From Constructive Necessity to Pre-Geometric Organization Minimal Local Structures and Conditions for Geometric Realization

This paper develops a logically ordered transition from constructive necessity to geometric admissibility within the Organized Field Theory (OFT) architecture, without presupposing geometry as a primitive structure. Starting from the limits of a relational description, it establishes the minimal organizational conditions required for constructive composition, hierarchical generation, organizational closure, and conservative representation. Geometry is introduced only when it preserves the complete organizational constraint system without adding independent organizational content. The resulting sequence — Construction → Reduction → Organization → Representation → Geometric Admissibility → Realization — provides a methodological foundation for treating geometry as a constrained realization of prior organizational structure rather than as its primitive source. DOI: 10.5281/zenodo.22081590