Journal of Physical Mathematics Articles (Project Euclid)
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The latest articles from Journal of Physical Mathematics on Project Euclid, a site for mathematics and statistics resources.en-usCopyright 2010 Cornell University LibraryEuclid-L@cornell.edu (Project Euclid Team)Mon, 25 Oct 2010 09:59 EDTMon, 25 Oct 2010 10:12 EDThttp://projecteuclid.org/collection/euclid/images/logo_linking_100.gifProject Euclid
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Infinite Lie algebras and dual pairs in 4D CFT models
http://projecteuclid.org/euclid.jpm/1288015152
<strong>Ivan Todorov</strong><p><strong>Source: </strong>J. Phys. Math., Volume 1, 12 pages.</p><p><strong>Abstract:</strong><br/>
It is known that there are no local scalar Lie fields in more than two
dimensions. Bilocal fields, however, which naturally arise in conformal operator
product expansions, do generate infinite Lie algebras. It is demonstrated that
these Lie algebras of local observables admit (highly reducible) unitary
positive energy representations in a Fock space. The multiplicity of their
irreducible components is governed by a compact gauge group. The mutually
commuting observable algebra and gauge group form a dual pair in the sense of
Howe. In a theory of local scalar fields of conformal dimension two in four
space-time dimensions the associated dual pairs are constructed and classified.
The talk reviews joint work of B. Bakalov, N. M. Nikolov, K.-H. Rehren, and the
author.
</p>projecteuclid.org/euclid.jpm/1288015152_Mon, 25 Oct 2010 09:59 EDTMon, 25 Oct 2010 09:59 EDTNew Analytical Formulae to Calibrate Well-type Scintillation
Detectors Efficiencyhttps://projecteuclid.org/euclid.jpm/1504144826<strong>Abbas MI</strong>, <strong>Ibrahim OA</strong>, <strong>Ibrahim T</strong>, <strong>Sakr M</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 11 pages.</p><p><strong>Abstract:</strong><br/>
Direct Mathematical calculations for the absolute efficiency of well-type gamma ray
scintillation crystals are described. Calculated detection efficiencies are drawn for two
commonly used well crystals. Comparisons are made between present works and published
Monte Carlo values. The present approach proved quite success in predicting the efficiency
of well type detectors providing only the geometry and materials of the system formed of
source, detector and shielding as well as the energy of the emitted photons.
</p>projecteuclid.org/euclid.jpm/1504144826_20170830220048Wed, 30 Aug 2017 22:00 EDTInertia effect on free convection over horizontal surface in a
porous medium with a variable wall heat flux and variable wall temperature containing
Internal heat generationhttps://projecteuclid.org/euclid.jpm/1504144827<strong>Ferdows M</strong>, <strong>Liu D</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 5 pages.</p><p><strong>Abstract:</strong><br/>
The analysis is performed for the steady-state boundary layer flow with free convective
heat transfer over a horizontal surface embedded in a fluid-saturated porous medium
subject to variable wall heat flux (WHF) and variable wall temperature (VWT). In modeling
the flow inertia, no slip boundary conditions and exponentially decaying internal heat
generation (IHG) are taken into account. The similarity equations are solved numerically
and their solutions are dependent on the problem parameters G, m, λ. The influence of such
parameters on flow characteristics such as velocity, temperature profiles, the skin
friction coefficient, and the Nusselt number are thoroughly discussed. It is found that
the flow profiles along with physical parameters significantly altered the rate of heat
transfer and induced more flow within the boundary layer than that of without IHG.
</p>projecteuclid.org/euclid.jpm/1504144827_20170830220048Wed, 30 Aug 2017 22:00 EDTThe Experimental Evidence for the Dark Matter Universehttps://projecteuclid.org/euclid.jpm/1504144828<strong>Sergey GB</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 3 pages.</p><p><strong>Abstract:</strong><br/>
Currently, in the scientific literature there is the statement that 96% of the total
amount of the matter in the universe is the so-called the dark matter. It is uniformly
fills the entire universe and it cannot be identified with the any observable celestial
bodies. It was called the dark matter because it is invisible. No one has not seen in
order to it was involved in the gravitational interactions between stars and star
clusters. Its existence the astrophysics explains by causes of the background radiation of
radio waves. This radiation is detected by radio telescopes at wavelengths of about 7.35
cm. Actually, it is unknown nothing in addition. The share of the baryonic matter is not
more than 4% of all matter in the universe (baryonic matter mainly consists of the heavy
elementary particles, neutrons and protons).
In connection with this in the science the assumption gaining strength, that in the
universe there are two kinds of a matter. One of them is the ordinary baryonic matter, and
the other, the so-called a dark matter. It is by primary kinds of a matter. There is the
evidences and the objections to such a view of nature. To add the arguments in favor of
evidence to the existence of a dark matter in the space between the baryon bodies, in this
article we re-look at the experience of PA Cherenkov 1934 about the luminescence of very
fast electrons due to D-rays of the radioactive elements as they pass through the liquid.
In 1958, to Cherenkov, together with Tamm and Frank was awarded the Nobel Prize in Physics
"for the discovery and interpretation of the Cherenkov effect."
</p>projecteuclid.org/euclid.jpm/1504144828_20170830220048Wed, 30 Aug 2017 22:00 EDTExistence and Smoothness of the Navier-Stokes Equation in Two and Three-Dimensional Euclidean Spacehttps://projecteuclid.org/euclid.jpm/1504144829<strong>Tim Tarver</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 7 pages.</p><p><strong>Abstract:</strong><br/>
A solution to this problem has been unknown for years and the fact that it hasn’t been solved yet leaves a
lot of unanswered questions regarding Engineering and Pure Mathematics. Turbulence is a specific topic in fluid
mechanics which is a vital part of the course when it comes to real life situations. In two and three dimensional
systems of equations and some initial conditions, if the smooth solutions exist, they have bounded kinetic energy.
In three space dimensions and time, given an initial velocity vector, there exists a velocity field and scalar pressure
field which are both smooth and globally defined that solve the Navier-Stokes equations. There are difficulties in
two-dimensions and three dimensions in a possible solution and which have been unsolved for a long time and our
goal is to propose a solution in three-dimensions. Lets see if we can relate a couple of courses of pure mathematics
to come up with an implication.
</p>projecteuclid.org/euclid.jpm/1504144829_20170830220048Wed, 30 Aug 2017 22:00 EDTImproving the Accuracy of Yoshio's Formula Koidehttps://projecteuclid.org/euclid.jpm/1504144830<strong>Mareau D</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 2 pages.</p><p><strong>Abstract:</strong><br/>
The formula Yoshio Koide, shows a pretty compelling link between the masses of leptons: electron, muon,
tauon. We offer a clear improvement in accuracy in expressing this formula electron unit. This opens the way for the
assumption of heavy leptons type of composite. Under discussion is then referred to the cause, beyond the standard
model, the neutrino flavor mixture, treated with PMNS matrix.
</p>projecteuclid.org/euclid.jpm/1504144830_20170830220048Wed, 30 Aug 2017 22:00 EDTRelation between the Gravitational and Magnetic Fieldshttps://projecteuclid.org/euclid.jpm/1504144831<strong>Baixauli JG</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 4 pages.</p><p><strong>Abstract:</strong><br/>
Quantum and relativistic phenomena can be explained by the hypothesis that both the universe and the
elementary particles are formed by atoms’ four spatial dimensions. It is also possible to deduce and calculate
properties of elementary particles, such as mass, electric charge, spin, radio, etc. Based on this hypothesis, the
fundamental constants can be calculated depending only on the speed of light c. Moreover, the Schrodinger equation
can be deduced and the equality of inertial and gravitational mass can be demonstrated. The aim of this article is
to establish a relationship between electron mass and electron charge, and thereby calculate the electrical charge
depending on the mass of the electron, Planck's constant h and the speed of light c. Through this relationship,
extended to the gravitational and magnetic fields, it is possible to establish a relationship between the constants of
both fields.
</p>projecteuclid.org/euclid.jpm/1504144831_20170830220048Wed, 30 Aug 2017 22:00 EDTSieve of Prime Numbers Using Algorithmshttps://projecteuclid.org/euclid.jpm/1504144832<strong>Stelian Liviu B</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 6 pages.</p><p><strong>Abstract:</strong><br/>
This study suggests grouping of numbers that do not divide the number 3 and/or 5 in eight columns. Allocation
results obtained from multiplication of numbers is based on column belonging to him. If in the Sieve of Eratosthenes
the majority of multiplication of prime numbers result in a results devoid of practical benefit (numbers divisible by 2,
3 and/or 5), in the sieve of prime numbers using algorithms, each multiplication of prime number gives a result in a
number not divisible to 2, 3 and/or 5.
</p>projecteuclid.org/euclid.jpm/1504144832_20170830220048Wed, 30 Aug 2017 22:00 EDTYang-Mills Mass Gap Clay Institute Problem Solutionhttps://projecteuclid.org/euclid.jpm/1504144833<strong>Cusack P</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 6 pages.</p><p><strong>Abstract:</strong><br/>
Here is the solution to the Yang-Mills Mass Gap Problem as described below. The Mass in the material universe
is a balance between the resistance to mass formation (cuz=Pi-base e), squeezing Energy, and Gravity pulling it
apart. There is an explanation as to why there are 116 sable elements in the material universe. The calculations are
verified by predicting the size of the universe within experimental error.
</p>projecteuclid.org/euclid.jpm/1504144833_20170830220048Wed, 30 Aug 2017 22:00 EDTBirch and Swinnerton-Dyer Conjecture Clay Institute Millenium Problem
Solutionhttps://projecteuclid.org/euclid.jpm/1504144834<strong>Cusack P</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 2 pages.</p><p><strong>Abstract:</strong><br/>
This paper presents the solution to the Birch Swimmerton problem. It entails the use of critical damping of a
Mass-Spring-Dash Pod system which, when modelled mathematically, provide the equation that allows the solution
of the zeta problem to be solved.
</p>projecteuclid.org/euclid.jpm/1504144834_20170830220048Wed, 30 Aug 2017 22:00 EDTOn Regularisation and Comparison of Methods for Solving Hilbert Linear
Systemshttps://projecteuclid.org/euclid.jpm/1504144835<strong>Azizu S</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 3 pages.</p><p><strong>Abstract:</strong><br/>
This paper deals with linear ill-posed problems relating to Hilbert Systems using comparisons of methods
(Matlab Backslash, SVD, GMRES, QR, and PCG) including their regularizations. Hilbert systems of varying sizes
were investigated and several results on these methods were presented in tabular form based on error and relative
error norm. From our numerical results ran on Matlab version 7.01 only QR regularization method is recommended
for the solution of Hilbert linear system.
</p>projecteuclid.org/euclid.jpm/1504144835_20170830220048Wed, 30 Aug 2017 22:00 EDTAstro-Theology, Cusacks Universehttps://projecteuclid.org/euclid.jpm/1504144836<strong>Cusack P</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 8 pages.</p><p><strong>Abstract:</strong><br/>
This paper presents a new revolutionary theory on how the universe came to be and is sustained. It shows,
through the use of Mathematical Physics, how the so-called “Superforce is” determined. The Superforce is that single
force that overrides all other forces of Physics, namely, Gravity, Electromagnetic, and Nuclear Forces. The theory
presented here is in harmony with other field that touch on it, including Quantum Mechanic, Chemistry, Physics,
Theology, Sacred Scripture, and Philosophy. Newtonian Mechanics is useful here. There is absolute time and space
contrary to Einsteinian Mechanics. Our universe is just one wavelength of a spectrum. Shown is the irreducible
gravitational constant and how the 11 dimension universe is built up from there. The paper provides a solution to
these 11 simultaneous equations. This paper is a brief summary of the blog Astrotheology-Cusack’s Universe and
the series of books by the same title. That blog is over 4300 pages posts long, and thus difficult to summarize in less
than 20 pages. However, the attempt is made here. The reader is referred to those sources to glean the detail. This
paper bring physics into harmony with Quantum Mechanics and also with the account of Genesis account version
of Creation, which the Egyptians knew and the Hebrews learned The ancients knew much more about our universe
than we previously thought.
</p>projecteuclid.org/euclid.jpm/1504144836_20170830220048Wed, 30 Aug 2017 22:00 EDTNavier-Stokes Clay Institute Millennium Problem Solutionhttps://projecteuclid.org/euclid.jpm/1504144837<strong>Cusack P</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 3 pages.</p><p><strong>Abstract:</strong><br/>
This paper provides the solution to the Navier-Stokes Clay Institute Problem. The Golden Mean parabola is a
solution to this equation. The solution shows that the Navier Stokes Equation is smooth.
</p>projecteuclid.org/euclid.jpm/1504144837_20170830220048Wed, 30 Aug 2017 22:00 EDTOn Adiabatic Processes at the Elementary Particle Levelhttps://projecteuclid.org/euclid.jpm/1504144838<strong>Michaud A</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 15 pages.</p><p><strong>Abstract:</strong><br/>
Analysis of adiabatic processes at the elementary particle level and of the manner in which they correlate with
the principle of conservation of energy, the principle of least action and entropy. Analysis of the initial and irreversible
adiabatic acceleration sequence of newly created elementary particles and its relation to these principles. Exploration
of the consequences if this first initial acceleration sequence is not subject to the principle of conservation.
</p>projecteuclid.org/euclid.jpm/1504144838_20170830220048Wed, 30 Aug 2017 22:00 EDTAbout New Internal Symmetries of the Integer Lattice ($\mathrm{Z^N}$)https://projecteuclid.org/euclid.jpm/1504144839<strong>Kornyushkin A</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 13 pages.</p><p><strong>Abstract:</strong><br/>
The numerous internal symmetries are found in N-dimensional integer lattices ($\mathrm{Z^N}$). The relation of these symmetries
with the new mathematical category named the Masks (or Neighborhoods) is shown. A set of definitions for the Correct
Masks and Perfect Masks is presented; the identity between the Correct and Perfect Masks is hypothesized. The
relationship between the Perfection of the Mask and the new category named “Mathematical String” is shown. The
Correctness of the several Masks in $\mathrm{Z^N}$ (N=1,2) is proven and a simple method to find the Correctness for all other N is
outlined. The hypothesis of high population density of Perfect Masks in integer lattices $\mathrm{Z^N}$ with large N is stated.
</p>projecteuclid.org/euclid.jpm/1504144839_20170830220048Wed, 30 Aug 2017 22:00 EDTThe Double Slit Experiment-Explainedhttps://projecteuclid.org/euclid.jpm/1504144840<strong>Yousif ME</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 10 pages.</p><p><strong>Abstract:</strong><br/>
The wavelet envisioned by Huygen’s in diffraction phenomenon is re-interpreted as being polarized after
passing through slit/hole which removed the electric field component from the Electromagnetic Radiation (EM-R),
the remained wave consist of the Circular Magnetic Field (CMF), this CMF lost the speed of light and the electric
field, hence it’s a short distance travel field, originated from the CMF produced by accelerated electrons, integrated
with the Electric Field (EF) during the Flip-Flop (F-F) mechanism producing EM-R; hence the passing of light through
a single hole/slit resulted in a CMF which reproduced as rings on the monitor screen in single wave diffraction,
while the interference of two such CMF in double slits experiment, produced constructive or destructive interference
forming patches on the monitor screen; and the perceived electron diffraction is an enter of two CMF from a single
electron into a slit then emerged to produce constructive or destructive interference, in addition to the electron which
entered and emerged from the slit with the stronger CMF, the paper finally derived the origin of Planck ‘constant (h)
for the second time; the logical interpretation of double slits diffraction will restore the common sense in the physical
world, distorted by the pilot wave.
</p>projecteuclid.org/euclid.jpm/1504144840_20170830220048Wed, 30 Aug 2017 22:00 EDTThe Quantum Sieve of Eratostheneshttps://projecteuclid.org/euclid.jpm/1504144841<strong>Sowa A</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 6 pages.</p><p><strong>Abstract:</strong><br/>
We introduce and examine quantum states of a special kind, referred to as E-states, whose properties are both
structurally and functionally analogous to the sieve of Eratosthenes. More broadly, the concept of an E-state is related
to a certain noncommutative extension of the Dirichlet ring, also discussed here for the first time. Furthermore, we
demonstrate that E-states can be implemented on a universal quantum computer and, as a particular application, we
construct an algorithm which implements the Dirichlet multiplication of sequences on a quantum computer. We also
discuss the potential applicability of E-states to the problem of integer factorization although, we haste to add, we
are not aware at present of the possibility of using this approach to obtain algorithms of sub-exponential complexity.
</p>projecteuclid.org/euclid.jpm/1504144841_20170830220048Wed, 30 Aug 2017 22:00 EDTMesh Deformation Approaches – A Surveyhttps://projecteuclid.org/euclid.jpm/1504144842<strong>Selim MM</strong>, <strong>Koomullil RP</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 9 pages.</p><p><strong>Abstract:</strong><br/>
This survey reviews the recent development of mesh deformation methods. During the past two decades a vast
number of researches have been concerned with developing an efficient and robust mesh deformation technique.
This has been achieved either by proposing a novel approach, improving an existing one, or by combining two
existing approaches together resulting in a new hybrid approach. It is important to keep track of the most up to
date developments in the field of mesh deformation, in order to allow the researchers to adopt the most efficient
and application compatible scheme as well as to propose new methods of improvements. In this survey the mesh
deformation techniques have been classified into two main categories, 1) physical analogy based techniques and
2) interpolation based techniques. The most significant techniques under these two classes are reviewed and the
aspects of strength and weaknesses are highlighted.
</p>projecteuclid.org/euclid.jpm/1504144842_20170830220048Wed, 30 Aug 2017 22:00 EDTOptimized Launch of a Rocket Launcher Type, From La Guajira - Colombiahttps://projecteuclid.org/euclid.jpm/1504144843<strong>Ruiz DPC</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 2, 7 pages.</p><p><strong>Abstract:</strong><br/>
The initial process for introducing the respective input variables to the mathematical models depends on the
flight mission to define; keeping in mind the simplifications that are taking place are also established; as well as input
data relevant to mention such as for example are the speed, the height, the cut-off, data concerning the orbit perigee,
apogee, period and flat trajectory of the orbit. It is defined in the same simplified manner, the orbital elements and
the inclination to consider. Additionally, the energy requirement is established and a specific impulse not defined,
specific current pulses propellants either solid or liquid. Specific impulses of current propellants either solid or liquid
must not exceed the limits established in technologically optimum mass distribution and the number of stages. At that
point the main problem to observe will be associated with the number one phase in which we must find the path from
the launch point to the injection of the payload, minimizing the loss of thrust required for acceleration, gravitational
effects and drag.
This requires a path to minimize these losses and minimize the overall fuel consumption of the vehicle. as part of
the origin of the proposed research problem, was noted the work developed in the research hotbed SE-AST (Hotbed
of astronautically studies) that have been developed academic work order relating to conceptual designs rocket
dimensioning of motors and calculating orbits within the projects undertaken there labor and courses, but has been
developed from work pending that address the dynamic of powered flight path.
</p>projecteuclid.org/euclid.jpm/1504144843_20170830220048Wed, 30 Aug 2017 22:00 EDTAlternative Interpretation of the Lorentz-transformationhttps://projecteuclid.org/euclid.jpm/1504144865<strong>Deyssenroth H</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 4 pages.</p><p><strong>Abstract:</strong><br/>
The Lorentz-Transformation (LT) is the basis of the Theories of Relativity, which are
capable of describing the experimentally manifold confirmed relativistic phenomena that
deviate from classical physics. Here I present a proof that results in an alternative
interpretation of the LT. In particular, the LT cannot be applied to high relative
velocities and related space-time modeling – one of the most important tools in physics
and astronomy – and will lead to a dead end. Two experiments are proposed to test this
idea.
</p>projecteuclid.org/euclid.jpm/1504144865_20170830220125Wed, 30 Aug 2017 22:01 EDTComparison of Macrodosimetric Efficacy of Transarterial
Radioembolization (TARE) by Using 90Y Microspheres of Different Density of Activityhttps://projecteuclid.org/euclid.jpm/1504144866<strong>Traino AC</strong>, <strong>Piccinno M</strong>, <strong>Boni G</strong>, <strong>Bargellini I</strong>, <strong>Bozzi E</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 4 pages.</p><p><strong>Abstract:</strong><br/>
Purpose: Transarterial 90Y microspheres radioembolization is emerging as a
multidisciplinary promising therapeutic modality for primary and metastatic cancer in the
liver. Actually two different type of microspheres are used, whose main characteristic is
the different density of activity (activity per microsphere). In this paper the effect due
to the possible different distribution of the microspheres in a target is presented and
discussed from a macrodosimetric point of view.
Material and methods: A 100 g virtual soft-tissue target region has been builded. The
administered activity was chosen to have a target average absorbed dose of 100 Gy and the
number of 90Y microspheres needed was calculated for two different
activity-per-microsphere values (2500) Bq/microsphere and 50 Bq/microsphere,
respectively). The spheres were randomly distributed in the target and the Dose Volume
Histograms were obtained for both. The cells surviving fractions (SF) for four different
values of the radiobiological parameter α were calculated from the Linear - Quadratic
model.
Results: The DVH obtained are very similar and the SF is almost equal for both the
activity-per- microsphere values.
Conclusions: This macrodosimetric approach shows no radiobiological difference between
the glass and resin microspheres. Thus the different number of microspheres seems to have
no effect when the number of spheres is big enough that the distance between the spheres
in the target can be considered small compared to the range of the β-particles of
90Y.
</p>projecteuclid.org/euclid.jpm/1504144866_20170830220125Wed, 30 Aug 2017 22:01 EDTHow SI Units Hide the Equal Strength of Gravitation and Charge
Fieldshttps://projecteuclid.org/euclid.jpm/1504144869<strong>Michael Lawrence</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 7 pages.</p><p><strong>Abstract:</strong><br/>
This paper shows that there are deeper symmetries within physics than are currently
recognised. The use of SI units in their existing form hides that gravity is not the
weakest force. The paper shows through symmetry arguments that Planck’s constant h and the
Gravitational constant G are both dimensionless ratios when dimensional analysis is used
at property levels deeper than mass, length and time. The resultant adjustments shown to
be needed for SI units produce much simpler sets of units which also solve the issue of
why magnetic field H and magnetic inductance B have not previously had the same units. The
result shows that gravitational and charge fields have the same strengths when considered
in fractional adjusted-Planck values. By showing that h and G are dimensionless, they can
be understood to be unit-dependent ratios which can be eliminated from all equations by
merging them within new adjusted SI units. The implications are that mass and charge
sizes, and distance, are not the properties which separate quantum and classical
gravitational systems. The equivalence of gravitational and inertial mass is also shown.
The new type of dimensional analysis shows how to uncover any law of nature or universal
constant and that the current set of properties of nature is missing two from the set,
whose dimensions and units can be inferred.
</p>projecteuclid.org/euclid.jpm/1504144869_20170830220125Wed, 30 Aug 2017 22:01 EDTA Hierarchy of Symmetry Breaking in the Nonsymmetric Kaluza-Klein
(Jordan-Thiry) Theoryhttps://projecteuclid.org/euclid.jpm/1504144870<strong>Kalinowski MW</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 8 pages.</p><p><strong>Abstract:</strong><br/>
The paper is devoted to the hierarchy of a symmetry breaking in the Non symmetric
Kaluza–Klein (Jordan–Thiry) Theory. The basic idea consists in a deformation of a vacuum
states manifold to the cartesian product of vacuum states manifolds of every stage of a
symmetry breaking .In the paper we consider a pattern of a spontaneous symmetry breaking
including a hierarchy in the Non symmetr ic Kaluza–Klein (Jordan–Thiry) Theory.
</p>projecteuclid.org/euclid.jpm/1504144870_20170830220125Wed, 30 Aug 2017 22:01 EDTOn De Broglies Double-particle Photon Hypothesishttps://projecteuclid.org/euclid.jpm/1504144871<strong>André Michaud</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 16 pages.</p><p><strong>Abstract:</strong><br/>
Establishment of an LC equation and of a local fields equation describing permanently
localized photons from the analysis of kinetic energy circulation within the energy
structure of the double-particle photon that Louis de Broglie hypothesized in the early
1930's. Among other interesting features, these equations provide a mechanical explanation
to the localized photon properties of self-propelling at the speed of light and of
self-guiding in straight line when no external interaction tends to deflect its
trajectory. This paper summarizes the seminal considerations that led to the development
of the 3-spaces model.
</p>projecteuclid.org/euclid.jpm/1504144871_20170830220125Wed, 30 Aug 2017 22:01 EDTParametric Resonance Applications in Neutrophil Dynamicshttps://projecteuclid.org/euclid.jpm/1504144872<strong>Suqi Ma</strong>, <strong>Jinzhi Lei</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 3 pages.</p><p><strong>Abstract:</strong><br/>
The profound effects of chemotherapy on the combined dynamics of the hematological stem
cells and their differentiated neutrophils is examined. G-CSF is often used to deal with
this neutropenia and the response is highly variable. To shape the neutrophil response to
chemotherapy and G-CSF, periodic parametric resonance is discussed. Periodic oscillation
in neutrophil levels and the subharmonic 1:2 resonance phenomena are observed with the
assumption of periodic chemotherapy is given. The work is aim to stimulate further
investigations and the practical applications.
</p>projecteuclid.org/euclid.jpm/1504144872_20170830220125Wed, 30 Aug 2017 22:01 EDTMatrix Representation for Seven-Dimensional Nilpotent Lie
Algebrashttps://projecteuclid.org/euclid.jpm/1504144873<strong>Ghanam R</strong>, <strong>Basim Mustafa B</strong>, <strong>Mustafa MT</strong>, <strong>Thompson G</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 8 pages.</p><p><strong>Abstract:</strong><br/>
This paper is concerned with finding linear representations for seven-dimensional real,
indecomposable nilpotent Lie algebras. We consider the first 39 algebras presented in
Gong’s classification which was based on the upper central series dimensions. For each
algebra, we give a corresponding matrix Lie group, a representation of the Lie algebra in
terms of left-invariant vector field and left-invariant one forms.
</p>projecteuclid.org/euclid.jpm/1504144873_20170830220125Wed, 30 Aug 2017 22:01 EDTThermal Diffusive Free Convective Radiating Flow Over an
Impulsively Started Vertical Porous Plate in Conducting Fieldhttps://projecteuclid.org/euclid.jpm/1504144874<strong>Kumar VR</strong>, <strong>Raj MC</strong>, <strong>Raju GSS</strong>, <strong>Varma SVK</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 8 pages.</p><p><strong>Abstract:</strong><br/>
In this manuscript we have studied the laminar convective heat and mass transfer flow of
an incompressible, viscous, electrically conducting fluid over a fluid over an impulsively
started vertical plate with conduction-radiation embedded in a porous medium in the
occurrence of transverse magnetic field. An exact solution is derived by solving the
dimensionless main coupled partial differential equations using Laplace transform
technique. The properties of important physical parameters on the velocity, temperature,
concentration, Skin friction, Sherwood number and Nusselt number have been studied through
graphs.
</p>projecteuclid.org/euclid.jpm/1504144874_20170830220125Wed, 30 Aug 2017 22:01 EDTOn the Exact Values of Daubechies Waveletshttps://projecteuclid.org/euclid.jpm/1504144875<strong>Hajji MA</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 6 pages.</p><p><strong>Abstract:</strong><br/>
In this paper we propose an algorithm for the calculation of the exact values of
compactly-supported Daubechies wavelet functions. The algorithm is iterative, performing a
single convolution operation at each step. It requires solving, at the first step only, a
linear system of a relatively small size. The novelty of the algorithm is that once the
values at dyadic points at a certain level j are calculated they do not need to be updated
at the next step. We find that this algorithm is superior to the well-known cascade
algorithm proposed by Ingrid Daubechies. This algorithm can serve well in wavelet based
methods for the numerical solutions of differential equations. The algorithm is tested on
Daubechies scaling functions as well as Daubechies coiflets. Comparison with the values
obtained using the cascade algorithm is made. We found that the cascade algorithm results
converge to ours.
</p>projecteuclid.org/euclid.jpm/1504144875_20170830220125Wed, 30 Aug 2017 22:01 EDTHuman-in-the-Loop: Could Predictive Modeling Improve Human
Performance?https://projecteuclid.org/euclid.jpm/1504144876<strong>Suhir E</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 1 page.</p>projecteuclid.org/euclid.jpm/1504144876_20170830220125Wed, 30 Aug 2017 22:01 EDTCould Electronics Reliability be Assured, if it is Not
Quantifiedhttps://projecteuclid.org/euclid.jpm/1504144877<strong>Suhir E</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 1 page.</p>projecteuclid.org/euclid.jpm/1504144877_20170830220125Wed, 30 Aug 2017 22:01 EDTAnalytical Modeling Occupies a Special Place in the Modeling
Efforthttps://projecteuclid.org/euclid.jpm/1504144878<strong>Suhir E</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 2 pages.</p>projecteuclid.org/euclid.jpm/1504144878_20170830220125Wed, 30 Aug 2017 22:01 EDTAnalytical Modeling Enables One to Explain Paradoxical Situations
in Behavior and Performance of Electronic Product Materialshttps://projecteuclid.org/euclid.jpm/1504144879<strong>Suhir E</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 1, 2 pages.</p><p><strong>Abstract:</strong><br/>
Merits, attributes and challenges associated with the application of analytical
(mathematical) predictive modeling in electronics materials science and engineering are
addressed, based mostly on the author’s research during his tenure with Basic Research,
Bell Laboratories and then – with UC-Santa Cruz and Portland State University, Portland,
OR, USA. The emphasis is on some practically important, yet paradoxical (i.e., intuitively
non-obvious), materials reliability-related situations/phenomena in electronics and
optics. It is concluded that all the three basic approaches in Microelectronics and
Photonics Materials Science and Engineering - analytical (mathematical) modeling,
numerical modeling (simulation) and experimental investigations - are equally important in
understanding the physics of the materials behavior and in designing, on this basis,
viable and reliable electronic devices and products. As they say, if your only tool is a
hammer, all the problems look like nails to you, do they not?
</p>projecteuclid.org/euclid.jpm/1504144879_20170830220125Wed, 30 Aug 2017 22:01 EDTThe Generalized Triple Difference Lacunary Statistical on $Γ^3$ Over
PMetric Spaces Defined by Musielak Orlicz Functionhttps://projecteuclid.org/euclid.jpm/1504663232<strong>Mishra LN</strong>, <strong> Deepmala</strong>, <strong>Subramanian N</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 4 pages.</p><p><strong>Abstract:</strong><br/>
We introduce the generalized triple sequence spaces of entire difference lacunary
statistical convergence and discuss general topological properties also inclusion theorems
are with respect to a sequence of Musielak-Orlicz function.
</p>projecteuclid.org/euclid.jpm/1504663232_20170905220040Tue, 05 Sep 2017 22:00 EDTPressure the Universehttps://projecteuclid.org/euclid.jpm/1504663233<strong>Dizhechko BS</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 2 pages.</p>projecteuclid.org/euclid.jpm/1504663233_20170905220040Tue, 05 Sep 2017 22:00 EDTDifferential Equations: Determining Partial Integrability of Wave
Theoryhttps://projecteuclid.org/euclid.jpm/1504663234<strong>Tim Tarver</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 2 pages.</p><p><strong>Abstract:</strong><br/>
Let’s put ourselves on a boat and watch waves travel behind it. The same concept can
apply to air flow when traveling on an air plane. Previously and currently, mathematicians
believe the wave mechanics and air flow is explained through a thorough understanding of
existing solutions to Navier-Stokes equations. Since the nineteenth century, the
understanding of these equations are unsubstantial. The goal is to create substantial
qualitative input towards generating a mathematical theory unlocking implicit information
within the Navier-Stokes equations. The literature will contain mathematical physical
methods for locating closed general solutions applied to various fields.
</p>projecteuclid.org/euclid.jpm/1504663234_20170905220040Tue, 05 Sep 2017 22:00 EDTNitrogen Dispersionhttps://projecteuclid.org/euclid.jpm/1504663235<strong>Zacarias GD</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 5 pages.</p><p><strong>Abstract:</strong><br/>
A mathematical model of free surface is presented for the study of the nitrogen injection
of the gas cap for maintain of pressure, we used one model dispersion a flow in well zone.
Nitrogen injected into the cap has a density greater than the original gas which has
rushed to the gas-oil contact goc. Since the goc on the border there is a lot of nitrogen
gas, it will spread and disperse into the oil. In the goc around a well about to be
invaded by gas coning phenomena occur; therefore the model to interpret the output of the
well must include the phenomenon of free surface. This paper proposes a method to measure
the degree of contamination of the oil zone. This compositional data based on a production
well before being invaded in producing interval by the gas cap. The most contaminated area
of oil is close to the goc, as nitrogen is expected to exit the current production from
the well just before being overcome by gas.
</p>projecteuclid.org/euclid.jpm/1504663235_20170905220040Tue, 05 Sep 2017 22:00 EDTAn Analysis on Absolute Velocityhttps://projecteuclid.org/euclid.jpm/1504663236<strong>Jiang Yu</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 3 pages.</p><p><strong>Abstract:</strong><br/>
Light travels through a vacuum at speed c regardless of the motion of the light source or
that of an observer's frame of reference. Consequently, sometime is required for light to
travel from a light source to an observer in space, such that the emission of light and
the observance of the emitted light are not simultaneous. Based on these considerations, a
method for measuring the absolute velocity of an observer is proposed, which could be used
for determining a spacecraft's state of motion from inside a closed cabin. In this study,
a new explanation of the Lorentz transformation is also introduced.
</p>projecteuclid.org/euclid.jpm/1504663236_20170905220040Tue, 05 Sep 2017 22:00 EDTSagnac Effect and Fiber Optic Gyroscopeshttps://projecteuclid.org/euclid.jpm/1504663237<strong>Kecman M</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 2 pages.</p><p><strong>Abstract:</strong><br/>
Sagnac effect (Sagnac interference) is well described by the author Anderson. There is
the original paper translated into English. The generally accepted interpretation is based
on different trails (The difference in the length of roads caused by peripheral speed).
Interference fringes are evenly lined with dark stripes, move with the changing angular
velocity. Theoretical calculations given significant deviations from the experimental
results. Experimental data suggest: Sensitivity (accuracy) of the device is proportional
to the square of the length of optical fiber. The official interpretations (and others)
argue: Sensitivity is proportional to the length of the optical fiber. Exposed is a
mathematical analysis of the experimental data.
</p>projecteuclid.org/euclid.jpm/1504663237_20170905220040Tue, 05 Sep 2017 22:00 EDTThe Spaces of Entire Function of Finite Orderhttps://projecteuclid.org/euclid.jpm/1504663238<strong>Malyutin KG</strong>, <strong>Studenikina IG</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 3 pages.</p><p><strong>Abstract:</strong><br/>
This paper is a continuation of the research of the first author. We consider the linear
topology space of entire functions of a proximate order and normal type with respect to
the proximate order. We obtain the form of continuous linear functional on this space.
</p>projecteuclid.org/euclid.jpm/1504663238_20170905220040Tue, 05 Sep 2017 22:00 EDTUniversal Ode’s and Their Solutionhttps://projecteuclid.org/euclid.jpm/1504663239<strong>Cusack P</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 6 pages.</p><p><strong>Abstract:</strong><br/>
This paper presents a solution to the ODE’s that govern our universe. It also discusses
the Mass Gap, Free Will, the Speed of Light, and the stable universe. The mathematics of
time travel is presented. In addition, the solution to the Second Order DE is presented
when the constants are equal.
</p>projecteuclid.org/euclid.jpm/1504663239_20170905220040Tue, 05 Sep 2017 22:00 EDTThe Electrodynamic Algorithms of Core of Stars and Black
Holeshttps://projecteuclid.org/euclid.jpm/1504663240<strong>Alexandris NG</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 4 pages.</p><p><strong>Abstract:</strong><br/>
The prediction of the magnetic field of Sgr A* by the algorithm of a star's core rotation
is presented in author book “Modified Hawking field” 2010. In the present article author
can see the way. Author can calculate the electrodynamic parameters of the nucleus of
stars and black holes like Sgr A*.
</p>projecteuclid.org/euclid.jpm/1504663240_20170905220040Tue, 05 Sep 2017 22:00 EDTSolitonic Model of the Electron, Proton and Neutronhttps://projecteuclid.org/euclid.jpm/1504663241<strong>Sladkov P</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 9 pages.</p><p><strong>Abstract:</strong><br/>
In paper, which is submitted, electron, proton and neutron are considered as spherical
areas, inside which monochromatic electromagnetic wave of corresponding frequency spread
along parallels, at that along each parallel exactly half of wave length for electron and
proton and exactly one wave length for neutron is kept within, thus this is rotating
soliton. This is caused by presence of spatial dispersion and anisotropy of strictly
defined type inside the particles. Electric field has only radial component, and magnetic
field - only meridional component. By solution of corresponding edge task, functions of
distribution of electromagnetic field inside the particles and on their boundary surfaces
were obtained. Integration of distribution functions of electromagnetic field through
volume of the particles lead to system of algebraic equations, solution of which give all
basic parameters of particles: charge, rest energy, mass, radius, magnetic moment and
spin.
</p>projecteuclid.org/euclid.jpm/1504663241_20170905220040Tue, 05 Sep 2017 22:00 EDTPisot-K Elements in the Field of Formal Power Series over Finite Fieldhttps://projecteuclid.org/euclid.jpm/1504663242<strong>Kthiri H</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 5 pages.</p><p><strong>Abstract:</strong><br/>
In this paper, we will give a criteria of irreducible polynomials over $\mathbb{F}_q[X]$ where $\mathbb{F}_q$ is a finite field. We will present
an estimation for the number of the Pisot-k power formal series, precisely we will give their degrees and their
logarithmic heights.
</p>projecteuclid.org/euclid.jpm/1504663242_20170905220040Tue, 05 Sep 2017 22:00 EDTThe Meaning of “Pi” in the Hebrew Scriptureshttps://projecteuclid.org/euclid.jpm/1504663243<strong>Cusak P</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 1 page.</p>projecteuclid.org/euclid.jpm/1504663243_20170905220040Tue, 05 Sep 2017 22:00 EDTThree Examples of Unbounded Energy for $t\gt0$https://projecteuclid.org/euclid.jpm/1504663244<strong>Santos Godoi VMD</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 10 pages.</p><p><strong>Abstract:</strong><br/>
A solution to the 6thmillenium problem, respect to breakdown of Navier-Stokes solutions and the bounded
energy. We have proved that there are initial velocities and forces such that there is no physically reasonable solution
to the Navier-Stokes equations for, which corresponds to the case (C) of the problem relating to Navier-Stokes
equations available on the website of the Clay Institute.
</p>projecteuclid.org/euclid.jpm/1504663244_20170905220040Tue, 05 Sep 2017 22:00 EDTMathematical Issue in Section 2 of 'On the Electrodynamics of Moving Bodies'https://projecteuclid.org/euclid.jpm/1504663245<strong>Makanae M</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 6 pages.</p><p><strong>Abstract:</strong><br/>
In Albert Einstein’s first published work, ‘On the Electrodynamics of Moving Bodies’, he introduced a set of
equations, namely $t_B−t_A=\frac{γ_{AB}}{c−v}$ and $t′_A−t_B=\frac{γ_{AB}}{c+v}$ which have the form ‘time=distance/velocity’, as a part of the
conclusion of Section 2. In these equations, Einstein implied that an event in a moving system viewed from within
that moving system differs from the same event viewed from a reference stationary system. This perspective became
the fundamental basis of the special theory of relativity (STR).
However, considering Sections 1 and 2 of Einstein’s paper using practical examples and numerical values, we
find that an inconsistency is caused by using ‘relative speed’ as ‘velocity’ in the universal equation ‘time=distance/
velocity’. In the conventional mathematics, only ‘mobile speed’ is admitted as ‘velocity’ in ‘time=distance/velocity’.
This is a pure mathematical issue that should be solved if we continue to use the STR, under the premise that
Sections 1 and 2 of ‘On the Electrodynamics of Moving Bodies’ are correct.
</p>projecteuclid.org/euclid.jpm/1504663245_20170905220040Tue, 05 Sep 2017 22:00 EDTBack to Galilean Transformation and Newtonian Physics Refuting the Theory of Relativityhttps://projecteuclid.org/euclid.jpm/1504663246<strong>Eisenman MN</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 13 pages.</p><p><strong>Abstract:</strong><br/>
This paper refutes the theory of relativity. Previous attempts by others were based on pointing at contradictions
between corollaries of the theory of relativity and reality, often called paradoxes. The main point of this article is to
indicate and correct the error that led scientists at the turn of the twentieth century to formulate the faulty theory of
relativity. In one of his lectures the late Professor Itzhak Bar Itzhak Z”L (Technion, Israel Institute of Technology, Haifa
Israel) compared physicists and engineers by means of an equation.
Engineer=Physicist + common sense
Wherefrom it follows that:
Physicist=Engineer - common sense
As we shall demonstrate below, the theory of special relativity was born out of an error and some lack of common
sense.
Many attempts have been made to refute the theory of relativity. I assume that all of them have dealt with
contradictions between corollaries of the theory of relativity and reality, often called “paradoxes”. The wrong rejection
of two of these paradoxes, the twin paradox and the apparent instability of planetary trajectories due to gravitational
acceleration delay (also termed “retardation”), based on pseudo-scientific arguments led me to realize that the only
practical way to refute the theory of relativity is by displaying the error on which it is based. This error is associated
with Maxwell’s equations.
Maxwell’s equations are a brilliant formulation of the laws of electromagnetism. However, they were derived for
static systems, i.e.; where there was no motion relative to the relevant coordinate system (RCS). At the turn of the
twentieth century some scientists assumed that these equations pertain also to dynamic systems, wherefrom it follows
that the speed of light is constant in all inertial coordinate systems. This in turn led to the Lorentz transformation and
to Einstein’s theory of relativity.
This article shows that Maxwell’s equations do not apply to dynamic systems where there is motion relative to
the RCS. As a consequence of the correction of these equations it is proven below that the Galilean transformation
and Newtonian laws of mechanics are universally valid, not just as low speed approximations.
The theory of relativity was born out of the attempt to force an incorrect form of Maxwell’s equations on all
electromagnetic phenomena. The formulation of the corrected Maxwell equations finally refutes the theory of relativity.
</p>projecteuclid.org/euclid.jpm/1504663246_20170905220040Tue, 05 Sep 2017 22:00 EDTOn Discretizations of the Generalized Boole Type Transformations and their Ergodicityhttps://projecteuclid.org/euclid.jpm/1504663247<strong>Prykarpatski AK</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 3 pages.</p><p><strong>Abstract:</strong><br/>
There is studied an analytical discretization of the generalized Boole type transformations in ℝn and their
ergodicity properties.The fixed points of the corresponding finite-dimensional stochastic Frobenius-Perron operator
discretization are constructed, the structure of the related invariant measures is analyzed.
</p>projecteuclid.org/euclid.jpm/1504663247_20170905220040Tue, 05 Sep 2017 22:00 EDTA Viscosity Hypothesis – That the Presence or Absence of Viscosity Separates Relativistic and Quantum Systems Based on the Simplest Possible Theory of Everythinghttps://projecteuclid.org/euclid.jpm/1504663248<strong>Lawrence M</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 3, 25 pages.</p><p><strong>Abstract:</strong><br/>
A simple framework for our universe in which the basic constituents act as a background upon which actions
by composite particles, composed of those same constituents in motion, act and whose presence or absence from
volumes give rise respectively to relativistic and quantum systems. Where the background exists, all composite
particles experience energy loss in motion due to viscosity and a maximum velocity and where the background does
not exist, there is no energy loss in motion and no maximum velocity. The framework is based on the simple premises
of the one size of fundamental building block, the meon, two types of energy, one composite loop form of particle and
only three dimensions. Composite loops formed from the unit meon building blocks during different inflation events
produce different sizes of fermions, nucleons and atoms, but produce a type of universe with symmetries similar to
ours as the inevitable outcome of a successful inflation event. The rate of expansion after a big bang is a function of
the size of the electron formed during inflation and that size defines whether the expansion will eventually succeed
or fail.
Key paradoxes are shown not to be paradoxes. This framework explains what energy and inertia are, how
positive-only mass arises, spin units of ½ h, electrons with 720° of rotation, charge unit sizes, why particles have
internal magnetic moments, the second law of thermodynamics and the arrow of time, where there is a maximum
speed for particles, why stable states exist, why tired light may reduce the need for dark energy or the size of the
universe, why there is no matter/anti-matter imbalance, what dark matter is likely to be, the physical reality underlying
zero point energy, why physics fails nowhere and why there is only one universe with threefold symmetry within our
nucleons.
</p>projecteuclid.org/euclid.jpm/1504663248_20170905220040Tue, 05 Sep 2017 22:00 EDTPolignac's Conjecture with New Prime Number Theoremhttps://projecteuclid.org/euclid.jpm/1504922730<strong>YinYue Sha</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 4, 5 pages.</p><p><strong>Abstract:</strong><br/>
There are infinitely many pairs of consecutive primes which differ by even number En.Let Po(N, En) be the
number of Polignac Prime Pairs (which difference by the even integer En) less than an integer (N+En), Pei be taken
over the odd prime divisors of the even integer En less than √(N+En), Pni be taken over the odd primes less than
√(N+En) except Pei, Pi be taken over the odd primes less than √(N+En), then exists the formulas as follows:
Po(N, En) ≥ INT {N × (1-1/2) × Π (1-1/Pei) × Π (1-2/Pni)} - 1
≥ INT {Ctwin × Ke(N) × 2N/(Ln (N+En))^2} - 1
Po(N, 2) ≥ INT {0.660 × 1.000 × 2N/(Ln (N+2))^2} - 1
Π (Pi(Pi-2)/(Pi-1)^2) ≥ Ctwin=0.6601618158…
Ke(N)=Π( (1-1/Pei)/(1-2/Pei))=Π( (Pei-1)/(Pei-2)) ≥ 1
where -1 is except the natural integer 1.
</p>projecteuclid.org/euclid.jpm/1504922730_20170908220533Fri, 08 Sep 2017 22:05 EDTCall to Repel the Physical Theories of the 20th Centuryhttps://projecteuclid.org/euclid.jpm/1504922731<strong>Sujak P</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 4, 23 pages.</p><p><strong>Abstract:</strong><br/>
In this paper, the substance of gravity and inertial forces is debunked. The substance of mass is recovered. The nature
of time in physics is revealed. The reality of the double-slit experiment is revealed. This paper shows that Quarks and
Higgs boson hardly exist. This paper documents that, for past four hundred years, there is no distinguished physicist
who would not have recognized the exist-ence of the ether. It shows that filling the space of the Universe with swirling
ether is all that is needed for the self-evolution of the Universe. It further provides an overview of the opposition of the
physicists against the mainstream physical image of the world for the past hundred years. And finally, it documents
the basic historical, philosophical and physical reasons for denial of the main physical theories of the 20th century.
</p>projecteuclid.org/euclid.jpm/1504922731_20170908220533Fri, 08 Sep 2017 22:05 EDTMatlab Source Code for Species Transport through Nafion Membranes in
Direct Ethanol, Direct Methanol, and Direct Glucose Fuel Cellshttps://projecteuclid.org/euclid.jpm/1504922732<strong>Summerfield JH</strong>, <strong>Manley MW</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 4, 5 pages.</p><p><strong>Abstract:</strong><br/>
A simple simulation of chemical species movement is presented. The species traverse a Nafion membrane in a
fuel cell. Three cells are examined: direct methanol, direct ethanol, and direct glucose. The species are tracked using
excess proton concentration, electric field strength, and voltage. The Matlab computer code is provided.
</p>projecteuclid.org/euclid.jpm/1504922732_20170908220533Fri, 08 Sep 2017 22:05 EDTNew Near Open Set In Topological Spacehttps://projecteuclid.org/euclid.jpm/1504922733<strong>Sayed MEL</strong>, <strong>Mansour FHAL</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 4, 8 pages.</p><p><strong>Abstract:</strong><br/>
The aim of this paper is to introduce new class of near open sets namely, $b^*$-open set. And studs same of their
properties, also we study the relation between this class among this classes. Also, we introduce some topological
properties and we shall study same of their properties.
</p>projecteuclid.org/euclid.jpm/1504922733_20170908220533Fri, 08 Sep 2017 22:05 EDTIdentification of Trends and Wave Regularities according to Statistical
Data of Fluctuations of Mass of Glaciershttps://projecteuclid.org/euclid.jpm/1504922734<strong>Mazurkin PM</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 4, 8 pages.</p><p><strong>Abstract:</strong><br/>
The method of identification is shown on the example of tabular data of measurements of six parameters of
subgroup of EEE on fluctuations in 2013 at balance of mass of 2528 glaciers of Earth. The equations of a trend and
oscillatory indignations on the basis of steady laws on the generalized wave function in the form of an asymmetric
wavelet signal with variables of amplitude and the period of fluctuation are received. Schedules of components of
the generalized model of a wavelet signal allow to see visually a picture of mutual influence of all six parameters
of subgroup of EEE at fluctuations of mass of glaciers. On the revealed equations it is possible to carry out the
amplitude-frequency analysis.
</p>projecteuclid.org/euclid.jpm/1504922734_20170908220533Fri, 08 Sep 2017 22:05 EDTIdentification of Wave Regularities According to Statistical Data of Parameters of 24 Pulsarshttps://projecteuclid.org/euclid.jpm/1504922735<strong>Mazurkin PM</strong>. <p><strong>Source: </strong>Journal of Physical Mathematics, Volume 7, Number 4, 14 pages.</p><p><strong>Abstract:</strong><br/>
The method of identification is shown on the example of tabular these measurements of six parameters at 24
pulsars. The equations of a trend and oscillatory indignations on the basis of steady laws on the generalized wave
function in the form of an asymmetric wavelet signal with variables of amplitude and the period of fluctuation are
received. On the remains it is possible to receive a set of microfluctuations and to bring identification to an error
of measurements. Schedules of components of the generalized model of a wavelet signal allow to see visually a
picture of mutual influence of all six parameters of pulsars. On the revealed equations it is possible to carry out the
amplitude-frequency analysis. Quality of basic data is estimated by rank distributions of values of parameters of
pulsars. Thus ranging of values of parameters on a preference preorder vector “better→worse” is carried out in the
beginning, the rating of pulsars is formed further.
</p>projecteuclid.org/euclid.jpm/1504922735_20170908220533Fri, 08 Sep 2017 22:05 EDT