Ahmet Hasan KoltuksuzCagatay YucelAnas Maazu KademiYucel, CagatayMaazu Kademi, AnasKademi, Anas MaazuKoltuksuz, Ahmet2025-10-062023240584402405-844010.1016/j.heliyon.2023.e166532-s2.0-85161009662https://www.scopus.com/inward/record.uri?eid=2-s2.0-85161009662&doi=10.1016%2Fj.heliyon.2023.e16653&partnerID=40&md5=457ecab4e14251d8f75a47295e6fd4bahttps://gcris.yasar.edu.tr/handle/123456789/8445https://doi.org/10.1016/j.heliyon.2023.e16653The definition and nature of information have perplexed scientists due to its dual nature in measurements. The information is discrete and continuous when evaluated on a metric scale and the Laplace-Beltrami operator and Gauss-Bonnet Theorem can map one to another. On the other hand defining the information as a discrete entity on the surface area of an n-dimensional discrete digital manifold provides a unique way of calculating the entropy of a manifold. The software simulation shows that the surface area of the discrete n-dimensional digital manifold is an effectively computable function. Moreover it also provides the information-geometrical evaluation of Shannon information metrics. © 2023 Elsevier B.V. All rights reserved.Englishinfo:eu-repo/semantics/openAccessBekenstein-hawking Information Entropy, Delaunay Triangulation, Discrete N-dimensional Digital Manifold, Information Capacity, Planck Level, Shannon Digital Information EntropyDelaunay TriangulationInformation CapacityBekenstein-Hawking Information EntropyDiscrete N-Dimensional Digital ManifoldShannon Digital Information EntropyPlanck LevelArticle