SECTION FOUR

A UNIFIED FIELD THEORY

The goal of a Unified Field Theory (UFT) is to derive a set of equations that includes all four fundamental forces of nature - weak and strong gravity, weak and strong nuclear forces (i.e. electromagnetism - electricity and magnetism). The 3BP does just that because the equations of motion for electrostatics and gravity are both inverse squared forces, differing only by a constant of proportionality. Thus, the 3BP is the UFT, with the only dubious thing being how to differentiate weak and strong gravity. ( ONE )

The intention of this section is to show that the 3BP is even more ubiquitous than a UFT. Having long since accepted the applicability of the 3BP in so disparate realms - astrophysics and atomic physics - it's logical that, according to fractal theory at least, this 3BP scheme applies to every discipline in between these extremes. The original Bohr model of the atom (one electron orbiting a proton) was taken straight from Celestial Mechanics, as the Two Body Problem. It is now possible to do the same with the 3BP, starting from the very beginning.

The motivation for this research is to break the gridlock that is pervasive throughout the natural sciences. ( 11 ) Virtually every fundamental discipline is now strictly based upon statistical methods - from astronomy to solid state physics, from quantum mechanics to quantum chemistry. What is not statistics or probability theory is modeled numerically on powerful computers using analytical approximations.

Statistics and numerical approximation are good tools but they have limitations. They give no insights into actual physical processes and in their generality make it impossible to perceive the finer aspects of physical and dynamical systems.

This research endeavors to qualify and quantify ( FIVE ) the vagaries of statistical methods by suggesting more detailed methods for these things - e.g. a 3BP model instead of the Bohr 3BP. Atomic bonds are no longer a vague concept, but a "free return" orbital between two nuclei positioned as the primary bodies in a 3BP. ( 22 ) An even more interesting model is proposed for the semiconductor transistor device. ( 21 )

 

 

The place of Celestial Mechanics in modern science

 

Models are very powerful research tools. The 3BP is a well known system, with many applications clearly evident in nature. A model of the transistor, say, that shows close parallels between the statistical model and the 3BP has the potential of giving solid state physicists a better understanding of their field. This, in turn, opens a virtual bonanza of new ideas that promise to reveal the physical mechanisms that happen in the transistor. Electrons and "holes" don't migrate across a "conduction band," particles on specific trajectories traverse a region analogous to the N Body Problem where the equations of motion reduce to a fluid - i.e. the so called conduction band. A good model can show how the methods used to get spacecraft from Earth to Mars efficiently can be used to get an electron from the emitter to the collector in a transistor. Likewise for the basic processes in quantum physics and quantum chemistry.

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© 2004 WH Clark