Information Flow Theory: A Framework for the Emergent Nature of Mathematics and Reality

This paper presents a radical reconceptualization of mathematics not as a discovered eternaltruth or invented human construct, but as an emergent phenomenon arising from informationflow between interacting entities. We propose that reality operates through a hierarchicalcascade—from properties through interactions to information creation, information flow, andfinally to the emergence of mathematical structures. Crucially, information flow is bidirectionaland mutually transformative: entities change each other reciprocally, create new properties inone another, and can merge to form entirely new structures with emergent characteristics.These mathematical structures are contextual, dynamic, and layered, with each level obeyinglower-level constraints while generating novel rules appropriate to its domain. We argue thatour symbolic mathematics captures only static frames of an inherently dynamic reality, revealingfundamental limitations in how we model nature.