This working paper extends the Resolution Cosmology framework to the microscopic sector, proposing that the fine structure constant (α) is not a fundamental input to physics but a derived efficiency ratio of the "resolution cascade"—the sequential commitment of quantum possibility to geometric record. Anchored by the Pokorny et al. (2020) experimental demonstration of quantum resolution dynamics, and utilizing a rigorous Shannon channel capacity derivation, the framework models α as the efficiency of the resolution channel bounded by thermodynamic noise. This inversion reveals that the observed "stiffness" of physical constants (β ≈ 10⁻⁵) is actually a direct measurement of the exponential dominance of primordial Planck-epoch constraints over current thermal noise (SNR ≈ e¹⁰⁰'⁰⁰⁰). The paper yields a specific, falsifiable prediction for the redshift evolution of the fine structure constant (Δα/α ≈ -β ln(1+z)) consistent with current quasar absorption constraints. Furthermore, by integrating the Tolman temperature relation derived in the companion framework, it demonstrates that spatial variation of α must correlate with large-scale matter distribution, offering a unified explanation for the Webb dipole . This document supplements the main "Resolution Cosmology v5.2" framework and is released as a work in progress to stimulate discussion on the informational origins of physical constants