Absolute Infinite Information Theory: A Conceptual and Mathematical Inquiry into the Nature of Information and Infinity

This manuscript presents a conceptual framework that uses mathematical reasoning to examine the nature of information in the Universe. By analyzing the properties of infinite sets and real number intervals, the theory explores whether information can be considered an absolute and fundamental feature of reality rather than a relative or observer-dependent quantity. Drawing primarily from set theory and the mathematics of infinity, the work argues that information remains invariant under subdivision and scale, leading to the conclusion that information is infinite, conserved, and static at a fundamental level. While not proposing a physical model or experimentally testable predictions, the theory aims to contribute to foundational discussions at the intersection of mathematics, information theory, and the philosophy of physics.