On a Symmetry Argument for the Guidance Equation in Bohmian Mechanics

Bradford Skow
Massachusetts Institute of Technology
Bohmian mechanics faces an underdetermination problem: when it comes to solving the measurement problem, alternatives to the Bohmian guidance equation work just as well as the official guidance equation. One way to argue that the guidance equation is superior to its rivals is to use a symmetry argument: of the candidate guidance equations, the official guidance equation is the simplest Galilean-invariant candidate. This symmetry argument---if it worked---would solve the underdetermination problem. But the argument does not work. It fails because it rests on assumptions about how Galilean transformations (especially boosts) act on the wavefunction that are (in this context) unwarranted. My discussion has larger morals about the physical significance of certain mathematical results (like, for example, Wigner's theorem) in non-orthodox interpretations of quantum mechanics.
Keywords Quantum Mechanics  Bohmian Mechanics
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DOI 10.1080/02698595.2010.543350
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Time and Chance.David Albert - 2005 - Mind 114 (453):113-116.
Time and Chance.David Z. Albert - 2000 - Harvard University Press.

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Inertial Trajectories in de Broglie-Bohm Quantum Theory: An Unexpected Problem.Pablo Acuña - 2016 - International Studies in the Philosophy of Science 30 (3):201-230.

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