Mathematical Physics

2108 Submissions

[11] viXra:2108.0146 [pdf] submitted on 2021-08-26 17:59:22

If Rest Is Impossible, then the Speed Must Not Depend on the Observer

Authors: Cavași Ioan Abel
Comments: 2 Pages. [Corrections made by viXra Admin to conform with scholarly norm -Please conform!]

Only regular curves have a well-defined curvature. As the rest implies the appearance of singular points, it results that in the rest the curvature is indefinite. So rest is impossible. Due to the fact that rest is impossible, it follows that the speed must be independent of the observer. I have already argued on several occasions why rest is impossible. I remind you of these arguments in more detail now, and I will draw clearer conclusions from them.
Category: Mathematical Physics

[10] viXra:2108.0111 [pdf] submitted on 2021-08-22 19:42:03

A Novel Solution for the General Diffusion

Authors: Luisiana Cundin
Comments: 8 Pages.

The Fisher-KPP equation is a reaction-diffusion equation originally proposed by Fisher to represent allele propagation in genetic hosts or population. It was also proposed by Kolmogorov for more general applications. A novel method for solving nonlinear partial differential equations is applied to produce a unique, approximate solution for the Fisher-KPP equation. Analysis proves the solution is counterintuitive. Although still satisfying the maximum principle, time dependence collapses for all time greater than zero, therefore, the solution is highly irregular and not smooth, invalidating the traveling wave approximation so often employed.
Category: Mathematical Physics

[9] viXra:2108.0103 [pdf] submitted on 2021-08-20 11:22:40

Deflection of Light by Kink Mass

Authors: Miftachul Hadi
Comments: Written in English, 2 pages, no figure.

The relation of an angle of deflection-mass is given where we replace mass with the mass of kink (anti-kink). The mass of kink (anti-kink), in turn, can be replaced with topological charge and winding number. Because mass is related with the refractive index, the angle of deflection can be formulated in relation with the decomposed form of refractive index.
Category: Mathematical Physics

[8] viXra:2108.0098 [pdf] submitted on 2021-08-19 21:07:50

Refractive Index and Mass of Kink in Curved Space

Authors: Miftachul Hadi
Comments: Written in English, 2 pages, no figure.

The proposals that mass-energy is topological charge and topological charge is winding number are given. The refractive index-mass relation using the decomposed form of refractive index is showed where we replace mass with topological charge and winding number.
Category: Mathematical Physics

[7] viXra:2108.0094 [pdf] replaced on 2021-10-07 05:02:59

Hoe Bouw je Een Universum?

Authors: J.A.J. van Leunen
Comments: 77 Pages. Dit is onderdeel van het Hilbert Book Model Project

Een universum creëren uit het niets lijkt een onmogelijke taak. Een nader onderzoek toont aan dat sommige moeilijke stappen problemen opleveren, maar de meeste stappen zijn haalbaar en realistisch. Dit document legt de realistische stappen uit en analyseert de stappen die problemen opleveren. De analyse past intensief het concept van de vectorruimte en de uitbreidingen van dit concept toe, zoals getalsystemen, de Hilbertruimte en de Hilbert-opslagplaats. De verzamelingenleer speelt een belangrijke rol bij de verkenning van het gedrag van het universum. Het artikel laat zien dat het onmogelijk is om de fysieke realiteit te begrijpen zonder deze delen van de wiskunde te begrijpen. Het artikel laat ook zien dat de genoemde wiskundige concepten nog niet volledig zijn onderzocht en mogelijk meer van de geheimen van de fysieke realiteit kunnen onthullen. Voor het begrijpen van de fysieke realiteit is het cruciaal om de verandering in het gedrag van een reeks getallen te kunnen begrijpen wanneer irrationale getallen worden toegevoegd aan de rationale getallen. Dit gebeurt in de eendimensionale reële getallen en de eendimensionale of driedimensionale ruimtelijke getallen. Het lijkt erop dat de verandering in het gedrag van ruimtelijke getallen de oorsprong van zwaartekracht verklaart. Het typische gedrag verklaart ook het bestaan van donkere energieobjecten en donkere materieobjecten.
Category: Mathematical Physics

[6] viXra:2108.0090 [pdf] submitted on 2021-08-19 03:10:47

Further Observations of Structure of a Possible Unification Algebra

Authors: Robert G Wallace
Comments: 16 Pages.

The trigintaduonion Cayley-Dickson algebra can be combined with the complexified geometric algebra of space-time to generate an algebra with features corresponding to the Clifford algebra of space-time, the complex doublet of the Higgs mechanism, three families of fundamental particles and anti-particles of the standard model, dark matter and dark energy.
Category: Mathematical Physics

[5] viXra:2108.0085 [pdf] submitted on 2021-08-17 08:31:25

Refractive Index and Mass in Curved Space

Authors: Miftachul Hadi
Comments: Written in English, 2 pages, no figure.

The refractive index-mass relation in curved space is derived using the decomposed form of refractive index. The curvature-mass relation is also showed.
Category: Mathematical Physics

[4] viXra:2108.0020 [pdf] submitted on 2021-08-06 09:49:52

Phase Transition in Econophysics

Authors: Domenico Oricchio
Comments: 2 Pages.

Thermodynamics applied to economy: phase and critical exponent. Liquid and solid economic phase with critical points.
Category: Mathematical Physics

[3] viXra:2108.0013 [pdf] replaced on 2021-09-28 09:20:33

Numerical Analysis of Micromixer Based on Microrobots

Authors: Abdurrahim Yilmaz, Ali Anil Demircali, Beste Baban, Serra Ozkasap, Yegor Samoylenko, Krishiv Chadha, Huseyin Uvet
Comments: 4 Pages.

In this study, performances of a micromixer based on microfluidics are estimated numerically. Faster and more efficient an active micromixer model that minimizes human contact was presented by making numerical calculations with basic microfluidic equations. In the model that we created, two liquids of the same type were given to the micromixer environment based on microrobotic-shaped mixer with 0.005 second steps for the 3 seconds. The concentration of the first liquid was 1 mol/m3, and the concentration of the second liquid was 5 mol/m3. As a result of mixing, the new concentration of the mixed two liquids was expected to be 3 mol/m3 at ideal conditions. According to the value calculated as a result of the simulation, the concentration of the liquid was 2.945 mol/m3. The mixing efficiency obtained from the model examined in the study was 98.181%. In order to better interpret the efficiency of the presented model, it was compared with other active micromixer models.
Category: Mathematical Physics

[2] viXra:2108.0006 [pdf] replaced on 2021-08-16 20:08:25

On the Geometrical Optics and the Atiyah-Singer Index Theorem

Authors: Miftachul Hadi
Comments: Written in English, 2 pages, no figure.

We assume that the curvature in the Atiyah-Singer index theorem is related with the Riemann-Christoffel curvature tensor where the Riemann-Christoffel curvature tensor is decomposed into the unrestricted electric (scalar) potential part and the restricted magnetic (vector) potential part. This decomposition is a consequence of the magnetic symmetry existence for the gauge potential in the geometrical optics.
Category: Mathematical Physics

[1] viXra:2108.0004 [pdf] replaced on 2021-10-07 05:00:39

How to Create a Universe

Authors: J.A.J. van Leunen
Comments: 71 Pages. This is part of the Hilbert Book Model Project

Creating a universe out of nothing seems an impossible task. A closer investigation shows that some difficult steps pose problems, but most steps are feasible and realistic. This document explains the realistic steps and analyses the steps that pose problems. The analysis intensively applies the concept of vector space and the extensions of this concept, such as number systems, the Hilbert space, and the Hilbert repository. Set theory plays an important role in the exploration of the behavior of the universe. The paper shows that it is impossible to comprehend physical reality without comprehending these parts of mathematics. The paper also shows that the mentioned mathematical concepts are not yet fully explored and might reveal more of the secrets of physical reality. For comprehending physical reality, it is crucial to be able to grasp the change in behavior of a set of numbers when irrational numbers are added to the rational numbers. This occurs in the one-dimensional real numbers and the one-dimensional or three-dimensional spatial numbers. It appears that the change in the behavior of spatial numbers explains the origin of gravity. The typical behavior also explains the existence of dark energy objects and dark matter objects.
Category: Mathematical Physics