Repetition-Anchored Default Operations and State-Transition Theory (RADOST): A Generalized Theoretical and Mathematical Architecture for Default-Guided Operations, Divergence, Outcome Evaluation, and State Updating

AbstractThis manuscript proposes Repetition-Anchored Default Operations and State-TransitionTheory (RADOST), a generalized framework for analyzing how prior histories, repeatedpatterns, learned regularities, established rules, or accumulated information may generatedefault references that influence subsequent system operations. These operations may includeobservation, selection, classification, labeling, projection, signaling, inference, prediction,evaluation, decision-making, action, communication, and updating.The proposed architecture separates default construction, default-guided operation, currentinput, operational output, verified outcome, divergence, and subsequent state updating. Itdistinguishes predictive states from realized outcomes and separates an isolated deviationfrom a persistent transformation. The framework also accommodates multiple observers,targets, operators, recipients, and validation systems.The primary case concerns an individual who repeatedly wears scent when meeting friends.On one occasion, the individual arrives without scent, yet a friend asks whether scent wasused again. This case illustrates a possible persistence of a repetition-anchored expectationdespite a current deviation. The question is treated as an observable communicative event,not as conclusive evidence of every participant's internal belief or unconscious state.