Black hole mass distributions at stellar and supermassive scales show discrete multi-modal structure where smooth power laws are predicted. At the stellar scale, LIGO/Virgo/KAGRA observations reveal two peaks at ~10 and ~35 solar masses matching a φ-harmonic sequence with seed mass M₀ = 3. 25 M☉ (φ² and φ⁵), and 16 systematic gaps whose scaling ratio of 1. 754 equals φ^ (7/6) to 0. 05% precision. At the supermassive scale, JWST overmassive black hole–galaxy ratios at z > 4 decompose to sixth-harmonic multiples of φ across three orders of magnitude (median residual 1. 8%). A specific, falsifiable prediction is presented: the MBH/M★ distribution at z ≈ 5 should show bimodal clustering when tested with Gaussian mixture models, with modes at ratios ~0. 070 and ~0. 043 separated by log₁₀ (φ) = 0. 209 dex. No other current framework makes this prediction. The JWST sample is approaching the 50–100 objects needed for statistical discrimination.
Adam Weldon (Sun,) studied this question.