Causal Mathematics: From Abstract Structures to Universal Causal Laws

This paper proposes a novel framework for understanding the universe as a recursive causal system that evolves through entropic learning. Building upon the Recursive Causality Principle (RCP) and the Elemental Transformation Principle (ETP), the model asserts that stars, black holes, life, and intelligence are not separate phenomena, but emergent nodes within a unified recursive architecture. The universe, in this view, is not a static container, but a dynamic system that observes, adapts, and restructures itself through recursive feedback loops across scales. Intelligence, as we know it, may be the localized self-awareness of a recursive cosmos. By modeling recursion as a formal operator over entropic flux and structural stability, we provide a causal-mathematical foundation for a new cosmological paradigm: Recursive Cosmology.