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EHeller comments on Welcome to Less Wrong! (5th thread, March 2013) - Less Wrong
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That fails to answer the question- the Schroedinger equation isn't lorentz invariant (its not even fully Galilean invariant), so it can't tell you much about spacetime.
You can't just replace Schroedinger with Dirac or Klein-Gordon without leading inevitably to a field theory, which opens up new cans of worms.