The Observational Cosmic Web and the Ontological Necessity of Relational Structures: An Expanded Reading of the SDSS-IV Cosmic Web Catalog in Light of the Theory of Objectivity

This article develops an expanded, critical, and propositive reading of the SDSS-IV Cosmic Web Catalog in light of the Theory of Objectivity (TO). It argues that the large-scale relational structure of the observable universe—expressed through filaments, nodes, walls, and voids—may be interpreted as a late phenomenic manifestation of a deeper logical and ontological order grounded in the Seven Absolute Truths of TO.

The study maintains that the Theory of Objectivity does not seek to replace modern physics or cosmology. Rather, it proposes that TO should be understood as the logical, ontological, and scientific foundation of any model coherent with a possible universe, given the modal necessity of its seven axioms. In this context, the article examines the compatibilities and tensions between the observational architecture of the cosmic web and the axiomatic structure of TO, especially with respect to boundary, relational existence, and hierarchical composition.

The paper further explores the theorem of the Perfect Sphere—understood as a necessary logical structure, eternal and prior to time, space, and matter—and articulates its relevance for interpreting the geometry of the cosmic web. It also applies the Expansive Inductive Effect (EIE) and the Reductive Inductive Effect (EIR) to the reading of filaments, nodes, walls, and voids, proposing that these cosmological structures may be analyzed as phenomenic expressions of deeper inductive dynamics.

In addition, the article advances the hypothesis that neutrinos may be understood as phenomenic manifestations of the plasmas described in TO, thereby opening a bridge between ontological cosmology, phenomenic elements, and possible empirical reinterpretation. The discussion is reinforced by dialogue with foundational and recent TO works, as well as with major authors in physics and philosophy of science, including Heisenberg, Einstein, Bohm, Prigogine and Stengers, Penrose, Hawking, Weinberg, and Kuhn.

By placing the SDSS-IV Cosmic Web Catalog in confrontation with the modal discipline of the Theory of Objectivity, this work proposes that the observed cosmic web can be read not merely as a contingent product of cosmic evolution, but as an empirically accessible structural expression of a more fundamental logical necessity.

Keywords: Theory of Objectivity; cosmic web; SDSS-IV; modal ontology; Perfect Sphere; cosmology; relational structure; inductive effects; neutrinos; phenomenic elements; large-scale structure; ontological foundations.