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Dec 01, 2023Open    Access

Indefinite Dot Quotients in 3-Dimensional Space

Jixing Wang
Up to now, there is a long time problem that dot product has no corresponding division. In order to solve this problem, in this paper, indefinite dot quotients are introduced as extensive inverse operations of dot products, which solve the problem in 3-dimensional space that the quotient of a number and a vector on dot product does not exist from another angle. Some basic properties, and some expected operation properties, and two forms of geometric expressions and six coordinate formulas of ind...
Open Access Library J.   Vol.10, 2023
Doi:10.4236/oalib.1110922


Mar 01, 2023Open    Access

New Approach to the Creation of General Theory of Relativity

Valentin V. Mdzinarishvili
It has to be noted that Albert Einstein used the extremal property of geodesic line when developing the general theory of relativity (GTR). In the following years, after the development of the GTR, it became known that the expression for a geodesic line can be replaced by the Euler-Lagrange equation. In the present work, the extremal property of the separatrix of a mathematical pendulum is used to develop a new approach to the general theory of relativity. The pendulum separatrix satisfies the E...
Open Access Library J.   Vol.10, 2023
Doi:10.4236/oalib.1109463


Nov 30, 2022Open    Access

Indefinite Cross Divisions of Vectors in Natural Space

Jixing Wang, Lan Cheng
In this paper, in order to solve the problem that cross product has no corresponding division in natural space, indefinite cross divisions are firstly introduced as the inverse operations of cross products, which solve the problem from another angle. Then a lot of basic properties of indefinite cross divisions are obtained, such as the Conversion Formulas between left and right indefinite cross quotients, and linear operation properties, where some are expected and some are special. Especially, ...
Open Access Library J.   Vol.9, 2022
Doi:10.4236/oalib.1109415


Oct 21, 2021Open    Access

A New Way to Calculate Gravity Force from Mass Total Energy

Keli Kou
This paper introduces a new way to calculate gravity force from mass total energy, instead of from matter of mass. By introducing total energy (E1 and E2) of the two objects into Newton’s gravitational theory, Newton’s gravitational formula can be modified from F = GM1M2/r2 as F = GE1E2/(C4r2). E1 and E2 are the total energy of the two objects and C is the light speed. Then this formula can be furt...
Open Access Library J.   Vol.8, 2021
Doi:10.4236/oalib.1107987


Jan 22, 2021Open    Access

Mathematical Procedures for the Non-Coplanar Tangential Transfers between Circular Orbits

A. A. Alqarni
To transfer a satellite or a spacecraft from a low parking orbit to another orbit requires one of the many orbital transfers. These orbital transfers need to determine some orbital elements of the initial and final orbits as perigee and apogee distances. The transfers compete to achieve the transition with minimal consumption of energy, transfer time, as well as the highest accuracy of transition. In the present research, certain mathematical procedures implementable with the help of computers w...
Open Access Library J.   Vol.8, 2021
Doi:10.4236/oalib.1107101


Sep 29, 2018Open    Access

A Snapshot of a Homogeneous Spinning Universe

Barbaro Quintero-Leyva
A snapshot of the circular speed as a function of the radius in a spin-ning-homogeneous spherical universe was obtained using a mass-dependent characteristic-acceleration in the Modified Newtonian Dynamics (MOND paradigm as a modified 2nd law of Newton) with and without considering the impact of the relativistic speed. To consider the impact of the relativistic speed the Extended Newtonian Theory (E
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Open Access Library J.   Vol.5, 2018
Doi:10.4236/oalib.1104895


Dec 19, 2017Open    Access

Strength Limit of Earth: A New Fundamental Phenomenal Factor for Universe’s Precise Scientific Perceptions and Descriptions

Mohammad Salehi Alashti
Intuition of many different unsolved problems and questions remains the “sorest troubles” in basis and applied sciences particular in physics today. Also presented physical models doesn’t describe world’s framework aright and these make lots of defects to understand sciences and solve scientific problems. Therewith no one can formulate the complicate relation(s) between all existences’ and sciences’ components. However,
...
Open Access Library J.   Vol.4, 2017
Doi:10.4236/oalib.1104034


Nov 14, 2017Open    Access

Correcting Some Misinterpreted Concepts and Phenomena in Classical and Relativistic Mechanics (Foundational Concepts and Related Phenomena, Generally)

Sheima’a Thiyab Attiyah Al-Uboodi
The topic undertaken in this paper (and probably in some other papers if required for possible future debates) is multi-branched and with various interrelations. It is concerned with the identification and correction of miscellaneous misinterpreted concepts, and with what may appear as some embezzling phenomena, in classical and relativistic mechanics. These include revising the concepts of the indepen
...
Open Access Library J.   Vol.4, 2017
Doi:10.4236/oalib.1103234


Aug 11, 2017Open    Access

About the Mass

Angel Fierros Palacios
In this paper it is proposed that the mass of the bodies has its origin and nature in the reciprocal gravitational interactions between them; and also by some kind of effect over the size of the celestial bodies due to the very big distances in space, as seemed each other at a distance. In a Dynamic Theory of Gravitation [1], it is proved that the fundamental velocity is the escape velocity due to the apparent size of the interact
...
Open Access Library J.   Vol.4, 2017
Doi:10.4236/oalib.1102835


May 17, 2017Open    Access

About the Universe

Angel Fierros Palacios
In this paper, it is proposed that the size of the classical electron, which is a stable elemental particle with the smallest concentration of matter in Nature, can be used to explain the very big size of the Universe. In order to reach that objective, the
...
Open Access Library J.   Vol.4, 2017
Doi:10.4236/oalib.1103223


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