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| viXra.org > Mathematical Physics > 2102 |
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[13] viXra:2102.0162 [pdf] replaced on 2021-04-06 10:54:41
Authors: Gang Chen, Tianman Chen, Tianyi Chen
Comments: 24 Pages.
This paper is a subsequent paper to the previous paper “Formulas of Feigenbaum Constants and Their Physical Meanings” (viXra:2101.0187). In the previous paper, some formulas of Feigenbaum constants in fractional number format were given and the physical meanings of the factors in the formulas were exhibited, especially their relationships with nuclides, the fine-structure constant and 2π. In the previous paper, some integrated formulas of the fine-structure constant, Feigenbaum constants and 2π were also given, briefly denoted as α1δ2(2π)≈1, and their relationships with nuclides were illustrated. In this paper, some formulas for α1δ2(2π)≈1 are supplemented, some formulas for α2(δα)2≈1, [α1(2π)]/(α2α2)≈1 and (2π)/α2≈1 are given, some formulas of the fine-structure constant (α1 and α2) based on the key number 103 instead of 112, 173, 137, 83 and 29 are supplemented. In the end, by introducing correction factors γ1, γ2 and γ, accurate formulas α1(δ/γ1)2(2π)=1, α2(δα/γ2)2=1 and 2π/(αγ)2=1 are gained.
Category: Mathematical Physics
[12] viXra:2102.0158 [pdf] submitted on 2021-02-25 05:23:30
Authors: J. Akande, A.V. R. Yehossou, K. K. D. Adjaï, M. D. Monsia
Comments: 8 pages
We present in this paper some interesting Lienard type equations without restoring force. We show that these equations can exhibit sinusoidal periodic solutions that can be exploited to represent harmonic and isochronous periodic oscillations in nonlinear damped dynamical systems.
Category: Mathematical Physics
[11] viXra:2102.0152 [pdf] submitted on 2021-02-23 19:58:16
Authors: Claude Michael Cassano
Comments: 16 Pages. [Corrections made by viXra Admin to conform with the requirements on the Submission Form -Please conform]
Techniques and tools for exactly solving Ricatti and Linear Ordinary and Partial Differential equations are developed from factoring method.
Therefrom, the one-space dimension the Wave and Helmholtz/Klein-Gordon equation may be factored; with example solution - leading to generalization of the Maxwell-Cassano equations of an electromagnetic-nuclear field for non-constant mass and what the general high energy Lagrangian equations really are (including Weak force, etc. equations) - guiding transformations between the general high energy Lagrangians equations in general coordinates and Cartesian coordinate PDEs.
Category: Mathematical Physics
[10] viXra:2102.0132 [pdf] submitted on 2021-02-21 20:05:33
Authors: K. K. D. Adjaï, M. Nonti, J. Akande, M. D. Monsia
Comments: 9 Pages.
We present in this contribution some exceptional Lienard type equations with only damping. We exhibit sinusoidal periodic solutions for these equations. In consequence such equations can be used to model harmonic and isochronous periodic oscillations of nonlinear damped dynamical systems.
Category: Mathematical Physics
[9] viXra:2102.0097 [pdf] submitted on 2021-02-17 07:58:20
Authors: Preobrazhenskiy Andrey
Comments: Pages.
In this paper is shown that the quantity V=∫|w(x,t)|^2dx in ℝn, n = 2 or 3, called here the vortegy, is a globally controlled scalar measure of the fluid vorticity degree. In the incompressible fluid, the physical properties of the vortegy are like the properties of energy E=1/2∫|u(x,t)|^2dx. In the inviscid fluid, the law of vortegy conservation operates, in the viscous fluid, vortegy is subject to dissipation, the law of vortegy dissipation is established. However, in contrast to the supercritical energy E (for n=3), the vortegy V is subcritical. It is also shown that when vortegy dissipation is considered, the system of generalized Helmholtz equations expresses the law of its conservation. The supercriticality paradox of the 3D Navier-Stokes equations is resolved, the impossibility of a blowup scenario for their solutions and the inevitability of such a scenario for 3D solutions of the Euler equations are shown.
Category: Mathematical Physics
[8] viXra:2102.0082 [pdf] submitted on 2021-02-15 09:15:42
Authors: J. Akande, A.V. R. Yehossou, K. K. D. Adjaï, M. D. Monsia
Comments: 10 pages
We present in this work some exceptional classes of conservative, quadratic and mixed Lienard type equations with identical exact solutions. We show that, in particular, some of these equations can exhibit the sinusoidal periodic solution of the linear harmonic oscillator. Consequently, they can be used to describe harmonic and isochronous periodic oscillations of dynamical systems.
Category: Mathematical Physics
[7] viXra:2102.0075 [pdf] submitted on 2021-02-14 20:24:04
Authors: Guillermo Ayala-Martinez
Comments: 4 Pages. Spanish [Corrections are made by viXra Admin to comply with the rules of viXra.org]
This paper explores how to solve the the Navier Stokes equations. A procedure reduces the equations to a single equation, then the reverse procedure gives the fluid motion variables.
Category: Mathematical Physics
[6] viXra:2102.0074 [pdf] submitted on 2021-02-14 17:57:20
Authors: Martin Walker
Comments: 8 Pages.
The Lie algebra associated with the Lorentz group O(3,3) is investigated. Six classes of algebras are defined. It is found that algebras in the d, s, and b classes are related to algebras in the u, c, and t classes by SU(2) × U(1) symmetry plus a rotation.
Category: Mathematical Physics
[5] viXra:2102.0053 [pdf] submitted on 2021-02-09 19:26:48
Authors: Bernd Ganter
Comments: 7 Pages. [Corrections made by viXra Admin to conform with the requirements on the Submission Form - Please conform]
This paper is about the new very precise measurement of the fine structure constant made by LKB in Paris (α = 137.035999206) and the problem of it deviating substantially from the 2018 measurement from Berkeley (α = 137.035999046).
We comment on the CODATA-values fixed by NIST from 1969 till today and compare the new value with the Ganter-prognosis for α based on information economy. (The derivation of that prognosis, α = 137.035999100, can be found on viXra:1408.0018: Bernd Ganter, Die Entschlüsselung der Feinstrukturkonstante)
Category: Mathematical Physics
[4] viXra:2102.0047 [pdf] replaced on 2021-05-16 09:35:32
Authors: Stephen H. Jarvis
Comments: 22 Pages.
Here in this third paper in a series of three papers (time-space circuits, time-space constants, and time-space manifolds), Temporal Mechanics presents the case for time-space manifolds on the macroscopic scale, correctly deriving the distance of the Heliopause, Bow Shock, and Oort Cloud from Sol as three key manifolds, while explaining the time-space circuitry involved in and between those manifolds via the required feature of the time-space constants. Subsequently, the stellar light phenomena of the Milky Way is derived and appreciated with known data, including its alignment compared to the solar system plane, and thence the phenomena of light from sources presuming to be separate and unique stars clustered as galaxies. The key feature of this theoretical process is in properly resolving the “Black Hole Information Paradox”, assigning the concept of a spacetime singularity as a Black Hole to a specific manifold, a grand manifold as what is termed here as the “Black Expanse”, or more simply the “Epoch”, a harbour of information.
Category: Mathematical Physics
[3] viXra:2102.0043 [pdf] submitted on 2021-02-07 08:49:53
Authors: J. Akande, K. K. D. Adjaï, M. Nonti, M. D. Monsia
Comments: 6 pages
We present in this paper a mixed Lienard type equation of physical importance. The equation can exhibit sinusoidal periodic solution. As a result, it can be used to model harmonic and isochronous periodic oscillations of dynamical systems.
Category: Mathematical Physics
[2] viXra:2102.0010 [pdf] submitted on 2021-02-02 17:16:21
Authors: Martin Walker
Comments: 7 Pages.
The Lie algebra of the Lorentz group O(3,3) is considered. Four classes of SO(4) subalgebras are
defined and their properties investigated.
Category: Mathematical Physics
[1] viXra:2102.0003 [pdf] replaced on 2021-02-12 14:14:53
Authors: Hans Detlef Hüttenbach
Comments: 6 Pages. correction of misspellings; included: consequenes of conservation of energy and momentum.
Defining the principle of extremal action in concise mathematical terms, it is shown that this principle does not hold what it physically promises. Instead, it is shown that Lagrange functions need to be locally integrable (in an open region of space), in order that the Lagrange equations strictly apply. The principle of extremal action therefore reduces to the condition of local integrability of the Lagrange function to a (locally defined) Hamilton-Jacobi function.
Category: Mathematical Physics
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