Projective Dynamic Logo (PDL) — Global Mapping of Structures, Results, and Open Problems (Version 21)

This document provides a systematic and self-contained guide to the Projective Dynamic Logo (PDL) programme, covering the complete corpus D01–D53 plus auxiliary documents (D10a, D16a, D16b, DN, DN-fr, D01F, D20F, DL01, DL02, DM). PDL is a foundational physics programme that derives fundamental physical constants and dynamical laws from four combinatorial axioms on finite signed graphs, without presupposing spacetime, particles, or fields. Version 21 incorporates a single but structurally significant update relative to v20: the correction and completion of D48 (coherence stress-energy tensor, now version 3).D48v3 resolves four dimensional errors present in v1/v2 and closes two open problems. Principal changes relative to v20: (1) D48v3 (doi:10.5281/zenodo.20151380) replaces D48v1/v2. Four corrections: (C1) the geometric Chain 2 for V_C was a tautology — V_C is a theorem via Chain 1 alone; (C2) the formula for C^(spin) was dimensionally incorrect and the magnitude 1e-12 was unverified — corrected to C^(spin) = 0 in the homogeneous ground state; (C3) a factor m_p was missing in the formula for C^(orb); (C4) the formula for C^(leak) had units m^-2, not J/m^3, rendering the Einstein equation dimensionally inconsistent. (2) OP-spin is resolved as an unconditional theorem of C1–C4. Explicit computation over all 8 coherent configurations of K_4 and the 4 pulsation states T^k|+> gives <S^i> = 0 and <S^i S^j> = (1/4) delta^ij exactly. The Weyssenhoff–Raabe traceless part vanishes exactly. Combined with the London gauge theorem (D49), this gives C^(spin) = 0 in the homogeneous ground state. (3) All four components of C_coh are now unconditional theorems in uniform units J/m^3. The PDL Einstein equation G[g_eff] = kappa_PDL(N) C_coh is dimensionally consistent throughout. OP2-D35, OP1-D35, and OP-spin are fully resolved. (4) The entry for V_C in the corpus table, the glossary, and the epistemic architecture table are updated to reflect that the double-forcing claim of D48v1/v2 is replaced bya single rigorous chain (D10a) with a geometric consistency remark (D23). All other content of DM v20 is unchanged. The causal chain C1–C4 → Lambda_PDL, established in D51–D53 and synthesised in D53, is unaffected by the corrections to D48. Supersedes DM v20 (doi:10.5281/zenodo.20054876).