Cosmology and the pilot wave interpretation of quantum mechanics

Harvey R. Brown, Andrew Elby, Robert Weingard

Antony Valentini

Satio Hayakawa

Frank J. Tipler

The author argues that the version of the pilot wave interpretation of quantum mechanics which uses a non-local non-Schrodinger force is inconsistent when applied to distributions with small numbers of particles. Thus, no version of the pilot wave interpretation (sometimes called the de Broglie-Bohm, or causal, interpretation) can be applied to the wavefunction of quantum cosmology because in any version of this interpretation, there is only one particle, the universe.

Christopher Dewdney, Peter Holland, Anastasios Kyprianidis +1 more

Yuri Shtanov

The de Broglie-Bohm (pilot wave) formulation of quantum theory appears to be free from the conceptual problems specific to quantum mechanics (problem of measurement) and to quantum cosmology (problem of time). We further study the extension of this formulation to the case of gravity and demonstrate that the foliation of spacetime by spacelike hypersurfaces obtained during the solution of the quantum problem turns out to be distinguished in general. This means that quantum pilot wave dynamics is not invariant with respect to an arbitrary change of foliation, or, in other terms, that quantum nonlocality takes place. We also discuss the general structure of a realistic pilot wave theory that could describe the universe.