Vibrational Coordinates for the Description of Physical Systems

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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.