Localized Actualization in Algebraic Quantum Field Theory

This paper develops an explicit formal treatment of localized actualization within the Haag-Kastler framework of algebraic quantum field theory (AQFT), grounded in the foundational treatise of Mutual Exclusivity (ME), the philosophical meta-framework. Phenomenological Absolutism (PA) constitutes the core ontological principle of this meta-framework. By anchoring the notion directly in the axioms of local nets of operator algebras and their representation theory—particularly GNS constructions and local state restrictions—we strengthen the localization claim central to PA. Under PA, the sole actualized reality consists in absolute, localized phenomenal configurations (“is-ness”) in which epistemic and ontic structure coincide. ME ensures that relevant realizations (including successive ones) are ontologically exclusive, with no persisting global substrate. Apparent global or mind-independent entities reduce to internal representational content within specific absolute local configurations. The formalization preserves the predictive content of relativistic QFT while providing a rigorous algebraic basis for ME and its core principle PA, dissolving residual globalist assumptions and offering a minimalist resolution to issues in the philosophy of physics and mind.