For the distance between the objects to diminish, the tilt (velocity) has to be larger than the Hubble tilt (velocity) between the two objects, thus the proposed experiment doesn't make sense and that is the reason for the paradox.
For sake of simplicity, I made B to be at rest with respect to the Fabric of Space, otherwise both objects would be moving to their resting positions. Notice that this is exactly what the reader asked. This is the relative resting condition, object A has the same inclination (velocity) as it would have at position B (Hubble Velocity). This is the condition for spatial resting that is, one is at rest with respect to the other object.
Other initial conditions or kinematics can be easily inspected by realizing that any local tilt of the Fabric of Space will travel until it relaxes, which is the reason for motion or the Hypergeometrical Universe Newton's Second Law.
If the impulse is such that their paths crosses, their trajectory would be represented by the next diagram:
Object A will pass by object B and will asymptotically reach the positions depicted by A' and B' when the Radius of the Universe reaches infinity or earlier if there were any dissipative process.
Comments
There are currently no comments
New Comment