Origin of "De Broglie" Waves (Calculations in Mathematica 11.0) Publisher Wolfram

Abstract

Printed Calculations in Mathematica 11.0 of the Article: "Origing of de Broglie Waves" The famous 1927 Solvay Conference was considered a turning point in the world of Physics. The scientific realists like Albert Einstein had lost and the instrumentalists like Niels Bohr had won the fundamental conflict. Since then Physics has followed the path of the instrumentalists in which Quantum Physics has been determined by the concept of Elementary Particles and Probability Waves. Until May 2013, when for the first time a photo had been made of the Probability Waves Inside the Hydrogen Atom . It should be impossible to make a photo of a non-existing complex probability wave with mass zero But the fact could not be denied anymore that scientists had succeeded to make the “complex” and the “non-existing” quantum mechanical “Probability Wave” visible. Since the Copenhagen Interpretation there is still no clarity about the physical interpretation of the Quantum Mechanical “Probability Wave Function”This Manuscript describes a third unknown interpretation of the Quantum Mechanical “Probability Wave Function”. A fundamental physical interpretation that will change the generally accepted Copenhagen Interpretation. This Manuscript will answer the fundamental question: Does an alternative theory exist in which the existence of this particular photo, of the Quantum Mechanical Probability Wave within the Hydrogen Atom, could be explained. And that the famous photo of the Hydrogen Atom can be explained in a logical and a simple way. To find the answer, we have to go back in time. Back 300 years in time to the moment when Isaac Newton discovered the beauty and one of the many secrets of the light. The moment when science walked away from light. And we return to the fundamental question: “Is it possible to build Matter out of Light (confined electromagnetic waves)?” To answer this question if it is possible to build Matter out of Light, we first have to answer the question how we have come to this world of Probability Waves and Elementary Particles and Quantum Physics.Louis de Broglie described in 1924 in his PhD thesis the wave properties of matter. Erwin Schrödinger published in 1926 the well-known Schrödinger wave equation with the characteristic spherical and elliptical wave solutions. To describe these material waves, the immediately and first explanation was: “There is only one possibility. These are “Electromagnetic Waves”. De Broglie Waves are ” Light Waves”. Because these were the only waves, known in the world of Physics, that could travel through vacuum. But there was a fundamental problem. These material waves, discovered by Louis de Broglie and mathematically described by Erwin Schrödinger could never be solutions of the well-known 4 linear equations of James Clerk Maxwell. The material waves were spherical and elliptical solutions of confinement and that was impossible for the solutions of the linear Maxwell Equations. According to the linear Maxwell Equations, superposition is possible but Electromagnetic Interaction and Electromagnetic Confinement can only be described by a set of non-linear differential equations. To solve this fundamental problem a new set of 3 non-linear Electromagnetic Equations (Equation 5 in this manuscript) has been developed which replaces the well-known 4 linear Maxwell Equations and the possible solutions of Equation (5) are also Spherical and Elliptical solutions of confinement. Table 1 in this manuscript presents a number of Electromagnetic Spherical Confinements as solutions of Equation 5a .A second problem was that the model of the atom of Bohr could not hold. How could an electron be everywhere at the same time in a kind of a spherical shell surrounding the nucleus. And be a particle at the same time. And Bohr found a compromise to declare the “De Broglie” waves to be the probability waves. Two problems were solved. Bohr’s planetary model could hold. And there was a name for the unknown material waves, discovered by Louis de Broglie and mathematically described by Erwin Schrödinger. The theory of “Probability Waves, Elementary Particles and Quantum Physics” had been created. A new equation has to be found. In this article it has been claimed that this missing equation is Equation (5). Because the Theory of General Relativity has been built on the Einstein-Maxwell Equation, a new equation has to be found that describes in a generalized way the interaction between light and matter. This missing equation is Equation (5-a).

The Transformation of LIGHT into MATTER

“…In which 1 K is an arbitrary constant. For the divergence-free function ( ) ,1 f x y = , the solutions (16) and (17) are also the solutions for the well-known Maxwell Equations. For the non-divergence-free functions ( ) , f x y , the solutions (16) and (17) In general a LASER beam can be described with a Gaussian intensity division for the electromagnetic field in the plane perpendicular to the direction of propagation.…”

“…The total radiation pressure, caused by the confined electromagnetic radiation, on mirror A equals: ( ) 16 When the system of "Two Mirrors B -A" moves in the direction of the positive z-axis,…”

The Transformation of LIGHT into MATTER

“…In which 1 K is an arbitrary constant. For the divergence-free function ( ) ,1 f x y = , the solutions (16) and (17) are also the solutions for the well-known Maxwell Equations. For the non-divergence-free functions ( ) , f x y , the solutions (16) and (17) are not solutions for the Maxwell Equations, which requires divergence-free electromagnetic waves, propagating with the speed of light In general a LASER beam can be described with a Gaussian intensity division for the electromagnetic field in the plane perpendicular to the direction of propagation.…”

Stability Conditions for Electromagnetic Pulse Generation

“…K is an arbitrary constant. For the divergence-free function ( ) ,1 f x y = , the solutions (16) and (17) are also the solutions for the well-known Maxwell Equations. For the non-divergence-free functions ( ) , f x y , the solutions (16) and (17) are not solutions for the Maxwell Equations, which requires divergence-free electromagnetic waves, propagating with the speed of light In general a LASER beam can be described with a Gaussian intensity division for the electromagnetic field in the plane perpendicular to the direction of propagation.…”

“…The required Electromagnetic Field Configuration (Ref. [16], [17]), which is a mathematical solution of the "Unified 4-Dimensional Hyperspace Equilibrium Equation" (5) equals in…”