[7] **viXra:1712.0663 [pdf]**
*submitted on 2017-12-29 15:54:44*

**Authors:** Vu B Ho

**Comments:** 7 Pages.

In this work we discuss the possibility to formulate gravity as a coupling of two electromagnetic fields of equal magnitude but opposite direction.

**Category:** Mathematical Physics

[6] **viXra:1712.0594 [pdf]**
*submitted on 2017-12-24 19:34:26*

**Authors:** Harry Watson

**Comments:** 2 Pages.

We make the following Ansatz for the mass ratio of the neutron to the electron:
m_n /m_e is approx (4pi)(4pi-1/pi)(4pi-2/pi) +ln(4pi) = 1838.682763
where m_n is the neutron rest mass and m_e is the electron rest mass. The CODATA value is 1838.68366158. The neutron decays into a proton and an electron. If ln(4pi) is the neutron-proton mass difference, then m_p/m_e is (4pi)(4pi-1/pi)(4pi-2/pi), where m_p is the proton rest mass.
harry.watson@att.net

**Category:** Mathematical Physics

[5] **viXra:1712.0419 [pdf]**
*submitted on 2017-12-12 13:58:40*

**Authors:** Nikola Samardzija

**Comments:** 16 Pages. This review paper was written in 2014, and since has raised quite a few eyebrows in academia. The simplicity of the globotoroid model is far reaching, and alters some central themes in mathematics and sciences - Namely, the singularity based theories.

Mathematical models can give us invaluable insights into natural phenomena, and as such play an important role in science. The intent of this paper is to give a high-level overview of a simple continuous dynamical model that offers an insight into a qualitative behavior seldom reported or discussed. This model has no equilibrium or singular points, yet its phase space unveils four distinct topological features: a limit cycle, a torus, a sphere and a wormhole. Each of these features results from model solutions that can be periodic, quasi-periodic and chaotic, which collectively form a space-time structure referred to as the globotoroid. The model generalizes the energy behavior of many processes of interest, and consequently is reshaping contemporary systems theory to fit more completely with different natural phenomena. Specifically, the globotoroid is the simplest 3-dimensional dynamic model that exposes the concept of the wormhole, which embodies an important energy behavior throughout our universe. The fields of science that may benefit from this modeling approach are many, including physics, cosmology, biology, chemistry, engineering, cognitive sciences, economics, politics, and business and finance. This is demonstrated by reviewing some well-known phenomena in natural and social sciences.

**Category:** Mathematical Physics

[4] **viXra:1712.0404 [pdf]**
*submitted on 2017-12-13 03:42:44*

**Authors:** Vu B Ho

**Comments:** 12 Pages.

In this work, we discuss a method to derive Dirac equation and other equations, such as the Cauchy-Riemann equations, from a general system of linear first order partial differential equations, with the hope that when studied more thoroughly the general system may provide deeper insights into geometrical and topological structures of quantum particles and fields.

**Category:** Mathematical Physics

[3] **viXra:1712.0399 [pdf]**
*replaced on 2017-12-19 15:09:52*

**Authors:** D. K. K. Adjaï, J. Akande, L. H. Koudahoun, Y. J. F. Kpomahou, M. D. Monsia

**Comments:** 4 pages

This paper shows, for the first time, that the explicit and exact solution to the Troesch nonlinear two-point boundary value problem may be computed in a direct and straightforward fashion from the general solution obtained by a generalized Sundman transformation for the related differential equation, which appeared with the sinh-Poisson and Poisson-Boltzmann equations to be special cases of a more general equation. As a result, various initial and boundary value problems for these equations may be solved explicitly and exactly.

**Category:** Mathematical Physics

[2] **viXra:1712.0364 [pdf]**
*submitted on 2017-12-10 07:52:18*

**Authors:** J. Akande, Y. J. F. Kpomahou, D. K. K. Adjaï, L. H. Koudahoun, M. D. Monsia

**Comments:** 3 pages

This paper shows, for the first time, that the mathematical pendulum and generalized mathematical pendulum initial and boundary value problems may be computed from the explicit and exact general solution to the corresponding differential equation in a straightforward fashion by a direct method.

**Category:** Mathematical Physics

[1] **viXra:1712.0149 [pdf]**
*replaced on 2018-03-29 08:35:17*

**Authors:** L. H. Koudahoun, J. Akande, D.K.K. Adjaï, Y.J.F. Kpomahou, M. Nonti, M. D. Monsia

**Comments:** 8 pages

This work shows that the Bratu equation belongs to a general class of Liénard-type equations for which the general solution may be exactly and explicitly computed within the framework of the generalized Sundman transformation. In this perspective the exact solution of the Bratu nonlinear two-point boundary value problem as well as of some well-known Bratu-type problems have been determined.

**Category:** Mathematical Physics