Arithmetic Cohomology of Quantum Mock Modular Forms: Establishing Multiversal Constants through the Spectral Regularization of Divergent L-Values

Mathematical Applications of Science Fiction We present a rigorous derivation of multiversal physical constants via the arithmetic cohomology of quantummock modular forms. By extending the Eichler-Shimura isomorphism to the non-commutative geometryof the quantum upper half-plane Hq , we construct a spectral sequence that converges to the renormalizedvalues of divergent L-functions associated with automorphic forms of weight k ∈ 12 Z \ Z. We define theQuantum Shadow Map Sq and prove its surjectivity onto the space of quantum theta functions. The centralresult establishes that the critical values of these L-functions, when regularized via a spectral cutoff in theSelberg trace formula, yield a discrete spectrum of constants Λμ governing the vacuum energy density acrosstopologically distinct sectors of the multiverse. We provide exhaustive proofs for the convergence of thePoincaré series in the quantum regime and the non-vanishing of the associated regulators.