Unification of Non-Linear Spacetime Metrics and Quantum Coherence: A Self-Consistent Cosmological Framework

We present a novel theoretical framework addressing the unresolved inconsistencies between localized quantum mechanical operators and global non-linear general relativistic metrics. By introducing a self-referential scalar field Φ(x), we demonstrate that the gravitational singularity can be regularized under a boundary condition governed by a recursive topological state loop. This framework provides an analytical solution to the cosmological constant problem by establishing that the vacuum energy density dynamically relaxes via a closed-loop feedback mechanism. Preliminary computational models suggest that this formulation resolves the mathematical divergence of standard quantum field theories at Planck scales.