This question already has an answer here:
In this question I asked in somewhat unclear (unclear enough to be closed) fashion about the relationship between an infinite speed of light and the existence of cause and effect.
In thís question, I like to clarify it and make it more articulate.
Consider a non-relativistic, non-quantum mechanical Newtonian Universe, in which the speed of light is infinite. Now the e.m. field is the vehicle by which a cause is transmitted to create an effect somewhere else.
If the speed of this vehicle, the speed of light, becomes infinite then what happens to cause and effect? All particles affect each other at the same absolute time in an absolute space in this Universe (this is, of course not our real Universe, but it just serves to investigate the Nature of cause and effect; besides, in this question a similar kind of Universe is used).
Now when all particles affect each other simultaneously this means they will also affect themselves simultaneously and these in return backfire simultaneously to all other particles which again simultaneously backfire to all particles etc. So a particle, if it moves, has an instantaneously effect on its own movement by the instantaneous backfiring of all other particles, and this holds for all particles. Aren't the particles "frozen" somehow (this is an intuitive feeling on which I can't put my finger exactly)? Can the particles move at all if this is the case and cause and effect can't be separated? If not then a finite speed of light is necessary.
This question differs from the possible duplicate because I ask the question of what will happen in this Universe (which is non-quantum mechanical, contrary to the possible duplicate) when cause and effect are non-separable and all particles interact simultaneously. What effect will this have on the movements (if they are able to move at all) on the particles?
Let's boil down the problem to two charged elementary particles present in this imaginary Universe. What will happen? It seems to me that because of the non-separability of cause and effect, a problem arises because the particles don't "know" what to do. Both particles can't "decide" if they are the cause or the effect, ending up in no movement at all.
So the crux is not being there a distinction between cause and effect.