This compilation, titled "Two Papers on the Quantum Geometry of Inquiry HDT²," by Bruce Tisler, explores Holistic Data Transformation Theory (HDT²) as an architecture for verifiable knowing. The first paper introduces the theory and notation of the HDT² operator grammar and field geometry, emphasizing internal coherence. The second paper outlines the procedures and prototype for applying this framework, detailing how it handles failure modes and acceptance criteria for verifiable knowing. Together, the papers present a unified approach to addressing complex questions by integrating cognitive principles, AI engineering, and philosophical considerations within a quantum framework.