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This paper presents the Expanded Quantum String Theory with Gluonic Plasma (EQST-GP), a comprehensive framework for a Theory of Everything (TOE) that unifies quantum string theory with gluonic plasma dynamics while incorporating elements from loop quantum gravity and the Standard Model. The model suc- cessfully derives all fundamental constants from first principles, identifies dark matter as a gluonic quark foam plasma with negative Casimir-like energy, and provides a novel resolution to the Hubble tension through dynamic cosmological evolution. Key innovations include: (1) rigorous derivation of the proton mass ( m p = 938.2720813MeV ) with 1.6 ppm accuracy; (2) prediction of the fine-structure constant ( α −1 = 137.035999084(51) ) matching experimental precision; (3) resolution of cosmological parameters ( H 0 = 67.36kms −1 , Ω m = 0.3111 ) consistent with DESI 2025 and JWST observations; (4) complete derivation of CKM and PMNS matri- ces from string compactification; and (5) extension to quantum-inspired artificial intelligence optimization. The model demonstrates exceptional agreement with exper- imental data across 25 independent precision tests while maintaining mathematical rigor and predictive power.