[6] **viXra:1611.0293 [pdf]**
*submitted on 2016-11-20 13:15:56*

**Authors:** Nicolas Poupart

**Comments:** 6 Pages.

It will be demonstrated in this paper that dark mass is a necessary consequence of the relativistic mechanics. This demonstration disregards the forces of physics and is therefore a purely mechanical explanation. The Tully-Fisher relation will be deduced naturally, without appealing to any new physics, and it is therefore possible to derive this law without modifying the Newtonian gravity or general relativity. In addition, a theoretical prediction on a new form of frequency shift will be carried out which makes it possible to refute or confirm this theory.

**Category:** Mathematical Physics

[5] **viXra:1611.0253 [pdf]**
*submitted on 2016-11-16 18:03:50*

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

**Comments:** 15 Pages.

A Guide Through Metaspace.

**Category:** Mathematical Physics

[4] **viXra:1611.0214 [pdf]**
*submitted on 2016-11-14 10:00:31*

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

**Comments:** 11 pages

A mathematical model describing the nonlinear oscillations in elastic structures is proposed. The Energy Balance Method (EBM) is applied to solve the generalized nonlinear Duffing equation obtained in absence of excitation. The numerical results show an excellent agreement with the periodic solutions obtained through the Energy Balance Method. Finally the effects of different parameters on the system behavior are studied.

**Category:** Mathematical Physics

[3] **viXra:1611.0163 [pdf]**
*submitted on 2016-11-11 08:42:21*

**Authors:** M.E. Hassani

**Comments:** 8 Pages;8 References

In 1916, Johannes Droste independently found an exact (vacuum) solution to the Einstein's (gravitational) field equations in empty space. Droste's solution is quasi-comparable to Schwarzschild's one . Droste published his paper entitled “The field of a single centre in Einstein's theory of gravitation, and the motion of a particle in that fieldˮ. The paper communicated (in the meeting of May 27, 1916) by Prof. H.A. Lorentz, and published in ʻProceedings of the Royal Netherlands Academy of Arts and Science. 19 (1): 197-215 (1917)ʼ. In the present article, the Droste's solution is scrutinized and proven to be invalid purely and simply because the procedure used by Droste is mathematically questionable since he had systematically, deliberately, and without any justification ‒removed the constant coefficient ʻ2ʼ from the differential term (v'w') in Eq.(6) and added the differential term (wv'') to the same Eq.(6) in order to obtain Eq.(7) which was and is his principal objective, that is, the desired solution. Consequently, Eqs.(6,7) had clearly been falsified.

**Category:** Mathematical Physics

[2] **viXra:1611.0162 [pdf]**
*replaced on 2017-01-13 07:30:24*

**Authors:** Biswanath Rath, Pravanjan Mallick, Jean Akande, D.K.K. Adjay, L.H. Koudahoun, Y.J.F Kpomahou, Marc D. Monsia

**Comments:** 18 pages

We generate a general model of Liénard type of second order differential equation and study
its classical solution. We also generate Hamiltonian from the differential equation and study
its stable eigenvalues.

**Category:** Mathematical Physics

[1] **viXra:1611.0146 [pdf]**
*submitted on 2016-11-11 00:07:25*

**Authors:** Biswanath Rath

**Comments:** 07 Pages. A new Eigenvalue mathod sing fractional matrix has been introduced .

A new member in Matrix representation has been introduced under
the name Fractional − Matrix and defined properly. Further we show
how one can address spectral analysis using this Fractional − Matrix.
Interesting examples have been considerd .

**Category:** Mathematical Physics