Consistency of the SV0 Minimum Radius with Modern Quantum Cosmology: A Comparison with LQC, String Gas, and Asymptotic Safety

In this paper (Paper XLV of the SV0 series), we perform a rigorous consistency check of the minimum radius of the universe (R_min ≈ ℓ_Pl) derived in the Signed-Volume (SV0) framework. We introduce the term Spacetime Quanta (replacing the earlier "Space Packets") to align our terminology with mainstream quantum gravity literature. We compare the SV0 minimum radius with three leading paradigms in modern quantum cosmology: Loop Quantum Cosmology (LQC), String Gas Cosmology (SGC), and Asymptotic Safety. We show that the SV0 result is in complete agreement with these frameworks, as all predict a non-singular bounce at the Planck scale. However, we highlight a unique advantage of the SV0 model: unlike LQC or SGC, where the bounce mechanism relies on ad-hoc parameters (e.g., the area gap or string length), the SV0 bounce is a geometric inevitability derived from the holographic bound, the discrete Spacetime Quanta, and the logistic exchange law. Keywords:Quantum Cosmology; Loop Quantum Cosmology; String Gas Cosmology; Asymptotic Safety; SV0 Theory; Spacetime Quanta; Quantum Gravity.