The Holographic Big Bounce and the Resolution of Time Zero: Dynamic Radion Stabilization, T-Duality, and the Topological Origin of Matter

We present a UV-complete cosmological framework that resolves the initial singularity and derives the origin of matter through the principle of Holographic Duality. Extending the 55.3 TeV Holographic Corq Model to the complex time domain, we demonstrate that the “Big Bang” is not a breakdown of physics, but a regular geometric bounce governed by T-Duality. We derive the exact solution for a dynamic Radion field stabilized by F-Theory fluxes (K = 3), showing that the universe tunnels through a minimum radius Rmin ∼ √α′ via a smooth trajectory, preserving unitarity. Crucially, we prove that this bounce induces a net spectral flow of the 5D Chern–Simons topological charge (ΔNCS = 3), providing the irreducible “genetic code” for the Baryon Asymmetry. Furthermore, the stabilization dynamics of the extra dimension generate a period of “Walking Inflation” governed by the geometric parameter ε ≈ 0.0318, which naturally reproduces the observed spectral index (ns ≈ 0.968). The model predicts a distinctive dual gravitational wave signature: a high-frequency background from the bounce and a verifiable confinement peak at 1.05 Hz (detectable by DECIGO/BBO) originating from the subsequent phase transition at 55.3 TeV.