Mathematical Physics

1901 Submissions

[10] viXra:1901.0431 [pdf] submitted on 2019-01-28 22:50:29

Generalized Fibonacci Numbers and 4k+1-Fold Symmetric Quasicrystals

Authors: Carlos Castro
Comments: 3 Pages.

Given that the two-parameter $ p, q$ quantum-calculus deformations of the integers $ [ n ]_{ p, q} = (p^n - q^n)/ ( p - q) = F_n $ coincide precisely with the Fibonacci numbers (integers), as a result of Binet's formula when $ p = \tau = { 1 + \sqrt 5 \over 2}$, $ q = { \tilde \tau} = { 1 - \sqrt 5 \over 2 }$ (Galois-conjugate pairs), we extend this result to the $generalized$ Binet's formula (corresponding to generalized Fibonacci sequences) studied by Whitford. Consequently, the Galois-conjugate pairs $ (p, q = \tilde p ) = { 1\over 2} ( 1 \pm \sqrt m ) $, in the very special case when $ m = 4 k + 1$ and square-free, generalize Binet's formula $ [ n ]_{ p, q} = G_n$ generating integer-values for the generalized Fibonacci numbers $G_n$'s. For these reasons, we expect that the two-parameter $ (p, q = \tilde p)$ quantum calculus should play an important role in the physics of quasicrystals with $4k+1$-fold rotational symmetry.
Category: Mathematical Physics

[9] viXra:1901.0421 [pdf] submitted on 2019-01-28 09:38:50

Exact Solution of Navier-Stokes Equations

Authors: Sangwha Yi
Comments: 6 Pages. Thank you for reading

In Navier-Stokes equations, we discover the exact solution by Newton potential and time-function.
Category: Mathematical Physics

[8] viXra:1901.0395 [pdf] submitted on 2019-01-27 03:43:40

Another View of the Origins of Real Space

Authors: Jan Makopa
Comments: Pages.

This present presentation further explores the nature of Norms which i proposed in part one of this title. The mathematical primacy of the Norm Wave Function forms the foundation stone for the current work and on this basis we set out to erect a formalism of how real space manifests from directional singularities (also Norms).
Category: Mathematical Physics

[7] viXra:1901.0353 [pdf] submitted on 2019-01-24 08:20:12

A Class of Singular Binomial Eigenvalue Equations

Authors: Elémawussi Apédo Doutètien, Akim Boukola Yessoufou, Kolawolé Kêgnidé Damien Adjaï, Marc Delphin Monsia
Comments: 4 pages

This paper shows that a class of binomial equation can be solved as an eigenvalue problem. The major finding is that the solution can be computed in terms of elementary functions.
Category: Mathematical Physics

[6] viXra:1901.0298 [pdf] submitted on 2019-01-19 17:56:09

Self-Organization Generates Information

Authors: Udo E. Steinemann
Comments: 17 Pages.

Self-orgnization takes place in a specific kind of dynamical systems - e.g. from physics, chemistry or biology - which operate in the view of physics far from thermo-dynamical equilibrium searching for quasi-stable internal states. Such a system can be excited by a wide range of stimuli which it accepts together with influences from outside world as compact input for an internal reflection on its complete actual situation (taking into account the system's total history and actual situation as well). The reflection informs fluently about something that has been created completely new, the system produces information in the fullest sense of the word.
Category: Mathematical Physics

[5] viXra:1901.0260 [pdf] submitted on 2019-01-17 17:12:16

The Planck-boundary Doesn't Exist

Authors: Dan Visser
Comments: 7 Pages.

My new universe-model, the RTHU, describes the holographical phase as an origin of a Big Bang-universe. This phase is wider acknowledged to exist, but the lay-out of it is nowhere described. In several of my articles I do describe that lay-out by crumbling the Planck-scale and locate it in the world of time smaller than Planck-time and duo-bits. I call that the RTHU, a new universe model. Thereby the after-glow of the Big Bang, the CMB, is no longer considered as the afterglow of the origin of the Big Bang, but considered as separate CMB-system in the RTHU, just like a galaxy or the Sun is. This opens the possibility possible to show the connection with proton-proton-reactions in the Sun, as well as neutrino-neutrino-reactions in galaxies and even duo-bits-reactions in that CMB-system. All are related to the principals of the RTHU, which means duo-bits are the building-stones of the holographical phase and vacuum-energy is variable instead of constant. In order to prove these proclamations the pure exact mass of the Big Bang-universe is needed, however, rather generated by an emergent Big Bang-universe from the RTHU than calculated by its age. In this article I did so. The mass of the emergent Big Bang-universe is 4.5334x10^53 kg instead of 5.68 x 10^53 kg published in lots of different other books or articles. Only in this way a cognitive connection with a holographical origin of the universe is proved in general.
Category: Mathematical Physics

[4] viXra:1901.0212 [pdf] replaced on 2019-01-17 10:26:56

A Class of Non-autonomous and Nonlinear Singular Liénard Equations

Authors: Akim Boukola Yessoufou, Elémawussi Apédo Doutètien, Ayéna Vignon Régis Yehossou, Marc Delphin Monsia
Comments: 5 pages

A class of non-autonomous and nonlinear singular Liénard equation is developed by nonlocal transformation of the linear harmonic oscillator equation. It is shown that it includes some Kamke equations and a nonlinear equation of the general relativity as special cases.
Category: Mathematical Physics

[3] viXra:1901.0156 [pdf] submitted on 2019-01-11 06:19:52

¿What is a Strange Attractor?

Authors: Edgar Valdebenito
Comments: 4 Pages.

This note presents a Strange Attractor
Category: Mathematical Physics

[2] viXra:1901.0151 [pdf] replaced on 2019-03-16 10:11:46

Algebraic Invariants of Gravity

Authors: Hans Detlef Hüttenbach
Comments: 9 Pages.

Newton's mechanics is simple. His equivalence principle is simple, as is the inverse square law of gravitational force. A simple theory should have simple solutions to simple models. A system of n particles, given their initial speed and positions along with their masses, is such a simple model. Yet, solving for n>2 is not simple. This paper discusses, why that is a difficult problem and what could be done to get around that problem.
Category: Mathematical Physics

[1] viXra:1901.0023 [pdf] replaced on 2019-01-02 07:33:40

Chiral Solitons: A New Approach to Solitons Over Minkowski Space

Authors: Paul Werbos
Comments: 4 Pages.

This letter proposes a new approach to the unmet challenge of plausibly modeling the electron and other elementary particles as “solitons,” as stable vortices of force fields. This is the only alternative in Minkowski space to the usual model of charged elementary particles as perfect point particles, with an infinite Coulomb energy of self repulsion [1], requiring that elaborate systems of renormalization must be added to the fundamental definition of any quantum field theory. Richard Feynmann has written: “The shell game that we play is technically called 'renormalization'. But no matter how clever the word, it is still what I would call a dippy process! Having to resort to such hocus-pocus has prevented us from proving that the theory of quantum electrodynamics is mathematically self-consistent. It's surprising that the theory still hasn't been proved self-consistent one way or the other by now; I suspect that renormalization is not mathematically legitimate”.[2] This letter first summarizes previous approaches using topological solitons, and then motivates and outlines the new approach.
Category: Mathematical Physics