Classical strengthening models for high-entropy alloys (HEAs) emphasize configurational entropy and atomic size differences but fail to capture the rich topology of dislocation dynamics in chemically complex lattices. This work identifies and quantifies eleven previously under recognized mechanisms that dominate HEA strengthening: (1) frustrated slip geometry where strain fields curve dislocation paths, (2) random stress field superposition creating statistical barriers, (3) heterogeneous bond-stiffness landscapes, (4) short-range ordering mosaics, (5) local elastic modulus mismatch, (6) free energy landscape roughening, (7) electronic structure frustration, (8) suppressed dynamic recovery, (9) dislocation core spreading disorder, (10) mosaic grain boundary character distribution, and (11) topological blockage. Through topological analysis and statistical mechanics, we demonstrate that path frustration alone contributes 35-45% of total strengthening, comparable to classical Hall-Petch effects. Bond-stiffness heterogeneity adds 15-20%, while electronic frustration contributes 10-15%. These mechanisms explain counter-intuitive observations such as strength increases from ”soft” element additions and non-monotonic composition dependencies. The framework provides physical intuition for HEA design beyond traditional descriptors.