The Fundamental Relationship between Harmonic Quark Masses and Reduced Max Planck Constant

O. A. Teplov developed an approach to describe the meson quark model by establishing a mathematical quark series (harmonic quark series). With respect to the physical mesons, he made some basic hypotheses of his own and used the well-known theory of harmonic oscillation to construct a numerical mass series that obeys a rigid multiplicative pattern and allows the physical meson masses to be calculated accurately. We have found that his numerical quark series, i.e., their masses, has a fundamental relation to the reduced Max Planck constant ħand report on it in the present paper. This discovery is obviously a theoretical contribution to the correctness of Teplov’s harmonic quark model approach and at the same time a confirmation of the importance of this simple and powerful research work.

Origin, Creation, and Splitting of the Electron

The author’s earlier papers proposed a model of the electron’s internal structure comprised of both positive and negative masses and charges. Their relation to the fine structure constant a was calculated in the author’s previous paper. In this paper, more details of the model of the electron’s internal structure, in particular the thicknesses of its outer shell mass and charge, are calculated. Magnetostriction of the electron’s surface is generated by the electron’s spinning surface charge. It is calculated that this magnetostriction holds the electron together, counterbalancing the outward electrical and centrifugal forces. The results of these calculations enable the prediction that a sufficiently strong external magnetic field can split the electron into three equal pieces. The field strength would have to be on the order of at least 8% of the strength at the center of the electron. A model for the origin and creation of an electron from a gamma ray wave is proposed. Evidence is presented that, for certain transitions, mass might be quantized and that the quantum of mass would be 1/2a times the electron mass.

Oscillating gravity,non-singularity and mass quantization from Moffat stochastic gravity arguments

In Moffat stochastic gravity arguments, the spacetime geometry is assumed to be a fluctuating background and the gravitational constant is a control parameter due to the presence of a timedependent Gaussian white noise ξ(t). In such a surrounding, both the singularities of gravitational collapse and the Big Bang have a zero probability of occurring. In this communication, we generalize Moffat’s arguments by adding a random temporal tiny variable for a smoothing purpose and creating a white Gaussian noise process with a short correlation time. The Universe accordingly is found to be non-singular and is dominated by an oscillating gravity. A connection with a quantum oscillator was established and analyzed. Surprisingly, the Hubble mass which emerges in extended supergravity may be quantized.

Quantization of the Blow-Up Value for the Liouville Equation with Exponential Neumann Boundary Condition

In this paper,we analyze the asymptotic behavior of solution sequences of the Liouville-type equation with Neumann boundary condition.In particular,we will obtain a sharp mass quantization result for the solution sequences at a blow-up point.