Thermal Spacetime, Part I: Relativistic Bohmian Mechanics

• URL: http://arxiv.org/abs/2304.08392v2
• Date: Mon, 22 May 2023 16:45:34 GMT
• Title: Thermal Spacetime, Part I: Relativistic Bohmian Mechanics
• Authors: Gerald Kaiser
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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