Critical Analysis of the Dirac Field: From Mathematical Elegance to the Rupture with Ontological Reality

The Dirac equation, while mathematically elegant, poses fundamental **ontological ruptures** by requiring non-physical procedures like the subtraction of infinite vacuum energy and relying on unobserved **virtual particles** for prediction. This paper analyzes this crisis, arguing that the success of Quantum Electrodynamics (QED) is purely *predictive* (instrumentalism), not *ontological*. We emphasize that the continued acceptance of infinite renormalization and non-physical kinematic states hinders the search for a simpler, causal, and geometrically honest theory where every mathematical element corresponds to a detectable physical entity or process. The ultimate solution must generate stable fermionic states through intrinsic **Structural Phase Invariants** rather than abstract algebraic rules.