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Uncertainties inherent in the decomposition of a Transformation
This contribution adds to the points on the <indeterminacy of special
relativity> made by De Abreu and Guerra. We show that the Lorentz
Transformation can be composed by the physical observations made in a frame K
of events in a frame K-prime viz i) objects in K-prime are moving at a speed v
relative to K, ii) distances and time intervals measured by K-prime are at
variance with those measured by K and iii) the concept of simultaneity is
different in K-prime compared to K. The order in which the composition is
executed determines the nature of the middle aspect (ii). This essential
uncertainty of the theory can be resolved only by a universal synchronicity as
discussed in [1] based on the unique frame in which the one way speed of light
is constant in all directions.Comment: 10 pages including an appendix. Published in the European Journal of
Physics as a Comment. Eur. J. Phys. 29 (2008) L13-L1
Fermion mass and mixing pattern in a minimal T7 flavor 331 model
We present a model based on the
gauge symmetry having an extra
flavor group, which successfully describes the observed SM fermion mass and
mixing pattern. In this framework, the light active neutrino masses arise via
double seesaw mechanism and the observed charged fermion mass and quark mixing
hierarchy is a consequence of the symmetry
breaking at very high energy. In our minimal flavor 331 model, the
spectrum of neutrinos includes very light active neutrinos as well as heavy and
very heavy sterile neutrinos. The model has in total 16 effective free
parameters, which are fitted to reproduce the experimental values of the 18
physical observables in the quark and lepton sectors. The obtained physical
observables for both quark and lepton sectors are compatible with their
experimental values. The model predicts the effective Majorana neutrino mass
parameter of neutrinoless double beta decay to be 3 and
40 meV for the normal and the inverted neutrino spectrum, respectively.
Furthermore, our model features a vanishing leptonic Dirac CP violating phase.Comment: 18 pages. Final version. To be published in Journal of Physics G.
arXiv admin note: substantial text overlap with arXiv:1309.656
A predictive model with flavour symmetry
We propose a predictive model based on the gauge group supplemented by the discrete group, which successfully describes
the SM fermion mass and mixing pattern. The small active neutrino masses are
generated via inverse seesaw mechanism with three very light Majorana
neutrinos. The observed charged fermion mass hierarchy and quark mixing pattern
are originated from the breaking of the
discrete group at very high scale. The obtained values for the physical
observables for both quark and lepton sectors are in excellent agreement with
the experimental data. The model predicts a vanishing leptonic Dirac CP
violating phase as well as an effective Majorana neutrino mass parameter of
neutrinoless double beta decay, with values 2 and 48 meV
for the normal and the inverted neutrino mass hierarchies, respectively.Comment: 20 pages. Final version published in Nuclear Physics
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