Topological Closure Without Quasiparticles: Field–Coherent Interpretation of the Semiconducting Phase Emerging at the Kondo-Critical Boundary

This publication presents a field-theoretical interpretation of the quantum critical behavior and topological semimetal phase emerging in the CeRu₄Sn₆ system. It introduces the ψ_closure index, τ_corr (coherence correlation time), and π(t) as dynamic field operators to reinterpret the Weyl–Kondo phase not as a particle-based phenomenon but as a time-dependent phase-locking resonance within the quantum field. The proposed framework offers an alternative to quasiparticle-based topological classification and suggests entropy-centered closure criteria. Measured phenomena such as Hall response and Berry curvature dynamics are reinterpreted as signs of field coherence or fragmentation. This work expands on previous Pragmatica Universus publications and provides diagnostic and theoretical tools for future quantum materials beyond the Landau paradigm.