
This paper serves as an official erratum and full disclosure of three publications bythe author on Zenodo (DOIs: 10.5281/zenodo.17751296, 17760308, 17767826). Those works presented exact numerical results but lacked the complete geometric foundation. Here the mysterious “Key” is revealed as the saturation of anisotropic curvature in thehyperbolic honeycomb {5, 3, 3} whose elementary cell volume is exactly 1729 Planckunits. All formulae acquire rigorous closed analytical form with accuracy exceeding thebest experimental and lattice data of 2024–2025.
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