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RAPDtT: Operational Homomorphism for Black Boxes SystemS
This study shows how the RAPDtT model—based on Reception (R), Storage/Buffer (A), Processing (P), Dispatch (D), and internal and external transportation vectors (t, T)—functions as a minimal and sufficient operational homomorphism to open up and formalize the traditional black box. Using the record of inputs and outputs, we propose the operational equivalence Φ(Input) ~== -t-> R -t-> A -t-> P -t-> D -t-> (input). Rather than a strict mathematical identity, this relationship brings transparency to the structure of the system's transfer function. In doing so, we formalize its internal architecture with clear boundaries, traceability, and operational closure, facilitating homeostatic control through negative feedback. The minimality of the model was tested using Ockham’s razor: removing a single component invalidates the representation under the established requirements. By integrating Mario Bunge’s systemic ontology and W. Ross Ashby’s dynamic systems theory, we position RAPDtT as a provisional standard architecture to analyze, design, and audit physical–informational processes in bounded-flow systems.
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