Quantum Nomological Argument: Proving the Necessity of the Universe Through Formal Logic

Abstract

Note: On v3:Improved notation, clarified formal steps & Ground Base definition that were not previously shown.This paper presents a formal-logical model examining the ontological status of the quantum vacuum within the framework of contemporary Quantum Field Theory. By formalizing the Energy-Time Uncertainty Principle as a baseline premise, the study investigates the operational constraints governing quantum fluctuations and their underlying field structures. Utilizing propositional and modal logic frameworks, the paper explores the logical necessity of non-zero boundary conditions and evaluates the ontological status of the quantum field as a foundational ground base. The work aims to contribute a rigorous, mathematically-grounded perspective to ongoing discussions in philosophy of physics and contemporary ontology.