A physical theory is local if it doesn't allow faster-than-light influences.
A physical theory is deterministic if a total knowledge of the current state of a system whose behaviour is governed by the theory exactly determines the future states of the system (or, more weakly, if the current state determines the outcome of all possible future
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It seems to me that we might be able to relax causality in moderately benign ways if we really need to. For example, I'd be quite happy with a theory that was built arond Novikov's ideas of consistent histories (in which causal loops can exist as long as they are entirely consistent with themselves). Consistent causal loops might do weird things to our ideas about free will, but they don't bother me nearly as much as other approaches involving parallel universes or radical rewrites of history.
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Definining causality in the general, philosophical sense is pretty hard - see, for example, Dennett's Freedom Evolves - but physicists generally use a much weaker version. In this case, it's good enough for causality to mean something along the lines of "an absence of time machines" or "no (invariantly) backwards in time signals".
There are various kinds of time machines that are at least semi-respectable in physics. One is the "closed timelike curve" of general relativity. Another is the faster-than-light time machine in special relativity (which I demonstrate in "Relativity, FTL and Causality"). Generally speaking, physicists think that causality is such a strong requirement and relativity so well supported experimentally that faster-than-light travel and closed timelike curves will be ruled out by some as yet unknown (or semi-known) principle. ( ... )
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Actually, I'm undecided on the whole issue, but I think most people at least like to have the illusion of free will - and that means that they will reject any superdeterministic theories on the basis of belief, rather than evidence.
Anyway, some Dutch physicist (whose name escapes me at the mo) recently published a paper in which he mathematically 'proved' that there's a purely deterministic sub-quantum layer to reality.
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And I AM very sorry for my behavior of a few years ago. You deserved more than that, and if you give me the oppurtunity, I think you'll find I have changed a lot and that I will be a much more fun friend and more stable, healthy and upbeat one too!
*hugs you back*
Lex
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