SNO+, 0νββ, and the Modal Ontology of the Theory of Objectivity (TO): Compatibilities, Productive Tensions, and Operational Bridges between Experimental Neutrino Physics and Deductive Cosmology

This article develops a critical–propositional analysis of Inácio (2024) in disciplined confrontation with the foundational and recent literature of the Theory of Objectivity (TO), using the SNO+ program—especially its tellurium-loaded phase targeting neutrinoless double beta decay (0νββ) in ¹³⁰Te—as a privileged empirical arena where experimental method, conservation, symmetry, mass, and information become methodologically inseparable from ontological commitments. The paper does not claim that TO replaces contemporary particle physics or modern cosmology as predictive substitutes. Instead, it advances the thesis that TO must function as a logical–ontological base for any coherent model of a possible universe, given the modal necessity of its seven axioms and the AI-assisted evaluations that propose explicit testability schemes and revision rules for TO’s phenomenic elements and cosmological eras (Cabannas & Silva 2025; Vidamor & Silva 2026). In TO’s own terms, the framework is grounded on seven absolute truths taken as logically self-evident and articulates a complete theorem of universal emergence through a proprietary graph-based mathematical language, rather than conventional mathematics (Cabannas & Silva 2016, 2018), and a cosmological genesis narrative that unfolds from an eternally prior “perfect logical sphere” through boundary-forming and inductive processes (Cabannas & Silva 2020). Against this background, the SNO+ trajectory toward 0νββ is reconstructed as a concrete testbed for ontological discipline in experimental reasoning. The paper makes three core contributions: Methodological reconstruction of SNO+ logic (via Inácio 2024): the experimental strategy is interpreted as an instance of multi-witness existence conditions, emphasizing redundancy, cross-channel corroboration, and background control as epistemic operators rather than merely technical requirements. Disciplined phenomenic hypothesis: within TO’s cosmological vocabulary, neutrinos are examined—under explicit safeguards—as potential phenomenic manifestations of TO plasmas, clarifying what would count as empirical traction versus post-hoc reinterpretation. Operational bridges from TO to measurable invariants: the Expansive Inductor Effect (EIE) and Reductive Inductor Effect (EIR) are mapped to experimentally controllable invariants relevant to rare-event searches, including background stability, cross-channel redundancy, and boundary robustness (instrumental, statistical, and physical boundaries). These bridges are proposed as operational constraints that can be tested, challenged, and revised. The article closes by specifying falsifiability clauses and methodological safeguards against post-hoc elasticity, aligning the TO–SNO+ dialogue with the stated aim of avoiding immunizing reinterpretations. Even in the absence of a positive 0νββ signal, the paper argues that progressively stronger limits can still be leveraged as structured constraints on mechanism space—and, under TO’s discipline, as constraints on how mass, symmetry, and informational budgets can be coherently related in fundamental physics. Keywords: SNO+; neutrinoless double beta decay; 0νββ; ¹³⁰Te; Majorana neutrinos; lepton-number violation; rare-event searches; experimental neutrino physics; modal ontology; Theory of Objectivity; phenomenic elements; Expansive Inductor Effect; Reductive Inductor Effect; operational bridges; falsifiability; background modeling; cross-validation.