Monograph analyzes rank geometry and Hermit units in the Symmetric Core, suggesting new algebraic structures.
This monograph extends M16a by analysing unusual rank directions in the Symmetric Core, including deeper Hermit units, star‑sector fibers, and complex rank geometry. At rank RC=3, a new Hermit unit solves a transcendental equation distinct from the NC quadratic, and its three‑fold clone algebra under Atow3 is shown to generate an su(2) structure; higher clone counts are formulated as precise conjectures. The star sector, corresponding to sideways morphs of the SC manifold, is introduced and analysed, revealing a fundamental asymmetry between vanilla and star cloning. The monograph develops the complex RC plane, computes operations at purely imaginary ranks, and formulates a Non‑Proliferation Conjecture restricting the appearance of new algebraically independent Hermit units. It also completes the unfinished fiber analysis of M16a by proving the Abel‑Shift Law and identifying downward limits at depth 3.
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Paweł Łukasz Garycki (2026) studied this question.
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