Contextual Infinity: A Temporal Framework for the Quantitative Analysis of Infinite Processes

Infinity has historically represented an abstract and theoretically unattainable concept withinmathematics, thereby precluding its meaningful manipulation through standard arithmeticoperations such as addition, multiplication, and division. This paper presents the concept ofContextual Infinity, a novel theoretical framework that situates infinite series and processeswithin finite and empirically measurable temporal boundaries. By quantifying infinite growthprocesses within specific time constraints, this approach enables rigorous and meaningfularithmetic operations on infinite sets, fundamentally redefining infinity as a computationallytractable and empirically significant entity. Contextual Infinity bridges conventional theoreticalmathematics with applied disciplines such as computer science, physics, and philosophy,providing robust methodologies for arithmetic manipulations previously considered impossible inthe traditional conception of infinity.