[8] **viXra:1402.0176 [pdf]**
*submitted on 2014-02-28 05:27:31*

**Authors:** Vyacheslav Telnin

**Comments:** 1 Page.

The application of the (1402.0167, 1402.0170 viXra.org) to our 4 – dimensional vector space
W when M = 1, L = 2. Cobasics are chosen so that V has simple algebraic and metric tensors.

**Category:** Mathematical Physics

[7] **viXra:1402.0171 [pdf]**
*submitted on 2014-02-27 06:57:14*

**Authors:** Anamitra Palit

**Comments:** 14 Pages. This paper is of a Composite nature.I have included it in the Mathematical Physics Category

The article seeks to investigate several issues concerning the topics: Relativity, Quantum Mechanics and classical physics. The following issues have been
investigated:1)Relativity suggesting virtual particles 2) Lorentz Transformations
Suggestive of a Bypass route 3)Space getting Curved 4) On Higg’s Mechanism 5)On Tensor Equations of a Composite Nature 6) General Covariance and Tensor
Equations 7) On rocket motion 8) Newton’s Law of Gravitation in the Light of GR

**Category:** Mathematical Physics

[6] **viXra:1402.0170 [pdf]**
*submitted on 2014-02-27 07:00:01*

**Authors:** Vyacheslav Telnin

**Comments:** 2 Pages.

The definition of the algebraic tensor for vector space by using the vector
product of vectors from it’s basis. And application it to the our 4 –
dimensional space.

**Category:** Mathematical Physics

[5] **viXra:1402.0166 [pdf]**
*submitted on 2014-02-26 19:05:56*

**Authors:** Gary D. Simpson

**Comments:** 4 Pages.

The objective of this text is to present a method of using vectors and quaternions to produce Euler's Equation. The method presented uses the cross product of vectors in the j-k plane to produce the isine portion of Euler's Equation. The cosine portion of Euler's Equation is produced by the dot product of the same vectors. The method is then generalized to apply to quaternions.

**Category:** Mathematical Physics

[4] **viXra:1402.0151 [pdf]**
*replaced on 2014-05-30 23:23:06*

**Authors:** William O. Straub

**Comments:** 7 Pages. Fixed typo in Eq. 5.5

In a series of papers written over the period 1944-1948, the great Austrian physicist Erwin Schrödinger presented his ideas on symmetric and non-symmetric affine connections and their possible application to general relativity. Several of these ideas were subsequently presented in his notable 1950 book "Space-Time Structure," in which Schrödinger outlined the case for both metric and general connections, symmetric and otherwise. In the following discussion we focus on one particular connection presented by Schrödinger in that book and its relationship with the non-metricity tensor. We also discuss how this connection overcomes a problem that Hermann Weyl experienced with the connection he proposed in his failed 1918 theory of the combined gravitational-electromagnetic field. A simple physical argument is then presented demonstrating that Schrödingers’s formalism accommodates electromagnetism in a more natural way than Weyl’s theory.

**Category:** Mathematical Physics

[3] **viXra:1402.0090 [pdf]**
*submitted on 2014-02-13 19:58:42*

**Authors:** editor Florentin Smarandache

**Comments:** Pages.

In a similar way as passing from Euclidean Geometry to Non-Euclidean Geometry, we can pass from Subluminal Physics to Superluminal Physics, and further to Instantaneous Physics (instantaneous traveling). In the lights of two consecutive successful CERN experiments with superluminal particles in the Fall of 2011, we believe these two new fields of research should begin developing.
A physical law has a form in Newtonian physics, another form in the Relativity Theory, and different form at Superluminal theory, or at Instantaneous (infinite) speeds –according to the S-Denying Theory spectrum.
First, we extend physical laws and formulas to superluminal traveling and to instantaneous traveling. Afterwards, we should extend existing classical physical theories from subluminal to superluminal and instantaneous traveling.
And lately we need to find a general theory that unites all theories at: law speeds, relativistic speeds, superluminal speeds, and instantaneous speeds –as in the S-Multispace Theory.
The First International Conference on Superluminal Physics as New Fields of Research was hold at the University of New Mexico, Gallup Campus, NM 87301, USA, as an electronic conference on 2-4 July 2012.
There were seven papers selected for this volume by the following authors and coauthors: KAIZHE GUO, CHONGWU GUO, CHEN JIANGUO, DONG JINGFENG, MI HAIJIANG, CHANGWEI HU, YANG SHIJIA, GULI, and FU YUHUA.

**Category:** Mathematical Physics

[2] **viXra:1402.0054 [pdf]**
*submitted on 2014-02-07 23:50:24*

**Authors:** Temur Z. Kalanov

**Comments:** 22 Pages.

Analysis of the foundations of standard trigonometry is proposed. The unity of formal logic and of rational dialectics is methodological basis of the analysis. It is shown that the foundations of trigonometry contradict to the principles of system approach and contain formal-logical errors. The principal logical error is that the definitions of trigonometric functions represent quantitative relationships between the different qualities: between qualitative determinacy of angle and qualitative determinacy of rectilinear segments (legs) in rectangular triangle. These relationships do not satisfy the standard definition of mathematical function because there are no mathematical operations that should be carry out on qualitative determinacy of angle to obtain qualitative determinacy of legs. Therefore, the left-hand and right-hand sides of the standard mathematical definitions have no the identical sense. The logical errors determine the essence of trigonometry: standard trigonometry is a false theory.

**Category:** Mathematical Physics

[1] **viXra:1402.0050 [pdf]**
*replaced on 2014-02-23 14:13:30*

**Authors:** J. S. Markovitch

**Comments:** 3 Pages.

A special case of the cubic equation, distinguished by having an unusually economical solution, is shown to relate to both the fine structure constant inverse (approximately 137.036) and the sines squared of the quark and lepton mixing angles.

**Category:** Mathematical Physics