Physics – Quantum Physics
Scientific paper
2007-10-10
Annals of Physics 324 (2009) 2622--2637
Physics
Quantum Physics
Major revision: key results unchanged, but derivation and discussion completely rewritten; 33 pages, no figures
Scientific paper
10.1016/j.aop.2009.09.013
Quantum theory shares with classical probability theory many important properties. I show that this common core regards at least the following six areas, and I provide details on each of these: the logic of propositions, symmetry, probabilities, composition of systems, state preparation and reductionism. The essential distinction between classical and quantum theory, on the other hand, is shown to be joint decidability versus smoothness; for the latter in particular I supply ample explanation and motivation. Finally, I argue that beyond quantum theory there are no other generalisations of classical probability theory that are relevant to physics.
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