[11] **viXra:1511.0288 [pdf]**
*submitted on 2015-11-29 16:42:41*

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

**Comments:** 3 Pages.

Are certain variants that do not meet the EOC Guideline be included in the grand unification scheme? Can these certain variants have applications to the physical sciences even if they are not important to GRS?

**Category:** Mathematical Physics

[10] **viXra:1511.0173 [pdf]**
*submitted on 2015-11-20 03:23:37*

**Authors:** Richard L. Amoroso, Elizabeth A. Rauscher, Peter Rowlands

**Comments:** 23 Pages.

space-antispace quaternionic form and discuss various implications and applications. We note unique solutions in complex spin space. Tachyonic/tardonic signaling also appears to arise from this formalism as well as extensions to micro and macro nonlocality. Complex 8-space Dirac equation solutions exhibit additional nonlinear terms which may yield extension of the formalism from Special to General Relativity.

**Category:** Mathematical Physics

[9] **viXra:1511.0154 [pdf]**
*submitted on 2015-11-18 04:16:45*

**Authors:** Rodney Bartlett

**Comments:** 3 Pages.

This rebuttal of the multiverse hypothesis, the idea that other universes exist alongside ours, draws on mathematics' topology, or rubber-sheet geometry. The topology takes the form of electronics' binary digits (1's and 0's) composing 2 Möbius strips which are united into a figure-8 Klein bottle constituting a "sub"universe. The encoding of infinitely-long irrational and transcendental numbers like pi, e, √2 by the digits produces an infinite series of sub-universes (an infinite universe). And other subs can naturally affect our own 13.8 billion-year-old subcosmos. (“Our Mathematical Universe” by cosmologist Max Tegmark – Random House/Knopf, January 2014 believes the universe has a mathematical foundation).

**Category:** Mathematical Physics

[8] **viXra:1511.0152 [pdf]**
*submitted on 2015-11-17 16:07:44*

**Authors:** Seamus McCelt

**Comments:** 3 Pages.

This is a new type of math based on string particle lengths.

It doesn't mean everything else is incorrect, it means this can also be correct.

**Category:** Mathematical Physics

[7] **viXra:1511.0141 [pdf]**
*submitted on 2015-11-16 21:09:05*

**Authors:** Seamus McCelt

**Comments:** 2 Pages.

If you have an equation for a sphere, it is mapping out a solid sphere...

Nothing is Solid (except something like a neutron star, protons and neutrons are supposedly solid but they might just have a very loose string pack)

A "reality" math would be based on strings and commandeering sections of space.

**Category:** Mathematical Physics

[6] **viXra:1511.0094 [pdf]**
*replaced on 2015-12-04 16:30:58*

**Authors:** Sergey V. Ershkov

**Comments:** 9 Pages. Keywords: Navier-Stokes equations, non-stationary helical flow, Arnold-Beltrami-Childress (ABC) flow

In fluid mechanics, a lot of authors have been executing their researches to obtain the analytical solutions of Navier-Stokes equations, even for 3D case of compressible gas flow. But there is an essential deficiency of non-stationary solutions indeed.
In our derivation, we explore the case of non-stationary helical flow of the Navier-Stokes equations for incompressible fluids at any given initial conditions for velocity fields (it means an open choice for the space part of a solution).
Such a non-stationary helical flow is proved to be decreasing exponentially in regard to the time-parameter, the extent of time-dependent exponential component is given by the coefficient of kinematic viscosity, multiplied by the square of the coefficient of proportionality between the vorticity and velocity field.

**Category:** Mathematical Physics

[5] **viXra:1511.0088 [pdf]**
*submitted on 2015-11-11 08:41:59*

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

**Comments:** 4 Pages.

How do variants bond?

**Category:** Mathematical Physics

[4] **viXra:1511.0083 [pdf]**
*submitted on 2015-11-10 16:59:41*

**Authors:** C. A. Brannen

**Comments:** 20 Pages.

We present a new decomposition of unitary matrices particularly useful for mixing matrices. The decomposition separates the complex phase information from the mixing angle information of the matrices and leads to a new type of parameterization. We show that the mixing angle part of U(n) is equivalent to U(n-1). We give closed form parameterizations for 3x3 unitary mixing matrices (such as the CKM and MNS matrices) that treat the mixing angles equally.
We show the relationship between Berry-Pancharatnam or quantum phase and the Jarlskog invariant Jcp that gives the CP-violation in the standard model.
We established the likely existence of the new decomposition by computer simulation in 2008. Philip Gibbs proved the n=3 case in 2009 and in 2011, Samuel Lisi proved the general case using Floer theory in symplectic geometry. We give an accessible version of Lisi's proof.

**Category:** Mathematical Physics

[3] **viXra:1511.0073 [pdf]**
*submitted on 2015-11-09 23:13:27*

**Authors:** E. V. Rothstein Chan

**Comments:** 5 Pages.

The exchange integrals occur in solving for the quantum mechanical wave function using
the Schroedinger equation. r12STOmolecular deals with interelectronic distances and
STOs ( Slater type orbitals), centered at various molecular origins. STOs have a radially
dependent exponential term (multiplied by radial distance term to the power of principal
quantum number n minus one) multiplied by a spherical harmonic with quantum
numbers l and m. The small and large radial behavior differ from Gaussians. Ipython
notebook with arbitrary precision for evaluation from analytic formula is presented. This
work was undertaken to make accurate molecular computation more readily available to
other researchers.

**Category:** Mathematical Physics

[2] **viXra:1511.0050 [pdf]**
*submitted on 2015-11-06 03:59:09*

**Authors:** Fu Yuhua

**Comments:** 16 Pages.

The strict "unified theory" cannot be existed. Applying least square method, "partial and temporary unified theory of natural science so far" including all the equations of natural science so far can be established. In this way, the theory of everything to express all of natural laws, described by Hawking that a single equation could be written on a T-shirt, is partially and temporarily realized in the form of "partial and temporary unified variational principle of natural science so far". With the help of "partial and temporary unified theory of natural science so far", this paper successfully deals with some faster-than-light (FTL) problems. From a ray of light to observe another ray of light, the variation range of the speed of another light equals 0 to 2c (c=300,000 km/s). When the speed of an object is close or equal to the speed of light, for breaking the light barrier, the speed of this object could be faster than light as it passes through the Sun’s gravitational field. According to Hubble's law, the value of far away speed of a galaxy is the exponential function of time, and therefore it can be faster-than-light.
Key words: Unified theory, partial and temporary unified theory of natural science so far, partial and temporary unified variational principle of natural science so far, Hawking, T-shirt, Hubble's law, faster-than-light (FTL)

**Category:** Mathematical Physics

[1] **viXra:1511.0026 [pdf]**
*submitted on 2015-11-03 12:13:23*

**Authors:** Florentin Smarandache

**Comments:** 130 Pages.

This book is a collection of articles, notes, reviews, blogs and abstracts on Physics. Some are published for the first time here, some were previously published in journals, and revised here.
We approach a novel form of plasma, Unmatter Plasma. The electron-positron beam plasma was generated in the laboratory in the beginning of 2015. This experimental fact shows that unmatter, a new form of matter that is formed by matter and antimatter bind together (mathematically predicted a decade ago) really exists.
Further, we generalize the Lorentz Contraction Factor for the case when the lengths are moving at an oblique angle with respect to the motion direction, and show that the angles of the moving relativistic objects are distorted.
Then, using the Oblique-Length Contraction Factor, we show several trigonometric relations between distorted and original angles of moving object lengths in the Special Theory of Relativity.
We also discuss some paradoxes which we call “neutrosophic” since they are based on indeterminacy (or neutrality, i.e. neither true nor false), which is the third component in neutrosophic logic. We generalize the Venn diagram to a Neutrosophic Diagram, which deals with vague, inexact, ambiguous, ill-defined ideas, statements, notions, entities with unclear borders. We define the neutrosophic truth table, then we introduce two neutrosophic operators (neuterization and antonymization operators), and give many classes of neutrosophic paradoxes.
Other topics addressed in this book are: neutrosophic physics as a new field of research, neutrosophic numbers in physics, neutrosophic degree of paradoxicity, unparticle and unmatter, multispace and multistructure, nucleon clusters, and others.

**Category:** Mathematical Physics