Spectral Asymmetry and the Motivic Regularization of Spacetime Singularities in Lorentzian Ricci Flow

Mathematical Applications of Science Fiction We present a rigorous construction of a renormalizedLorentzian Ricci flow on 4-dimensional globally hyperbolicspacetimes, utilizing the spectral asymmetry of the Diracoperator to neutralize curvature singularities. By embed-ding the spacetime configuration space into a derived stackof motivic integration, we define the Selene-Zeta functional,which regulates the ill-posed hyperbolic evolution equa-tions. We prove that finite-time singularities in the clas-sical flow correspond to removable poles in the motivicL-function associated with the geometry. Consequently, weestablish the existence of a unique, geodesically completesolution across the singularity via a transition through anon-Archimedean perfectoid space. This framework uni-fies the Atiyah-Patodi-Singer boundary conditions with theKontsevich-Denef-Loeser motivic measure, offering a non-perturbative resolution to the information loss paradox inblack hole thermodynamics.