Question3 : Why do objects that are farther from the center of the universe move faster away from the center?
My opinion : After an accelerating expansion (such as inflation) of early universe has almost finished, particles started to have some velocity.
This velocity distribution naturally has higher velocity when it is further away from the center of the universe and has lower velocity when it is closer to the center.
A. Big bang simulation in the zero energy universe
[Video for Big bang Simulation]
Fig.1.Velocity distribution of galaxies at early universe.
Red arrows show the velocity vector of particles. It can be known that the magnitude of velocity vector is bigger as it become further from the center.
Even if the velocity of particles is zero in the early universe, there are particles with higher velocity in further areas from the center and particles close to the center have relatively low velocity by inflation (an accelerating expansion). When positive mass gravitationally contracts to form a galaxy, momentum must be conserved, so higher initial velocity continues to exist as it becomes further away from the center of universe.
B. Natural distribution of velocity in the 3D space
Thinking in another way, 3 dimensional space can be divided into 3 areas (from the center) to far, middle, and close area. Even if the velocity of the far area is lower than the middle area, middle area particles exceed far area particles when time passes because the velocity of middle particles are higher. As a result, velocity distribution of particles shows that the velocity of far areas is highest, middle area is second, and the close area becomes third.
C. Velocity distribution when some kind of anti-gravitational source exists
If some kind of anti-gravitational source in 3 dimension exists, M exists with even density, the above velocity distribution can exist.
If anti-gravitational source is evenly distributed in accelerating expansion time like the inflation of early universe, a bigger acceleration a exists as r becomes larger and velocity distribution has a higher velocity as the radius of the universe becomes larger. As a result, higher velocity exists for particles of far area from the center of the universe after inflation ends.
The 3 explanations shown above mean that higher velocity for larger R(distance from the center of universe) after inflation in the early universe isn't a peculiar phenomenon. If speed in small area in the early universe distributes from 0 to c and if some time passes, velocity distribution will be in order as above.
Expansion of the universe and expansion of the space are not the same concept.
I agree that universe is expanding. But, expansion of space should be reviewed.