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by Stephen Blaha (Author)
1. We show that tachyons exist within Black Holes. 2. We extend Special Relativity to include left-handed (Superluminal) transformations to reference frames moving at relative velocities greater than the speed of light. This set of transformations forms a group that includes the Lorentz group as an invariant subgroup. The speed of light does not change under the transformations of this group. We find new features in frames moving at a relative speed greater than the speed of light such as length dilation, time contraction, and tachyons decaying into more massive tachyons - "reverse fission." 3. Using the (Superluminal) transformations of this enlarged group we are able to define tachyons of half-integer or integer spin. We show these tachyons are local and satisfy canonical commutation relations in light-front coordinates (the "infinite momentum" frame). Thus a standard quantization procedure is possible and a conventional light-front perturbation theory can be constructed. 4. Free spin 1/2 tachyons violate parity and CPT but do not violate C or T invariance. 5. The requirement of Left-handed Extended Lorentz group covariance implies an extended Dirac equation for spin 1/2 particles with doublets of spin 1/2 particles: a Dirac particle and a tachyon. We identify neutrinos with tachyon members of lepton doublets, and "d-type" quarks with tachyon members of quark doublets. 6. Further considerations lead to most features of the Standard Model for one generation of leptons and quarks. Thus the general form of the Standard Model, including a rationale for the form of parity violation, SU(2)?U(1), and left-handed doublets and right-handed singlets, is derived. 7. The theory requires quark confinement. The theory does not explain the existence of three generations or the mixing of generations. SU(3) is found to be the minimal symmetry group of the strong interaction if spin 1/2 baryon bound states are to exist.
