MG12 - Talk detail |
|
Participant |
Burnett, James | |
|
Institution |
University College London - Gower Street - London - - United Kingdom | |
|
Session |
Talk |
Abstract |
|
MGAT8 |
Modelling the electron in terms of Cosserat elasticity. |
We suggest an alternative mathematical model for the electron. Working on a Lorentzian 4-manifold with prescribed (given) metric we choose a coframe and a density as our dynamical variables; mass and the electromagnetic field are incorporated by means of a Kaluza-Klein extension. We then compare with the Dirac equation via a transformation to bispinors, and prove (arXiv:0812.3948) in the special case of non-dependence on the third spatial co-ordinate, that our field equations are equivalent to the Dirac equation. Our model is based on the ideas of Cosserat elasticity (rotating material points) and is closely related to the theory of teleparallelism promoted by Einstein and Cartan. |
|
SQG5 |
Modelling the electron in terms of Cosserat elasticity. |
We suggest an alternative mathematical model for the electron. Working on a Lorentzian 4-manifold with prescribed (given) metric we choose a coframe and a density as our dynamical variables; mass and the electromagnetic field are incorporated by means of a Kaluza-Klein extension. We then compare with the Dirac equation via a transformation to bispinors, and prove (arXiv:0812.3948) in the special case of non-dependence on the third spatial co-ordinate, that our field equations are equivalent to the Dirac equation. Our model is based on the ideas of Cosserat elasticity (rotating material points) and is closely related to the theory of teleparallelism promoted by Einstein and Cartan. |