Dear List Members
This Abstract paper by Gerald L. Fitzpatrick may be of interest.
Bob Zannelli
Hidden Vector 'Coordinates' in Particle Physics
ABSTRACT
Heretofore unrecognized (i.e., "hidden") Lorentz-invariant vector
observables in the fermion sector (i.e., flavor-defining fermion
"coordinates") are shown to indirectly explain most, if not all, of the
so-called "accidental" (internal) symmetries associated with fundamental
fermions (quarks and leptons), by explaining quark and lepton flavors,
flavor doublets and families. Moreover, these new fermion coordinates
lead to quantitative constraints on neutrino mixtures that are found to
be in good agreement with current experimental observations. The new
fermion coordinates arise in the context of a quantized, internal 2-space
possessing a non-Euclidean metric. "Quantization" here means that all
scalars, vectors and matrices relevant to a description of fundamental
fermions in the 2-space, are both discrete and finite in number. In a
certain limited sense, the new 2-space description of fundamental
fermions is more fundamental, and more general, than that provided by the
standard model of particle physics. In particular, it points to a
"layer" of new physics--located somewhere between the unification scale,
and the region of applicability of the standard model--that is
responsible for the 2-space, its quantization, and its associated
selection rules.
The paper can be downloaded using the following link: