This work establishes the rigorous mathematical foundations for the Holographic Corq Cosmology, unifying the origin of the electroweak hierarchy with the dynamics of a cyclic universe. By embedding the Standard Model into an F-theory compactification on a Deformed Conifold, we derive an analytic Master Hierarchy Formula dependent on discrete flux quanta. We demonstrate that the minimal integer choice consistent with three generations (K = 3, M = 1) naturally fixes the confinement scale precisely at ΛIR ≈ 55.3 TeV and the inflationary spectral index at ns ≈ 0.968, resolving the hierarchy problem without fine‑tuning. Moving to the cosmological evolution, we prove that the initial singularity is resolved by a T‑Dual Big Bounce at the string scale (Rmin ∼ √α′). We validate the unitarity of this transition via the Ryu–Takayanagi area functional, showing that the holographic entropy remains strictly positive across the bounce. Furthermore, we identify the mechanism for baryon asymmetry as a topological spectral flow (ΔNCS = 3) triggered by the bounce. Finally, we compute the stochastic gravitational‑wave spectrum, predicting a unique multi‑band signature: a blue‑tilted acoustic peak detectable by LISA and a confinement‑transition peak at ∼1 Hz visible to DECIGO, offering a definitive experimental test for the model.
Emiliano G. Greco (Fri,) studied this question.