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World Journal of Engineering
Research and Technology

An International Peer Reviewed Journal for Engineering Research and Technology

ISSN 2454-695X

Impact Factor : 5.924

ICV : 79.45

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Indexing

Abstract

THE MATHEMATICAL FRAMEWORK FOR THE PHENOMENON OF OPTICAL CONFINEMENT

Wim Vegt*

ABSTRACT

Since the introduction of the LASER in 1960, the first laser has been built by Theodore H. Maiman at Hughes Research Laboratories, several attempts have been made to find a mathematical foundation for the unique phenomenon that the speed of light for a LASER beam equals zero in the transverse directions of propagation. Till now not successfully. It is well-known that Maxwell‘s famous 4 equation do not have the mathematical Framework to solve this phenomenon of a LASER beam. For this reason, a new electromagnetic theory has been introduced, based on Newton‘s fundamental principle of equilibrium. Applying Newton‘s second law of motion at a LASER beam, results in a new mathematical framework which solves this fundamental problem in Physics... The ?New Theory? which will be introduced in this article has been based on the fundamental principle of ?Perfect Equilibrium within the Universe?. A fundamental universal principle in Physics which has already been expressed by Newton‘s famous 3 equations, published in 1687 in ?Philosophiae Naturalis Principia Mathematica. Newton‘s famous Equations in 3 dimensions will be published in this article in an extension into 4 dimensions. Newton‘s 4- dimensional law in the 3 spatial dimensions results in an improved version of the classical Maxwell Equations and Newton‘s law in the 4th dimension (time) results in the quantum mechanical Schrödinger wave equation (at non- relativistic velocities) and the relativistic Dirac equation. We recognize the century of Albert Einstein who triggered in 1905 the large changings in thinking with his famous theory of Special Relativity represented in his publication ?On the Electrodynamics of Moving Bodies?. Manifesting a ?New Theory? and a ?New Way of Thinking? with important contributions of Hendrik Lorentz, Henri Poincaré and Hermann Minkowski. It is recognizable that with the sudden change in thinking in a new period, a new kind of mutual common sense and a general agreement by many scientists of the new theory and the new way of thinking arises. The ?New Theory? will be protected by common sense and mutual agreement. This new way of thinking settles down in the scientific society and become immovable. Other options disappear and simply do not exist anymore. Which will make it almost impossible for the following ?New Theory? to rise. The ?New Theory? which will be introduced in this article has been based on the fundamental principle of ?Perfect Equilibrium within the Universe?. A fundamental universal principle in Physics which has already been expressed by Newton‘s famous 3 equations, published in 1687 in ?Philosophiae Naturalis Principia Mathematica. Newton‘s famous Equations in 3 dimensions will be published in this article in an extension into 4 dimensions. Newton‘s 4- dimensional law in the 3 spatial dimensions results in an improved version of the classical Maxwell Equations and Newton‘s law in the 4th dimension (time) results in the quantum mechanical Schrödinger wave equation (at non-relativistic velocities) and the relativistic Dirac equation.

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