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The Theory of (Exclusively) Local Beablesby: Travis Norsen
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AbstractIt is shown how, starting with the de Broglie - Bohm pilot-wave theory, one can construct a new theory of the sort envisioned by several of QM's founders: a Theory of Exclusively Local Beables (TELB). In particular, the usual quantum mechanical wave function (a function on a high-dimensional configuration space) is not among the beables posited by the new theory. Instead, each particle has an associated “pilot-wave” field (living in physical space). A number of additional fields (also fields on physical space) maintain what is described, in ordinary quantum theory, as “entanglement.” The theory allows some interesting new perspective on the kind of causation involved in pilot wave theories in general, and provides also a concrete example of an empirically viable quantum theory in which the wave function (on configuration space) plays no fundamental role -- i.e., according to which nothing corresponding to the configuration space wave function need actually exist. To be more precise, what we propose here is not so much a particular theory, but rather a general scheme for constructing (and some talking points in favor of) theories of this type. We thus end with some indications of possibly-fruitful directions for future development of these ideas.
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