  A non-relativistic quantum mechanical theory is proposed that combines
elements of Bohmian mechanics and of Everett's "many-worlds" interpretation.
The resulting theory has the advantage of resolving known issues of both
theories, as well as those of standard quantum mechanics. It has a clear
ontology and a set of precisely defined postulates from where the predictions
of standard quantum mechanics can be derived. Most importantly, the Born rule
can be derived by straightforward application of the Laplacian rule, without
reliance on a "quantum equilibrium hypothesis" that is crucial for Bohmian
mechanics, and without reliance on a "branch weight" that is crucial for
Everett-type theories. The theory describes a continuum of worlds rather than a
single world or a discrete set of worlds, so it is similar in spirit to
many-worlds interpretations based on Everett's approach, without being actually
reducible to these. In particular, there is no "splitting of worlds", which is
a typical feature of Everett-type theories. Altogether, the theory explains 1)
the subjective occurrence of probabilities, 2) their quantitative value as
given by the Born rule, 3) the identification of observables as self-adjoint
operators on Hilbert space, and 4) the apparently random "collapse of the
wavefunction" caused by the measurement, while still being an objectively
deterministic theory.
