THE REFLEXIVE LOGICAL-FUNCTIONAL DIVERGENCE THEORY

This manuscript presents the proposed Reflexive Logical-Functional Divergence Theory (RLFDT), a general conceptual framework for analyzing the relationship between reflexive self-application, meta-level logical interpretation, and the functional processing of a specified system. The theory is not restricted to conditions, rules, or disorder. Those three subjects are retained as invariant primary test cases, but the general object of analysis is any suitably defined criterion, standard, concept, classification, operator, or formal structure that can be applied to its own representation, definition, or conditions of applicability. The central research problem concerns how a logical or semantic result obtained through such self-application relates to the operational behavior of the corresponding system. The relationship may be one of congruence, semantic reinterpretation, level-shift divergence, formal contradiction, functional divergence, reflexive recursion, or non-comparability. These outcomes are distinct and must not be treated as interchangeable. The proposed default mechanism, the Self-Application-Mediated Functional Divergence Mechanism (SAFDM), organizes the analysis into nine stages, from system-boundary specification and criterion typing to logical derivation, functional operationalization, comparison, and falsification. The blueprint specifies a general system model, a variable register, a divergence taxonomy, eight structural postulates, five preliminary research hypotheses, eighteen analytical layers, eight research domains, and a twenty-one-step research protocol. It also retains three invariant primary tests: condition absence, rule inoperativity, and persistent disorder with possible meta-level regularity. RLFDT is presented as a proposed research framework, not as an empirically established universal law. Its mathematical expressions define a formal vocabulary and comparison architecture; they do not, by themselves, establish that divergence occurs in every case. The theory's independent contribution, predictive value, formal consistency, and empirical scope must be assessed through literature review, explicit derivations, counterexamples, and appropriately designed studies.Keywords: reflexive self-application; meta-level analysis; formal logic; functional systems; logical-functional divergence; operationalization; system modeling; falsifiability