Kleinian signature change
May, 199424 pages
Published in:
- Class.Quant.Grav. 11 (1994) 2523-2536
Report number:
- DAMTP-R-94-18
Citations per year
Abstract: (IOP)
We study the propagation of plane-waves in a fixed flat background spacetime whose metric changes from a Lorentzian signature to a Kleinian signature . When the change of signature is discontinuous there is an apparent difference in wave behaviour depending upon whether the wave describes matter with integer or half-integer spin. A more detailed study of the Dirac equation shows that, while it is possible to decrease this disparity, the two matter classes still do not behave identically. A more consistent picture finally emerges when the same problem is attempted with a metric which changes signature continuously. This leads to the prediction of some surprising physical phenomena.- space-time
- topology: effect
- Dirac equation: solution
- Klein-Gordon equation: solution
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