[11] **viXra:1401.0215 [pdf]**
*replaced on 2014-04-04 09:00:16*

**Authors:** Carsten S.P. Spanheimer

**Comments:** 31 Pages.

After the concept of a locally scale-invariant spacetime has been introduced in the companion document, now physical experiments on mathematical entities will be performed to find out implications of that model.
With regard to earlier solutions by others, an unbiased inspection of different gravitational scenarios under local scale-invariance in comparison with physical reality is undertaken.
This gives five results at once: A suspected locality condition, a promising gravitational ansatz, a static solution for the gravitational potential in the subjective picture together with a possible static cosmic redshift, and a set of candidate terms for governing field equations of physical spacetime.

**Category:** Mathematical Physics

[10] **viXra:1401.0162 [pdf]**
*replaced on 2014-09-15 10:16:15*

**Authors:** Victor L. Mironov, Sergey V. Mironov

**Comments:** New version, 8 pages, 2 tables

We present an alternative type of sixteen-component hypercomplex scalar-vector values "space-time sedenions", generating associative noncommutative space-time Clifford algebra.

**Category:** Mathematical Physics

[9] **viXra:1401.0153 [pdf]**
*replaced on 2014-10-05 15:13:48*

**Authors:** Nicolas Poupart

**Comments:** 16 Pages.

This paper presents a theory of the relativistic gravitational field by simply applying Carnot's principle to the gravitation and by reinforcing as inviolable the mass-energy equivalence law and the equivalence of the inertial mass and the heavy mass. It will be shown that this theory can explain easily the origin of dark matter and dark energy. In addition, it will also be shown that this theory is not distinguishable from general relativity at our experimental scale.

**Category:** Mathematical Physics

[8] **viXra:1401.0152 [pdf]**
*replaced on 2014-10-05 15:11:01*

**Authors:** Nicolas Poupart

**Comments:** 17 Pages.

Cet article expose une théorie du champ gravitationnel relativiste en appliquant simplement le principe de Carnot à la gravitation et en considérant la loi d'équivalence masse-énergie ainsi que l'équivalence masse inertielle et masse pesante comme inviolable. Il sera démontré que cette théorie permet d'expliquer aisément l'origine de la matière noire ainsi que de l'énergie noire. De plus, il sera également démontré que cette théorie n'est pas différenciable de la relativité générale à notre échelle expérimentale.

**Category:** Mathematical Physics

[7] **viXra:1401.0145 [pdf]**
*replaced on 2014-04-28 12:50:04*

**Authors:** Dan Visser

**Comments:** 6 Pages.

The Universe rotates. We live in a Double Torus Universe. A dark matter torus rotates in a larger time torus of refined time smaller than the Planck-time. The Planck-satellite showed a more detailed picture of the CMB related to Big Bang cosmology. However, I have put that in perspective of a new set of equations that belong to the framework of the Double Torus Theory. That shows my proof for a rotational dark matter Flow by warm and cold areas in the CMB. I also explain why the accelerated space-expansion in the Big Bang cosmology is an illusion.

**Category:** Mathematical Physics

[6] **viXra:1401.0140 [pdf]**
*submitted on 2014-01-20 03:08:23*

**Authors:** Sergey Kamenshchikov

**Comments:** 6 Pages.

In the current paper Fokker Planck model of random walks has been extended to non conservative cases characterized by explicit dependence of diffusion and energy on time. A given generalization allows describing of such non equilibrium processes as Levy flights in a classical differential form without use of fractal PDE. Besides it takes into account mixing properties that are obligatory for a certain class of chaotic systems, such as Kolmogorov K – system. It was shown that an abnormal transport is a consequence of the equilibrium distortion and not stationary diffusion. The particular case of fixed boundaries was considered. According to the received solutions it was shown that a system structure can resist a weak disturbance in the vicinity of the discrete regimes, defined by a system scale and its nonlinear properties. These regimes correspond to the exponential increase of quasi regular structure fluctuations. Only fast disruption of regime is possible for other states of the system. It leads to an immediate transition to the chaos.

**Category:** Mathematical Physics

[5] **viXra:1401.0107 [pdf]**
*replaced on 2014-04-13 13:43:39*

**Authors:** Dan Visser

**Comments:** 9 Pages.

Fly-By- and GPS-satellites reveal an earth-dark matter-halo is affecting the orbit-velocities of satellites. After analysis by a new set of equations, which describe dark matter, dark matter-force and quantum-gravity combined in a new dark energy force-formula, the new formulations match a percentage whereof satellites feel extra gravity. Also the dark matter-density has been calculated. The analysis confirms dark matter exists as a halo around the earth. Secondly it shows what dark matter really is. It also shows what a dark flow is. The dark matter-features are presented in a Double Torus Cosmology, a new model for the universe, which replaces Big Bang cosmology and enables to understand dark matter better!

**Category:** Mathematical Physics

[4] **viXra:1401.0062 [pdf]**
*submitted on 2014-01-08 10:06:09*

**Authors:** Markos Georgallides

**Comments:** 26 Pages.

Primary Dipole dš = ĀB =[a ± b.i] as complex number, and z̄o =[ s, v̄n.i] = [λ ,±Λ .i ] = [λ , Λ] as
quaternion in [PNS] is the ENTITY with the embodied LAW [A , B - PA , PB ],is composed of the two only elements λ , Λ which are created from points A and B , |AB| = λ = wavelength (dipoles ) and from work W = ∫A-B [ P.ds ] = 0 = (dP.r̄) = r̄xp = I.w = [λ.p] = λ.Λ = k2 , the momentum Λ = p = k2/ λ. and Forces dP = P B –P A) ,which are the sources of Space field . Forces dP parallel to the parallel of Space Anti-Space lines [S]≡ [AS], create a Static force field E in (dP, λ) plane , and Forces dP perpendicular to the parallel of Space Anti-Space lines [S]≡[AS] , create a Static force field B which is perpendicular to E and to ( dP,λ) plane . Motion occurs from the moving charges exerted as velocity v ,created from dipole momentum ± Λ when is mapped in force field B as v E|| dP and v B dP with the generalized mass m (the reaction to the motion) which creates the component forces FE = (λm).E , FB = (λm) .v̄ x B.
Velocity vector v\ (v\ E , v\ B) is in [ v \. B \ ] plane forming an angle θ < 180° to the field B , and total force F= FE + F B = (λm). E + (λm). v̄ x B which combination of the two types result in a helical motion, with the stability demand → E = - (v̄xB) = - (v̄.B) which is the alternative conservation of momentum
[ k 2 = Λ²/2λm ] in the two perpendicular fields E , B and in case (λm) = q then force F = FE + FB = q.E + q.v̄ xB = q.[ E + v̄ x B ] → which is Lorentz force . Since Spin ( vortices) Λ , - Λ , are in inverted
order of rotation and vice-versa , then even function f(Λ) = f(-Λ) and odd function is - f(Λ) = f(-Λ) and their sum f(Λ)+f(-Λ)=0 and so, Mapping (graph) of Even function f(Λ),is always symmetrical about Λ axis or a mirror and of Odd symmetrical about the origin and is the interpretation of the Wave nature of spaces
i.e. The Physical Universe behaves as a simple harmonic oscillator . Conjugating quaternion of the
differential time operator and 3D angular speed vector w̄ with negation truth eo = [- λ,xΛ] = 0 then
( ∂/∂t ,

**Category:** Mathematical Physics

[3] **viXra:1401.0056 [pdf]**
*submitted on 2014-01-07 22:27:20*

**Authors:** Victor Christianto

**Comments:** 4 Pages. This article is not yet submitted to any journal. If you know a paper discussing similar idea, please let send to my email: victorchristianto@gmail.com

Here I describe what I can recall from a seminar held in Moscow State University, December 2008. The lecture was given by Prof. Anosov, and the title is relation between fundamental constants. In essence, he tried to describe fine structure constant from Shannon entropy.
My note book on his lecture was lost since several years ago, so this is a derivation out of my memory on that lecture. I am not aware that until now there is a paper discussing link between fine structure constant and Shannon entropy, so I hope that this short article will stimulate further discussion.

**Category:** Mathematical Physics

[2] **viXra:1401.0017 [pdf]**
*submitted on 2014-01-02 11:07:08*

**Authors:** F. F. Mende

**Comments:** 6 Pages.

Is proposed the new method of investigating the thermophysical and structural characteristics of materials and models, based on the measurement of electrostatic pour on, appearing with the heating or mechanical loads.

**Category:** Mathematical Physics

[1] **viXra:1401.0016 [pdf]**
*submitted on 2014-01-02 11:17:59*

**Authors:** Alexander C. Abad, Emmanuel A. Gonzalez, Roderick Y. Yap, L'ubomir Dorcak

**Comments:** 4 Pages.

In this short note, we present the analog realization of a fractional-order differentiator of order alpha=1/2 in 0.35um CMOS technology.

**Category:** Mathematical Physics