A Derivation of Dirac's Equation From a Model of an Elastic Medium
Other Condensed Matter
2007-05-23 v1
Abstract
Starting from a model of an elastic medium, we derive equations of motion that are identical in form to Dirac's equation for a spin 1/2 particle with mass, coupled to electromagnetic and gravitational interactions. The mass and electromagnetic terms are not added by hand but emerge naturally from the formalism. A two dimensional version of this equation is derived 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.
Keywords
Cite
@article{arxiv.cond-mat/0510579,
title = {A Derivation of Dirac's Equation From a Model of an Elastic Medium},
author = {John M. Baker},
journal= {arXiv preprint arXiv:cond-mat/0510579},
year = {2007}
}