2018/04/30 by Swanand Khanapurkar, Arnab Pradhan, Vedant Dhruv +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Dirac (video compression format) #Einstein #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Neutrino #Noncommutative and Quantum Gravity Theories #Physics #Quantum Mechanics and Applications #Quantum mechanics #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.98.104027
published as Phys. Rev. D 98, 104027 (2018) · V3: 22 pages, typos and language corrected, clarifying paragraphs added, references added, accepted for publication in Phys. Rev. D
arxiv created 2018/10/17 · openalex publication_date 2018/11/19 · arxiv updated 2018/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive the Schr"odinger-Newton equation as the nonrelativistic limit of the Einstein-Dirac equations. Our analysis relaxes the assumption of spherical symmetry, made in an earlier work in the literature, while deriving this limit. Since the spin of the Dirac field couples naturally to torsion, we generalize our analysis to the Einstein-Cartan-Dirac equations, again recovering the Schr"odinger-Newton equation.