Title: Retrodicting the electron and neutron masses with a discrete fractal paradigm Post by: rloldershaw on March 29, 2011, 03:04:05 AM Below are some retrodictions using a discrete fractal cosmological paradigm. Consider the basic Kerr metric equation: J = aGm^2/c, where J = total momentum a = dimensionless rotational parameter. If J = (j{j+1})^1/2 h-bar and we use G = G' = 2.18 x 10^31 cm^3/g sec^2 [call it the strong force coupling constant, actually Atomic Scale GR constant] then: m = (j{j+1}/a^2)^1/4 (h-bar c/G')^1/2. -------------------------------------------------------- PROTON For j = 1/2 and a = 4/9 [i.e., ~1/2], m = 942.935 MeV [proton mass = 938.3 MeV] We notice that (h-bar c/G')^1/2 has the form of the Planck mass. ----------------------------------------------------------- ELECTRON If we choose (alpha^2 e^2/G')^1/2 as our fundamental mass, in place of (h-bar c/G')^1/2, i.e., replace (h-bar c) with (alpha^2 e^2)and call it the "Einstein mass", our mass equation becomes m = (j{j+1}/a^2)^1/4 (alpha^2 e^2/G')^1/2. For j = 1/2 and a = 7/12 [again ~1/2], m = 0.5131 MeV [electron mass = 0.511 MeV] ------------------------------------------------------- NEUTRON Neutron mass = proton mass + 3(Einstein mass) = 939.5354 MeV [neutron mass = 939.566 MeV]. ----------------------------------------------------- The electron mass, and the proton-neutron mass difference, have never been explained. For scientists who would like to see a more detailed summary of these theoretical results, I have a brief 3-page summary that explains the retrodictions in more detail. If you send me an email I will attach a doc. file or pdf (your choice)in my reply. RLO http://www3.amherst.edu/~rloldershaw Discrete Scale Relativity |