Penrose (2004: 408-9):
An extreme situation arises when we have what is referred to as causality violation in which ‘closed timelike curves’ can occur, and it becomes possible for a signal to be sent from some event into the past of that same event! Such situations are normally ruled out as ‘unphysical’, and my own position would certainly be to rule them out, for a classically acceptable spacetime. Yet some physicists take a considerably more relaxed view of the matter being prepared to admit the possibility of the time travel that such closed timelike curves would allow. On the other hand, less extreme — though certainly somewhat exotic — causality structures can arise in some interesting spacetimes of great relevance to modern astrophysics, namely those which represent black holes.
Blogger Comments:
As previously explained, from the perspective of Systemic Functional Linguistic Theory, a causality structure of spacetime is actually a possibility structure of trajectories in spacetime. From this perspective, a 'causality violation' is a 'possibility violation' (an impossibility). On this basis alone, any trajectory into the past is an impossibility.
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