2014/02/16 by Charis Anastopoulos, C. Anastopoulos, Anastopoulos, C. +2 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #Relativity and Gravitational Theory #gr-qc #quant-ph
paper · pdf · doi:10.48550/arxiv.1402.3813
1 page
arxiv created 2014/02/16 · openalex publication_date 2014/02/16 · arxiv updated 2014/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we show that Newton-Schrödinger Equations (NSEs) [arXiv:1210.0457 and references therein] do not follow from general relativity (GR) and quantum field theory (QFT) by way of two considerations: 1) Taking the nonrelativistic limit of the semiclassical Einstein equation, the central equation of relativistic semiclassical gravity, a fully covariant theory based on GR+QFT with self-consistent backreaction of quantum matter on the spacetime dynamics; 2) Working out a model [see C. Anastopoulos and B. L. Hu, Class. Quant. Grav. 30, 165007 (2013), arXiv:1305.5231] with a matter scalar field interacting with weak gravity, in procedures analogous to the derivation of the nonrelativistic limit of quantum electrodynamics. We conclude that the coupling of classical gravity with quantum matter can only be via mean fields, there are no N-particle NSEs and theories based on Newton-Schrödinger equations assume unknown physics.