UV Completion of Holographic Vacuum Evolution: A Single Calabi-Yau Compactification

This paper identifies a specific Calabi-Yau threefold from the Kreuzer-Skarke database that realizes the holographic vacuum evolution framework on a single compactification manifold. The double Swiss cheese geometry at (h¹¹, h²¹) = (3, 165), χ = −324, verified using CYTools (Polytope 2, divisor basis [2, 6, 7]), with flux superpotential W₀ = 0.009 and gauge ranks N₁ = 14, N₂ = 10, produces: (i) fibre inflation with n_s = 0.9695, r = 0.0049; (ii) a three-valley racetrack structure with volume-independent energy splitting ratio 0.636; (iii) right-handed neutrino masses compatible with thermal or resonant leptogenesis; and (iv) consistency with brane-flux nucleation at z ~ 15 for MOND activation. All six moduli of the compactification have identified physical roles spanning from inflation to late-time cosmic acceleration. The Kähler sector transitions are shown to be barrierless (spinodal), with Phase 2 timing controlled by a complex structure axion. The baryon asymmetry is connected to the inflationary volume through the LVS exponential hierarchy. Topological data for one-loop corrections (genus-10 orbifold self-intersection curves) is computed, identifying the single remaining calculation needed to close the open problems.