Mathematical Physics

1801 Submissions

[16] viXra:1801.0417 [pdf] submitted on 2018-01-30 09:07:40

On the Concept of Representations of Prime Numbers and Prime Products

Authors: Peter Bissonnet
Comments: 11 Pages.

The author used to think that the only representation of prime numbers, etc. was the prime number double helix representation. However, in 2011, the author published a paper which puzzled him and it eventually dawned upon him that there was more than one representation of prime numbers. The second representation will be referred to as the hyperbolic representation. The third representation will be called the parabolic representation and is related to the hyperbolic representation. The fourth representation is the triangular representation and is related to the hyperbolic representation. Both of the primary representations, the double helix and the hyperbolic both reject that 2 and 3 are prime numbers. The hyperbolic representation is shown to be related to Lorentz-like transformations.
Category: Mathematical Physics

[15] viXra:1801.0287 [pdf] replaced on 2018-05-01 12:35:58

On Huygens' Principle, Extinction Theorem, and Equivalence Principle — Part II: Metal-Material Combined System in Inhomogeneous Anisotropic Environment

Authors: Renzun Lian
Comments: 15 Pages.

In this paper, we generalize Huygens' principle (HP), extinction theorem (ET), and Franz-Harrington formulation (FHF) in two parts. In Part I, the traditional HP, ET, and FHF in homogeneous isotropic environment are generalized to inhomogeneous anisotropic lossy environment; the traditional FHF of homogeneous isotropic material system is generalized to inhomogeneous anisotropic lossy material system and then to piecewise inhomogeneous anisotropic lossy material system; the traditional HP, ET, and FHF of simply connected material system are generalized to multiply connected system and then to non-connected system; the traditional FHF of external scattering field and internal total field are generalized to internal scattering field and internal incident field. In Part I, it is proved that the generalized HP (GHP) and generalized ET (GET) are equivalent to each other; the GHP, GET, and generalized FHF (GFHF) satisfy so-called topological additivity, i.e., the GHP/GET/GFHF of whole electromagnetic (EM) system equals to the superposition of the GHP/GET/GFHF corresponding to all sub-systems. In this Part II, the above results obtained in previous Part I, which focuses on the EM system constructed by material bodies, are further generalized to the metal-material combined EM system in inhomogeneous anisotropic lossy environment, and traditional surface equivalence principle is generalized to line-surface equivalence principle.
Category: Mathematical Physics

[14] viXra:1801.0268 [pdf] submitted on 2018-01-22 00:27:33

The Euler – Mascheroni Constant and Its Application in Physical Research

Authors: Miroslav Súkeník, Jozef Šima
Comments: 3 Pages. No comment

The paper covers applicability areas of the Euler – Mascheroni constant in General Theory of Relativity and Quantum Theory.
Category: Mathematical Physics

[13] viXra:1801.0267 [pdf] submitted on 2018-01-22 01:55:25

Example. Calculation of the Lok Energy (1,0).

Authors: Alexander Dubinyansky, Pavel Churlyaev.
Comments: 4 Pages. dubinyansky@mail.ru

A formula is obtained that relates the mass (energy) of a lok (1,0) with the parameters of the elasticity of a Gukuum.
Category: Mathematical Physics

[12] viXra:1801.0266 [pdf] replaced on 2018-04-30 10:04:14

On Huygens' Principle, Extinction Theorem, and Equivalence Principle — Part I: Inhomogeneous Anisotropic Material System in Inhomogeneous Anisotropic Environment

Authors: Renzun Lian
Comments: 21 Pages.

Huygens' principle (HP), extinction theorem (ET), and Franz's / Franz-Harrington formulation (FHF, which is a mathematical expression of surface equivalence principle) are the important components of electromagnetic (EM) theory, and they are generalized from the following aspects. 1) Traditional HP, ET, and FHF in homogeneous isotropic environment are generalized to inhomogeneous anisotropic lossy environment. 2) Traditional FHF for homogeneous isotropic material system is generalized to inhomogeneous anisotropic lossy material system in this Part I, and will be further generalized to metal-material combined system in future Part II. 3) The Huygens' surface in traditional HP and ET is a single closed surface. In Part I, it is generalized to the "Huygens' surface" which is constructed by multiple closed surfaces. In Part II, it will be further generalized to the "Huygens' boundary" which includes some lines and open surfaces. 4) For a material body, traditional FHF has only ability to express the external scattering field and the internal total field (the summation of scattering and incident fields) in terms of the equivalent sources on material boundary, and it is generalized to formulating the internal scattering and incident fields in this paper. In addition, the relationships among HP, ET, and FHF are studied, and it is proved that HP and ET are equivalent to each other.
Category: Mathematical Physics

[11] viXra:1801.0258 [pdf] submitted on 2018-01-20 09:33:26

Formula for the Total Energy in the Lok.

Authors: Alexander Dubinyansky, Pavel Churlyaev.
Comments: 6 Pages. dubinyansky@mail.ru

A theoretical calculation is made of the total energy of the wave vortex in a vacuum, for the general case.
Category: Mathematical Physics

[10] viXra:1801.0240 [pdf] submitted on 2018-01-19 10:26:34

Three Classes of Localized Spherical Solutions and Three Classes of Cylindrical Solutions.

Authors: Alexander Dubinyansky, Pavel Churlyaev.
Comments: 9 Pages. dubinyansky@mail.ru

Some solutions of the wave equation in gukuum, possibly creating the whole variety of matter.
Category: Mathematical Physics

[9] viXra:1801.0232 [pdf] submitted on 2018-01-18 05:29:53

Concepts and Definitions of the Theory of Gukuum.

Authors: Alexander Dubinyansky, Pavel Churlyaev.
Comments: 8 Pages. Details on the site http://universe100.narod.ru/

The beginning of a more rigorous exposition of the theory of the elastic universe.
Category: Mathematical Physics

[8] viXra:1801.0197 [pdf] submitted on 2018-01-16 05:17:24

The Law of Stratification in Wave Vortices.

Authors: Alexander Dubinyansky, Pavel Churlyaev.
Comments: 5 Pages. Russian: http://universe100.narod.ru/ English: http://universe100.narod.ru/002-Oglavlenie-angl-jpg.html dubinyansky@mail.ru

In the wave vortices, the energy is capable of winding itself onto itself and at the same time being redistributed.
Category: Mathematical Physics

[7] viXra:1801.0163 [pdf] submitted on 2018-01-15 04:26:21

The Hypothesis of an Elastic Universe.

Authors: Alexander Dubinyansky, Pavel Churlyaev.
Comments: 7 Pages. site http://universe100.narod.ru/index.html

The hypothesis is stated that the whole variety of the material world, the whole variety of elementary particles, the whole variety of physics, can be explained by localized solutions of the three-dimensional wave equation in the elastic continuum.
Category: Mathematical Physics

[6] viXra:1801.0162 [pdf] submitted on 2018-01-14 05:28:47

The Universe is Arranged Very Simply.

Authors: Alexander Dubinyansky, Pavel Churlyaev.
Comments: 1 Page. Details on the site http://universe100.narod.ru/

The universe is a solid elastic continuum - gukuum. This continuum does not contain any numerical parameters or constraints. All visible and invisible objects of the universe, from large to small, are wave objects in this continuum. All the wave objects in the gukuum are described by the letter specification of the elasticity parameters of the solid body and the three-dimensional wave equation. The nonlinearity that exists in the universe is explained by the law of "winding the linear solution on itself." As a result of such winding, or layering, the linear solution becomes non-linear and creates the entire variety of the material world.
Category: Mathematical Physics

[5] viXra:1801.0079 [pdf] submitted on 2018-01-07 05:41:04

Electromagnetic Bullet and Shot Gun Shell

Authors: Ricardo Gil
Comments: 1 Page. All these items are off the shelf items. Try them and upload a comment with results.

The objective of this paper is to suggest that bullet with a watch battery on it(superglue them on) will have reduced mass and travel more efficiently. Place them in a conventional revolver and in a conventional shot gun.(single or double barrel)
Category: Mathematical Physics

[4] viXra:1801.0066 [pdf] replaced on 2018-01-06 13:41:52

The Brighter Sides of Gravity

Authors: Hans Detlef Hüttenbach
Comments: 5 Pages. minor correction - as always..

This paper is an appendix to the article "From Bernoulli to Laplace and Beyond" (refenced below), and discusses different aspects of it: electromagnetism, field tensors, general relativity, and probability.
Category: Mathematical Physics

[3] viXra:1801.0047 [pdf] replaced on 2018-05-07 23:52:44

A Multiresolution Triangular Plate-Bending Element Method

Authors: YiMing Xia
Comments: 21 Pages. Spit-Full node innovative notion is presented;The tradditional discretized model is repaced by the integrated; The rational MRA concept togather with the RL is constructed;The RL defines a uniform node distribution pattern over a structural domain.

A triangular plate-bending element with a new multi-resolution analysis (MRA) is proposed and a novel multiresolution element method is hence presented. The MRA framework is formulated out of a displacement subspace sequence whose basis functions are built out of scaling and shifting on the element domain of basic full node shape function. The basic full node shape function is constructed by means of extending the shape function triangle domain for a split node at the zero coordinates to the hexagon area enclosing the zero coordinates. As a result, a new split-full node notion is presented and a novel rational MRA concept together with the resolution level (RL) is constituted for the element. Via practical examples, it is found that the traditional triangular plate element and method is a mono-resolution one and also a special case of the proposed element and method. The meshing for the monoresolution plate element model is based on the empiricism while the RL adjusting for the multiresolution is laid on the rigorous mathematical basis. The analysis clarity of a plate structure is actually determined by the RL, not by the mesh. Thus, the accuracy of a structural analysis is replaced by the clarity, the irrational MRA by the rational and the mesh model by the RL that is the discretized model by the integrated. The continuous full node shape function unveils secrets behind assembling artificially of node-related items in global matrix formation by the conventional FEM.
Category: Mathematical Physics

[2] viXra:1801.0036 [pdf] submitted on 2018-01-03 16:51:21

4 Dark Matter and or Dark Energy Papers and 1 Light Theory Paper

Authors: Ricardo Gil
Comments: 3 Pages. MIT unknowingly has a dark matter quantum computer. This is the topological computer Krysta Svore is working on at Microsoft but Peter Shor at MIT has unknowingly achieved the dark matter quantum computer that has time reversal. Ref: Hooft,Wilzek.MIT.

The purpose of these 5 papers(paragraphs) is to share my thoughts on Dark Matter, Dark Energy and my observation on Light Theory with respect to different gravities.
Category: Mathematical Physics

[1] viXra:1801.0025 [pdf] replaced on 2018-02-28 10:47:53

From Bernoulli to Laplace and Beyond

Authors: Hans Detlef Hüttenbach
Comments: 8 Pages. Left out background information, tried to increase focus on gravity itself. Corrected misprints.

Reviewing Laplace's equation of gravitation from the perspective of D. Bernoulli, known as Poisson-equation, it will be shown that Laplace's equation tacitly assumes the temperature T of the mass system to be approximately 0 degrees of Kelvin. For temperatures greater zero, the gravitational field will have to be given an additive correctional field. Now, temperature is intimately related to the heat, and heat is known to be radiated as an electromagnetic field. It is shown to take two things in order to get at the gravitational field in the low temperature limit: the total square energy density of the source in space-time and a (massless) field, which expresses the equivalence of inert and gravitational mass/energy in a quadratic, Lorentz-invariant form. This field not only necessarily must include electromagnetic interaction, it also will be seen to behave like it.
Category: Mathematical Physics