# Mathematical Physics

## 1808 Submissions

 viXra:1808.0677 [pdf] replaced on 2018-10-07 12:04:39

### Algebraic Field Theory-a Mathematical Construction of the Vacuum

Authors: Robert H Ihde
Comments: 22 Pages. Some error corrections.

All algebras of quantum theory are algebras over a field or briefly K-algebras of a binary operation, which are defined as constant invariants over the Poincaré group. The Christoffel symbols occurring in the classical geodetic equation can be understood as a representation of a K-algebra. In contrary to the constant algebras of quantum theory, the K-algebra of the Christoffel symbols is a function of space-time. A mathematical, conformal unification of geometry and algebra requires a corresponding dependence on space-time for the quantum algebras. Assuming the existence of an algebraic field, based on a changing binary operation with a feedback to the domain, a quantum mechanical vacuum equation for gravity is established. The vacuum equation structurally follows a generalized, pseudo-linear Dirac-Maxwell system with additional algebraic constraints. A physical existence of the algebraic field, as the counterpart to the geometric field of gravity, can be falsified by the experiment. The part of the spin in the magnetic moment of a particle would then depend on its acceleration, since the algebraic field should influence the spin algebra accordingly.
Category: Mathematical Physics

 viXra:1808.0607 [pdf] submitted on 2018-08-27 11:21:23

### Spheroid Theory of Everything

Authors: Guy Abitbol
Comments: 116 Pages. https://www.youtube.com/watch?reload=9&v=omOlPH_4G5U

A full rational explanation of all the properties of the universe by 3 postulates (time, space, thin spheroid). This theory explains that charge is just a result of rotational motion, much as the temperature is just a result of translational motion. It explains why the speed of light is constant, what exactly are the elementary particle spins and why they have such strange properties and how entanglement form, how we can explain the huge red shift in CMB without stretching space. On the hearth of this theory lay a mathematical discovery that state that oppositely rotated spheroids attract and same rotated spheroids repel each other in an imaginary universe that contains many even thinner spheroids that translate in all directions without rotating.
Category: Mathematical Physics

 viXra:1808.0586 [pdf] replaced on 2018-09-27 16:53:39

### Quantum Particles as 3D Differentiable Manifolds

Authors: Vu B Ho
Comments: 8 Pages. This paper has been published in International Journal of Physics

As shown in our work on spacetime structures of quantum particles, Schrödinger wavefunctions in quantum mechanics can be utilised to construct the geometric structures of quantum particles which are considered to be three-dimensional differentiable manifolds. In this work we will extend this kind of geometric formulation of quantum particles by showing that wavefunctions that are normally used to describe wave phenomena in classical physics can in fact also be utilised to represent three-dimensional differentiable manifolds which in turns are identified with quantum particles. We show that such identification can be achieved by using a three-dimensional wave equation to construct three-dimensional differentiable manifolds that are embedded in a four-dimensional Euclidean space. In particular, the dual character that is resulted from the identification of a wavefunction with a three-dimensional differentiable manifold may provide a classical basis to interpret the wave-particle duality in quantum mechanics.
Category: Mathematical Physics

 viXra:1808.0579 [pdf] replaced on 2018-08-27 08:11:02

### Quantum Origin of Classical Poisson Distribution Universality

Authors: Peter Cameron
Comments: 2 Pages.

Scientists have discovered a mysterious pattern that somehow connects a bus system in Mexico and chicken eyes to quantum physics and number theory. The observed universality reveals properties for a large class of systems that are independent of the dynamical details, revealing underlying mathematical connections described by the classical Poisson distribution. This note suggests that their origin can be found in the wavefunction as modeled by the geometric interpreation of Clifford algebra.
Category: Mathematical Physics

 viXra:1808.0572 [pdf] submitted on 2018-08-26 13:25:18

### On a Singular Kamke Equation Equivalent to Linear Harmonic Oscillator

Authors: M. Nonti, A. V. Yehossou, J; Akande, M. D. Monsia
Comments: 3 pages

This paper investigates analytical properties of a singular Kamke second order equation consisting of a generalization of Kamke equation 6.110 and Kamke equation 6.111. It is shown that this equation belongs to the class of quadratic Liénard type equations closely related to the linear harmonic oscillator and introduced recently by some authors of this work. In this way, exact Kamke solutions are recovered. The connection between this equations and the linear harmonic oscillator shows its possible use in mechanical vibrations study and quantum mechanics.
Category: Mathematical Physics

 viXra:1808.0525 [pdf] submitted on 2018-08-22 06:01:54

### Navier-Stokes Three Dimensional Equations General Periodic Solutions for a given Periodic Initial Velocity Vector Field for Incompressible Fluid with Positive Viscosity

Authors: Biruk Alemayehu Petros
Comments: 6 Pages. millenium prize problem counter example

The existence of smooth periodic solutions for Navier-Stokes three dimensional equations for a given periodic initial velocity vector field with positive viscosity is proved. The equation is solved by considering Fourier series representation of periodic initial velocity vector fields and predicting the velocity vector field at all times. The solution discovered here can also be used as counter example for clay mathematics millennium prize problem.
Category: Mathematical Physics

 viXra:1808.0521 [pdf] replaced on 2018-08-26 15:05:35

### Developing a New Space over Deterministic Imaginary Time

Authors: Mesut Kavak
Comments: 4 Pages.

In a day from days, when the famous x is lengthened to x_2 and lost its virginity... Hey-o! Here comes the danger up in this club again. Listen up! Here's the story about a little guy, that lives in a dark world and uses power of wisdom as a torch to find way in darkness; and all day and all night and everything he sees is just illusion. I have been working about the laws of existence for a time. I developed new formulas which were based on a strong mechanism over philosophical hypotheses. Nobody can answer easily; but I thought many times better mathematical infrastructure. Actually at the beginning, I noticed, that a fixed observer does observation of moving bodies being the bodies do a circular motion because of emerging and changing angles over time even if the objects move parallel manner relatively to the observer at that time . This would not happen accidentally even if abstract math says, nothing is going to change. Eureka! Finally while I was in a cafe today, I remembered and developed in a few hours a new method on some note papers which I demanded from cafe to explain existence, and thereupon I asked to my friends for leave, and I am writing towards morning in the name of giving a shoulder to the tired giants. The ancients smile on me!
Category: Mathematical Physics

 viXra:1808.0513 [pdf] submitted on 2018-08-22 17:47:20

### Exposition of Various Potential Research Topics

Authors: Peter Bissonnet
Comments: 9 Pages.

The intent of this paper is to present hopefully new and fruitful topic areas for current and future research. 1. Is dark matter and dark energy really caused by strange new particles or something else? 2. Normal surface geometry in differential geometry is built upon what is called the Symmetric Coefficient of the Second Fundamental Form. Is there such a thing as the Asymmetric Coefficient of the Second Fundamental Form? 3. Is it possible to have one equation which will give the basic intrinsic spin values? 4. Is it possible to derive a generalized transport flux using the Fokker-Planck equation? 5. Does the weak interaction harbor a powerful energy source? 6. Could the predicted fading of the earth’s magnetic field lead to another ice age? What really is lightning?
Category: Mathematical Physics

 viXra:1808.0378 [pdf] submitted on 2018-08-20 10:31:26

### Mnozenje Vektora I Struktura 3D Euklidskog Prostora_Erratum

Authors: Miroslav Josipović
Comments: 1 Page.

Error on page 48.
Category: Mathematical Physics

 viXra:1808.0377 [pdf] submitted on 2018-08-20 10:32:26

### Multiplication of Vectors and Structure of 3D Euclidean Space_Erratum

Authors: Miroslav Josipović
Comments: 1 Page.

Error on the page 49.
Category: Mathematical Physics

 viXra:1808.0181 [pdf] replaced on 2018-10-28 23:30:57

### Turbulence in Fluid Flow Analyzed Simply

Authors: A. A. Frempong
Comments: 5 Pages. Copyright © by A. A. Frempong

The fluid flow in the Navier-Stokes solution may be characterized as follows. The x-direction solution consists of linear, parabolic, and hyperbolic terms. The first three terms characterize polynomial parabolas. The characteristic curve for the integral of the x-nonlinear term is a radical parabola. The integral of the y-nonlinear term is similar parabolically to that of the x-nonlinear term. The integral of the z-nonlinear term is a combination of two radical parabolas and a hyperbola. The linear terms and the polynomial parabolas are involved in laminar flow. It is illustrated that the linear terms, the polynomial parabolas, the radical parabolas and the hyperbola branches are all involved in turbulent flow,
Category: Mathematical Physics

 viXra:1808.0144 [pdf] submitted on 2018-08-12 06:03:49

### On the Geometric Structure of the Spatiotemporal Manifold

Authors: Vu B Ho
Comments: 18 Pages.

In this work we will discuss the geometric structure of the spatiotemporal manifold which appears apparently as a multiverse whose intrinsic geometric structures will be shown to be resulted from geometric interactions between space and time. The geometric and topological structures of the total spatiotemporal manifold are formed from the geometric interactions of the decomposed cells from the base space of the total spatiotemporal manifold which is considered as a fiber bundle. In particular we will discuss in details spacetime which has the mathematical structure of a 6-sphere bundle in which the dynamics of the fibers is resulted from the geometric interactions of different types of decomposed cells that give rise to various relationships between space and time. We also show that the concept of the spatiotemporal manifold being viewed as a multiverse endowed with the structure of a CW complex was in fact suggested by Newton himself in his book Opticks. In Newton’s multiverse, the expansion of space can be seen as a geometric evolution which redistributes to smooth out irregularities of the spatiotemporal manifold.
Category: Mathematical Physics

 viXra:1808.0107 [pdf] submitted on 2018-08-08 11:39:58

### Mapping the Fourfold H4 600-Cells Emerging from E8: a Mathematical and Visual Study

Authors: J Gregory Moxness
Comments: 18 Pages.

It is widely known that the E8 polytope can be folded into two Golden Ratio (Phi) scaled copies of the 4 dimensional (4D) 120 vertex 720 edge H4 600-cell. While folding an 8D object into a 4D one is done by applying the dot product of each vertex to a 4x8 folding matrix, we use an 8x8 rotation matrix to produce four 4D copies of H4 600-cells, with the original two left side scaled 4D copies related to the two right side 4D copies in a very specific way. This paper will describe and visualize in detail the specific symmetry relationships which emerge from that rotation of E8 and the emergent fourfold copies of H4. It will also introduce a projection basis using the Icosahedron found within the 8x8 rotation matrix. It will complete the detail for constructing E8 from the 3D Platonic solids, Icosians, and the 4D H4 600-cell. Eight pairs of Phi scaled concentric Platonic solids are identified directly using the sorted and grouped 3D projected vertex norms present within E8.
Category: Mathematical Physics

 viXra:1808.0089 [pdf] submitted on 2018-08-07 18:13:31

### Inertial Beam Thermonuclear AB Reactor

Authors: Alexander Bolonkin
Comments: 10 Pages.

Author offers a new impulse beam hole thermonuclear reactor. Reactor has the following features: one has a power high-current pulse ion accelerator using the thermonuclear fuel (for example, Deuterium) as ions. Accelerator focuses the ion beam into very small focus. The very small fuel capsule covered by shell from heavy and strong elements. The shell has a small hole for fuel beam from accelerator. The capsule contains a solid fuel (example, LiD). The theory and computation give conditions when will be ignition and developing the high intensity thermonuclear reaction. The suggested reactor is small, non-expensive and allows to make small engines.
Category: Mathematical Physics