Gravitational Tunneling via Inertial Snap-Through and Cosmogenesis: An Evolutionary Model of Eccentric Dark Matter Distributions

Title Gravitational Tunneling via Inertial Snap-Through and Cosmogenesis: An Evolutionary Model of Eccentric Dark Matter Distributions Description Abstract This paper presents a dynamical model of gravitational collapse that extends the analytic continuation of the Schwarzschild metric to address the singularity problem in classical General Relativity. By incorporating spin-torsion coupling (Einstein-Cartan Theory), we propose a "Snap-through Instability" mechanism—analogous to mechanical hairpin buckling. This mechanism posits that collapsing matter possesses sufficient inertial momentum to overcome the potential barrier at r=0, acting as activation energy that drives a topological phase transition. Instead of terminating in a singularity, the collapse tunnels into a negative manifold region (r<0), triggering a "White Hole" style Big Bang that results in a fractal, nested child universe. This model ensures the conservation of physical constants (c, G, ) while offering a novel explanation for the genesis of separate spacetime manifolds. Key Contributions & Predictions Inertial Snap-Through Mechanism: Defines gravitational collapse not as a static halt at infinite density, but as a dynamic overshooting event where vacuum potential releases, injecting matter into a new inflationary phase. Fractal Nested Cosmology: Proposes a multiverse structure where each parent black hole corresponds to a tunnel leading to an independent child manifold, governed by energy conservation based on historical mass flux. Gravitational-Geometric Decoupling (Dark Matter): The paper offers a geometric explanation for Dark Matter halos. It posits that "Dark Matter" is effectively physical matter located in the negative space (r<0) exerting influence on positive space. Evolutionary Eccentricity: A core prediction that as a child universe evolves and forms structures (galaxies), its Center of Mass decouples from the geometric center of the parent black hole. This "Gravitational Aging" explains the eccentric dark matter distributions observed in dynamic systems like the Bullet Cluster. Theoretical Framework This work builds upon and extends concepts from: Einstein-Cartan Theory: Utilizing spin-torsion coupling to prevent singularity formation. Cosmological Natural Selection: Following the tradition of Smolin (1992) regarding the inheritance of physical laws in baby universes. Torsion-based Bounces: Aligning with Popławski (2010) regarding radial momentum and spacetime expansion. Keywords Black Holes, Cosmogenesis, Dark Matter, General Relativity, Singularity Resolution, Torsion, Fractal Universe, Bullet Cluster, Gravitational Lensing, Snap-through Buckling.