Generalized Algorithm for Fermionic Systems

The Microstate Elimination Algorithm (MEA) is a novel combinatorial method developed to efficiently compute microstates in fermionic systems under specific constraints. Unlike traditional enumeration techniques, which rely on manual state-filling or complex combinatorial steps, MEA systematically eliminates invalid configurations using an exclusion-based approach. This significantly reduces computational effort while maintaining accuracy. The algorithm is particularly useful in quantum statistical mechanics, thermodynamics, and condensed matter physics, where microstate counting plays a crucial role.