Does quantum entanglement imply the existence of a non-causal structure connecting space-time together? In contrast to a "time-like" or "causal" structure connecting space-time together, Does quantum entanglement imply the existence of a "space-like" or "non-causal" structure holding space-time together as well.
A more general question; is there even any relevance to the discussion of the existence of a non-causal structure connecting space-time together?  
The reason I ask is because it initially seems too assuming to suggest that causal structure is the only meaningful structure just because it's intuitive; Consider the fact that two space-like separated events are even allowed to exist in a definable space (space-time diagram). Is there nothing physical in principle between the two events which can be defined?
 A: 
A more general question; is there even any relevance to the discussion of the existence of a non-causal structure connecting space-time together? 

This part of the question belongs to a future where the quantization of gravity, i.e. space -time, has been definitively established in a theoretical framework without infinities etc.  The term "entanglement" is a shorthand for implying that a specific quantum mechanical solution with specific boundary conditions gives the probability distribution for a specific event.
Space time at present is just the classical space time of general relativity, and in flat space, whatever holds for special relativity with respect to solutions of quantum mechanical boundary value problems should also hold there.

Is there nothing physical in principle between the two events which can be defined?

This is a special relativity issue.
If the quantum mechanical wavefunction is a solution that gives a probability for a spacelike separation of constituents ofa system, lets say of two particles,  the detection of one will provide information on the quantum state of the other  (though I cannot think of an example off hand, if I do I will edit it in)
A: The following contains a simple proof that quantum entanglement does not violate the principle of causality.  http://sweet-haven.com/causality.pdf
