Datum Cascade: Recursive Cycles of Formation, Constraint, and Bounded Recursion

This paper formalises a recursive architecture of system formation across scale, identifying constraint as the governing mechanism between hierarchical levels. While structures are commonly described as nested (Universe → Galaxy → Solar System → Earth), transitions between these levels are not continuous but filtered. The Solar System is defined as an admissibility bottleneck, constraining the conditions under which Earth can emerge as a bounded recursive datum. Within this bounded system, internal cycles generate structure, time, and persistence. These include hydrological, carbon, biological, and energy cycles, which operate as interdependent recursive loops. Time is shown to emerge from these cycles rather than exist independently. The framework further demonstrates structural consistency across scale by identifying the human system as a micro-datum, operating under the same recursive principles as the Earth system. This establishes a closed-loop relationship between micro and macro systems, where local recursion both depends on and contributes to the larger system. The paper reframes system formation as constraint → compression → bounded recursion, positioning admissibility as the precursor to observable structure and recursive continuation.