Axial Time: A Model of the Axial Temporal Continuum of Coordinates

This work proposes a formal model of axial time. The central idea is that temporal description need not be represented solely by a single external parameter. Time can also be described as a structure distributed along the coordinate or parametric axes of a system. In this representation, each axis is assigned its own axial temporal coordinate. The model introduces axial temporal coordinates and integration, a temporal core, weighted dispersion, normalized desynchronization, event-time forms, and normalization for heterogeneous quantities in both discrete and continuous variants. Its minimal result is a formal apparatus for describing distributed temporal organization. The article separates operational, formal, and physical-ontological levels. It does not claim to replace classical or relativistic time descriptions and does not prove a new physical law of time. The physical-ontological interpretation of axial time remains a hypothesis requiring further development. The proposed primary object is the coordinate-time-weight element (q_i, τ_i, w_i), which preserves the relation between a coordinate, its temporal coordinate, and its weight. This allows the model to distinguish structures that ordinary unweighted delay statistics may not distinguish.