2005/05/31 by Jaume Giné
Medicine · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Biofield Effects and Biophysics #Physics #Quantum Mechanics and Applications #Quantum mechanics #Theoretical physics #physics.gen-ph
paper · pdf · doi:10.1016/j.chaos.2006.03.035
published as Chaos Solitons Fractals 30 (2006), no. 3, 532-541. · 16 pages, 1 figure in EPS format
arxiv created 2005/10/06 · openalex publication_date 2006/05/22 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the delay associated with the finite propagation speed is taken into account. Newtonian equations of motion, with post--Newtonian corrections, are often used to approximate the functional differential equations. Are the finite propagation speeds the origin of the quantum mechanics? In this work a simple atomic model based on a functional differential equation which reproduces the quantized Bohr atomic model is presented. As straightforward application of the result the fine structure of the hydrogen atom is approached.