Anonymous Equal-Amplitude Composite-Wave Model: Basic Axiom System v6

A pure definition paper for Basic Axiom System v6 of the Anonymous Equal-Amplitude Composite-Wave Model, preserving the concept DOI of v3-v5. Version v6 adds, between Axiom 16 and Axiom 17, one working axiom and three derived consequences that ground the adoption conditions of Axiom 16: Working Axiom I states the phase-difference sine relational update rule as an explicit working hypothesis satisfying the antisymmetry condition; Consequence 16.1 (under Working Axiom I) gives the vertex decomposition K = sum_k (c_k s_k^T - s_k c_k^T) and the linear rank bound rank K <= 2 min(N, floor(M/2)), so rotation modes grow at most linearly while relational waves grow quadratically; Consequence 16.2 (computer-assisted proof, 3 <= N <= 12) states the generic-position rank equality proven by exact rational witnesses combined with the measure-zero property of real-analytic zero sets, with the generic kernel dimension N(N-5)/2 for N >= 5, while equality for all N remains a new hypothesis; Consequence 16.3 states normal uniqueness — the normal-candidate space has dimension d-2 and sign-free uniqueness holds only for d = 3 — as the basis of the second adoption condition of Axiom 16. Proofs are given in Paper 3 of the Dimensional Generation Structure series (Concept DOI: 10.5281/zenodo.21465898).