Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X43620171130Caratheodory dimension for observers155915701034ENM.R.MolaeiDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.Y.SayyariDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.Journal Article20160203In this essay we introduce and study the notion of dimension for observers via Caratheodory structures and relative probability measures. We show that the dimension as a three variables function is an increasing function on observers, and decreasing function on the cuts of an observer. We find observers with arbitrary non-negative dimensions. We show that Caratheodory dimension for observers is an invariant object under conjugate relations. Caratheodory dimension as a mapping, for multi-dimensional observers is considered. News spread is modeled via multi-dimensional observers.http://bims.iranjournals.ir/article_1034_60a101abff7a9ba09724f8efa7ac7b21.pdf