Ahmet KoltuksuzCagatay YucelAnas Maazu Kademi2025-10-0620232405-844010.1016/j.heliyon.2023.e16653http://dx.doi.org/10.1016/j.heliyon.2023.e16653https://gcris.yasar.edu.tr/handle/123456789/7150The 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.EnglishPlanck level, Discrete n-dimensional digital manifold, Shannon digital information entropy, Information capacity, Bekenstein-Hawking information entropy, Delaunay triangulationENTROPYArticle