Cargando…
Electromagnetism in a Multiconnected Universe
Our raw intuition tells us that the topology of the universe shouldn′t affect the behavior of a current-carrying wire, but when the wire wraps all the way around a multiconnected space, our intuition is wrong. While an infinitely long perfectly conducting wire in Euclidean space may carry a constant...
Autores principales: | , |
---|---|
Lenguaje: | eng |
Publicado: |
2016
|
Materias: | |
Acceso en línea: | https://dx.doi.org/10.4169/amer.math.monthly.123.3.280 http://cds.cern.ch/record/2267158 |
Sumario: | Our raw intuition tells us that the topology of the universe shouldn′t affect the behavior of a current-carrying wire, but when the wire wraps all the way around a multiconnected space, our intuition is wrong. While an infinitely long perfectly conducting wire in Euclidean space may carry a constant current, a simple application of the Ampère–Maxwell circuital law shows that the analogous wire in a 3-torus may not. Instead, we find that the current spontaneously oscillates, and the wire acts like an antenna, gradually radiating away its energy. |
---|