Patterns in Calabi-Yau Distributions
Yang-Hui He, Vishnu Jejjala, Luca Pontiggia
TL;DR
This paper investigates the distribution patterns of topological numbers in Calabi-Yau manifolds, revealing new statistical regularities and fitting distributions that suggest typicality within the landscape of these complex geometries.
Contribution
It uncovers novel distribution patterns in Calabi-Yau topological data, demonstrating that these patterns follow pseudo-Voigt and Planckian distributions with high confidence.
Findings
Distribution patterns follow pseudo-Voigt and Planckian functions.
Mirror symmetry is well-known, but new frequency patterns are discovered.
Patterns suggest typicality in the Calabi-Yau landscape.
Abstract
We explore the distribution of topological numbers in Calabi-Yau manifolds, using the Kreuzer-Skarke dataset of hypersurfaces in toric varieties as a testing ground. While the Hodge numbers are well-known to exhibit mirror symmetry, patterns in frequencies of combination thereof exhibit striking new patterns. We find pseudo-Voigt and Planckian distributions with high confidence and exact fit for many substructures. The patterns indicate typicality within the landscape of Calabi-Yau manifolds of various dimension.
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