M. Sachs, ON THE SPECTRUM OF NEUTRINO MASS IN GENERAL-RELATIVITY, Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 107(9), 1994, pp. 1709-1714
The problem of neutrino mass is investigated in the context of the aut
hor's research program on the possible origin of microphysics from gen
eral relativity. It is found that the role of the ''neutrino'' in this
theory is that of a spin-one-half coupling field that participates in
the weak interactions between baryons. It is shown that in a curved s
pace-time, the neutrino field associates with an indefinitely extended
mass spectrum, accompanying the spectrum of the lepton particles, e,
mu, tau, .... The explicit form of the mass spectrum, in the linear li
mit of the theory, where there is a Hilbert-space representation, is d
emonstrated. This result is in contrast with recent conclusions from t
he results of high-energy physics experimentation, interpreted in the
context of the ''standard model'' in quantum chromodynamics, that ther
e is a limit of only three neutrinos, and the accompanying three lepto
n particles, e, mu, tau. The author's theory then challenges QCD in it
s prediction of more than three types of neutrinos and their accompany
ing massive leptons.