[9] **viXra:1506.0217 [pdf]**
*submitted on 2015-06-30 17:15:39*

**Authors:** D. Rabounski, P. Robitaille, F. Smarandache, L. Mao

**Comments:** 97 Pages.

Papers on physics and its applications.

**Category:** Mathematical Physics

[8] **viXra:1506.0192 [pdf]**
*replaced on 2016-01-14 14:12:31*

**Authors:** Dan Visser

**Comments:** 9 Pages. Version-2 removed a typing error, with no consequences for the results

A new universe is described, which comprehends the Big Bang-universe as a visible
hologram of gravity. This hologram eternally orbits within the time-torus-universe (rTTU).
Formulas prove this. The formulas are described in this paper. This causes dynamics, which
relate to a light-torus, and which emerges per up-scaled Planck-scale to larger scales, but it is
also accompanied by the rotation of quantum-gravity and dark matter-force. The result of the
formulas show that the light-torus has a constant rotation of half the light-speed. Moreover, it
contracts (+) or expands(-), which is dependent on the features (+) or (-) of the dark matterforce,
also involved in the rTTU. But also quantum-gravity-force is involved. So, due to these
dynamics the Big Bang-universe is not only a hologram of light, but actually a visible
hologram of gravity. Then the question arises: How do neutrinos act in this rotating timetorus-
universe? Neutrinos are not supposed to move faster-than-the-light-speed in a standalone
Big Bang-universe, but in the rTTU violation of the light-speed is dependent on whether
the dark matter-acceleration is stronger than the smallest quantum-gravity-acceleration in the
rTTU. If so, then neutrinos hurl away from the visible hologram of gravity. That seems a
violation of the GRT, but actually it isn’t, because ‘faster-than-light-neutrinos’ stay in the
rTTU. Due to this new physics and formulas three calculations are made: An orbit-time of a
light-torus, which explains why there exists a CMB-dipole. A calculation of an orbit-time of
the quantum-gravity-torus, which explains why there exist CMB hot- and cold areas. A
calculation of an orbit-time of the dark matter-torus, which explains why a series of shifted
‘concentric circles’ is showing-up in the CMB (up to 350). And at last I explain what the
‘cold spot’ in the CMB really is in perspective of the rotating time-torus-universe (rTTU).

**Category:** Mathematical Physics

[7] **viXra:1506.0177 [pdf]**
*submitted on 2015-06-25 04:41:03*

**Authors:** Jean-Luc Paillet, Andrew Meulenberg

**Comments:** 23 Pages.

In this paper, we look into the difficult question of electron deep levels in the hydrogen atom. An introduction shows some general considerations on these orbits as “anomalous” (and usually rejected) solutions of relativistic quantum equations. The first part of our study is devoted to a discussion of the arguments against the deep orbits and for them, as exemplified in published solutions. We examine each of the principal negative arguments found in the literature and show how it is possible to resolve the questions raised. In fact, most of the problems are related to the singularity of the Coulomb potential when considering the nucleus as a point charge, and so they can be easily resolved when considering a more realistic potential with finite value inside the nucleus. In a second part, we consider specific works on deep orbits as solutions of the relativistic Schrödinger and of the Dirac equations, named Dirac Deep Levels (DDLs). The latter presents the most complete solution and development for spin ½ particles, and includes an infinite family of DDL solutions. We examine particularities of these DDL solutions and more generally of the anomalous solutions. Next we analyze the methods for, and the properties of, the solutions that include a corrected potential inside the nucleus, and we examine the questions raised by this new element. Finally we indicate, in the conclusion, open questions such as the physical meaning of the relation between quantum numbers determining the deep levels and the fact that the angular momentum seems two orders-of-magnitude lower than the values associated with the Planck constant. As a prerequisite to a deep comprehension of the resolution methods, we recall in the appendices some essential elements of the Dirac theory

**Category:** Mathematical Physics

[6] **viXra:1506.0164 [pdf]**
*replaced on 2015-06-22 22:22:11*

**Authors:** Ramzi Suleiman

**Comments:** 3 Pages.

In this short note I present a brief summary of the philosophical bases, axioms, transformations, and main results and predictions, of a recently proposed relativity theory termed Information Relativity theory (or IR).

**Category:** Mathematical Physics

[5] **viXra:1506.0162 [pdf]**
*submitted on 2015-06-22 12:11:57*

**Authors:** Rodolfo A. Frino

**Comments:** 1 Page.

This paper presents a numeric formula for the fine-structure constant as a function of the number π and nine powers of 2.

**Category:** Mathematical Physics

[4] **viXra:1506.0159 [pdf]**
*submitted on 2015-06-22 03:14:43*

**Authors:** Elemer E. Rosinger

**Comments:** 8 Pages.

Presently - and surprisingly - only {\it two} ways to compose systems are known : classical systems have their state spaces composed by Cartesian product, while in the case of quantum systems, by tensor product. Reasons, as well as hints are presented why and how more {\it rich} ways of composition of systems should be considered. Improving computational power is one such reason, why a hint may come from DNA computation. Mathematically, the issue comes down to choosing a proper way to compose certain classes of finite graphs which include as a particular case the juxtaposition of finite string of words in an alphabet.

**Category:** Mathematical Physics

[3] **viXra:1506.0146 [pdf]**
*replaced on 2017-09-13 16:23:59*

**Authors:** Robert B. Easter

**Comments:** 179 Pages. Revision v2 corrects serious errors in v1, sections 2.38 and 2.39.

This book provides an introduction to quaternions and Clifford geometric algebras. Quaternion rotations are covered extensively. A reference manual on the entities and operations of conformal (CGA) and quadric geometric algebras (QGA) is given. The Space-Time Algebra (STA) is introduced and offers an example of its use for special relativity velocity addition. Advanced algebraic techniques for the symbolic expansion of the geometric product of blades is explained with numerous examples.

**Category:** Mathematical Physics

[2] **viXra:1506.0118 [pdf]**
*submitted on 2015-06-15 12:01:48*

**Authors:** Valdir Monteiro dos Santos Godoi

**Comments:** 3 Pages.

Reanalyzed the validity condition of the theorem and corollary of Beale-Kato-Majda.

**Category:** Mathematical Physics

[1] **viXra:1506.0060 [pdf]**
*replaced on 2017-07-28 05:43:18*

**Authors:** Mohamed Hassani

**Comments:** 11 Pages; 1Table; 36 References

In previous work [Comm. in Phys. 24, 313 (2014)], we have established the foundations of superluminal relativistic mechanics which is actually a basic step toward the superluminalization of special relativity theory (SRT). In the present paper that is partly based on the aforementioned work, the theoretical maximum value of Lorentz factor γmax is proposed in order to determine the validity limits of SRT in its proper domain of applicability, and situate the frontiers between relativistic physics and superluminal physics for the conceptual and practical purpose at microscopic and macroscopic levels. Among the consequences of the developed formalism, a helpful formula for luminal and superluminal velocities, and the concept of luxonic energy for massive particles, which may be used as a criterion to investigate the high and ultra-high energy cosmic rays, also another formula is derived to estimate the non-zero photon rest mass.

**Category:** Mathematical Physics