The Bounded Origin State: Resolving the Big Bang Singularity and the Hubble Tension via the General Theory of Correspondence

This paper introduces the General Theory of Correspondence to resolve fundamental cosmological paradoxes, including the Big Bang singularity, the Vacuum Catastrophe, and the Hubble Tension. By defining the universe as a scale-invariant, nested superfluid manifold anchored by a fundamental scaling constant, the framework provides a unified, first-principles derivation of cosmic age, density, and thermodynamic evolution without requiring hypothetical inflationary fields.