The Silva-Klein-Kerr (SKK) Metric V2.1: A Unitary and Geodesically Complete Solution to the Kerr Singularity Paradox

Abstract: "This paper presents the Silva-Klein-Kerr (SKK) V2.1 Metric, an exact solution to the Einstein field equations under the unimodular gravity framework that resolves the gravitational singularity paradox. By integrating Barrow’s fractal thermodynamics, Kim’s Taub-NUT instanton rotation, and the Multitemporal Spring ($\Xi$) regulator, we demonstrate that the Kretschmann scalar remains finite ($K < \infty$) throughout the manifold. A signature inversion from Lorentzian $(1,3)$ to Kleinian $(2,2)$ at the Inner Edge reveals the emergence of a Gravitational Time Crystal, ensuring quantum unitarity and information preservation. This 'Geometric Foundation' establishes the theoretical basis for subsequent investigations into gravitational wave echoes and 12D F-theory integration, marking the transition from singular black holes to Unitary SKK Objects."