Quantum Cosmology of the SV0 Model: A Natural Derivation of the Non-Singular Bounce

This manuscript is the twelfth paper in a series establishing the Signed-Volume Effective-Fluid (SV0) model. In Papers I-XI, we introduced the SV0 model, derived its microphysics, analyzed its perturbations, established its dynamical stability, provided a string-theoretic embedding, constructed a unified cosmological history with an early-universe bounce (Paper IX), resolved the cosmological constant problem (Paper X), and analyzed its CMB signatures (Paper XI). In this twelfth work, we address the remaining theoretical limitation of the bounce model: the classical regularization factor (F) was previously introduced by hand. We remove this postulate and demonstrate that the bounce emerges naturally from the quantization of the SV0 minisuperspace. By constructing the Wheeler-DeWitt equation for the two-sector volume modulus, we show that the wavefunction of the universe remains finite and well-behaved at the classical singularities. The quantum uncertainty principle prevents the volume of either sector from reaching zero, effectively replacing the classical singularity with a quantum bounce. This work provides a rigorous first-principles derivation of the SV0 bounce, solidifying the model as a complete and quantum-consistent framework of cosmology. Related Works:Paper I: https://doi.org/10.5281/zenodo.24026844Paper II: https://doi.org/10.5281/zenodo.24032977Paper III: https://doi.org/10.5281/zenodo.24033838Paper IV: https://doi.org/10.5281/zenodo.24034927Paper V: https://doi.org/10.5281/zenodo.24035268Paper VI: https://doi.org/10.5281/zenodo.24035911Paper VII: https://doi.org/10.5281/zenodo.24038624Paper VIII: https://doi.org/10.5281/zenodo.24039486Paper IX: https://doi.org/10.5281/zenodo.24040648Paper X: https://doi.org/10.5281/zenodo.24046082Paper XI: https://doi.org/10.5281/zenodo.24046162