Quote:
Originally Posted by Ernest Wilson
Steven,
As I understand it, Borg states that G varies with absolute velocity, and that absolute velocity varies short term on a daily basis, yearly as the Earth orbits the Sun and over 226Ma as the solar system orbits the Great Attractor. I quote Borg now explaining the relationship of the various parameters.
"Since Newton wrongly assumed that Mass is a constant, he had later on 'hidden' Kepler's constant within his Gravitational constant G. Newton's G and Kepler's constant K, are related through:
K = GMS/4 π2.....MS = Solar system mass
So here we can see that planetary motion shows that it's not G or M that are constant, but their product GM, and that G will only be a constant as long as Mass is constant." Borg.
"From Kepler's constant and the standard gravitational parameter, we know that GM is conserved for different planetary velocities:
µ = GM = (G+DG) * (M+DM)
(G+DG) a 1/(M+DM)
DM = Dg mo and DG = D(1/g) G ..... where g= Lorentz factor, mo = rest mass
This relationship shows that any change in mass will be reflected in a change in G and that both Mass and G are functions of velocity " Borg.
As I understand it, if absolute velocity varies, then so will Mass and the Gravitatioal Constant.
Ernie.
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Ernie,
Borg doesn't understand what mass is.
Inertial mass = F/a.
Take an elephant, a gerbil, a ball, any object, apply a force (F) to it, measure the acceleration (a) and you find F/a is a constant.
Measure F/a 1 time, 10 times, a quadrillion times and F/a is still a constant within experimental error.
Newton did not wrongly assume that mass was constant.
SR through the equivalence principle showed that gravitational and inertial mass are also equivalent hence gravitational mass is also constant.
Borg is totally confused about relativistic mass.
As Carl has pointed out absolute velocity is a meaningless concept, but let's look at relativistic mass in an inertial frame of reference.
Relativistic mass is a measurement of total energy or more precisely
inertial mass + relativistic kinetic energy. Here inertial mass mo=E/c^2.
If an object's relativistic mass increases it's because it's relativistic kinetic energy increases.
The inertial mass remains the same.
This is clearly observed in particle accelerators such as the LHC. A proton's inertial mass remains constant as it's relativistic mass increases.
F=GMm/r^2. M and m are
inertial masses.
If these masses were to vary, then F will vary accordingly. G being a proportionality constant
will remain constant.
Regards
Steven