A geometric look at the objective gravitational wave function reduction

Abstract

There is a famous criterion for objective wave function reduction which is derived by using the Shrödinger–Newton equation [L Diosi, Phys. Lett. A 105(4–5), 199 (1984)]. In this regard, a critical mass for the transition from quantum world to the classical world is determined for a particle or an object. In this paper, we shall derive that criterion by using the concept of Bohmian trajectories. This study has two consequences. The first is, it provides a geometric framework for the problem of wave function reduction. The second is, it represents the role of quantum and gravitational forces in the reduction process.

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Correspondence to Faramarz Rahmani.

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Rahmani, F., Golshani, M. & Jafari, G. A geometric look at the objective gravitational wave function reduction. Pramana - J Phys 94, 163 (2020). https://doi.org/10.1007/s12043-020-02032-6

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Keywords

  • Gravitational reduction of the wave function
  • Bohmian quantum potential
  • Bohmian geodesic deviation equation
  • Bohmian trajectories

PACS Nos

  • 03.65.Ca
  • 03.65.Ta
  • 04.20.Cv
  • 03.65.w