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Thermal Spacetime, Part I: Relativistic Bohmian Mechanics (2304.08392v2)
Published 17 Apr 2023 in math-ph, math.MP, and quant-ph
Abstract: Positive-energy solutions of the Klein-Gordon equation form a Hilbert space of holomorphic functions on the future tube. This domain is interpreted as an extended phase space for the associated classical particle, the extra dimensions being the time and a new variable related to the inverse equilibrium temperature in an associated canonical ensemble. This gives a compelling formulation of relativistic Bohmian mechanics where the "hidden variables" are simply the classical trajectories of the particle in phase space. Interactions may be included through "holomorphic gauge theory."
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