PROJECTIVE DYNAMIC LOGO AND THE MODAL DISCIPLINE OF THE THEORY OF OBJECTIVITY: a critical–propositional analysis of Cédric Laubscher's PDL programme in confrontation with the Seven Absolute Truths, the phenomenic elements, the Inducer Effects, the cosmogonic theorem, and the cosmological Eras of TO

This article presents a critical–propositional analysis of Cédric Laubscher’s Projective Dynamic Logo (PDL) — Global Mapping of Structures, Results, and Open Problems (Version 19), published on Zenodo under the DOI https://doi.org/10.5281/zenodo.20039860, in dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. The study examines possible compatibilities and points of tension between the PDL programme and the Seven Absolute Truths of the Theory of Objectivity, especially regarding modal necessity, relational existence, boundary, coherence, finite signed graphs, K4, the proton quintuplet, coherence leakage, and the emergence of physical structures from logical-relational foundations. The article argues that PDL may be interpreted as a formal-combinatorial theory of relational closure, while TO provides a broader modal ontology of origin, boundary, transcendence, atomic radiation, and cosmological formation. Special attention is given to the TO interpretation of the transcendent element as knowledge or information produced in atomic relations, equivalent to atomic radiations. The analysis also articulates the PDL framework with TO’s phenomenic elements, Inducer Effects, cosmogonic theorem, and cosmological Eras. It identifies possible zones of indirect empirical dialogue involving nuclear stability, the Hubble tension, primordial black hole predictions, nuclear spectroscopy, and the cosmological constant. This analytical text counted on the analytical support of ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Projective Dynamic Logo; PDL; Cédric Laubscher; Denivaldo Silva; modal ontology; Seven Absolute Truths; finite signed graphs; K4; relational physics; coherence leakage; atomic radiation; transcendent substance; Inducer Effects; cosmogony; cosmological Eras; nuclear stability; Hubble tension; primordial black holes; cosmological constant.