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

The ΛCDM framework inherently models spacetime as a continuous manifold, leading to singularities, the 10¹²² Vacuum Catastrophe, and the necessity of dark sector parameters. We present a discrete geometric framework modeling the universe as a quantized spatial manifold where time emerges exclusively from entropic metric retardation. By treating the spatial manifold as a discrete lattice with a fundamental proper length constraint ($l_p$), we deductively establish the resting interval of the unperturbed spatial metric at $L_{discrete}$ ≈ 4.06 × 10⁻³⁴ m. Macroscopically, to establish an uncorrupted baseline for the cosmic expansion, we filtered 4,322 galactic observations from the Cosmicflows-4 database into a kinematic "Goldilocks Zone" (20–60 Mpc). This isolation neutralizes local peculiar velocities and observational resolution limits, extracting a global baseline expansion rate of $H_{base}$ = 81.17 km/s/Mpc. Dividing the theoretical maximum oscillation limit (Planck frequency) by this macroscopic expansion rate yields a universal Time-Scaling Ratio of $S_r$ ≈ 7.03 × 10⁶⁰. By treating this ratio as the sum of fundamental geometric inertia limits (Planck masses), we deterministically derive the total absolute baryonic mass of the observable universe as 1.53 × 10⁵³ kg. This yields an exact match with independent Big Bang Nucleosynthesis (BBN) constraints, proving the universe operates as a closed, parameter-free discrete manifold driven solely by baryonic mass.