Quantized Dimensional Closure: Compton Realization and Operator Sector Selection

The Quantized Dimensional Ledger (QDL) represents physical quantities as integer-valued dimensional exponent vectors and tests constructed expressions against declared closure conditions. This paper develops quantized dimensional closure in two steps: first, by identifying a physical realization of the Quantized Dimensional Cell (QDC), whose isotropic dimensional form is length cubed times frequency squared; and second, by showing that modular QDL sectors can refine ordinary canonical dimensional analysis. For a massive excitation, the Compton wavelength and Compton frequency define a localization-frequency package whose product, wavelength cubed times frequency squared, has the same dimensional form as the…