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A geometric look at the objective gravitational wave function reduction

Rahmani, F ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1007/s12043-020-02032-6
  3. Publisher: Springer , 2020
  4. Abstract:
  5. There is a famous criterion for objective wave function reduction which is derived by using the Shrödinger–Newton equation [L Diosi, Phys. Lett. A105(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. © 2020, Indian Academy of Sciences
  6. Keywords:
  7. 03.65.Ca ; 03.65.Ta ; 03.65.w ; 04.20.Cv ; Bohmian geodesic deviation equation ; Bohmian quantum potential ; Gravitational reduction of the wave function ; Gravity waves ; A-particles ; Bohmian trajectories ; Critical mass ; Geometric framework ; Gravitational forces ; Newton equation ; Quantum world ; Reduction process ; Wave functions
  8. Source: Pramana - Journal of Physics ; Volume 94, Issue 1 , 2020
  9. URL: https://link.springer.com/article/10.1007/s12043-020-02032-6