Detecting fXOR Structure: Self-Consistency, Balance Closure, and Framework Recognition

This technical note addresses the problem of determining whether a given system, dataset, or formulation implements the fXOR framework. Rather than relying on implementation details, software artifacts, or external performance measures, fXOR is characterized and detected through structural criteria: balance-centered state evaluation, phase continuity, and closure under constrained traversal. The paper shows that fXOR cannot be reliably identified through black-box observation or output analysis, as its defining properties are relational rather than algorithmic. Detection therefore requires the application of the same balance logic that defines the framework itself. This self-consistency is shown to be non-circular and analogous to structural validation in formal systems. No specific application, simulation, or software implementation is assumed. This technical note provides explanatory material only. It does not grant rights to implement, reproduce, or claim the fXOR framework itself