Mathematical Foundations of the Ψ[A] Framework: Measure, Self-Adjointness,and BRST Consistency

This preprint establishes the mathematical foundations for the Ψ[A] framework of quantum gravity, resolving key issues related to the functional measure, self-adjointness of operators, BRST cohomology, and renormalization group flow. It connects three prior works into a rigorous base for phenomenological predictions.