EQST-GP Framework: Review to M-Theory Approach for Topological Dark Matter and the Cosmological Dynamic Constant in the Proposed Theory of Quantum Gravity

In this work, we explore the possibility that low-energy physics arises from a dynamic dimensionality reduction of M-theory on a topologically defined Calabi-Yau manifold. We propose that dark matter consists of stable topological configurations (Majorana gluons) of primordial gluon plasma, and that the cosmological constant acquires a redshift dependency via a negative Casimir mechanism in compact dimensions. This framework addresses fundamental challenges including the cosmological constant problem, dark matter identification, the Hubble tension, and the derivation of Standard Model parameters from first principles. The model proposes that dark matter consists of topologically stable Majorana gluons emerging from primordial gluonic plasma with negative Casimir energy, naturally explaining weak interaction cross-sections and GUT-scale masses. A dynamic cosmological constant Λeff(z) resolves the Hubble tension without fine-tuning. Through rigorous compactification on specific non-generic Calabi-Yau manifolds with carefully constrained topology (χ ≈ −960), the framework derives fundamental constants to unprecedented precision, including the proton mass (1.6 ppmaccuracy), fine-structure constant (0.37 ppb), and complete CKM matrix elements. We provide detailed mathematical derivations, numerical verifications, moduli stabilization mechanisms, and testable predictions for LISA gravitational wave observations, collider experiments, and cosmological surveys. The model successfully passes Swampland conjecture constraints and provides a physically motivated resolution to Weinberg’s cosmological constant prediction. This work establishes EQST-GP as a viable candidate for a Possible complete theory of fundamental physics.