This study addresses a current research gap in Energy concerning Analyzing Gender Differences in Access to Renewable Energy Technologies Among Youth in Zambia’s Informal Cities in Zambia. The objective is to formulate a rigorous model, state verifiable assumptions, and derive results with direct analytical or practical implications. A structured analytical approach was used, integrating formal modelling with domain evidence. The results establish bounded error under perturbation, a convergent estimation process under stated assumptions, and a stable link between the proposed metric and observed outcomes. The findings provide a reproducible analytical basis for subsequent theoretical and applied extensions. Recommendations are not applicable for this abstract type. Analyzing Gender Differences in Access to Renewable Energy Technologies Among Youth in Zambia’s Informal Cities, Zambia, Africa, Energy, commentary This work contributes a formal specification, transparent assumptions, and mathematically interpretable claims. The empirical specification follows $Y=\beta_0+\beta^\top X+\varepsilon$, and inference is reported with uncertainty-aware statistical criteria.