Topological Spacetime Cosmology: Resolving the Vacuum Catastrophe, the Hubble Tension, and Deriving the Absolute Baryonic Mass of the Universe via Entropic Metric Dilation

The standard ΛCDM cosmological framework relies on localized parameters to reconcile empirical observations with continuous manifold mechanics, culminating in the Hubble Tension and the 10^122 Vacuum Catastrophe. We present a purely thermodynamic geometric framework where macroscopic time emerges exclusively from metric dilation, rendering dark sector parameters mathematically redundant. To establish an uncorrupted kinematic baseline, we filtered 4,322 galactic observations from the Cosmicflows-4 database into a structural "Goldilocks Zone" (20–60 Mpc). This strict isolation neutralizes local peculiar velocities and observational resolution limits, extracting a pristine global expansion baseline of H_base = 81.17 km/s/Mpc. By dividing the theoretical maximum metric oscillation limit (the Planck frequency) by this macroscopic expansion rate, we derive a universal Thermodynamic Time-Scaling Ratio (Sr ≈ 7.03 × 10^60). We demonstrate that the inverse square of this geometric metric dilation natively bounds and resolves the Vacuum Catastrophe. Furthermore, by evaluating this scaling ratio as the aggregate of fundamental geometric inertia limits (Planck masses), we deterministically extract the absolute baryonic mass of the observable universe: 1.53 × 10^53 kg. This absolute derivation perfectly aligns with independent Big Bang Nucleosynthesis (BBN) constraints [9], mathematically proving that macroscopic cosmic deceleration is driven exclusively by ordinary baryonic stress-energy.