[8] **viXra:1301.0158 [pdf]**
*submitted on 2013-01-26 07:14:47*

**Authors:** Dan Visser

**Comments:** 6 Pages.

The Double Torus, a new hypothesis for the universe, has been put in perspective and related to other theories and hypotheses. This ‘paper’ could be used by the press. The Double Torus hypothesis is theoretically and mathematically-physics-based. Examples of evidence might be available already.

**Category:** Mathematical Physics

[7] **viXra:1301.0139 [pdf]**
*replaced on 2015-05-31 14:58:54*

**Authors:** Branko Zivlak

**Comments:** 8 Pages. 25 formulas

The aim of this article is to determine dimensionless physical constants through mathematical constants and other dimensionless physical constants.

**Category:** Mathematical Physics

[6] **viXra:1301.0110 [pdf]**
*submitted on 2013-01-18 10:51:52*

**Authors:** Helmut Söllinger

**Comments:** Pages. e-mail adress of the author: 64.soellinger@aon.at

The scope of the work described in this paper is a systematic investigation as to whether or not the mass of the proton and the electron can be represented by other fundamental constants. The author arrives at the conclusion that the mass of the proton and the electron can be expressed by a combination of five constants that occur in nature; namely, e, εo, h, c, G, plus a time-variable parameter. In this context, the author has studied more than 37,000 options using electronic support and powering the fundamental constants with natural numbers only.
The simplest and most convincing formula the author has found is:
me3 x mp3 = (e2 h/4p εo c G R)2
This equation results in the exact value of the mass of the proton and the electron. The beauty and simplicity of this equation give rise to the following question: What, if not this formula, is able to represent the mass of the two most important particles?
The author’s conclusion is that either the electron and proton masses themselves are natural constants that cannot be represented by other constants of nature, or that – as shown in this paper – they can be perfectly well represented by five other fundamental constants, in addition to a time-variable parameter.

**Category:** Mathematical Physics

[5] **viXra:1301.0082 [pdf]**
*submitted on 2013-01-14 09:26:09*

**Authors:** Martin Erik Horn

**Comments:** 8 Pages.

It is a historical accident that we describe Pauli matrices as (2 x 2) matrices and Dirac matrices as (4 x 4) matrices. As it will be shown in this paper we can use (3 x 3) matrices or (9 x 9) matrices for this purpose as well. This hopefully will enable us one day to construct a unified geometric algebra picture which includes Gell-Mann matrices in an appropriate manner.

**Category:** Mathematical Physics

[4] **viXra:1301.0078 [pdf]**
*replaced on 2013-02-08 08:52:48*

**Authors:** Jose Javier Garcia

**Comments:** 11 Pages.

We study the relation between the Guzwiller Trace for a dynamical system and the Riemann-Weil trace formula for the Riemann zeros, using the Bohr-Sommerfeld quantization condition and the fractional calculus we obtain a method to define implicitly a potential , we apply this method to define a Hamiltonian whose energies are the square of the Riemann zeros (imaginary part) , also we show that for big ‘x’ the potential is very close to an exponential function. In this paper and for simplicity we use units so • Keywords: = Riemann Hypothesis, WKB semiclassical approximation, Gutzwiller trace formula, Bohr-Sommerfeld quantization,exponential potential.

**Category:** Mathematical Physics

[3] **viXra:1301.0076 [pdf]**
*replaced on 2014-07-12 06:05:18*

**Authors:** Sergey A. Kamenshchikov

**Comments:** 9 Pages. Journal of Chaos, Volume 2014, Article ID 292096. Author: ru.linkedin.com/pub/sergey-kamenshchikov/60/8b1/21a/

The goal of this investigation was to derive strictly new properties of chaotic systems and their mutual relations. The generalized Fokker-Planck equation with a non stationary diffusion has been derived and used for chaos analysis. An anomalous transport turned out to be natural property of this equation. A nonlinear dispersion of the considered motion allowed to find a principal consequence: a chaotic system with uniform dynamic properties tends to instable clustering. Small fluctuations of particles density increase by time and form attractors and stochastic islands even if the initial transport properties have uniform distribution. It was shown that an instability of phase trajectories leads to the nonlinear dispersion law and consequently to a space instability. A fixed boundary system was considered, using a standard Fokker-Planck equation. We have derived that such a type of dynamic systems has a discrete diffusive and energy spectra. It was shown that phase space diffusion is the only parameter that defines a dynamic accuracy in this case. The uncertainty relations have been obtained for conjugate phase space variables with account of transport properties. Given results can be used in the area of chaotic systems modelling and turbulence investigation. Key words: clustering, anomalous transport, Fokker-Planck equation, uncertainties relation.

**Category:** Mathematical Physics

[2] **viXra:1301.0065 [pdf]**
*submitted on 2013-01-12 06:19:36*

**Authors:** Dan Visser

**Comments:** 6 Pages.

I present the mathematics of a new ‘Dark Energy Force’ in replay with my former ‘papers’. The reason is particles that feel small gravity, and anti-particles that maybe feel anti-gravity, and the particle-cosmology I use, with negative mass, never have been exposed experimentally to General Relativity, in order to prove that a real anti-gravity exists. However, the mathematics in my frame work theoretically prove, that only dark matter-mass could have negative mass. This is in contradiction with a new theory of Entropy-Gravity, which theoretically proved gravity is not fundamental, but caused by entropy. My framework is also in contradiction with the Elementary Process theory, which also predicts gravity is not fundamental, but will cause anti-gravity by anti-matter with positive mass. Both these frameworks consider their theory in a Big Bang cosmology. So I replayed my mathematics to highlight again, that a new dark matter-force, embedded in a new cosmology named Double Torus Universe, is the only one that could cause real anti-gravity. My framework is independently developed from institutions and based on two extra-time arrows from below the Planck-scale. Additionally, and for the first time, I used a Feynman-diagram to express this dark matter-force in order to illustrate the existence of real anti-gravity theoretically.

**Category:** Mathematical Physics

[1] **viXra:1301.0040 [pdf]**
*submitted on 2013-01-08 00:47:32*

**Authors:** Rodney Bartlett

**Comments:** 5 Pages.

Over 30 years of thinking, plus the insights and mistakes in my viXra articles, reveal the basic blueprint for making this universe. This article continues from where previous articles finished (throughout, I’ve provided links to prior contributions). I begin with explanation of quantum particles, forces and spin in terms of positioning of Mobius loops and the flow of the loops’ binary digits accounting for the interference between gravitation and electromagnetism – together with a link supporting the idea of an electronics-based universe and addressing the topics of hidden variables, quantum fluctuation and virtual particles. The next link speaks of the inverse-square law and infinity. I give Dr. Carl Sagan credit where credit is due - and conclude that, being years ahead of his time, he saw a fundamental truth about the universe’s nature which he decided to include in his book “Contact”. Then time travel into the past (via matrices and the figure-8 Klein bottle), before putting it all together and indulging in some speculation about how to make this universe we’re living in.
I think it’s too simple to say “We don’t need to make the universe … it’s already here”. That statement relies on time being strictly linear (like a straight line, rectilinear). We know it isn’t, but is curvilinear and warped. It’s better to say the universe is here now because our future civilization did the following in the past –

**Category:** Mathematical Physics