title: Can Bohmian mechanics be made relativistic?
abstract: In relativistic space-time, Bohmian theories can be formulated by introducing a privileged foliation of space-time. The introduction of such a foliation-as extra absolute space-time structure-would seem to imply a clear violation of Lorentz invariance, and thus a conflict with fundamental relativity. Here, we consider the possibility that, instead of positing it as extra structure, the required foliation could be covariantly determined by the wave function. We argue that this allows for the formulation of Bohmian theories that seem to qualify as fundamentally Lorentz invariant. We conclude with some discussion of whether or not they might also qualify as fundamentally relativistic.
authors: Mathematisches Institut , Ludwig-Maximilians-Universität , Theresienstraße. 39, 80333 München, Germany.
authors: Detlef
authors: D
authors: Dürr
authors: Department of Mathematics , Rutgers University , Hill Center, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA ; Department of Physics , Rutgers University , Hill Center, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA ; Department of Philosophy , Rutgers University , Hill Center, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA.
authors: Sheldon
authors: S
authors: Goldstein
authors: Smith College , Northampton, MA 01060, USA.
authors: Travis
authors: T
authors: Norsen
authors: Department of Mathematics , Rutgers University , Hill Center, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA ; Department of Philosophy , Rutgers University , Hill Center, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA.
authors: Ward
authors: W
authors: Struyve
authors: Dipartimento di Fisica dell'Università di Genova and INFN sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy.
authors: Nino
authors: N
authors: Zanghì
keywords: Bohmian mechanics; Lorentz invariance; quantum foundations; relativity