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We develop a theory based on Bohmian mechanics in which particle world lines can begin and end. Such a theory provides a realist description of creation and annihilation events and thus a further step towards a beable-based formulation of quantum eld theory, as opposed to the usual observable-based formulation which is plagued by the conceptual diculties|like the measurement problem|of quantum mechanics.
rr et al. (2003) studied this question.