| viXra.org > Mathematical Physics > 2104 |
 |
 |
| viXra.org > Mathematical Physics > 2104 |
|
|
[13] viXra:2104.0188 [pdf] replaced on 2022-01-20 21:30:39
Authors: Miftachul Hadi
Comments: Written in English, 6 pages, no figure.
We show that there exists a magnetic monopole in the $U(1)$ geometrical optics as a consequence of the magnetic symmetry in a $(4+d)$-dimensional unified space where the magnetic symmetry is a consequence of the extra internal symmetry. This magnetic symmetry restricts the gauge potential. The restricted (decomposed) gauge potential is made of the scalar potential as the unrestricted electric part and the vector potential as the restricted magnetic part. We also show that the refractive indices can be formulated in relation to the decomposed gauge potential. We treat the curvature in the curvature-refractive index relation of the $U(1)$ geometrical optics as an Abelian curvature form in the fibre bundle.
Category: Mathematical Physics
[12] viXra:2104.0183 [pdf] submitted on 2021-04-30 11:21:31
Authors: Aloys J. Sipers, Joh. J. Sauren
Comments: 12 Pages.
In this paper we apply the theory of two-ports to present and to proof two real-valued theorems and two complex-valued theorems on the difference in electrical power of an unloaded and a loaded circuit driven by a voltage source or a current source, respectively.
Category: Mathematical Physics
[11] viXra:2104.0163 [pdf] replaced on 2021-05-02 14:10:01
Authors: Eryk Kersting, Nicholas Kersting
Comments: 16 Pages. Added figures and some commentary
For a typically 2D distributed crowd of viewers all trying to get a line-of-sight (LOS) to the same object, the close-packed distribution favors only the few closest viewers who inadvertently occlude the line-of-sight (LOS) for the rest of the group stuck behind them. In this paper we study optimal arrangements of the viewers which guarantee everyone gets a LOS. We discuss analytical solutions and numerical simulations for N viewers of both the point-like as well as the extended line-like central object, suggesting applications ranging from focusing power sources to waiting at the airport baggage claim.
Category: Mathematical Physics
[10] viXra:2104.0139 [pdf] replaced on 2021-05-16 07:18:41
Authors: Ervin Goldfain
Comments: 15 Pages.
As paradigm of complex behavior, multifractals describe the underlying geometry of self-similar objects or processes. Building on the connection between entropy and multifractals, we speculate here that the generalized dimension of geodesic trajectories in General Relativity recovers the four-dimensionality of classical spacetime.
Category: Mathematical Physics
[9] viXra:2104.0135 [pdf] submitted on 2021-04-22 01:44:04
Authors: Debasis Biswas
Comments: 5 Pages.
In this work we find invariants of one dimensional dissipative harmonic oscillator from an elementary ansatz. It is shown that an elementary ansatz along with symmetry consideration yields new invariants of one dimensional dissipative harmonic oscillator.
Category: Mathematical Physics
[8] viXra:2104.0117 [pdf] submitted on 2021-04-19 20:41:27
Authors: A.N. Tarakanov
Comments: 5 Pages. Russian
Исходя из движения материальной точки по траектории в многомерном пространстве, рассматриваются все возможные геометрии такого пространства.
Based on the movement of a material point along a trajectory in a multi-dimensional space, all possible geometries of such a space are considered.[7] viXra:2104.0115 [pdf] submitted on 2021-04-19 05:58:40
Authors: Alexander N. Tarakanov
Comments: 5 Pages.
Based on the movement of a material point along a trajectory in a multi-dimensional space, all possible geometries of such a space are considered.
Category: Mathematical Physics
[6] viXra:2104.0096 [pdf] submitted on 2021-04-16 21:27:47
Authors: Vitalii Budarin
Comments: 13 Pages. Using the example of the Navier-Stokes equation
This paper has analyzed the equation of motion in terms of stresses (Navier), as well as its two special cases for an incompressible viscous current. One is the Stokes (Navier-Stokes) equation, and the other was derived with fewer restrictions. It has been shown that the Laplace equation in terms of linear velocity can
be represented as a function of two variables ‒ the linear and angular speed of particle rotation.
To describe the particle acceleration, all motion equations employed a complete derivative from speed in the Gromeka-Lamb form, which depends on the same variables. Taking into consideration the joint influence of linear and angular velocity allows solving a task of the analytical description of a turbulent current within the average model. A given method of analysis applies
the provision of general physics that examines the translational and rotational motion. The third type of mechanical movement, oscillatory (pulsation), was not considered in the current work. The Stokes and Navier equations were used to solve two one-dimensional problems, which found the distribution of speed along the normal to the surface at the current flow on a horizontal plate and in a circular pipe. Both solution methods produce the same result. No solution for the distribution of speed along the normal to the surface in a laminar sublayer could be found. A relevant task related to the mathematical
part is to solve the problem of closing the equations considered. A comparison of the theoretical and empirical equations has been performed, which has made it possible to justify the assumption that a rarefied gas is the Stokes liquid.
Category: Mathematical Physics
[5] viXra:2104.0095 [pdf] replaced on 2021-07-11 12:55:20
Authors: Debasis Biswas
Comments: 5 Pages.
In this paper two proofs of Riemann Hypothesis equivalent will be given. One equivalent is due to Balazard-Saias-Yor and another equivalent is due to Sondow-Dumitrescu.
Category: Mathematical Physics
[4] viXra:2104.0075 [pdf] submitted on 2021-04-12 21:55:28
Authors: Jian-Zhou Zhu
Comments: 12 Pages.
A two-component-two-dimensional coupled with one-component-three-dimensional (2C2Dcw1C3D) flow may also be called a real Schur flow (RSF), as its velocity gradient is uniformly of real Schur form. The thermodynamic and ‘vortic’ fine structures of 2C2Dcw1C3D flows are exposed and, in particular, the Lie invariances of the decomposed vorticity 2-forms of RSFs in d-dimensional Euclidean space E d for any interger d ≥ 3 are also proved.
The two Helmholtz theorems of the complementary components of vorticity found recently in 3-space RSF is not coincidental, but underlied by a gen-
eral decomposition theorem, thus essential. Many Lie-invariant fine results, such as those of the combinations of the entropic and vortic quantities, including the invariances of the decomposed Ertel potential vorticit 3-formsy
(and their multiplications by any interger powers of entropy), then follow.
Category: Mathematical Physics
[3] viXra:2104.0017 [pdf] submitted on 2021-04-04 20:11:03
Authors: Putenikhin P.V.
Comments: 56 Pages. [Corrections made by viXra Admin to conform with the requirements on the Submission Form]
The mistakes of Cantor and his followers in logical reasoning about infinite sets are revealed. The proof of the countability of the continuum, the countability of all real numbers is given. The erroneousness of reasoning in the problem of "Hilbert's Hotel" is shown.
Вскрыты ошибки Кантора и его последователей в логических рассуждениях о бесконечных множествах. Приведено доказательство счетности континуума, счетности всех действительных чисел. Показана ошибочность рассуждений в задаче об "Отеле[2] viXra:2104.0013 [pdf] submitted on 2021-04-03 00:45:34
Authors: Debasis Biswas
Comments: Copyright: Author. Two pages.
In this paper a new proof of positivity criteria of even order derivatives of ξ(s) will be given using analytical expression of Riemann Xi function ξ(s).
Category: Mathematical Physics
[1] viXra:2104.0011 [pdf] submitted on 2021-04-03 04:21:52
Authors: Miroslav Pardy
Comments: 14 Pages. original article
The Euler tetrahedron volume formula is used to
define dimensionality of
space and the Euclidean straight line and area. The double disk modul (DDM)
is used to define trajectories on the metrical surfaces.
The relations of generalized Lobachevskii geometry are derived and related to
the Einstein equations. It is considered spherical and pseudospherical geometry,
Riemann geometry, Lobachevskii and generalized Lobachevskii geometry, Poincare
model, Beltrami model, gravity as deformation of space and Schwinger theory of
gravity.
Category: Mathematical Physics
| Third-Party Links: |
|