[17] **viXra:1609.0364 [pdf]**
*submitted on 2016-09-25 21:12:02*

**Authors:** Miguel A. Sanchez-Rey

**Comments:** 3 Pages.

At a certain point computation will initiate catastrophe. One must then impose computational factorization of variants [of stringy] in metaspace.

**Category:** Mathematical Physics

[16] **viXra:1609.0332 [pdf]**
*submitted on 2016-09-23 06:00:56*

**Authors:** Prado, Pf et al

**Comments:** 1 Page.

Addendum to hypothesis

**Category:** Mathematical Physics

[15] **viXra:1609.0302 [pdf]**
*submitted on 2016-09-20 22:49:31*

**Authors:** Lamont Williams

**Comments:** 2 Pages.

When thinking about the origin of the fine-structure constant, renowned physicist Richard Feynman speculated that it might be related to pi or the base of the natural logarithm. However, he could not envision how pi or the natural logarithm’s base could be associated with the constant. This article presents an equation that helps to address Feynman's question.

**Category:** Mathematical Physics

[14] **viXra:1609.0287 [pdf]**
*submitted on 2016-09-19 14:39:03*

**Authors:** Prado, PF et al

**Comments:** 1 Page.

Temprtive Math exploration

**Category:** Mathematical Physics

[13] **viXra:1609.0267 [pdf]**
*submitted on 2016-09-18 09:09:58*

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

**Comments:** 2 pages

The problem to solve consists of finding explicit solutions for the classical equation of motion of a particle subject to an exponential-type potential and for the quantum version.

**Category:** Mathematical Physics

[12] **viXra:1609.0261 [pdf]**
*submitted on 2016-09-17 12:07:14*

**Authors:** Vito R. D'Angelo

**Comments:** 7 Pages.

The Hertz-kilogram relationship constant, although obscure, is nonetheless a bona fide constant listed in the National Institute of Standards and Technology's (CODATA values) fundamental constants list[pg.6]. The Hertz-kilogram relationship constant is being used due to its value of (7.372497201 x10^-51 (91)) being very close to the Democritean indivisible unit, Y' (8.134865168 10^-54) It is shown that the 13/12 schematic of U-theory [2] theoretically calculates the fundamental constants within the uncertainty limits of (NIST) CODATA values [1]; utilizing twelve dimensionless constants.

**Category:** Mathematical Physics

[11] **viXra:1609.0260 [pdf]**
*submitted on 2016-09-17 08:51:16*

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

**Comments:** 5 pages

The generalized modified Emden equation also known as the generalized second order Riccati equation, is exactly solved in terms of the periodic solution of the linear harmonic oscillator. The solutions for specific values of parameters are discussed. The conditions for isochronous oscillations are also investigated.

**Category:** Mathematical Physics

[10] **viXra:1609.0247 [pdf]**
*submitted on 2016-09-16 13:54:39*

**Authors:** Prado, PF et al

**Comments:** 4 Pages.

Offers a math framework to the Perspective: Is there a structural resonant ruler in Nature? An exploratory framework to neuroscience and fundamental physics studies. Addition to Nextex set of conjectures: Version 1.0. Concluding that the resonant phenomenon probably is just the best signaling mark to the Principal phenomenon underlayered in Nature:the physical (realistic) implementation of the Fundamental theorem of Calculus or the called Theorem of Stokes.

**Category:** Mathematical Physics

[9] **viXra:1609.0239 [pdf]**
*submitted on 2016-09-15 16:32:52*

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

**Comments:** 4 pages

In this paper the qualitative properties of a family of an anharmonic oscillator equations of motion were carried out with phase portraits.

**Category:** Mathematical Physics

[8] **viXra:1609.0211 [pdf]**
*submitted on 2016-09-13 14:54:33*

**Authors:** Prado, Pf

**Comments:** 3 Pages.

Discussion on ressonance considerations about fundamental physics

**Category:** Mathematical Physics

[7] **viXra:1609.0142 [pdf]**
*submitted on 2016-09-11 12:00:21*

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

**Comments:** 3 pages

In this paper the Schrödinger equation is derived for a dynamical system with exponential-type restoring force function.

**Category:** Mathematical Physics

[6] **viXra:1609.0055 [pdf]**
*replaced on 2016-10-05 08:35:53*

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

**Comments:** 5 pages

This research work proposes a Lagrangian and Hamiltonian analysis for the unique class of position-dependent mass oscillator characterized by a harmonic periodic solution and parabolic potential energy and its inverted version admitting a position-dependent mass dynamics.

**Category:** Mathematical Physics

[5] **viXra:1609.0037 [pdf]**
*submitted on 2016-09-04 06:28:30*

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

**Comments:** 3 pages

The main objective of this paper is to propose two simple analytical linearizing transformation for determining the exact analytical harmonic periodic solution of a class of Liénard-type position-dependent mass oscillator equations. The performed exact analysis shows that both employed analytical methods are efficient to solve this class of equations.

**Category:** Mathematical Physics

[4] **viXra:1609.0036 [pdf]**
*submitted on 2016-09-03 12:10:32*

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

**Comments:** 3 pages

This paper purposes to show the existence of exact analytical solutions to a class of generalized Duffing-van der Pol and modified Emden type oscillator equations using nonlocal transformation.

**Category:** Mathematical Physics

[3] **viXra:1609.0029 [pdf]**
*submitted on 2016-09-02 15:17:50*

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

**Comments:** 3 pages

The objective in this paper is to show that the generalized Duffing-van der Pol and modified Emden type equations consist of limiting cases of the exactly integrable Monsia et al.[2] nonlinear oscillator equation by expanding the exponential-type damping and restoring forces in a Taylor series.

**Category:** Mathematical Physics

[2] **viXra:1609.0024 [pdf]**
*replaced on 2017-05-23 08:59:11*

**Authors:** Miroslav Josipović

**Comments:** 82 Pages. geometric algebra

The text is intended as some motivational survey of geometric algebra in 3D. Proofs are short and original. Multiplication of vectors is discussed in general, then basics of geometric algebra are founded. Among others, the special relativity, quantum mechanics and electromagnetic theories are discussed, operations on subspaces, dual, hyperbolic and complex numbers, linear transformations, idempotents, nilpotents, rotations, functions on multivectors, conformal model, calculus in geometric algebra, etc. Some problems are left to reader to solve. This is a new version with extended literature, software and list of names. Some typos are corrected.

**Category:** Mathematical Physics

[1] **viXra:1609.0003 [pdf]**
*submitted on 2016-09-01 08:27:12*

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

**Comments:** 2 pages

This communication consists of additions to a previous work [1]. It presents certain Liénard-type and Duffing-type nonlinear oscillators equations with exponential-type restoring force, according to the recent theory of nonlinear differential equations of position-dependent mass oscillators formulated by Monsia et al. [1].

**Category:** Mathematical Physics