The low energy value of the fine structure constant is theoretically estimated to within 1‰ of its observed value in the framework of the theory of scale relativity, in which the Planck length-scale is reinterpreted as a lowest, limiting, unpassable length, invariant under dilatations. This estimate is performed by using the renormalization group equations to evolve the QED coupling constant fr...

If the standard electroweak gauge model is extended to include two or more Higgs doublets, there may be a neutral Higgs boson h which is light (with a mass of say 10 GeV) but the hZZ coupling is suppressed so that it has so far escaped experimental detection. However, the effective hhZZ coupling is generally unsuppressed, hence the decay of Z into two light Higgs bosons plus a fermion-antifermi...

Hippocampal networks of excitatory (E) and inhibitory (I) neurons that produce frequency rhythms display behavior in which the I-cells produce spike doublets when there is strong stimulation at separated sites. It has been suggested that the doublets play a key role in the ability to synchronize over a distance. Here we analyze the mechanisms by which timing in the spike doublet can a ect the s...

Hypotheses of universal seesaw mechanism and universal strength for Yukawa couplings are applied to explain one possible origin of quasi-democratic mass matrices of special type in a left-right symmetric model with the gauge group SU(3)c×SU(2)L×SU(2)R×U(1). Two kinds of Higgs doublets are postulated to mediate scalar interactions between i-th generation of light fermion doublets and j-th genera...

Hippocampal networks of excitatory and inhibitory neurons that produce gamma-frequency rhythms display behavior in which the inhibitory cells produce spike doublets when there is strong stimulation at separated sites. It has been suggested that the doublets play a key role in the ability to synchronize over a distance. Here we analyze the mechanisms by which timing in the spike doublet can affe...

We study the trinified model, SU(3)C × SU(3)L × SU(3)R × Z3, with the minimal Higgs sector required for symmetry breaking. There are five Higgs doublets, and gauge-coupling unification results if all five are at the weak scale, without supersymmetry. The radiative see-saw mechanism yields sub-eV neutrino masses, without the need for intermediate scales, additional Higgs fields, or higher-dimens...

We propose a supersymmetric hypercolor SU(3)H gauge theory interacting strongly at the grand unification scale, in which the hyperquark condensation breaks SU(5)GUT down to SU(3)C × SU(2)L without unbroken U(1)Y at the classical level. However, we show that the broken U(1)Y symmetry is restored by quantum mechanical effects and hence there remains the standard-model gauge symmetry at the electr...

We study models with several $SU(2)$ scalar doublets where the inert have a nonminimal coupling to gravity and play role of inflaton. allow for this be complex, thereby introducing $CP$ violation---a necessary source baryon asymmetry---in Higgs-inflaton couplings. investigate inflationary dynamics model discuss how violation is imprinted on particle asymmetries after inflation in hot big bang u...

The vacuum stability lower bound on the mass of the Higgs boson is numerically investigated in an SU(2)L ⊗ SU(2)R symmetric Yukawa model, which describes two heavy degenerate fermion doublets in the limit of vanishing gauge couplings. Good agreement with perturbation theory is found, although the couplings are strong. The upper bound on the fermion mass and renormalized Yukawa coupling is also ...