[11] **viXra:1912.0258 [pdf]**
*submitted on 2019-12-13 11:03:45*

**Authors:** Antoine Balan

**Comments:** 2 pages, written in english

The Einstein-Seiberg-Witten equations are defined for a spin-c four dimensionnal manifold with riemannian metric.

**Category:** Mathematical Physics

[10] **viXra:1912.0255 [pdf]**
*submitted on 2019-12-13 01:45:19*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 21 Pages.

In this paper we have shown a possible theoretical connection between some parameters of inflationary cosmology, of particle masses (Higgs boson and Pion meson ��±) and some fundamental equations of Ramanujan’s mathematics.

**Category:** Mathematical Physics

[9] **viXra:1912.0248 [pdf]**
*submitted on 2019-12-13 04:56:26*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 172 Pages.

In this research thesis, we have described a new possible Theory of Mathematical Connections between some Ramanujan's equations and Approximations to π, the equations of Inflationary Cosmology concerning the scalar field ϕ, the Inflaton mass, the Higgs boson mass and the Pion meson π^± mass

**Category:** Mathematical Physics

[8] **viXra:1912.0230 [pdf]**
*submitted on 2019-12-12 02:12:43*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 10 Pages.

This paper is a summary of a Theory of Mathematical Connections between Ramanujan's formulas of Modular Equations and Approximations to π and the equations of Inflationary Cosmology concerning the scalar field ϕ, the Inflaton mass, the Higgs boson mass and the Pion meson π^± mass

**Category:** Mathematical Physics

[7] **viXra:1912.0197 [pdf]**
*submitted on 2019-12-09 22:23:41*

**Authors:** Makoto Itoh

**Comments:** 26 Pages.

In this paper, we propose two-dimensional autonomous cellular neural networks (CNNs), which are formed by connecting single synaptic-input CNN cells to each node of an ideal memristor grid. Our computer simulations show that the proposed two-dimensional autonomous CNNs can exhibit interesting and complex nonlinear waves. In some autonomous CNNs, we have to choose a locally active memristor grid, in order for the autonomous CNNs to exhibit the continuous evolution of nonlinear waves. Some other notable features are: The autonomous Van der Poll type CNN can exhibit various kinds of nonlinear waves by changing the characteristic curve of the nonlinear resistor in the CNN cell. Furthermore, if we choose a different step size in the numerical integration, it exhibits a different nonlinear wave. The autonomous Lotka-Volterra CNN can also exhibit various kinds of nonlinear waves by changing the initial conditions. That is, it can exhibit different response for each initial condition. Furthermore, we have to choose a passive memristor grid to avoid an overflow in the numerical integration process of this CNN. Our computer simulations show that the dynamics of the proposed autonomous CNNs are more complex than we expected.

**Category:** Mathematical Physics

[6] **viXra:1912.0088 [pdf]**
*submitted on 2019-12-05 03:12:16*

**Authors:** Giuseppe Azzarello

**Comments:** 11 Pages.

Nell’articolo precedente, sulla Teoria Simmetrica, è stato mostrato che la particella di Planck è una particella simmetrica, nella condizione di unificazione gravi-elettro-magnetica. Il dominio di questa particella è il vacuum, in cui regna accoppiata nel dipolo positivo-negativo, costituendo il medium Planck. Proseguendo la teoria, mostreremo che il medium Planck, descritto dalle unità naturali introdotte da Planck, stabilisce il quanto di entropia , conferendo un nuovo significato alla costante dei gas . Vedremo la riunificazione energetica alla scala di Planck, da cui si potranno individuare delle relazioni importanti per il proseguo, e mostreremo come il medium Planck è identificabile con il gas ideale della teoria termodinamica. Successivamente ipotizzeremo un possibile sistema termodinamico, in cui il medium Planck costituisce un cosmic background (CBPM). L’introduzione del quanto di entropia prolunga, come consequenza logica, il concetto di quantizzazione alla termodinamica, ottenendo un quadro più aderente alla realtà fisica, nella direzione della riunificazione.

**Category:** Mathematical Physics

[5] **viXra:1912.0076 [pdf]**
*submitted on 2019-12-04 04:46:56*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 123 Pages.

In this research thesis, we have described some mathematical connections between various Ramanujan’s equations, values of mass and electric charges of fundamental particles and physical data of Kerr Supermassive Black Hole M87. We have obtained some very interesting results concerning a possible mathematical unification between some sectors of particle and string physics and some sectors of black hole physics, through the use and development of some formulas discovered by S. Ramanujan

**Category:** Mathematical Physics

[4] **viXra:1912.0074 [pdf]**
*submitted on 2019-12-04 06:51:46*

**Authors:** Dan Visser

**Comments:** 6 Pages.

This article refers to a 5th-force that fits a new model for the universe: Rotating Torus Hologram Universe, abbreviated as RTHU. Thereto the scale is calculated whereon negative charged quarks in the neutron of Helium4 are affected by a dark-boson X17 being the 5th-force-particle on a scale of approximately 0,3x10^-18 meter, at the moment of He4 decay in vacuum. Simultanuously the belonging dark-force is felt at a scale of approximately 0,7 millimeter in vacuum. This follows from formules used to describe the RTHU model. However, significantly the value of the dark force also appears to be equivalent to its very small dark energy of approximately 10^-88 Joule^2. The exercises given in this article postulate a duo-bit process from below the Planckborder to be the origin of X17, dark matter-force and dark energy according to the RTHU model. That model generates a materialized holographic Big Bang universe.

**Category:** Mathematical Physics

[3] **viXra:1912.0025 [pdf]**
*submitted on 2019-12-02 14:49:00*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 100 Pages.

In this research thesis, we have analyzed further Ramanujan formulas and described new possible mathematical connections with some sectors of Particle Physics and Cosmology

**Category:** Mathematical Physics

[2] **viXra:1912.0005 [pdf]**
*replaced on 2019-12-06 02:25:29*

**Authors:** Aubery D.

**Comments:** 29 Pages.

This article traces a journey of discovery undertaken to search for wave phenomena in the incompressible Navier-Stokes equations. From the early days of my interest in Computational Fluid Dynamics (CFD) used for consulting purposes, and the use of various commercial solvers eventually leading to research programs, at a number of universities, spanning a number of years. It reviews research programs at Dortmund University
(Dortmund, Germany), and this author’s post-graduate study at Chulalongkorn University (Bangkok, Thailand). During the latter, it was noticed that flow solutions became unstable when certain combinations of parameters were used - especially when real-life density and viscosity were used. Clarity was needed. This author had a
perception that this research could lead to an understanding of the turbulence phenomenon, Tensor calculus was used to understand the macro nature of the NS Equations, and to place them firmly into the family of wave equations. My research continued in private for some 15 years, with the occasional presentation of findings
at conferences, and an internet blog. In recent months major breakthroughs have been made, and now the evidence for wave phenomena is convincingly demonstrated.

**Category:** Mathematical Physics

[1] **viXra:1912.0001 [pdf]**
*submitted on 2019-12-01 08:14:59*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 136 Pages.

In this research thesis, we have analyzed further Ramanujan formulas and described new possible mathematical connections with some sectors of Particle Physics and Cosmology

**Category:** Mathematical Physics