Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-09-27
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, 1 figure, new discussion of observers and velocity measurements, extensive improvements in the interpretation section
Scientific paper
As a protoypical massive field theory we study the scalar field on the recently introduced Finsler spacetimes. We show that particle excitations exist that propagate faster than the speed of light recognized as the boundary velocity of observers. This effect appears already in Finsler spacetime geometries with very small departures from Lorentzian metric geometry. It switches on for a sufficiently large ratio of the particle four-momentum and mass, and is the consequence of an improved version of the Coleman-Glashow dispersion relation. If a similar relation resulted for fermions on Finsler spacetimes, these generalized geometries could explain the very recent neutrino observations of the OPERA collaboration, while not being inconsistent with supernova results.
Pfeifer Christian
Wohlfarth Mattias N. R.
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