<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by john hunter</i>
There is some evidence from binary pulsars that GM is independent of the proximity of the two stars from each other, but as M increases as the stars approach each other, due to the velocity increasing (relativistic effect) - then this may be evidence for G decreasing, as the masses approach each other.
The trouble is that if a computer program is run with G decreasing and M increasing, the net result would be indistinguishable from a false conjecture, with constant M.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">
That is if you believe in the results of Special Relativity. As shown on my page regarding the
Derivation of the Lorentz Transformation
however, the Lorentz transformation is conceptually and mathematically flawed, and thus also the assumption of a velocity dependent mass.
Another point however:
you suggested a mass dependent G in the form
Ge = c ^ 2 / ( c ^ 2 / G + m / r ).
Now, the gravitational law always depends on two masses (m and M), so your modified G should actually also depend on both and not just on m.
Thomas