Projective Dynamic Logo (PDL) — Global Mapping of Structures, Results, and Open Problems (Version 29)

This document is the twenty-ninth version of the global mapping of the Projective Dynamic Logo (PDL) programme, covering the corpus D01–D63 and all auxiliary documents (DS01, DL01–DL02, D-exp series, N01). Version 29 supersedes v28 (DOI: 10.5281/zenodo.20646905) and incorporates two major additions. Document D62 derives the electroweak gauge boson masses from the coherence network Coh(K₄) ≅ ℤ₂³: the ratio M_Z/M_W = 1/cos(19π/119) is an unconditional theorem of C1–C4; the electroweak vacuum expectation value is conjectured as v = N_tot²/(R_e·k₁)·m_p at 676 ppm of the PDG value; and the Higgs mass is predicted as M_H/m_p = 133.611 at 1.49σ. This resolves open problem OP-D61-1 (W/Z mass ratio) at the structural level. Document D63 addresses open problem OP-D59-1 (quark mass spectrum from C1–C4) through two conjectures of distinct ontological character. Conjecture H_mass derives the valence quark mass ratio m_d/m_u = 2401/1104 as the ratio of coherence-pulsation costs |Q(K₂₈)|/|Q(K₂₄)|, yielding m_u = 2.155 MeV and m_d = 4.687 MeV within 0.37% of PDG values, with no free parameter beyond Δm_iso = 2.532 MeV (D31). Conjecture H_sea reproduces the sea quark masses m_s, m_c, m_b, m_twithin 2.5% of PDG via a residual-fluidity weighting R_sea/(R_sea+r(n)) derived from the proton quintuplet, selected by exhaustive scan over five candidate functions. The non-hadronisation of the top quark emerges as a structural consequence: r(332) = 54946 ≫ R_sea = 10087. A structural identity connecting the hadronic and cosmological sectors is identifiedfor the first time: n_u − 1 = pk₁ = 23, where n_u = 24 is an unconditional theorem of D47 and pk₁ = 23 is an unconditional theorem of D51. The programme now derives, from C1–C4 with sole external input Δm_iso = 2.532 MeV, the complete Standard Model gauge group SU(3)×SU(2)×U(1), the electroweak boson masses, and the full quark mass spectrum. The document provides: a complete corpus inventory (D01–D63 and all auxiliaries); the epistemic architecture table (layers L0–L16); two TikZ dependency diagrams (foundational chain and gauge sector, updated for v29); the complete list of open problems in priority order (OP1–OP-D63-3, including 8 new problems from D62 and D63); a table of 17 falsifiable parameter-free predictions (P1–P17, including quark masses and electroweak boson masses); a continuation guide with technical entry points; and a complete glossary of PDL-specific terms.