In reply to Frederick Sparber's message of Sat, 16 Dec 2006 05:37:50 -0700: Hi Fred, [snip] >First cut response, Michel: > >1, Compton wavelength of the electron = h/mc = 2.427E-12 meters > >2, 1/alpha (137.03) * 2.427E-12 = Orbit Wavelength = 3.3258E-10 meters > >3, Orbit Radius = 3.3258E-10/2(pi) = 5.293E-11 meters. > >4, Electron Orbit Velocity c/137.03 = 2.189E6 meters/second > >How do you get a "fractional orbit" without changing the Fine Structure >Constant, Alpha? > >Fred
In a nut shell, the problem you raise is only a problem if one insists on the De Broglie wave reconnecting with itself after a single circuit of the atom. By allowing an additional vibrational mode for the electron, a three dimensional Lissajous figure is created which means that the De Broglie wave doesn't reconnect with itself until additional circuits of the atom have been accomplished. This then allows shrunken orbits without changing alpha. The math is all worked out at:- http://users.bigpond.net.au/rvanspaa/New-hydrogen.html . Regards, Robin van Spaandonk http://users.bigpond.net.au/rvanspaa/ Competition provides the motivation, Cooperation provides the means.
