COMPLETE DYNAMICAL FRAMEWORK OF TRUE AND FIRST VALIDATION ON A GRANULAR SYSTEM

This document establishes the complete dynamical framework of the TRUE reading grid. It is based on the K field, a local density of constraint. It defines the complete temporal operator, the connected saturated zone rule, and the damped continuous adaptation principle for structural reorganisation. The former formulations based on a fixed gamma zero constant or on an exponential form of K dyn are suspended. A first non-meteorological validation is presented on a two-dimensional sandpile. This simple granular system shows that the mechanism of accumulation, threshold, relaxation and redistribution produces avalanches of all sizes, and that damped continuous adaptation applied to leaks preserves criticality without drift. This framework is universal and provides a method for application to specific domains, without forcing the grid.