2006/11/05 by John M. Baker, Baker, John M.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Numerical methods for differential equations #Other Condensed Matter (cond-mat.other) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.cond-mat/0611125
openalex publication_date 2006/11/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Starting from a model of an elastic medium, partial differential equations with the form of the coupled Einstein-Dirac-Maxwell equations are derived. The form of these equations describes particles with mass and spin coupled to electromagnetic and gravitational type of interactions. A two dimensional version of these equations is obtained by starting with a model in three dimensions and deriving equations for the dynamics of the lowest fourier modes assuming one dimension to be periodic. Generalizations to higher dimensions are discussed.