This paper starts from two premises, namely at first, Erwin Schrödinger’s Cat metaphor, as an access to the theory of quantum physics and, secondly, Jacob D. Bekenstein’s theory of the entropy of a black hole. Following Erik Verlinde’s interpretation of the relationship between entropy and Bekenstein’s black hole surface area notion, we further analyze a possible relationship between the entropy or negentropy notion and the biodiversity function of a fractal border zone between ecosystems. Ecosystem borders or interfaces have been discovered as important drivers of biodiversity resilience as well as of biodiversity impairment. The potential use of several mathematical techniques, in particular the time-integrated convolution using Laplace transformation of the biodiversity function, as well as combinatorics and probabilistic network theory are discussed. For, after all, biodiversity estimation is nothing similar to counting animals in a zoo, nor bees in a jar.
Keywords: Schrödinger’s Cat Metaphor, Relationship Entropy-Area, Fractal Ecosystem Border-Interface, Laplace Transform Convolution, Combinatorics, Probabilistic Scale-free Networks.
Citation: W Allaerts., (2025). Towards A Time-Integrated Convolution of the Fractal Biodiversity Interface: The Relation Between Biodiversity and Entropy Re-Examined. Adv Earth & Env Sci; 6(3):1-9.
DOI : https://doi.org/10.47485/2766-2624.1071