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Originally Posted by AntonioLao |
Antonio, you're a gem cobber! ok, a challenge, first i have to learn latex; i've tried to stay clear of it's code like the plague all my career using word and mathtype instead, but i see there's no other choice; then i can write specific equations about what self-field theory sees mathematically. but (as usual) let me hand-wave furiously to see if i can describe in words what the physics is.
first an example EM Self-Field Theory: we have two charges, say the electron and the proton of the hydroegn atom, (or the 'ephectron' and the 'phroton' of the proton-but we shall stay with the atom for now for simplicity). in both cases, the electron and the proton, we see each charge performs TWO orthogonal motions that have different signs associated with their rotations (rotations is the simplest case but not the only case-as long as the motion is periodic and it obeys the dynamic equilibrium given by Maxwell's equations), a bit like forward and backward waves in a closed microwave oven. each of these (particle) motions (an orbital and a cyclotron path) is caused by photons travelling to and fro between the two charges, i.e two field motions that are spiral in form where the masses are unequal as in the hydrogen atom. so what we see here is that these two particle motions are given by your Lorentz equation above; the first of your equations. each motion can be associated with either an E-field or a B-field. each particle sees the fields that flow between them as an outgoing flow of photons, i.e. an E-field and an incoming flow of photons, a B-field.
ok, so in essence what we have is a MONOPOLE system comprised of two charges. we could add extra MONOPOLES or even neutral particles such as neutrons by allowing a dipolar representation. Alternatively by including a 'strong nuclear' field, we coulld model the nuetron as a system of quraks. but that's another story. for now we want to zero in on the fact that the system is comprised of MONOPOLES.
now this is where gravity comes in!! imagine these atoms are treated as DIPOLES. now the atoms each have an incremental charge that can be expressed as a radial DIFFERENTIAL of charge. likewise, there are many atoms that comprise say the earth and the sun, so we need to INTEGRATE over all the atoms to get the forces which are still able to be put into a LORENTZ form as above. we have both an integral and a differential in its gravitational form compared with the atomic forces.
so what we have is an equation of the long-range dipole-dipole forces between earth and sun, which now is very similar to, but not exactly like the EMSFT forces between the electron and the proton of the hydrogen atom. in the case of hydrogen atom, there is a cyclotron motion that occurs in the r, theta plane (sorry i need to go mathematical here) whereas in the gravitational case, the cyclotron motion occurs in the r, phi plane.
what this means is that as in the case of the perihelion of mercury, the cyclotron motion can add to the orbital rotation, which doesn't happen in the case of the electron say in the hydrogen atom because of the plane of rotation of the cyclotron motions in each case.
so this describes the essentials of garvitational self field theory at the solar system level (GSFT1)
HOWEVER, its only the START since there are nuclei inside each atom and each nuclei attracts (or repels) each other nuclei at the galaxy level. BUt this requires a THREE_WAY interaction, so it requires a long-range nucleus-nucleus-nucleus interaction. it turns out that this gravitational form can ALSO be put into the form of a LORENTZ eqn but in this case, we need TWO DIFFERENTIALS and TWO INTEGRATIONS to specify the force (GSFT2).
AGAIN at the supercluster level, we need a FOUR_WAY interaction and THREE DIFFERENTIALS and THREE INTEGRATIONS to specify this gravitational force in terms of a LORENTZ equation (GSFT3).
FINALLY, at the universal level, we find a FIVE-WAY effect, and FOUR DIFFERENTIALS, and FOUR INTEGRALS to specify a universal effect in terms of a LORENTZ equation (GSFT4)!!
(so what is GSFT5??? a multiverse system ??)
so to specify the TOTAL gravitational effect at any point in space-time, we need to simply SUM all the gravitational effects, PLUS all the atom, weak nuclear, strong nuclear, etc, etc, etc!!
so, if you can understand all that, go and have a beer, you need it!! and so do i!! see ya soon.