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SELF-FIELD THEORY AND PERPETUAL MOTION.

EMSFT provides an eigenvalue solution to the hydrogen atom. The solution is discrete and this comes about becuase the masses of the electron and proton are not equal. We may take an analogy of the problem to a see-saw in which two different masses are being balanced. There are distances corresponding to a balance of forces. These distances are not continuous in form but discrete. The illustrated mechanical arrangement is known as a fulcrum. The diagram at the right was drawn by Galileo and shows that he and Aristotle came tantilizingly close to understanding the dynamics of pertpetual motion, the self-motion that drives atoms.

The fact is that it is only now that we are beginning to understand how complex the dynamics of the atom is in reality. Recently, using the solution of the hydrogen atom, it has been possible to theoretically estimate the mass of the photon 41 kBytes   . This estimate is supported by a second estimate obtained from the perihelion of Mercury, a 'ground state' of the solar system. The estimate based on the self-field theory of the hydrogen atom involves the transit of the photon between electron and proton many times each cycle of the atomic motion. It turns out that the actual motions of electron and the proton are based on coherent collisions between photon and electron, and photon and proton. This implies that the actual orbits that had been previously considered exactly circular, as in Bohr's theory, are somewhat polygonal, a circular shape approximated by a series of straight lines between collisions. Is there any proof of such an orbital shape? In fact there is.

LANDE G-FACTOR

The theory of self-fields depends on periodic motions, and this includes the photon's many transits. When we look at the simple solution based on an 'infinite mass' proton, we find that the photon does NOT perform a discrete number of transits per cycle of the electron and proton. If we use the best known value of the fine-structure constant a we find that there are indeed 54 transits of the photon per cycle to within a very accurate degree. Thus we require a polygon of 54 sides. When we look at the magnetic moment of this shape we now find that the difference between the Bohr magneton and the actual mognetic moment of this polygonal shape is given by the Lande g-factor to very close approximation. So we find that the missing area is due to the geomtric difference between a circle and an exscribed polygon of 54 (assumed) equal sides.

This does not make the simple 'infinite mass' proton theory of EMSFT any less valuable by the way, as we can model the proton via three quarks using strong forces if we wish and repeat the calculations to see if the solution gives us the difference in area to a higher accuracy.

What we have found is that the hydrogen atom does indeed obey a quantum physics.

So we

 

 

 

 

© Copyright A Fleming 2005

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Archimedes Estimate of Pi

fulcrum.