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"What aspect of quantum mechanics makes it natural to say that probability and 'non-determinism' should take a central role?" The fundamental reason is philosophical and comes from the Teleportation thought experiment, which raises the question of what happens to subjective experience after an hypothetical teleportation device avoids deleting the ...

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I think the text in question is quite vague, but there are some issues that come up with relativistic theories. For instance if something, say $p(x),$ is a probability density, then $\int p(x,t)dx=1.$ But if you have a relativistic theory then you should also be able to compute $\int p(x',t')dx'=1,$ where $x'$ various over a surface of $t'=$ constant for a ...

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Relativistic quantum mechanics is quantum mechanics; therefore the interpretation is the same. In this context, the main difference (at least in my opinion) is that relativity allows (and it is an experimental fact as well) the creation and annihilation of particles. To accommodate this possibility in the theory, a new framework has to be introduced. ...

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Relativistic Quantum Mechanics arises as a sort of limit over the degrees of freedom of non-relativistic Quantum Mechanics. Without getting into technicalities, Quantum Mechanics deals with system with finitely many degrees of freedom (1D/2D/3D QHO, a system of finitely many QHOs, etc...). When you take the limit over the degrees of freedom you get into ...

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