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The main number of free parameters
in the Standard Model comes from the Higgs sector. If the many Higgs sector
free parameters in SM are ultimately accidental, happening by chance, the
ground of this basic modern theory looks vague despite its remarkable
predicting power.
Hence, the main goal of SM phenomenology
is to find a new idea for organizing the many free parameters in a physically meaningful
system.
Luckily, there are hinting
experimental indications that the known from geometry euclidean 3-space Metric
equation may provide an organizing guide for the Higgs parameters by grouping
them in hierarchical triads that appear geometric bimaximal solutions of that
equation at leading approximation (arXiv:1212.1417).
This geometric organization of the
Higgs sector does not increase the number of parameters; in fact it decreases
it by establishing dimensionless relations between them. As result, it frees
Higgs sector from the stigma of chance getting the external parameters physically
organized in geometric hierarchies governed by the euclidean Metric equation at
leading approximation.
Interestingly, geometric
interpretation of SM hierarchies may imply new fundamental flavor physics paradigm
in the simplest special case of duality between neutrino mixing angles in inner
euclidean 3-space and inertially moving flavor neutrino momentum direction
angles in outer euclidean 3-space. It may be similar to Einstein’s
particle-wave duality in the simplest case of light that led to totally new
nonclassical universal physics of quantum mechanics. It seems that the mentioned new
ideas in flavor physics deserve attention.
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