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					                                                                 PHYSICS AND ASTRONOMY

Spacetime Diagram Approach to Mapping Tachyonic (non)Causality, JOHN M. WILSON*,
AKHIL GHANTA, SHANE MASUDA, KEITH ANDREW, Carol Martin Gatton Academy of
Mathematics and Science, Physics and Astronomy, Western Kentucky University, Bowling
Green, KY 42101.
Recently released results from a three year run of the neutrino Oscillation Project with Emulsion-
tRacking Apparatus, OPERA, at the Large Hadron Collider, LHC, at the European Center for
Nuclear Research, CERN, in Geneva used the CNGS, CERN Neutrinos to Gran Sasso, high
intensity high-energy beam of muon neutrinos aimed at the LNGS, Gran Sasso National
Laboratory, detector at Gran Sasso, Italy, indicate a superluminal velocity for the arriving
neutrinos1. The neutrinos are expected to be spin ½ Dirac fermions with m2<0. Here we
investigate the geometric structure of spacetime diagrams that include the particles within the
context of the Lorentz group and the Dirac equation. We map a classic causality violating event
sequence involving a superluminal signal and include a conformal Penrose diagram of these
events. We contrast the Minkowski case to the closed timelike curves that can arise on a general
curved background on a pseudo-Riemannian spacetrime for a wormhole geometry. We show that
is possible to avoid causality violation in the wormhole geometry for some cases.

1 T. Adam, et. al, Measurement of the neutrino velocity with the OPERA detector in the CNGS
beam, arXiv:1109.4897

				
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posted:11/27/2011
language:English
pages:1