Projective Dynamic Logo (PDL) Global Mapping of Structures, Results, and Open Problems (version 9)

This mapping document provides a systematic, meta-level overview of the Projective Dynamic Logo (PDL) programme. Rather than introducing new technical results, it organises the existing PDL corpus into a unified and coherently structured architecture, making explicit the logical dependencies between core components (relational axioms, minimal (4, 6) block, proton architecture, coherence-derived constants, discrete dynamics, leakage mechanisms, and emergent metric structure). It further classifies all statements according to their epistemic status, distinguishing rigorously established structural results, tightly constrained conjectures, and empirically calibrated elements. Version 8 incorporates two substantive revisions with respect to v7. First, the dependency diagram has been redesigned to reflect the current state of the programme: the constants sector is now split into two distinct branches — direct derivations of α, ħ, and kB from the proton surface architecture, and the prediction of G via the structural bridge formula established in the companion document D20-V3 — and a Born's rule node (Gleason-type uniqueness theorem) has been added to the dynamical chain. Programme-status components are now visually distinguished from established results. Second, the roadmap section corrects a reference to an earlier, superseded bridge formula (Δrᵥal ≈ 3φ²εG) and replaces it with the structurally derived expression of D20-V3, which predicts GPDL = 6. 67448 × 10⁻¹¹ m³kg⁻¹s⁻² to 27 ppm without free parameters. In addition, the document serves as a navigational guide to the PDL literature via concise summaries, cross-referenced indices, and a global result map, and it delineates a roadmap of open problems and prospective research directions, including the Dirac and Einstein-type extensions and the dialogue with the Theory of Objectivity. The intended audience consists of researchers in foundational and mathematical physics, quantum foundations, and related conceptual programmes who seek a compact yet systematic view of the current claims and internal structure of PDL.