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Time-asymmetry and the Bohmian view of the quantum world

Title
Time-asymmetry and the Bohmian view of the quantum world
Funding
ARC | Discovery Projects
Contract (GA) number
DP0880657
Start Date
2008/01/01
End Date
2010/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP0880657

 

  • Relaxation to quantum equilibrium for Dirac fermions in the de Broglie-Bohm pilot-wave theory

    Numerical simulations indicate that the Born rule does not need to be postulated in the de Broglie-Bohm pilot-wave theory, but arises dynamically (relaxation to quantum equilibrium). These simulations were done for a particle in a two-dimensional box whose wave-function obeys the non-relativistic Schroedinger equation and is therefore scalar. The chaotic nature of the de Broglie-Bohm trajectories, thanks to the nodes of the wave-function which act as vortices, is crucial for a fast relaxation...

    Sub-Compton quantum non-equilibrium and Majorana systems

    We study the Majorana equation from the point of view of the de Broglie-Bohm pilot-wave theory (according to which a quantum ensemble of fermions is not only described by a spinor but also by a distribution of position configurations). Although the Majorana equation involves a mass parameter, we show that the positions undergo luminal motion. In the case of free systems, we also show that the trajectory can be strongly helical (the diameter of the helix being the Compton wavelength). On a coa...

    The zig-zag road to reality

    Colin, Samuel; Wiseman, Howard M (2011)
    Projects: ARC | Time-asymmetry and the Bohmian view of the quantum world (DP0880657)
    In the standard model of particle physics, all fermions are fundamentally massless and only acquire their effective bare mass when the Higgs field condenses. Therefore, in a fundamental de Broglie-Bohm pilot-wave quantum field theory (valid before and after the Higgs condensation), position beables should be attributed to massless fermions. In our endeavour to build a pilot-wave theory of massless fermions, which would be relevant for the study of quantum non-equilibrium in the early universe...
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