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Which type of acausality is this?

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Someone well-versed in acausality, could you help me?

I was wondering what kind of acausality this "phase space" could acquire.

The phase space is considered an immutable and static space of events, where movement and any change are impossible.

Queth staggered towards his destiny, tracing an n-dimensional line through existence towards its inevitable end. Of course, in another, slightly more precise sense, he did no such thing. The idea is frankly absurd. There can be, by definition, no change in n-dimensional phase space, where time is merely another immutable axis, the infinity of events a static block of facts, the marvellous fabric of the universe fixed and complete. There is no movement. There wasn’t, won’t be, or could be. It just is. That’s why phase space is so monotonous.

There is no before or after; time simply does not exist:

Will, it has often been noted, is neither. Past and future, schism and spinward, throughstream and counterphase; the terms are arbitrary. Every point in phase-space, throughout every dimension, already exists. If actions do determine what comes after (which they don’t, of course, because there is no after), it is only because they too are determined by what came before (although, of course, there is no before). Nobody said you were going to like this. There is no room for freedom. Those clusters of phase-space nodes that call themselves people have no more ‘choice’ in their ‘actions’ than characters in a story already written. Even if time existed, which it doesn’t, even if time repeated, which it can’t, still, people would not be free.
 
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