Speaker
Description
abstract. Spacetime singularities represent fundamental limitations of classical gravity that require quantum resolution. We develop a dual geometric-dynamical framework combining: (1) anisotropic scaling for ultraviolet completeness and (2) pseudocomplex geometry for singularity resolution. This unified approach achieves simultaneous renormalizability, geodesic completeness, and unitary evolution without introducing extra dimensions or discreteness. For black holes, our theory predicts complete quantum suppression of singularities through both a protective potential barrier and geometric path completion, while preserving causality. The model yields distinct observational signatures in black hole thermodynamics and gravitational wave ring-down patterns that differ from both classical general relativity and established quantum gravity proposals. These predictions can be tested with next-generation astrophysical instruments. Our results demonstrate that space-time singularities arise when geometry lacks pseudo-complex extension or dynamics lack z= 3 scaling.