Observer Based Emergence of Local Endo-time in Living Systems: Theoretical and Mathematical Reasoning

摘要

In this paper, we analyze the temporal dimension of the problem of emergence of functional networks in living systems and give an abstract mathematical framework for dealing with those issues without considering the structure of the particular mappings or the resulting dynamics. We found that formal structures equivalent to emergence of local ordering and local chronologies can be defined within the framework of topological relations based on local observers. By using category theory, we further represented higher levels of transformations (between closures), with a special focus on observer turnover.