In reply to Jones Beene's message of Fri, 3 Mar 2006 17:58:17 -0800: Hi, [snip] >Didn't Hartree work all of this out long before R. Mills came >along, or am I missing something?
I wouldn't know, I have barely heard of Hartree, and have absolutely no idea of what he did. However following your suggestion I'll try to dig something up. > ... other than that you are now >seeming to prefer a torroid visualiztion to a lissajous? The two are not necessarily mutually exclusive. You can have a "wobbly" or twisted toroid. If Frank is right about the aether, then any closed form incorporating the correct amount of motion which is subject to equal pressure over it's entire surface should be able to exist, even if only for a short time (heavy particles?). >Randy >won't like it that you're getting too far afield from his >two-dimensional OS.... Heh, I doubt that he liked the Lissajous figures either. ;) > >For those who aren't focused on these details to Robin's >intensity, it's worth noting that the classical electron radius is >1/137 as long as the Compton wavelength of the electron, so one >would expect this ratio to reappear as a factor in the equivalent >photon energies. Indeed. > >Thanks to alpha - we have tied-up the 3 most basic length scales: >Bohr radius - about 5 × 10^-11 meters >Compton wavelength - about 4 × 10^-13 meters >Classical electron radius - about 3 × 10^-15 meters > >.... each of which is 1/137 as big as the previous one. But this >has been known for some time. ...but putting it all in a toroid makes it very neat, and allows the electron to have two radii, and two energies concurrently, which is exactly what it has. However a small sphere with the classical electron radius orbiting a proton at the Bohr radius would meet those criteria too, and have the advantage that it's mass would "swing" around the proton so that the center of mass of the system is displaced, resulting in the "reduced mass" of the electron. This isn't true of a toroid (as near as I can figure). However the toroid has the advantage that it doesn't radiate, while a spherical electron should. > >The next step up in the geometric scale is somewhat import for >ZPE, no? 137 Bohr radii turns up in the Casimir integral... and >one might suspect that it marks the approximate dividing line >between Grimer's beta-aether and alpha aether and that may be the >optimum size for the "exciton"... > >... how excitin' > >Jones > Since hydrogen gas is very clearly "alpha aether", and it's dimensions are roughly that of the Bohr radius, I think your dividing line is probably in the wrong place. Regards, Robin van Spaandonk http://users.bigpond.net.au/rvanspaa/ Competition provides the motivation, Cooperation provides the means.
