Quantum Cosmology from Topological Shells

This work presents a preliminary theoretical framework connecting gravastar geometry, topological shell dynamics, information currents, and cosmological perturbations. The model treats the observable universe as the interior region of a gravastar-like structure whose shell behaves as a topological information interface. Stable winding excitations on the shell are interpreted as particle-like modes, while gauge interactions emerge from conservation of information currents on the shell geometry. The framework combines: gravastar junction dynamics, topological surface modes, information-theoretic currents, holographic entropy scaling, inflationary shell perturbations. Quantum fluctuations of the shell radius are shown to obey equations structurally similar to inflationary scalar perturbations. In the quasi-de Sitter regime, the model naturally produces approximately scale-invariant spectra. Key features include: charge as winding number, shell-based emergent gauge structure, entropy-driven cosmological expansion, shell fluctuation analogs of inflationary modes, information-induced modification of Friedmann dynamics. The work remains exploratory and incomplete. Several major open problems remain unresolved, including: full gauge-invariant perturbation formalism, realistic reheating, Standard Model gauge uniqueness, fermionic statistics, ultraviolet completion, observational consistency beyond leading order. This manuscript is intended as an early conceptual and mathematical research draft exploring possible connections between topology, gravitation, quantum information, and cosmology.