The Bidirectional Correspondence Between Referential Relations and Physical Quantities and the Conservation of the Total Number of Relations

This paper examines the bidirectional correspondence between referential relations and physical quantities within the framework of Referential Entropy Cycle Theory (RECT). RECT proposes that the existence of a physical quantity requires a corresponding referential relation, and conversely, that the existence of such a relation necessarily corresponds to a physical quantity. This bidirectional principle provides a relational foundation for understanding the construction and definition of physical quantities. Building on this principle, the paper investigates the conservation of the total number of referential relations. It examines how the number of relations is determined by the number of reference structures and how relational configurations may change while respecting the proposed conservation principle. The work aims to establish a mathematical connection between referential structures, physical quantities, and relational conservation, contributing to the broader mathematical development of RECT.