caa a22 4500 467906300 CHVBK 20180406152835.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s10701-005-9022-z doi (NATIONALLICENCE)springer-10.1007/s10701-005-9022-z Holland Peter Green College, University of Oxford, OX2 6HG, Oxford, England aut Hidden Variables as Computational Tools: The Construction of a Relativistic Spinor Field [Elektronische Daten] [Peter Holland] Hidden variables are usually presented as potential completions of the quantum description. We describe an alternative role for these entities, as aids to calculation in quantum mechanics. This is illustrated by the computation of the time-dependence of a massless relativistic spinor field obeying Weyl's equation from a single-valued continuum of deterministic trajectories (the "hidden variables”). This is achieved by generalizing the exact method of state construction proposed previously for spin 0 systems to a general Riemannian manifold from which the spinor construction is extracted as a special case. The trajectories form a non-covariant structure and the Lorentz covariance of the spinor field theory emerges as a kind of collective effect. The method makes manifest the spin 1/2 analogue of the quantum potential that is tacit in Weyl's equation. This implies a novel definition of the "classical limit” of Weyl's equation. Springer Science+Business Media, Inc., 2006 hidden variables nationallicence spinor nationallicence quantum hydrodynamic trajectories nationallicence Weyl's equation nationallicence Riemannian geometry nationallicence classical limit nationallicence Lorentz covariance nationallicence 03.65.Ta nationallicence Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/3(2006-03-01), 369-384 0015-9018 36:3<369 2006 36 10701 https://doi.org/10.1007/s10701-005-9022-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10701-005-9022-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Holland Peter Green College, University of Oxford, OX2 6HG, Oxford, England aut NATIONALLICENCE 773 0- Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/3(2006-03-01), 369-384 0015-9018 36:3<369 2006 36 10701 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer