This work develops an intermediate layer between the purely combinatorialProjective Dynamic Logo (PDL) framework and continuum field/wave descriptions. Starting from existing PDL structures---the minimal (4, 6) closure as anelectron prototype, the hierarchical proton architecture with a finite activesurface, and a structural expression for the fine-structure constant₃₋---the paper introduces three tightly connectedcontributions. First, it formulates discrete Gauss- and Faraday-type relations in terms ofmixed proton--electron triangle fluxes across logical surfaces and theirvariation under coherence cycle counting, and shows how these relations can becoarse-grained into Maxwell-like equations for emergent fields, with₀ and ₀ fixed by ₃₋ rather thantreated as independent constants. Second, it proposes a combinatorial scheme for counting mixed trianglesN₌₈ₗ (S (r) ) on position shells around a proton, demonstrating that, under mild homogeneity assumptions on the relational sea, N₌₈ₗscales as 1/r^2 and thereby reproduces Coulomb-like radial field profiles. The associated minimal stable flux N₌₈ₗ^ (0) provides a naturaldiscrete origin for small phase increments = 2 /N₌₈ₗ^ (0) in effective wave descriptions. Third, it outlines PDL-consistent toy graph models in which localreconfigurations of a reduced relational sea induce a discrete Laplacian onposition classes, while the radial dependence of N₌₈ₗ (S (r) ) generates a Coulomb-like effective potential. In an appropriate scaling limit, the resulting dynamics approximates a Schr\"odinger-type equation with kineticand potential terms determined by the same coherence structure that underlies₃₋. The paper does not claim a full derivation of electromagnetism or quantummechanics from PDL, but it defines a concrete programme of combinatorialanalysis and numerical experimentation to test whether PDL’s discrete coherencestructure can robustly underwrite effective field and wave equations.
Cédric Laubscher (Fri,) studied this question.