2012 Community of Scientific GOD Inc.

The Schrodinger-Equation Presentation of Any Oscillatory Classical Linear System that Is Homogeneous and Conservative (by Steven K. Kauffmann):

The time-dependent Schrodinger equation with time-independent Hamiltonian matrix is a homogeneous linear oscillatory system in canonical form. We investigate whether any classical system that itself is linear, homogeneous, oscillatory and conservative is guaranteed to linearly map into a Schrodinger equation. Such oscillatory classical systems can be analyzed into their normal modes, which are mutually independent, uncoupled simple harmonic oscillators, and the equation of motion of such a system linearly maps into a Schrodinger equation whose Hamiltonian matrix is diagonal, with h times the individual simple harmonic oscillator frequencies as its diagonal entries. Therefore if the coupling-strength matrix of such an oscillatory system is presented in symmetric, positive-definite form, the Hamiltonian matrix of the Schrodinger equation it maps into is h-bar times the square root of that coupling-strength matrix. We obtain a general expression for mapping this type of oscillatory classical equation of motion into a Schrodinger equation, and apply it to the real-valued classical Klein-Gordon equation and the source-free Maxwell equations, which results in relativistic Hamiltonian operators that are strictly compatible with the correspondence principle. Once such an oscillatory classical system has been mapped into a Schrodinger equation, it is automatically in canonical form, making second quantization of that Schrodinger equation a technically simple as well as a physically very interpretable way to quantize the original classical system. http://prespacetime.com/index.php/pst/article/view/294

Nonlinear Theory of Elementary Particles Part XIV: On Photon and Electron Structure (by Alexander G. Kyriakos)

In the present article is shown the equivalence of the description of particles as point-like in the framework of quantum theory and as non-point-like in the framework of the nonlinear theory of elementary particles (NTEP). It is shown that non-point electron explains many peculiarities of quantum theory with respect to the classical theory. It is shown that the non-point structure of the electron allows us to calculate the characteristics of the electron and, in particular, to prove the universality of the electron charge. http://prespacetime.com/index.php/pst/article/view/295

## The Wall