A Two-Sector Cosmological Model via CPT-Inverted Gravitational Coupling

Abstract: We propose a theoretical extension of General Relativity in which the classical equivalence principle is generalized to the modular form Mi = |Mg|, introducing an exotic matter sector with positive inertial mass and negative gravitational charge. The extended metric preserves standard Newtonian mechanics and thermodynamics while predicting mutual gravitational repulsion between ordinary baryonic matter and exomatter. We present the formal Lagrangian formulation, modified Einstein field equations, and N-body simulation framework for this two-component system. We further identify a set of independently observed cosmological anomalies — including anomalous void lensing, the integrated Sachs-Wolfe effect in supervoids, and the absence of the Lyman-alpha forest in cosmic voids — that are qualitatively consistent with the predictions of this model. The proposed framework is offered as a heuristic tool to explore the mathematical limits of the extended equivalence principle. By constructing a self-consistent model, we aim to stimulate further theoretical discourse on the macroscopic consequences of CPT-inverted gravitational couplings in early-universe cosmology