No need to register or signup. Just click on the link and my paper will appear. Yes. This is the question. What do you meant by vacant question? It is a valid question. If no motion of any kind associated with an instant of time, as you opined above; do you think a particle is at rest at any instant of time? If a particle is changing locations over a series of instances; that implies a particle has motion at any instant of time. If you dont like the term 'curvature of spacetime'; (from the OP) we can say that there is some correlation between IFS/IRF and change of geometry of spacetime, at that instant of time.