Projective Dynamic Logo (PDL) — Global Mapping of Structures, Results, and Open Problems (Version 30)

Version 30 of the master navigation document for the Projective Dynamic Logo (PDL) framework, a foundational physics programme deriving fundamental physical constants and Standard Model structures from four combinatorial axioms (C1–C4) on finite signed graphs, without presupposing spacetime, particles, or fields. The sole external parameter is Δmiso = md − mu. This version supersedes v29 (10.5281/zenodo.20701571) and extends the corpus map to D01–D65, the PDL–OFN bridge note N01, and Note N02 (in preparation). New in v30: D64 — Soft Hair on PDL Closures: a structural correspondence, not a claim of identity, between the D50 surface-degeneracy theorem and the Hawking–Perry–Strominger soft-hair programme, together with an honestly reported negative result (a 36.7-order-of-magnitude, mass-independent discrepancy in naive nucleon-counting entropy). D65 — Two Limits of the Same Surface: behavioural correspondences between nucleon and black hole closures, including the theorem that any closed spherical PDL surface carries exactly two coherence defects, never zero; a curvature-migration exponent of exactly 1 near extremality (an open tension with the third law); and a nucleon-dissolution mass threshold M* ≈ 4.3 M⊙ falling inside the observed compact-object mass gap. Five new results from Session 67 of the PDL–OFN collaboration with Oleg Evdokimov, including a mathematical identity (not merely a candidate analogy) between the K2,2,2 tripartition and the perfect matchings of K4. Five new open problems (OP-D64-1, OP-D64-2, OP-D65-1–3), an updated dependency map, epistemic table, and falsifiable-predictions table. As throughout the corpus, every result carries an explicit epistemic label (unconditional theorem / corroborated conjecture / open problem / falsifiable prediction), and negative results are documented with the same rigour as positive ones. Full corpus, verification scripts, and version history: github.com/laubscher-lab/PDL-framework.