THE INFINITE DISCOVERY THESIS: On the Unboundedness of Astronomical Discovery and the Perpetual Expansion of Observable Reality

We present a comprehensive theoretical framework establishing that astronomical discovery is intrinsically unbounded and will continue indefinitely as long as conscious observers with expanding technological capacity exist. Based on the Epistemic Impossibility Principle (EIP) and the categorical correspondences between mathematical structures and cosmological spacetimes, we demonstrate that the observable universe constitutes only a finite section of an effectively infinite physical reality. We formalize this thesis through a rigorous mathematical analysis of the evolution of the knowledge space K(t), the dynamics of the epistemic horizon H(t), and the categorical functor Φ : NumInf₀ → CosmTop. Our central claim — that scientists will continue discovering new planets, galaxies, and stellar systems for centuries and millennia without end — follows as a necessary consequence of three fundamental principles: the inexistence of absolute epistemic limits; the continuous advancement of observational methodologies; and the structural correspondence between infinite mathematical continua and physical cosmological topology. We present explicit predictions regarding the rate of discovery expansion, the evolution of observable distance horizons, and the relationship between human technological progress and cosmic revelation. This work synthesizes insights from epistemology, category theory, observational cosmology, and the philosophy of science, establishing a meta-theoretical foundation for understanding the perpetual nature of astronomical exploration.