The Hybrid Sudhakar Schwarzschild–FLRW Cosmological Model

This paper presents a unified cosmological framework combining local black hole physics with global expansion dynamics through the Hybrid Schwarzschild-FLRW Model. We develop a theoretical construct embedding Schwarzschild-de Sitter vacuoles within an FLRW universe, analyze its gravitational dynamics, and validate against CMB, BAO, and large-scale structure observations. The model reconciles numerical coincidences in simple Schwarzschild approaches with ΛCDM cosmology while preserving GR consistency.