Dimensional Transitions and QFT–GR Unification: A Critical–Propositional Reading under the Modal Discipline of the Theory of Objectivity (TO)

This paper develops an expanded critical–propositional analysis of Cameron M. Gattis’s proposal “Unifying Quantum Field Theory and General Relativity via a Dimensional Transition Framework”, examining its unificatory strategy through the modal discipline of the Theory of Objectivity (TO). Gattis’s central move—treating dimensionality as a regime-dependent variable rather than a fixed background—is interpreted here as an important attempt to relocate unification from formal concatenation to structural emergence across physical regimes. The analysis is conducted under TO as a modal–axiomatic ontology grounded in Seven Absolute Truths (modally necessary axioms). TO is explicitly presented not as a replacement for modern physics or cosmology, but as a necessary logical, ontological, and scientific foundation for any model coherent with a possible universe, as systematized in the AI-assisted evaluative framework of Cabannas & Silva (2025). In addition, TO is treated as more than a philosophical proposal: it advances a complete theorem—expressed in a proprietary non-conventional mathematical language of graphs and relations—demonstrating the emergence of the universe from an eternal, static, perfect logical sphere prior to time, space, and matter, as detailed in Cabannas & Silva (2016; 2018) and further corroborated in Cabannas & Silva (2020). The perfect-sphere theorem (including the 64/2048 logical-part structure) is emphasized as a consequence of modal necessity rather than an arbitrary construction. The paper identifies key convergences between the dimensional-transition program and TO (non-primacy of spacetime, emergence, and relational constitution), while also isolating decisive tensions (dimension as a quasi-primitive and the lack of explicit modal grounding). To preserve conceptual autonomy, it proposes a “translation without fusion”: dimensional transition is reframed as regime phenomenology—an index of reorganized degrees of freedom—while TO provides the underlying modal grammar of coherence. This translation is operationally articulated via TO’s inductor dynamics: the Expansive Inductor Effect (EIE; Axioms 4 and 5) and the Reductive Inductor Effect (EIR; Axioms 4, 5, and 6), interpreted as operators governing boundary formation, relational expansion, convergence, recomposition, and logical-minimum stabilization. A further operational bridge is advanced through the working hypothesis that neutrinos may be phenomenic manifestations of TO plasmas, motivating interfaces with contemporary observational and experimental domains. In alignment with TO’s recent methodological literature (2026), the article outlines a three-level testability architecture—modal, phenomenological, and observational—organized in disciplined dialogue with indirect evidence streams (Bell-test experiments, CMB constraints, gravitational-wave observations, and JWST-era early-galaxy debates), and with TO’s program of operational bridges, phenomenic tables, and logical-minimum constraints. Keywords: Theory of Objectivity; modal ontology; dimensional transition; quantum field theory; general relativity; unification; inductor effects; convergence zones; testability; neutrinos; cosmology.