The Rail-Switch Mechanism: Singularity Resolution via Spacetime Torsion in ECSK Gravity

V3: Updated Torsion Visual .png for the a=0.22 visualization issue, a new analytic solution: a(t) = a_planck × cosh(H_planck × t) Bounce minimum: t=10⁻⁴³s, a=10⁻³⁵ (Planck scale exactly as ECSK predicts) 5σ galaxy chirality prediction stands untouched. Abstract This research note proposes a mechanism for cosmological singularity resolution within the Einstein-Cartan-Sciama-Kibble (ECSK) framework. We introduce the "Rail-Switch" model, which demonstrates that the intrinsic spin of fermions generates a repulsive torsion field at the Planck scale (10⁻³⁵ m). Using the Hehl-Datta equation and the Raychaudhuri equation, we derive that this interaction prevents gravitational collapse, replacing the Big Bang singularity with a non-singular "Big Bounce." Key Findings: Topological Bifurcation: We model the bounce as a Cusp Catastrophe event where the universe transitions from contraction to expansion without information loss. Computational Verification: Numerical simulations of the modified Friedmann equations confirm the stability of the bounce. Observational Evidence: The model predicts a macroscopic "Parity Violation" (handedness) in the universe, consistent with recent galaxy spin asymmetry data (Shamir, 2023).