Two hidden free parameters in Newtonian gravity slipped throughthe cracks - An interesting new relativistic MOND proposal (semiclassical gravity)
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From: "Juan R." González-Álvarez on 20 Oct 2009 06:43 Albertito wrote on Tue, 20 Oct 2009 02:38:29 -0700: > Start with a typical Newtonian potential as > > phi = -GM/r [1] > > Integrate with respect to displacement r to yield > > psi = - G (M*ln[r/R_0] + M_0) [2] > > where R_0 and M_0 are constants of integration. > > If M_0 is NOT independent of displacement r, then psi does not reduce to > a Newtonian potential [1]. Under MOND (Modified Newtonian Dynamics), we > can see that parameter M_0 is a function of displacement r only. Untrue. > A > relativistic MOND can also be defined if that M_0 is a function, not > only of displacement r, but of orbital speed v, too. Untrue. > In addition, the > parameter R_0 can be easily computed and assumed as universal constant, > > R_0 = c/H_0 [3] > > where H_0 is Hubble constant and c speed of light in a vacuum Untrue. > > Now, let's express M_0 as a function of r and v > > M_0 = F(r,v) [4] > > The physical meaning of M_0 is what mainstream theoretical physicists > call "dark matter" extra mass, No. (...) > We can derive a gravitational potential as > > phi = - GM/r - G d(F(r,v))/dr [5] No. > and a the modified gravity would be then > > g = GM/r^2 + G d^2(F(r,v))/dr^2 [6] > > > I'm pretty sure that clever theoretical physicists can easily find a > shape for the function M_0 = F(r,v). Why would repeat your mistakes? -- http://www.canonicalscience.org/ BLOG: http://www.canonicalscience.org/en/publicationzone/canonicalsciencetoday/canonicalsciencetoday.html |