| viXra.org > Mathematical Physics > 2101 |
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| viXra.org > Mathematical Physics > 2101 |
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[17] viXra:2101.0187 [pdf] replaced on 2021-02-02 22:44:42
Authors: Gang Chen, Tianman Chen, Tianyi Chen
Comments: 10 Pages. 1 figure.
This paper supposes that Feigenbaum constants should be rational numbers in the world of nuclides, gives their formulas in fractional number format and exhibits the physical meanings of the factors in the formulas, especially their relationships with nuclides, the fine-structure constant and 2π. This paper also supposes that there would be the third Feigenbaum constant and gives its two possible approximate values. Formulas of the fine-structure constant α1, Feigenbaum constant δ and 2π are also given, briefly to be α1δ2(2π)≈1, and their relationships with nuclides are illustrated.
Category: Mathematical Physics
[16] viXra:2101.0169 [pdf] submitted on 2021-01-28 17:26:04
Authors: K. K. D. Adjaï, E. A. Doutètien, J. Akande, M. D. Monsia
Comments: 7 pages
We study in this paper the existence of exact periodic solutions of the mixed Lienard type equations. We show for the first time the conditions to ensure the exact and explicit integrability and to obtain sinusoidal periodic solution. As a result, the equation can be used to describe harmonic and isochronous oscillations of dynamical systems.
Category: Mathematical Physics
[15] viXra:2101.0161 [pdf] submitted on 2021-01-26 09:11:42
Authors: K. K. D. Adjaï, A. B. Yessoufou, J. Akande, M. D. Monsia
Comments: 6 pages
We present in this work a remarkable dissipative Lienard type equation. We show that its periodic solution can be expressed as a sinusoidal function. As a result this equation can be used to describe harmonic and isochronous oscillations of dynamical systems.
Category: Mathematical Physics
[14] viXra:2101.0148 [pdf] replaced on 2021-05-12 10:34:19
Authors: Stephen H. Jarvis
Comments: 25 Pages.
In this paper Temporal Mechanics moves beyond the description of time-space circuits to explain the constants of energy and mass integral to those time-space circuits, and what the overall resultant manifolds are for energy and mass, from the microscopic scale to the macroscopic scale. Here the Oort Cloud derivation is accompanied by the derivation of the Heliopause and associated Bow Shock, and why they exist upon the general uniform CMBR backdrop consistent with the plane of the solar system, thereby providing a solution to the “Axis of Evil” and “Horizon” problems. With such a description, the fundamental phenomena of particle “pair production” via the EM-DIR effect (EM destructive interference resonance) is presented, accompanied by a proposed experiment to demonstrate the production of positrons and how they can be used for thrust-applications.
Category: Mathematical Physics
[13] viXra:2101.0147 [pdf] submitted on 2021-01-24 18:48:50
Authors: Wan-Chung Hu
Comments: 1 Page. [Corrections made by viXra Admin to conform with scholarly norm]
The existence and smoothness of Navier-Stokes equation is still a puzzle. I propose that space and time has smallest unit. The unit of space is called new plank volume. The unit of time is called new plank time. Due to Zeno paradox, the spacetime cannot be differentiable infinitely. Thus, space and time has smallest unit. This causes a smoothness problem of Navier-Stokes equation. Because atoms and molecules in the fluid cannot be differentiable infinitely. This implies that there is no smoothness in the Navier-Stokes equation.
Category: Mathematical Physics
[12] viXra:2101.0146 [pdf] submitted on 2021-01-24 12:57:56
Authors: J. Akande, A.V. R. Yehossou, K.K.D. Adjaï, M.D. Monsia
Comments: 13 pages
We investigate in this paper the property of Lienard type differential equations to have identical exact solutions. We establish the conditions of existence of identical exact solutions and exhibit some examples to illustrate the theory.
Category: Mathematical Physics
[11] viXra:2101.0142 [pdf] submitted on 2021-01-23 06:49:29
Authors: M. Nonti, K. K. D. Adjaï, A. B. Yessoufou, M. D. Monsia
Comments: 5 pages
We present in this paper an exceptional dissipative Lienard type equation. The equation can exhibit the sine function as exact and general solution and be made isochronous by an appropriate choice of model parameters. As a result, such a dissipative Lienard equation and the linear harmonic oscillator have identical solutions.
Category: Mathematical Physics
[10] viXra:2101.0110 [pdf] submitted on 2021-01-17 12:40:56
Authors: Abdelaziz Chahboun
Comments: 3 Pages.
Another hypothesis to explain the Michelson-Morley experiment: The dilation of the length in the direction perpendicular to the movement.
Category: Mathematical Physics
[9] viXra:2101.0092 [pdf] replaced on 2021-01-21 03:49:14
Authors: Timoteo Briet Blanes
Comments: 36 Pages.
Human beings have always felt the need to know and predict events future, using Science. Many natural phenomena are explained by numerical models; but there are as many numerical models as there are phenomena; this is problem, a big problem; ideally, many events should be explained using for this, the least amount of mathematical models.Navier Stokes equations have been used for many years to simulate fluid dynamics. There are many particular cases in which these equations describe the dynamics of various phenomena as different as economics and meteorology. Most attempts to use these equations in a variety of fields, lie in properly defining the variables involved, giving them a physical explanation. This is an exciting challenge, of course ant that, is the main goal for this article: applying these equations, for explaining the Cosmos dynamic. If we look at many natural events, we will see that they evolve as a fluid: flocks of birds, vehicular or pedestrian traffic, are typical cases of analysis, but we can also observe this dynamic in events such as the stock market, the economy or even human relations.
Category: Mathematical Physics
[8] viXra:2101.0048 [pdf] submitted on 2021-01-08 11:15:51
Authors: J. Akande, M. Nonti, E. A. Doutètien, M. D. Monsia
Comments: 7 Pages.
We exhibit in this paper a complex-valued solution for a modified Emden-type equation with quadratic damping. We show also the conditions of existence of periodic solution and calculate it for the first time.
Category: Mathematical Physics
[7] viXra:2101.0047 [pdf] submitted on 2021-01-06 17:49:49
Authors: K. K. D. Adjaï, A.V. R. Yehossou, J. Akande, M. D. Monsia
Comments: 4 pages
We study in this work the pendulum equation. We show for the first time the existence of general non-periodic solution for this equation. This comes down to say that the pendulum equation can exhibit non-oscillatory behavior.
Category: Mathematical Physics
[6] viXra:2101.0045 [pdf] submitted on 2021-01-07 02:15:07
Authors: Victor L. Mironov
Comments: 5 Pages.
We propose the system of self-consistent equations for vortex plasma in the framework of hydrodynamic two-fluid model. These equations describe both longitudinal flows and the rotation and twisting of vortex tubes taking into account internal electric and magnetic fields generated by fluctuations of plasma parameters. The main peculiarities of the proposed equations are illustrated with the analysis of electron and ion sound waves.
Category: Mathematical Physics
[5] viXra:2101.0024 [pdf] submitted on 2021-01-05 08:55:41
Authors: Y. J. F. Kpomahou, M. Nonti, A .B. Yessoufou, M. D. Monsia
Comments: 6 pages
We present in this paper a generalized Emden type equation which is explicitly integrable. We show the existence of isochronous periodic solution of the equation. As a result, such a dissipative equation may be used as a Lienard type nonlinear oscillator.
Category: Mathematical Physics
[4] viXra:2101.0022 [pdf] submitted on 2021-01-04 05:19:10
Authors: Stephen H. Jarvis
Comments: 13 Pages.
Explained here is the idea of the time-space circuit, a basic feature of how a proposed scheme of time-points interact in space with each other, taking note of their time-before, time-now, and time-after attributes in the context of an arrow of time. The explanation here also presents two associated concepts as a way to measure the overall Temporal Mechanics scheme, namely how the time-space circuit links a “time-space manifold” with a resultant “time-space constant”, here as the constant values of the vacuum energy (CMBR) and associated vacuum permittivity and permeability that are rendered through the Magnetic Quantum Shell (MQS) time-space manifold scheme, from the microscopic scale to the cosmological, here as a demonstration primarily of the time-space circuitry. This paper shall be the first of 3 papers on the Temporal Mechanics subjects respectively of “time-space circuits”, “time-space manifolds”, and then “time-space constants”.
Category: Mathematical Physics
[3] viXra:2101.0011 [pdf] submitted on 2021-01-03 08:02:47
Authors: Neil Wong
Comments: 6 Pages.
The misconception that the Earth is flat emerged in ancient times. In early Egyptian and Mesopotamian mythology, the world was portrayed as a disk floating in the ocean. Several pre-Socratic philosophers, including Thales, Leucippus and Democritus, believed the world was flat. Ironically, despite the scientific fact of Earth's sphericity, flat Earth conspiracy theories still persist nowadays and are spreading around the globe. Mike Huges, who was a well-known flat Earther, even attempted to prove the Earth is flat by launching his homemade rocket, but ended up dying tragically in a mission. In addition, many flat Earthers believe gravity is a hoax and does not exist, which disagrees with classical physics. In this article, I am going to demonstrate a flat Earth model that incorporates the effect of gravity well by replacing gravity with magnetic force, and subsequently discuss about the non-uniformity of magnetic field described by the model.
Category: Mathematical Physics
[2] viXra:2101.0010 [pdf] submitted on 2021-01-03 09:06:09
Authors: Y. J. F. Kpomahou, M. Nonti, K .K. D. Adjaï, M.D. Monsia
Comments: 4 pages
We present in this paper a quadratic Lienard type equation which is explicitly integrable. We show that it has the isochronous periodic solution of the linear harmonic oscillator.
Category: Mathematical Physics
[1] viXra:2101.0002 [pdf] submitted on 2021-01-01 09:56:53
Authors: E. A. Doutètien, A .B. Yessoufou, Y. J. F. Kpomahou, M.D. Monsia
Comments: 8 pages
We investigate a modified Emden type equation known as a Lienard type nonlinear oscillator. We show the existence of unbounded periodic solution of the equation. As a result, such an equation may exhibit bounded and unbounded periodic solutions for the same numerical values of model parameters.
Category: Mathematical Physics
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