Vibrational Coordinates for the Description of Physical Systems
| Scientific Paper | |
|---|---|
| Title | Vibrational Coordinates for the Description of Physical Systems |
| Author(s) | [[]] |
| Keywords | simple harmonic oscillator, complex coordinates, Compton frequency, Hermitian metric symmetry, [[Hermitian?]Riemannian geometry]], Lorentz force, wave function, [[anti?]Hermitian curvature symmetry]], Maxwell |
| Published | 1991 |
| Journal | Physics Essays |
| Volume | 4 |
| Number | 1 |
| Pages | 20-29 |
Abstract
The introduction of special complex coordinates, motivated by vibrational systems, proves to be very useful in a comprehensive unification of gravitation with electromagnetism when applied to Einstein's Hermitian metric form. The geometry that follows is Hermitian?]Riemannian, with all symmetries modified accordingly. Charge appears in the field equations as the product of mass and frequency, preserving the equivalence principle, while maintaining a double?]valued Lorentz force term. Finally, quantization rules can be derived from various complex coordinate expansions involving only classical mechanical principles.