[9] **viXra:1503.0257 [pdf]**
*submitted on 2015-03-30 06:29:25*

**Authors:** Kan Kuo-Hsiao

**Comments:** 6 Pages. MSC 2010: 06C15, 81P10

This short note presents the structures of lattices and continuous geometries in the energy spectrum of a quantum bound state. Quantum logic, in von Neumann's original sense, is used to construct these structures. Finally, a quantum logical understanding of the emergence of discreteness is suggested.

**Category:** Mathematical Physics

[8] **viXra:1503.0240 [pdf]**
*submitted on 2015-03-29 04:21:22*

**Authors:** Yang Liu, Bo Wei, Zhen Wang, Yong Deng

**Comments:** 14 Pages.

The problem of finding a better immunization strategy for controlling the spreading of the epidemic with limited resources has attracted much attention since its great theoretical significance and wide application. In this paper, we propose a novel and successful targeted immunization strategy based on percolation transition. Our strategy immunizes the fraction of critical nodes which lead to the emergence of giant connected component. To test the effectiveness of the proposed method, we conduct the experiments on several artificial networks and real-world networks. The results show that the proposed method outperforms the existing well-known methods with 18% to 50% fewer immunized nodes for same degree of immunization.

**Category:** Mathematical Physics

[7] **viXra:1503.0169 [pdf]**
*replaced on 2015-03-31 03:04:32*

**Authors:** Rodney Bartlett

**Comments:** 14 Pages.

Stephen Hawking writes, “In real time, the universe has a beginning and an end at singularities that form a boundary to space-time and at which the laws of science break down. But in imaginary time, there are no singularities or boundaries. So maybe what we call imaginary time is really more basic …” (“A Brief History of Time” by Stephen Hawking - Bantam Press, 1988, p.139)
When Hawking says there are no singularities in imaginary time, can his statement relate to physics? Or is it purely mathematical, in which case it would reinforce the idea that the universe began with a singularity and a Big Bang? I believe imaginary time has physical meaning since it can be developed from space-time where parallel lines become perpendicular without any motion occurring. Such a feat depends on a particular form of General Relativity’s space-time curvature. It leads to new cosmology and quantum physics that includes deletion of distance on every scale – plus a method for cosmogenesis or creation of the universe.
This author has a habit of copying and pasting. I’ve done it in the past to present an idea in different contexts, hoping that would demonstrate the idea’s validity. In this article, sentences are added to my recycling – showing that I still believe in the basic idea I started with, but adding information (sometimes from mathematics) to support that basis.
In addition, I’ve included a 600-word summary at the start that was inspired by a reply I gave to HarryT in the vixra forums (where I write as rodney1956) as well as by the 2012 Nature Letter “Quantum teleportation over 143 kilometres using active feed-forward “ (http://www.nature.com/nature/journal/v489/n7415/full/nature11472.html). The summary uses strings to unite fields and matter. I've decided to call the strings bits (Binary digITS) that aren't only regarded as units of information, but also as quantum-size pulses of energy.

**Category:** Mathematical Physics

[6] **viXra:1503.0159 [pdf]**
*submitted on 2015-03-21 12:54:48*

**Authors:** William O. Straub

**Comments:** 2 Pages.

The number of independent components in the Riemann-Christoffel curvature tensor, being composed of the metric tensor and its first and second derivatives, varies considerably with the dimension of space. Since few texts provide an explicit derivation of component number, we present here a simplified method using only the curvature tensor’s antisymmetry property and the cyclicity condition. For generality and comparison, the method for computing component number in both Riemannian and non-Riemannian space is presented.

**Category:** Mathematical Physics

[5] **viXra:1503.0128 [pdf]**
*submitted on 2015-03-15 19:49:29*

**Authors:** Jian-zhong Zhao

**Comments:** 23 Pages.

Abstract
Variational theory of elasticity is surveyed in the context of
mathematical logic in the present paper. The problem of
variable-independence of variational principles raised by Chien
is discussed. We find that Chien’s “High-order Lagrange
Multiplier Theory”, which deals with the problem of variable-independence
and constraint of variational principles, is
inconsistent; Luo’s system, which is involved in the problem of
variable-independence, is involved in contradictions; the
conventional understanding of independence of variables of
variational principles connotes contradiction. In the context of
mathematical logic, variational theory must be established as a
mathematical system of logic, excluding vagueness and
misunderstanding. By consideration of logic, variable-independence
is understood as identity of variables and then
formalization of variational theory is a solution to the problem
of variable-independence. Two consistent systems for elasticity,
the Axiomatic System of Variation and the Formal System of
Variation, are suggested in this paper.

**Category:** Mathematical Physics

[4] **viXra:1503.0060 [pdf]**
*submitted on 2015-03-09 06:50:30*

**Authors:** Gerasimos T. Soldatos

**Comments:** 11 Pages. Published in: International Journal of Innovation in Science and Mathematics, 2015, 3(2), 48-58.

This paper is considering geometrically the smallest possible spatial displacement of the elementary mass by equating the corresponding and thereby smallest possible historical time with the unit. This time is supposed to be the travel time under smooth rectilinear motion as the motion, with the least change in the physicochemical substance of this mass, change determining the age of the mass and owing exclusively to kinematics in void space. Yet, the passage of time as recorded by physicochemical change under other types of motion towards the same terminal point and at the same arrival time, call it “age-time”, does not coincide with the arrival time. Therefore, although void space has been assumed, some other, age-shaping factor beyond kinematics is inferred to exist in this space, so that it can be held responsible for the variations in age time. It acts so as to be ensuring the uniqueness of events. The same factor should be cited as the source of motion too, given that motion is contemplated analytically with no reference to a cause of it. This factor appears to exhibit the properties of ether, with which it is identified. Ether provides momentum to mass, altering constantly the texture of the mass, that is, the age of the mass and subsequently, the velocity of it in historical time. The operation of ether is taken to be mathematically the reason for the real-world relevance of irrational numbers. The potential infinity, associated with these numbers and with the operation of ether that is filling space, becomes embedded in the actual infinite of space by itself, in this manner.

**Category:** Mathematical Physics

[3] **viXra:1503.0045 [pdf]**
*replaced on 2015-03-11 15:24:26*

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

**Comments:** 5 Pages.

A short explanation of the holographic interface of PHPR will be stated.

**Category:** Mathematical Physics

[2] **viXra:1503.0022 [pdf]**
*replaced on 2015-03-10 12:09:38*

**Authors:** Sergey Kamenshchikov

**Comments:** 6 Pages.

In this paper we consider a nonlinear stochastic approach to the description of quantum
systems. It is shown that a possibility to derive quantum properties - spectrum quantization,
zero point positive energy and uncertainty relations, exists in frame of Zaslavsky phase liquid.
This liquid is considered as a projection of continuous medium into a Hilbert phase space. It
has isotropic minimal diffusion defined by Planck constant. Areas of probability condensation,
formed by phase liquid turbulence, may produce clustering centers–particles, which preserve
boundaries. These areas are described as strange attractors with fractal transport properties.
The stability of attractors has been shown in frame of the first order perturbation theory.
Quantum peculiarities of considered systems have been strictly derived from markovian
Fokker-Planck equation. It turned out that the positive zero point energy has volumetric
properties and grows for higher time resolutions. We have shown that a quasi stable
condensate may be applied as a satisfactory model of an elementary quantum system. The
conditions of attractor stability are defined on the basis of Nonlinear Prigogine Theorem. It is
shown that the integrity of classical and quantum approaches is recovered while existence of
particles is derived in terms of mechanical model.

**Category:** Mathematical Physics

[1] **viXra:1503.0012 [pdf]**
*submitted on 2015-03-01 19:44:28*

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

**Comments:** 5 Pages.

The manuscript will lay out a few examples of computational control in PHPR.

**Category:** Mathematical Physics