Physical Mathematics

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.

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.

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.

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.

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.

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.

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

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*.

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.

In this paper, we will give a criteria of irreducible polynomials over q[X] where 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.

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

In Albert Einstein’s first published work, ‘On the Electrodynamics of Moving Bodies’, he introduced a set of equations, namely 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.

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.

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.

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.