This paper introduces the Dual Universe Hypothesis, a cosmological model in which stars and black holes form a fundamental feedback system responsible for the creation and recycling of matter, energy, and information across cosmic time. In contrast to the linear entropy-driven model of mainstream cosmology, this work posits that the universe operates through recursion, with stars acting as engines of matter creation and black holes as agents of compression, transformation, and ejection.The theory integrates elements of General Relativity, Quantum Mechanics, and a novel formulation of Pressure-Driven Gravity (PDG), which reframes gravitation as a result of vacuum pressure gradients in a compressible spacetime medium. In addition, the Mirror Thesis is introduced as a speculative but cohesive metaphysical framework proposing that the universe evolves through reflection, feedback, and informational symmetry.Mathematical formulations include modified Einstein field equations with vacuum pressure terms, vacuum-based Euler equations for gravitational acceleration, and recursive operators for cosmic information encoding. The black hole information paradox, vacuum energy, entropy, and the arrow of time are all reexamined through this lens.This work is intended as both a theoretical model and a philosophical synthesis, offering an original approach to unifying physics and cosmology beyond standard paradigms.