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ISBN: 0521485436, | 560 pages | 14 Mb

**Quantum Theory of Motion - An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics Peter R. Holland**

**Publisher:** Cambridge University Press

David Bohm's so-called Causal Interpretation of quantum mechanics is the most famous non-local hidden variable theory (there are a number of others). I welcome all comments — pro and con. In classical De Broglie did indeed pioneer such a deterministic approach. It was later developed by David Bohm and has become known as the pilotwave or causal interpretation of quantum mechanics, or as Bohmian mechanics. The main answer is that I thought, surely, after all these years, Little would have been able to concoct some kind of account of the EPR-Bell type experiments that had caused him so much trouble, almost a decade ago now, when these . Various contemporary neo-Copenhagen approaches also fall under this option, e.g. Holland, The Quantum Theory of Motion: an account of the de Broglie-Bohm causal interpretation of quantum mechanics (Cambridge, 1993). However, the theory remains non-local. The causal interpretation of quantum theory developed by David Bohm introduced trajectories that are guided by a real phase function from the wavefunction in the polar form. Bohm's theory reproduces the predictions of quantum mechanics without resorting to Based on an idea from Louis de Broglie, a hidden “guiding wave” traveling faster than light governs the motion of a particle. Schrödinger's equation is to quantum mechanics what Newton's second law of motion is to classical mechanics: it describes how a physical system, say a bunch of particles subject to certain forces, will change over time. It also challenges the assumption that the physical state of a quantum system is entirely captured by its wavefunction Ψ. Of course, these two are likely to be very happy about the result, since they already subscribe to interpretations of quantum theory in which the quantum state is ontic (de Broglie-Bohm theory and many-worlds respectively) and perhaps they . My favorite well known alternative interpretation of quantum mechanics is Bohmian mechanics, or the Bohm interpretation. This provides another reason to question the conventional view that since the DeBroglie Bohm guiding waves of two entangled particles formally have six dimensions, they have no interpretation in the geometry of physical space. It follows that local hidden-variable theories of quantum mechanics are not excluded by the Bell tests, and that in .