The Qualification for Ignition Is an Unstable Relative Equilibrium: A Qualification Screening of Three Initial-Value Families in a Relational-Wave Closed System

Paper 2 of the series "Foundations of Self-Consistent Relational-Wave Closed Systems" (10 papers). Using a controlled experiment in which only the initial value (floor) is swapped while the physical map is unchanged, we establish that the inflation (Paper 6) and SSB (Paper 5) of the relational-wave closed system are not started from a conveniently planted seed. Three initial-value families are tested for N=3..40 over 500 steps: (A) a symmetric parent with phases 0/90 degrees (equal amplitude), (B) a centroid-zero parent, and (C) a high-symmetry theoretical floor (cyclic-Fourier relative equilibrium). Only (C) and the make_parent eigenmode floor used by the data ignite from the floor via an exponential ramp; (A) and (B) do not (neutral fixed point or immediate relaxation). The qualification for ignition is an unstable relative equilibrium only; high symmetry, centroid zero, and square-closure are not qualifications. This is the initial-value-controlled version of the onset-mode discrimination result (Concept DOI 10.5281/zenodo.21798854). Author: Noriaki Kihara (WF System Co., Ltd.), ORCID 0009-0004-6753-4020.