The Harmonic Table of Matter: A Systematic Catalog of the Resonant Modes of the Action Field

This work presents the systematic particle catalog derived from the principles of Quantum Action Theory (QAT) [1]. It demonstrates how the observed particle spectrum is a direct, calculable consequence of the harmonic modes of a single Universal Oscillator, first described in [2]. Particles are classified not by abstract quantum numbers, but by their fundamental geometric and harmonic structure based on two integers: the topological family `l` (the number of phase-locked lobes in the standing wave) and the harmonic mode `n` (the excitation level of each lobe). This table is not an empirical summary but a direct, predictive output of the Universal Oscillator Equation, providing a solution to the parameter problem of the Standard Model.