[12] **viXra:1505.0217 [pdf]**
*submitted on 2015-05-29 02:07:15*

**Authors:** Tomasz Liskowacki, Andrzej Okninski

**Comments:** 5 Pages.

In the present work approximate formula for periodic windows of the logistic map is derived.

**Category:** Mathematical Physics

[11] **viXra:1505.0201 [pdf]**
*replaced on 2015-05-29 09:06:43*

**Authors:** Florentin Smarandache

**Comments:** 3 Pages.

Unmmatter Plasma is a novel form of plasma, exclusively made of matter and its antimatter counterpart. It was first generated in the 2015 experiment [1, 2] based on the 2004 considerations [3].
Unmatter is formed by combinations of matter and antimatter that bound together, or by
long-range mixture of matter and antimatter forming a weakly-coupled phase.

**Category:** Mathematical Physics

[10] **viXra:1505.0184 [pdf]**
*replaced on 2015-07-24 12:21:44*

**Authors:** Valdir Monteiro dos Santos Godoi

**Comments:** 12 Pages.

We have proved in a few lines that there are initial velocities u^0 (x) and forces F(x,t) such that there is no solution to the Navier-Stokes equations, which corresponds to the cases (C) and (D) of the problem relating to Navier-Stokes equations available on the website of the Clay Institute.

**Category:** Mathematical Physics

[9] **viXra:1505.0141 [pdf]**
*replaced on 2015-07-16 11:35:19*

**Authors:** Hans Detlef Hüttenbach

**Comments:** 7 Pages. Updated document; added explanations for (hopefully) easier reading.

It is shown that the electromagnetic field is not a U(1) gauge theory, and it is shown that the Wightman axioms are inconsistent with the principle of conservation of energy and momentum.

**Category:** Mathematical Physics

[8] **viXra:1505.0139 [pdf]**
*submitted on 2015-05-19 09:29:47*

**Authors:** Jacek Safuta

**Comments:** 6 Pages.

Max Tegmark, exploring implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans, claims that physics is so successfully described by mathematics because the physical world is completely mathematical, isomorphic to a mathematical structure, and that we are simply uncovering this bit by bit.[1] In this essay we have tried to discover that mathematical structure.
We start from the correspondence rule as it has a potential to look at the existing empirical domain from a different angle, outside the mainstream physics.
Geometrical Universe Hypothesis (GUH) is the theory of mathematical physics compatible with ERH. If GUH is correct, then the empirical domain and the correspondence rule are redundant in the sense that they can be inferred from Thurston geometries.

**Category:** Mathematical Physics

[7] **viXra:1505.0138 [pdf]**
*replaced on 2016-02-12 07:25:32*

**Authors:** Valdir Monteiro dos Santos Godoi

**Comments:** 18 Pages. See also viXra:1707.0155, "On a Problem in Euler and Navier-Stokes Equations", by Valdir M.S. Godoi

We have proved that there are initial velocities u^0 (x) and forces F(x,t) such that there is no solution to the Navier-Stokes equations, which corresponds to the cases (C) and (D) of the problem relating to Navier-Stokes equations available on the website of the Clay Institute.

**Category:** Mathematical Physics

[6] **viXra:1505.0131 [pdf]**
*replaced on 2015-06-07 17:23:07*

**Authors:** Jonathan Tooker

**Comments:** 15 Pages. 5 figures, minor edits

We develop some ideas that can be used to show relationships between quantum state tensors and gravitational metric tensors. After firmly grasping the math by $\alpha$ and Einstein's equation, this is another attempt to shake it and see what goes and what stays. We introduce slightly more rigorous definitions for some familiar objects and find an unexpected connection between the chirological phase $\Phi^n$ and the quaternions $\bm{q}\in\mathbb{H}$. Torsion, the only field in string theory not already present in the theory of infinite complexity, is integrated. We propose a solution to the Ehrenfest paradox and a way to prove the twin primes conjecture. The theory's apparent connections to negative frequency resonant radiation and time reversal symmetry violation are briefly treated.

**Category:** Mathematical Physics

[5] **viXra:1505.0121 [pdf]**
*submitted on 2015-05-16 13:36:35*

**Authors:** Dan Visser

**Comments:** 6 Pages. This article may be promoted by vixra to science magazines.

A theoretical mechanism is presented for the hologram of gravity. This principle turns the Big Bang-universe into an illusion. The keystone is described as refined time, which is combined with the relativistic time of General Relativity. The refined time is time smaller than the Planck-time, which is formulated in a set of formulas in the Double Torus Theory (DTT). This is a new cosmological theory, which predicts a rotating Time Torus Universe (rTTU). In this particular article the formulations are also extended on how the rotation of the DTT-universe is calculated and can be detected by a shift of the dark spot in the CMB.

**Category:** Mathematical Physics

[4] **viXra:1505.0105 [pdf]**
*submitted on 2015-05-13 09:18:03*

**Authors:** Markos Georgallides

**Comments:** 36 Pages.

Waves need a media to travel and carry energy. A standing wave is an oscillation pattern with a stationary outline (envelope) that results either from the superposition of two identical waves travelling opposite directions or from an inner equilibrium vibration . A given particle that is bound ( confined ) in a certain region of space is a standing wave and vibrates within the constraints of the envelope function y = 2A.sin(kx).cos.(wt) . Light as Force is acting on zero area wavelength as Normal stress and thus measured as linear Momentum (since Stationary energy becomes Kinetic) and Work becomes travelling Energy .This property of energy to be converted into , velocity in wavelength as background media is the reason that doesn`t collapse by radiating away its or their energy . Work as Vibration is confined in its wavelength as a Damper , absorber , and is retained unchanged when travelling . The Why , When and the How is widely analyzed .Since also a stationary wave consists of two transverse waves then is not interpreted as an equal mixture of the two, but an inner equilibrium on monad . It was shown that the Energy-Space universe ( the beyond Planck`s length , Gravity`s and Spaces` levels ) is [PNS] and Space Anti-Space as work [38-39] , which is the cause of Spaces existence , with the only two quantized magnitudes wavelength ,λ , consisting the{MFMF = Background medium Field } and the Gravity force as momentum ,Λ, on Monads as the Gravity force . Momentum as velocity is the cross product of two velocity vectors v1,v2 which form with the two side-by-side Medium breakages ( The Electric E Magnetic P, following the cycloid motion ) and which is the Intrinsic and Stationary Electromagnetic Field of gravity`s in Medium . Breakages and Particles with velocity ,v, being the units of matter with Electric charge ,q, as their physical property is, when placed in prior referred Electromagnetic Field EP , where like charges repel and unlike charges attract , experience a force as Lorentz force , and this is called Gravity-Force , while Background-medium , is the Gravity-Field in the medium , i.e. the Quantized-Space is the medium (ds) which is also Quantized-Energy of two (±) breakages forming dipole, on which is exerted a Thrust as Velocity ,v, which is decomposed into the two equal velocity vectors ,v1,v2, and moving on two transverse cycloid trajectories which create an Intrinsic Stationary Electromagnetic wave E,P,→ the Gravity field,{ into where motion (E,P) and spin is balanced from the anti- cycloidal motion (evolute) of the Anti -Quantized-Space (-ds) }. Gravity force is exerted on breakages which are [The Material points forming dipoles] as velocity vector ,v, which is decomposed into two reverse velocities following the cycloidal motion , and consisting the intrinsic Stationary Electro-magnetic Wave of gravity, and which is binding the points of this Rest and mass-less nature Field .The infinite tiny volumes caves [Spaces of inner Electromagnetic field of particles] are the tanks in where Energy of dark points and dark fringes of two interference waves, is conserved .This is the Space-Energy unification Universe in Inertial systems consisted of this [MFMF] Field and Gravity`s inner Displacement current force and consist the Absolute frames in nature . So the immense confusion in the basic ideas regarding the Quantized Energy-Space , The Quanta , vanishes.

**Category:** Mathematical Physics

[3] **viXra:1505.0086 [pdf]**
*replaced on 2016-02-24 06:54:12*

**Authors:** Rommel Nana Dutchou

**Comments:** 22 Pages.

This work presents a formalism of the notions of space and of time which contains that of the special relativity, which is compatible with the quantum theories, and which distinguishes itself from the general relativity by the fact that it allows us to define the possible states of motion between two observers arbitrarily chosen in the nature. Before calculating the advance of the perihelion of an orbit, it is necessary to define the existence of a perihelion and its possible movement. In other words, it is necessary to express the use of a physical space which is a set of spatial positions, a set of world lines constantly at rest according to a unique observer. This document defines all the physical spaces of the nature (some compared with the others) by noting that to choose a temporal variable in one of these spaces, it is enough to choose a particular parametrization along each of its points. If the world lines of a family of observers are not elements of a unique physical space, then even in classical physics, how can they manage to put end to end their rulers to determine the measure of a segment of curve of their reference frame (each will have to ask to his neighbor: a little seriousness please, do not move until the measurement is ended) ? This question is the basis of the solution which will be proposed to paradox of Ehrenfest. A notion of expansion of the universe is established as being a structural reality and a rigorous theoretical formulation of the Hubble's experimental law is proposed. We shall highlight the fact that a relative motion occurs only along specific trajectories and this notion of authorized trajectories is not a novelty in physics as it is stated in the Bohr atomic model. We shall also highlight the fact that a non-uniform rectilinear motion possesses a horizon having the structure of a plan.

**Category:** Mathematical Physics

[2] **viXra:1505.0070 [pdf]**
*submitted on 2015-05-09 10:29:24*

**Authors:** Michail Zak

**Comments:** 28 Pages.

It is demonstrated that any statistics can be represented by an attractor of the solution to the 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. As preliminary information, a review of origin of randomness in physics including new class of random ODE is presented.

**Category:** Mathematical Physics

[1] **viXra:1505.0058 [pdf]**
*replaced on 2015-05-07 08:26:27*

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

**Comments:** 5 Pages.

A detail description of the EOC Guideline will be shown.

**Category:** Mathematical Physics