2008/03/31 by Jasper van Wezel, Jeroen van den Brink · 1 citation
Computer Science · Mathematics · Medicine · Physics and Astronomy · #Algorithm #Biofield Effects and Biophysics #Generator (circuit theory) #Geometry #Mathematical physics #Mathematics #Physics #Power (physics) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Reduction (mathematics) #Schrödinger equation #Schrödinger's cat #State (computer science) #quant-ph
paper · pdf · doi:10.1080/14786430802251439
published as Phil. Mag., 88, 1659-1671 (2008) · 7 pages, 7 figures; added references
arxiv created 2008/04/02 · openalex publication_date 2008/04/11 · arxiv updated 2010/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It has been suggested by Diósi and Penrose that the occurrence of quantum state reduction in macroscopic objects is related to a manifestation of gravitational effects in quantum mechanics. Although within Penrose's framework the dynamics of the quantum state reduction is not prescribed, it was suggested that the so-called Schrödinger–Newton equation can be used to at least identify the resulting classical end states. Here we analyse the extent to which the Schrödinger–Newton equation can be used as a model to generate a full, time-dependent description of the quantum state reduction process. We find that when supplied with an imaginary gravitational potential, the Schrödinger–Newton equation offers a rationalization for some of the hitherto unexplained characteristics of quantum state reduction. The description remains incomplete however, because it is unclear how to fully recover Born's rule.