We establish the classical wave equation for a particle formed of a mass-less oscillatory elementary charge generally also traveling, and the resulting electromagnetic waves, of a generally Doppler-effected angular frequency ω, in the vacuum in three dimensions. We obtain from the solutions the total energy of the particle wave to be ε = ¯ h c ω, 2π¯ h c being a function expressed in wave-mediu...

A natural gradual extension of the idea of Grand Unification is to attempt to relate the gauge and Yukawa couplings; Gauge-Yukawa Unification (GYU). However, within the framework of renormalizable field theories, there exists no realistic symmetry that leads to a GYU. Here we propose an approach to GYU which is based on the principle of the reduction of couplings and finiteness in supersymmetri...

The sputtering of the lunar surface by the solar wind is examined as a possible mechanism of mass fractionation. Simple arguments based on current theories of sputtering and the ballistics of the sputtered atoms suggest that most ejected atoms will have sufficiently high energy to escape lunar gravity. However, the fraction of atoms which falls back to the surface is enriched in the heavier ato...

We present a classification of possible parametrizations of the 3 × 3 lepton flavor mixing matrix in terms of the rotation and phase angles. A particular parametrization, which is most convenient to describe the observables of neutrino oscillations and that of the neutrinoless double beta decay, is studied in detail. The possibility to determine the Diracand Majorana-type CP-violating phases ar...

Using Planck scale oscillators in the background dark energy in a model that parallels the theory of phonons, we deduce the Planck mass, the elementary particle mass scale, the mass of the Universe and a recently discovered residual energy in the cosmic background. We also deduce the Beckenstein temperature formula for black holes. Finally we show that the model explains the four minute time la...

First we argue in an informal, qualitative way that it is natural to enlarge space-time to five dimensions to be able to solve the problem of elementary particle masses. Several criteria are developed for the success of this program. Extending the Poincaré group to the group C of all angle-preserving transformations of space-time is one such scheme which satisfies these criteria. Then we show t...

xp Xoo„(x")P(x"')dx"dx"'. (10} If we compare these equations with the corresponding equations (19) of Mfffler and Kristensen' in the theory of nonlocal interaction between a local scalar (or pseudoscalar) field and a local spinor field, we notice that the internal eigenfunction x„(r) plays the role of a convergence factor. There is, however, an essential difference between their equations and o...

First we argue in an informal, qualitative way that it is natural to enlarge space-time to five dimensions to be able to solve the problem of elementary particle masses. Several criteria are developed for the success of this program. Extending the Poincaré group to the group C of all angle-preserving transformations of space-time is one such scheme which satisfies these criteria. Then we show t...