What question did this study set out to answer?

The aim is to analyze the structural compatibility of information systems using the AAM-V1 approach through Topological Tension.

February 20, 2026Open Access

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

Key Points

The aim is to analyze the structural compatibility of information systems using the AAM-V1 approach through Topological Tension.
Developed the Artsyba-shev Analysis Method (AAM-V1) for structural analysis.
Introduced the Toroidal Form-Energy Framework (TFEF) v2.1 as a tool for analysis.
Utilized a toroidal reference surface discretized by a 19 × 18 node grid to calculate metrics.
Confirmed the stability of metrics when applied to complex cyclic structures.
Identified zones of Negative Abstract using the Topological Dissonance Index (TDI).

Abstract

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.

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