Extremal Quantum Black Holes and the Zero-Spin Vacuum: A Deterministic Framework for the Cosmological Bounce

Under the hypothesis that the semi-classical spin moment obeys a Langer-shifted topological quantization rule J = ℏ(s+1/2) derived from the non-commutative quantum group SU_q(2) at the Planck scale, the discrete mass spectrum of extreme quantum black holes (EQBHs) is constructed based on a quantized Christodoulou-Ruffini mass constraint. The uncharged bosonic ground state sets a stable sub-Planckian mass floor of M_P/√2, preventing physical collapse into a singularity via a non-vanishing minimal spin horizon pixelation. At trans-Planckian densities within a contracting universe bubble, the accumulation of a macroscopic gravitino Cooper-pair Bose-Einstein condensate deforms the local vacuum metric. The maximum packing efficiency of this coherent bosonic phase is bounded by the Kepler-Hales volume fraction (η ≈ 74.05%), while interstitial boundary voids host stable fermionic relics acting as cold dark matter. Analytical continuation of the discrete mass spectrum via Riemann and Epstein spectral zeta-function regularization isolates a critical transition scale of M_crit ≈ 0.5601 M_P, where the resulting negative quantum vacuum pressure acts as a topological Casimir energy floor that locally violates the Strong Energy Condition, successfully driving a localized loop quantum cosmology (LQC) bounce. The framework yields strict, parameter-free observational signatures: the tensor-to-scalar ratio is frozen at r = 0.0307 ± 0.00045, and the isotropic cosmic birefringence angle is constrained to the corridor Δβ ∈ [0.033°, 0.084°], offering sharp benchmarks for upcoming CMB polarization experiments (LiteBIRD, CMB-S4). Additionally, a top-down chiral helicity-locking mechanism driven by background axial Cartan torsion is shown to preserve exact linear angular momentum conservation during Standard Model particle creation phases.