[6] **viXra:1410.0130 [pdf]**
*submitted on 2014-10-22 12:27:38*

**Authors:** M.E. Hassani

**Comments:** 6 Page; 2 Tables; 10 References.

In the present paper, the so-called Einstein’s causality is scrutinized and proven to be an illusion, a sort of mathematical fiction, and the causality as a well-established universal principle would be absolutely valid for
subluminal, luminal and superluminal signals under any natural and/or artificial circumstances. It is also shown that any attempt to apply special relativity theory to superluminality of physical phenomena would be a complete waste of time since this theory has the light speed in vacuum as an upper limiting speed in its proper validity domain of applications.

**Category:** Mathematical Physics

[5] **viXra:1410.0111 [pdf]**
*submitted on 2014-10-19 14:09:04*

**Authors:** Michail Zak

**Comments:** 9 Pages.

It is demonstrated that any statistics can be represented by an attractor of the solution to a corresponding system of ODE coupled with its Liouville equation. Such a non-Newtonian representation allows one to reduce foundations of statistics to better established foundations of ODE. In addition to that, evolution to the attractor reveals possible micro-mechanisms driving random events to the final distribution of the corresponding statistical law. Special attention is concentrated upon the power law and its dynamical interpretation: it is demonstrated that the underlying dynamics supports a “violent reputation” of the power-law statistics.

**Category:** Mathematical Physics

[4] **viXra:1410.0105 [pdf]**
*submitted on 2014-10-18 15:32:30*

**Authors:** Alexander Kritov

**Comments:** 6 Pages.

There are few mathematical expressions for calculation proton to electron mass ratio presented. Some of them are new and some are not. They have been analyzed in terms of their simplicity, numerical significance and precision. Expressions are listed in the structured manner with comments. The close attention should be paid to a comparison of the formula similarity via their precision. A brief review of the different attempts in similar search is given.

**Category:** Mathematical Physics

[3] **viXra:1410.0089 [pdf]**
*submitted on 2014-10-16 10:21:37*

**Authors:** Dan Visser

**Comments:** 7 Pages.

This paper describes how experimentally detected Majorana-particles fit a new cosmological theory. This theory is called the rotating Double Torus Theory (DTT). It is extensively described by a cascade of articles, which are published in the vixra-archive by the author. However, although Majorana-particles will contribute very likely to the development of stable quantum-computers in the near future, they also can be implemented in this new cosmological theory. This introduces a completely new aspect of cosmology, and despite how hard it is to get acknowledgement for the DTT, it also might contribute to the understanding of evidence that is already available for the rotation of the new universe. This paper also explains why the match of the Majorana matter-force and the DTT, leads to a principle of an anti-gravitational machine based on the control of the combination Majorana-DTT-dynamics.

**Category:** Mathematical Physics

[2] **viXra:1410.0029 [pdf]**
*submitted on 2014-10-07 05:45:04*

**Authors:** Elemer E Rosinger

**Comments:** 21 Pages.

It has for long been been overlooked that, quite easily, infinitely many {\it ultrapower} field extensions $\mathbb{F}_{\cal U}$ can be constructed for the usual field $\mathbb{R}$ of real numbers, by using only elementary algebra. This allows a simple and direct access to the benefit of both infinitely small and infinitely large scalars, {\it without} the considerable usual technical difficulties involved in setting up and then using the Transfer Principle in Nonstandard Analysis. A natural Differential and Integral Calculus - which extends the usual one on the field $\mathbb{R}$ - is set up in these fields $\mathbb{F}_{\cal U}$ without any use of the Transfer Principle in Nonstandard Analysis, or of any topological type structure. Instead, in the case of the Riemann type integrals introduced, three simple and natural axioms in Set Theory are assumed. The case when these three axioms may be inconsistent with the Zermelo-Fraenkel Set Theory is discussed in section 5.

**Category:** Mathematical Physics

[1] **viXra:1410.0005 [pdf]**
*submitted on 2014-10-02 04:51:52*

**Authors:** Elemer E Rosinger

**Comments:** 20 Pages.

Infinitely many {\it ultrapower} field extensions $\mathbb{F}_{\cal U}$ are constructed for the usual field $\mathbb{R}$ of real numbers by using only elementary algebra, thus allowing for the benefit of both infinitely small and infinitely large scalars, and doing so {\it without} the considerable usual technical difficulties involved in setting up the Transfer Principle in Nonstandard Analysis. A natural Integral Calculus - which extends the usual one on the field $\mathbb{R}$ - is set up in these fields $\mathbb{F}_{\cal U}$. A separate paper presents the same for the Differential Calculus.

**Category:** Mathematical Physics