Oscillatory behavior is a defining feature of fundamental physical systems, fromclassical wave motion to quantum fields. Every oscillatory system exhibits two opposedstates, corresponding to positive and negative excursions around an equilibrium point.This paper formalizes the claim that physical oscillation inherently generates a polaritystructure: a pair of opposed states connected by symmetry and produced dynamicallyby the oscillation of a physical field. We show that this polarity framework is theminimal structural element underlying sign, phase, inversion, and duality in physicaltheories. A general sinusoidal model is used to demonstrate that the emergence ofpolarity is not a special feature of particular systems but follows from the universalmathematical form of oscillatory solutions to linear differential equations. The purposeof this work is not philosophical unification but to present a domain-pure physicstreatment of polarity as a structurally necessary feature of oscillatory phenomena.
James Reeves (Wed,) studied this question.