Recursive Transport Stability Theory: Foundational Ontology, Formal Language, and the Conditions for Emergent Organization

This preliminary research manuscript presents the foundational ontology and formal-language programme of Recursive Transport Stability Theory (RTS), a research programme developed by Blair Lawrence to investigate whether stable organization, causal structure, and geometric properties can emerge from recursive informational organization. The manuscript establishes the conceptual scope of RTS, identifies its formalization requirements, and sets out conditions that must be addressed before stronger mathematical and physical claims can be established. It distinguishes proposed foundational commitments from unresolved definitions, proof obligations, and questions requiring further investigation. Research status: Preliminary research manuscript. This work has not been peer reviewed. Formal proof obligations remain open, and the manuscript should not be interpreted as demonstrating that the complete RTS framework has been mathematically established or empirically validated. Purpose of public release: To establish a citable public research record, document the development of the RTS research programme, and invite scholarly scrutiny, constructive criticism, and further investigation. Authorship: Blair Lawrence. AI tools assisted with aspects of manuscript preparation and editing; the author is responsible for the manuscript's content and for addressing its limitations. This manuscript is the first paper in a coordinated three-paper RTS series. The companion papers address the computational survey and reproducibility requirements, and the proposed physical implications and falsifiable research questions.