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May 18, 20260 citationsOpen Access

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

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ALAbraham J. Letter

Key Points

  • The aim is to identify a specific Calabi-Yau threefold that supports holographic vacuum evolution within a compactification framework.
  • Utilized the Kreuzer-Skarke database to select a Calabi-Yau threefold.
  • Verified geometric properties using CYTools and detailed calculations involving flux superpotential.
  • Explored roles of moduli in inflation and cosmic acceleration through topological data analysis.
  • Achieved fibre inflation with spectral index n_s = 0.9695 and tensor-to-scalar ratio r = 0.0049.
  • Identified a three-valley racetrack structure with an energy splitting ratio of 0.636.
  • Connected baryon asymmetry to inflationary volume through the LVS exponential hierarchy.

Abstract

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 nₛ = 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.

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Cite This Study

Abraham J. Letter (2026) studied this question.

synapsesocial.com/papers/6a0aad5c5ba8ef6d83b70cd0https://doi.org/10.5281/zenodo.20221791
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