Finite Spectral Bare Stiffness, Spectral-Shell Endpoints, and Boundary Center Response in AQM : Structural Prerequisites for the Conditional Derivation of the Fine-Structure Constant

This paper establishes the structural prerequisites in AQM needed for a later conditional derivation of the fine-structure constant. It does not take the low energy fine-structure constant as the final numerical target of the present pa per. The task is to organize finite spectral bare stiffness, the UV spectral-shell endpoint, the IR boundary spectral gap, active central projection weights, and the boundary center response equation into a set of noncircular conditional lem mas. We first define