**International Journal of Physics**»Articles

## Article

# The Critical Error in the Formulation of the Special Relativity

^{1}Mechanical Department, DAH (S & P), Beirut, Lebanon

*International Journal of Physics*.

**2014**, 2(6), 197-201

**DOI:**10.12691/ijp-2-6-3

**Copyright © 2014 Science and Education Publishing**

**Cite this paper:**

Radwan M. Kassir. The Critical Error in the Formulation of the Special Relativity.

*International Journal of Physics*. 2014; 2(6):197-201. doi: 10.12691/ijp-2-6-3.

Correspondence to: Radwan M. Kassir, Mechanical Department, DAH (S & P), Beirut, Lebanon. Email: radwan.elkassir@dargroup.com

## Abstract

The perception of events in two inertial reference frames in relative motion was analyzed from the perspective of the Special Relativity postulates, leading to the Lorentz transformation equations for the time and space coordinate in the relative motion direction. Yet, straightforward inconsistencies were identified upon examining the conversion of the time interval between two co-local events in the traveling reference frame. The approach used in the Special Relativity formulation to get around the identified inconsistencies was revealed. Subsequent mathematical contradictions in the Lorentz transformation equations, disproving the Special Relativity predictions, were shown.

## Keywords

special relativity, time dilation, length contraction, Lorentz transformation, mathematical contradictions, co-local and simultaneous events

## References

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[13] | Mansouri R, Sexl R.U, "A test theory of special relativity: II. First order tests," General. Relat. Gravit, 8 (7). 515-524. 1977. | ||

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[17] | Cacciatori, S, Gorini, V, Kamenshchik, A, "Special relativity in the 21st century," Annalen der Physik, 520 (9-10). 728-768. 2008. arXiv: 0807. 3009. | ||

[18] | Kassir, R.M, “On Lorentz Transformation and Special Relativity: Critical Mathematical Analyses and Findings,” Physics Essays, 27 (1). 16-25. Mar. 2014. | ||

[19] | Kassir, R.M, “On Special Relativity: Root cause of the problems with Lorentz transformation,” Physics Essays, 27 (2). 198-203. Jun. 2014. | ||

[20] | Einstein, A, “Einstein's comprehensive 1907 essay on relativity, part I, english translations, in American Journal of Physics, 45. 1977,” Jahrbuch der Radioaktivitat und Elektronik, 4. 1907. | ||

## Article

# The Wave Properties of Matter: The Physical Aspect

^{1}The State University of Management, Moscow, Russia

*International Journal of Physics*.

**2014**, 2(6), 189-196

**DOI:**10.12691/ijp-2-6-2

**Copyright © 2014 Science and Education Publishing**

**Cite this paper:**

Liudmila B. Boldyreva. The Wave Properties of Matter: The Physical Aspect.

*International Journal of Physics*. 2014; 2(6):189-196. doi: 10.12691/ijp-2-6-2.

Correspondence to: Liudmila B. Boldyreva, The State University of Management, Moscow, Russia. Email: boldyrev-m@yandex.ru

## Abstract

The aim of the paper is to show that there is a physical process which could underlie the wave properties of matter. A comparison has been drawn between the properties of a pair of electrically unlike virtual particles created by a quantum entity in the physical vacuum and the characteristics of the quantum entity wave function. Analogies were revealed between the spin precession frequency of pair of virtual particles and the wave function frequency, between the size of the electric dipole produced by a pair of virtual particles and the wave function wavelength, and also between the angle of spin precession of pair of virtual particles and the wave function phase. It is shown that quantum correlations of quantum entities may be caused by spin correlations (by spin supercurrents) between virtual particles created by the quantum entities in the physical vacuum. It is shown that the wave properties of a quantum entity are due to precession of spin of pair of virtual particles created by the quantum entity in the physical vacuum.

## Keywords

wave of matter, quantum electric dipole moment, wave function frequency, wave function wavelength, virtual particles, quantum correlations, spin supercurrent

## References

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## Article

# To Principles of Quantum Theory Construction

^{1}Heat-Mass Transfer Institute of National Academy of Sciences of RB, Brovka Str.15, Minsk

^{2}M.V.Lomonosov Moscow State University, Moscow

*International Journal of Physics*.

**2014**, 2(6), 181-188

**DOI:**10.12691/ijp-2-6-1

**Copyright © 2014 Science and Education Publishing**

**Cite this paper:**

Dmitri Yerchuck, Alla Dovlatova, Andrey Alexandrov. To Principles of Quantum Theory Construction.

*International Journal of Physics*. 2014; 2(6):181-188. doi: 10.12691/ijp-2-6-1.

Correspondence to: Dmitri Yerchuck, Heat-Mass Transfer Institute of National Academy of Sciences of RB, Brovka Str.15, Minsk. Email: dpy@tut.by

## Abstract

New insight to the principles of the quantum theory construction is given. It is based on the symmetry study of main differential equations of mechanics and electrodynamics. It has been shown, that differential equations, which are invariant under transformations of groups, which are symmetry groups of mathematical numbers (considered within the frames of the number theory) determine the mathematical nature of the quantities, incoming in given equations. The substantial consequence of the given consideration is the proof of the main postulate of quantum mechanics, that is, the proof of the statement, that to any quantum mechanical quantity can be set up into the correspondence the Hermitian matrix. It is shown, that a non-abelian character of the multiplicative group of the quaternion ring leads to the nonapplicability of the quaternion calculus for the construction of new versions of quantum mechanics directly. The given conclusion seems to be actual, since there is a number of modern publications with the development of the quantum mechanics theory using the quaternions with the standard basis {e, i, j, k}. The correct way for the construction of new versions of quantum mechanics on the quaternion base is discussed in the paper presented. It is realized by means of the representation of the quaternions through the basis of the linear space of complex numbers over the field of real numbers, under the multiplicative group of which the equations of the dynamics of mechanical systems are invariant. At the same time the quaternion calculus is applicable in electrodynamics, at that the new versions of quantum electrodynamics can be constructed by an infinite number of the ways corresponding to an infinite number of the matrix representations of the standard quaternion basis {e, i, j, k}. The given conclusion is the consequence of the high symmetry of Maxwell equations.

## Keywords

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## Article

# Dispersion of SH and Love Waves

^{1}Institute for Problems in Mechanics, Prosp. Vernadskogo, Moscow, Russia

*International Journal of Physics*.

**2014**, 2(5), 170-180

**DOI:**10.12691/ijp-2-5-7

**Copyright © 2014 Science and Education Publishing**

**Cite this paper:**

Sergey V. Kuznetsov. Dispersion of SH and Love Waves.

*International Journal of Physics*. 2014; 2(5):170-180. doi: 10.12691/ijp-2-5-7.

Correspondence to: Sergey V. Kuznetsov, Institute for Problems in Mechanics, Prosp. Vernadskogo, Moscow, Russia. Email: kuzn-sergey@yandex.ru

## Abstract

A mathematical model for analyzing both Love waves and horizontally polarized shear surface waves (SH-waves) propagating in stratified media with monoclinic symmetry is worked out. Analytic and numerical solutions for SH and Love waves obtained by applying the Modified Transfer Matrix (MTM) method and a special complex formalism, are presented. Displacement fields, specific energy, phase, ray, and group velocities, and dispersion curves for SH and Love waves are compared and analyzed. Plates with different types of boundary conditions imposed on the outer surfaces are considered. Behavior of the leakage Love waves and anomalous SH-waves is discussed.

## Keywords

## References

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[[4] | S.V. Kuznetsov, Subsonic Lamb waves in anisotropic plates. Quart. Appl. Math. 60 (2002) 577-587. | ||

[[5] | S.V. Kuznetsov, Love waves in stratified monoclinic media. Quart. Appl. Math. 62 (2004) 749-766. | ||

[6] | S.V. Kuznetsov, SH-waves in multilayered plates. Quart. Appl. Math. 64 (2006) 153-165. | ||

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