I see that your answer conforms to the claims made in the article you posted as evidence. Sadly, the article does not show any evidence to support the claims it makes. Forgive me if I don't take your word for it. Because I see no evidence that the expansion of the universe has no affect on the particles which are contained within it, I have no good reason to believe the claims. Can you provide evidence for any of these claims?
Without going into supremely complicated mathematics here is the gist:-
The rate of expansion of space is proportional to the distance separating two points in space. The current rate (which changes extremely extremely slowly, like in billions of years scale) is 72 km/s per Megapersec seperation. Now 1 Megapersec is 3*10^22 meters. So the rate at which space tries to expand the distance between matter located :-
a) Between surface of the earth and the center of the earth (distance is 6371*10^3 meters) is
[72*10^3 m/s]*[6371*10^3 m]/[3*10^22 m] =
1.52904*10^-11 m/s.
That is
very small. But let us persist. In order to calculate the approximate force exerted on matter due to this expansion of space, let us do the following calculation.
b) In absence of
any other force then, 1kg of matter at the surface of the earth will move 1.53 meters away from its current position on the surface in 10^11 seconds. So now, after 10^11 seconds, the distance between that piece of rock and the center of the earth is 6371.00153 * 10^3 m. Therefore the
new velocity of separation between the center and the surface is [72*10^3]*[6371.00153*10^3]/[3*10^22] =
1.5290403672*10^-11 m/s
c) Hence the
net change in velocity is (1.5290403672-1.52904)*10^-11 = 3.672*10^-13 m/s. And since this net change in velocity happens in 10^11 second time interval, the
average acceleration is = change in velocity/time elapsed = 3.672*10^-13 / 10^11 =
3.672*10^-24 m/s^2
d) Since Force = mass*acceleration,
the net repulsive force due to expansion of space between earth's center and earth's surface for a 1kg block of stone is
F1 = 1kg * 3.672*10^-24 m/s^2 = 3.672*10^-24 kgm/s^2 =
3.672*10^(-24) Newtons.
e) Of course the
gravitational attractive force for the same 1 kg block F2 = 1kg*9.80665 m/s^2 =
9.80665 Newtons
f) So the
force of gravitational attraction pulling 1 kg block towards the center of the earth is 9.80665/(3.672*10^*-24) =
2.67*10^24 times greater
than the repulsive force due to expansion of space that tries to pull the 1 kg block further away.
Thus it is established that force due to expansion of space is completely overwhelmed by attractive forces such as gravity. The case is even more so when one compares the electrical attraction between nucleus and electron of an atom, since electrical forces are far far stronger than gravitational forces. In fact, the expansion of the universe only becomes important only in very very large intergalactic scales, where, due to relatively uniform distribution of galaxies, all the gravitational forces between galaxies cancel out. Inside galaxies and local clusters of galaxies, gravity easily overwhelms this itty-bitty repulsive force.
Hope that is adequate.