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A Derivation of the Classical Einstein-Dirac-Maxwell Equations From a Model of an Elastic Medium

John M. Baker
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Abstract

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.

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John M. Baker. 2006-11-05. A Derivation of the Classical Einstein-Dirac-Maxwell Equations From a Model of an Elastic Medium. https://arxiv.org/abs/cond-mat/0611125

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