near Planck's mass

*To*: mathgroup at smc.vnet.net*Subject*: [mg68434] near Planck's mass*From*: Roger Bagula <rlbagula at sbcglobal.net>*Date*: Sat, 5 Aug 2006 03:46:25 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Back about 1987 or before I was studying gravitation and quantum mechanics and I came across this: (* Classical electromagnetic radius*) r = e^2/(m*c^2) (* Riemannian Curvature*) R = -2/r^2 (* 3 space volume*) V = (4*Pi/3)*r^3 (*scalar energy densidty*) T = m*c^2/V (* solution for R = -8Pi*G*T(v, v) : scalar reduction of Einstein's general relativity*) Solve[R + (8*Pi*G/c^4)*T == 0, m] e = 4.80325*10^(-10) G = 6.6732*10^(-8) (* mass in grams*) m = e/Sqrt[3*G] 1.073513458510097`*10^-6 At the time I hadn't run into Planck's mass. If you put in r=h/(m*c) in this calculation you get a version of the Planck mass. I was wondering if this was a well known calculation like Planck's mass? Roger