[22] **viXra:1912.0525 [pdf]**
*submitted on 2019-12-31 06:48:08*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 109 Pages.

In this research thesis, we have described new possible mathematical connections between the formula concerning the coefficients of the '5th order' Ramanujan’s mock theta function, the mass of mesons in string model, various parameters of Particle Physics and Cosmology.

**Category:** Mathematical Physics

[21] **viXra:1912.0511 [pdf]**
*submitted on 2019-12-30 00:19:11*

**Authors:** Moises Dominguez-Espinosa

**Comments:** 2 pages

In this paper, we build the von Klitzing formula from the stability formula that arises in the dynamic quantization model.

**Category:** Mathematical Physics

[20] **viXra:1912.0480 [pdf]**
*submitted on 2019-12-28 08:21:04*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 117 Pages.

In this research thesis, we have analyzed further Ramanujan formulas and described new possible mathematical connections with various parameters of Particle Physics, Dark Matter, Dark Energy and Cosmology

**Category:** Mathematical Physics

[19] **viXra:1912.0456 [pdf]**
*submitted on 2019-12-25 10:12:16*

**Authors:** Lucian M. Ionescu

**Comments:** 7 Pages.

The Betti-de Rham period isomorphism ("Abelian Geometry") is related to algebraic fundamental group (Anabelian Geometry), in analogy with the classical context of Hurewicz Theorem.
To investigate this idea, the article considers an
"Abstract Galois Theory", as a separated abstract structure from, yet compatible with, the Theory of Schemes, which has its historical origin in Commutative Algebra and motivation in the early stages of Algebraic Topology.
The approach to Motives via Deformation Theory was suggested by Kontsevich as early as 1999, and suggests Formal Manifolds, with local models formal pointed manifolds, as the source of motives, and perhaps a substitute for a "universal Weil cohomology".
The proposed research aims to gain additional understanding of periods via a concrete project, the discrete algebraic de Rham cohomology, a follow-up of author's previous work.
The connection with Arithmetic Gauge Theory should provide additional intuition, by looking at covering maps as flat connection spaces, and considering branching covers of the Riemann sphere as the more general case.
The research on Feynman/Veneziano Amplitudes and Gauss/Jacobi sums, allows to deepen the parallel between the continuum and discrete frameworks: an analog of Virasoro algebra in finite characteristic.
A larger project is briefly considered, consisting in deriving Motives from the Theory of Deformations, as suggested by Kontsevich.
Following Soibelman and Kontsevich, the idea of defining Formal Manifolds as groupoids of pointed formal manifolds (after Maurer-Cartan ``exponentiation''), with associated torsors as ``gluing data'' (transition functions) is suggested.
This framework seems to be compatible with the ideas from Theory of Periods, sheaf theory / etale maps and Grothedieck's development of Galois Theory (Anabelian Geometry).
The article is a preliminary evaluation of a research plan of the author. Further concrete problems are included, since they are related to the general ideas mentioned above, and especially relevant to understanding the applications to scattering amplitudes in quantum physics.

**Category:** Mathematical Physics

[18] **viXra:1912.0436 [pdf]**
*submitted on 2019-12-24 02:47:59*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 79 Pages.

In this research thesis, we have analyzed further Ramanujan formulas and described further possible mathematical connections with some parameters of Particle Physics (Yukawa’s Pion) and Cosmology, principally the value of Cosmological Constant.

**Category:** Mathematical Physics

[17] **viXra:1912.0388 [pdf]**
*submitted on 2019-12-21 03:19:07*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 97 Pages.

In this research thesis, we have analyzed further Ramanujan formulas and described further possible mathematical connections with some parameters of Particle Physics and Cosmology, principally the value of Cosmological Constant

**Category:** Mathematical Physics

[16] **viXra:1912.0364 [pdf]**
*submitted on 2019-12-19 11:08:14*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 79 Pages.

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

**Category:** Mathematical Physics

[15] **viXra:1912.0360 [pdf]**
*submitted on 2019-12-19 13:40:49*

**Authors:** Lucian M Ionescu

**Comments:** 30 Pages.

Feynman amplitudes are periods, and also coefficients of the QED partition function with a formal deformation parameter the fine structure constant $\alpha$.
Moreover, this truly fundamental mathematical constant is the ratio of magnetic (fluxon) vs. electric charge, as well as the grading of the decay lifetimes telling apart weak from strong ``interactions''.
On the other (Mathematical) hand $e$ is the ``inverse'' of $\pi$, another deformation parameter (no ordinary period), as Euler's famous identity $exp(2\pi i)=1$ suggests.
In a recent work, Atiyah related $\alpha$ and the Todd function. But Todd classes are inverses of Chern classes, suggesting further ``clues'' to look for conceptual relationships between these mathematical constants, in an attempt to catch a a Platonic and Exceptional Universe by the TOE.

**Category:** Mathematical Physics

[14] **viXra:1912.0317 [pdf]**
*submitted on 2019-12-17 06:14:28*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 176 Pages.

In this research thesis, we have analyzed further Ramanujan formulas and described other possible mathematical connections with various Cosmology parameters.

**Category:** Mathematical Physics

[13] **viXra:1912.0284 [pdf]**
*submitted on 2019-12-15 02:24:20*

**Authors:** Michele Nardelli, Antonio Nardelli

**Comments:** 110 Pages.

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

**Category:** Mathematical Physics

[12] **viXra:1912.0280 [pdf]**
*submitted on 2019-12-15 07:02:08*

**Authors:** Yahya Awad Sharif Mohammed

**Comments:** 2 Pages. Email:yahya-sharif@hotmail.com

This article aims to present a mathematical solution to the problem of light value beyond its range by using Lorentz transformation.

**Category:** Mathematical Physics

[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]**
*replaced on 2020-01-14 14:11:30*

**Authors:** Dan Visser

**Comments:** 7 Pages.

This article refers to the 5th-force fitting a new model for the universe, which is called, the Rotating Torus Hologram Universe (RTHU). In this new cosmological model the lenght-scale whereon a dark boson (X17) occurs is calculated from the perspective of negative charged quarks in the neutron of Helium4 to be affected by the dark-boson. The occurence at a scale of approximately 0,3x10^-18 meter is also correlated to experiments wherein an accelerated He4 atom decays in e+ en e- in vacuum. The reach of the dark-force-particle is also calculated and appears to be about a factor 8 larger than the emerging-scale. Moreover, the corresponding dark energy related to the X17 is calculated too. All the calculation are related to the RTHU. The exercises given here in this article are based on my earlier postulated duo-bits in order to prove the origin of the dark matter force emerges from below the Planck-boundary. Essentialy the RTHU-model generates a materialized holographic Big Bang universe. I wrote a lot of articles about that.

**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