General Relativity Papers
This page provides links to papers on how to simulate relativistic orbits, in the domains of both the very big and the very small. The first general relativity paper, entitled "A Numerical Solution of the Relativistic Kepler Problem," describes the algorithms necessary to implement Schwarzschild-type orbits. The second general relativity paper presents the results for the more complicated Kerr orbits.
The Schwarzschild paper can be accessed by clicking on this link. Each GIF file contains a page from the actual journal and collectively are an attempt at seeing how such a presentation works on the web.
This link will take you to the second general relativity article made available by Computers in Physics, published by the American Insitute of Physics, on a numerical application of the General Theory of Relativity, entititled "Simulating Relativistic Orbits about a Black Hole." The paper describes how to numerically simulate Kerr orbits. There, you can download the text and figures of the journal article in Postscript, in Adobe Acrobat's PDF format, or in a TeX ASCII text file.
To download a PC executable of an orbit program that numerically
generates Kerr (or Schwarzschild) orbits, please click on keppap5.exe. To download an ASCII file
containing the FORTRAN source code, please click on keppap5.for.
Atomic Theory Papers
As a lead in, I should state that I wrote my first atomic theory paper, entitled "On a New Theory of Atomic Circular Orbits of Atoms with One Satellite," several years ago, before I actually understood as much GR theory as I do now. Some of the points are stretched and the paper is rather pedantic. Actually, I feel the first few sections makes a good learning paper for the simple Bohr model of the atom. I don't believe any of the derivations are all out wrong from a specially relativistic point-of-view, but in my second paper, which applies general relativity for modeling the hydrogen atom, I show how special relativity alone is incomplete for modeling the electron orbitals.
My first paper deals with applying special relativity theory to atomic structure. It describes how special relativistic effects can be applied to the electron's mass and charge in a hydrogen atom. The paper can be accessed at the following link.
The following link will take you to the second of my atomic theory papers entitled "On Quantized Electronic Schwarzschild and Kerr Relativistic Models for the Spherical Orbitals of Hydrogen." This paper presents my views on how the spherical orbitals of a hydrogen atom can be modeled using quantized versions of Schwarzschild and Kerr GR theory. It may afford to us the route of merging QM and GR.The general relativistic models produce energy equations for the spherical orbitals of hydrogen that predict energies much closer to the observed energies as compared to the currently accepted "best" energy predictions that QM has produced from using the Dirac energy equation. To access this paper, select this link.
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