AAM-V1: Method of Topological Tension Analysis Using the Toroidal Form-Energy Framework (TFEF v2.1)

This paper presents the theoretical justification and technical specification of the Artsyba-shev Analysis Method (AAM-V1)—an approach to analyzing the structural compatibility of in-formation systems through the metric of Topological Tension. Unlike classical entropy-basedmethods, AAM-V1 examines the interaction of an analyzed object with a reference geometry.The Toroidal Form-Energy Framework (TFEF) version 2.1 is described as the implementationtool for this method. The framework utilizes a toroidal reference surface, discretized by a19 × 18 node grid, to calculate the Topological Dissonance Index (TDI) and identify zones of”Negative Abstract.” Numerical verification results are provided, confirming the stability ofmetrics when analyzing complex cyclic structures that are inaccessible to spherical models(v1.0).Keywords: AAM-V1, Topological Tension, TFEF v2.1, TDI, Negative Abstract, Toroidal Geometry,Structural Analysis.