2001/09/28 by Carmen Chicone, Chicone, Carmen
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #General Relativity and Quantum Cosmology (gr-qc) #gr-qc #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.gr-qc/0110001
The paper is an expanded version of a talk presented at CAIMS 2001 Victoria, BC
arxiv created 2001/09/28 · openalex publication_date 2001/09/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Action at a distance in Newtonian physics is replaced by finite propagation speeds in classical physics, the physics defined by the field theories of Maxwell and Einstein. As a result, the differential equations of motion in Newtonian physics are replaced in classical physics by functional differential equations, where the delay associated with the finite propagation speed (the speed of light) is taken into account. Newtonian equations of motion, with post-Newtonian corrections, are often used to approximate the functional differential equations of motion. Some mathematical issues related to the problem of extracting the ``correct'' approximate Newtonian equations of motion are discussed.