation of this system, the stepped spiral
waves are produced by an unwanted phase trajectory event; the loss of symmetry
takes the form of synchronization defect lines, where the trajectory in the
Jun 20, 2017Open AccessArticle
The Baryonic Tully-Fisher
relation was extended to clusters hypothesizing that a0, the characteristic acceleration of the Modified
Newtonian Dynamics (MOND), depends on the mass of the system. Circular speeds
were calculated for systems with mass up to 1021 M
Apr 26, 2017Open AccessArticle
The impact of the geometry on the gravitational force field and the impact of the mass beyond the test particle location were assessed in the rotation curve calculation of a hypothetical thin disk galaxy using Newtonian and Mondian dynamics. An effective equation for the characteristic acceleration of MOND was obtained based on the Mestel’s finite disk by normalizing the line mass density to the total mass of the galaxy and
Dec 22, 2015Open AccessArticle
The longitude of the perihelion advance of Mercury was calculated for the
two and ten-body problem by using a correction to the balance between the force
given by the Newton 2nd law of motion and the Newton gravitational
force. The corresponding system of differential equations was solved
numerically. The correction, that expresses the apparent mass variation with
the body speed, has a trend that is different from those that usually appear in
the electron theory and in the special the...
Dec 31, 2014Open AccessArticle
In this paper we construct conjugate spectral problem and the conditions of biorthogonality for distribution in extended plates of variable thickness of the problem considered. It describes the procedure of solving problems and a numerical result is on wave propagation in an infinitely large plate of variable thickness. Viscous properties of the material are taken into account by means of an integral operator Voltaire. Research is conducted in the framework of the spatial theory of visco elastic...
Sep 11, 2014Open AccessArticle
production technology, structure, electrical conductivity, coefficient of friction,
hardness, strength, and plasticity over a temperature range of 290 - 870 K of laminated copper-carbonic composites for sliding
electrical contacts of current-collecting devices obtained by electron-beam
evaporation and vapor condensation are studied.