The Abebe General Law of Tensility: A Unified Framework for Phase Transitions and Symmetry Breaking in Bound Systems

This dataset and accompanying specification formalize The Abebe General Law of Tensility, a proposed universal law governing structural stability, phase transitions, and symmetry breaking across bound systems. The law introduces the Abebe Tensility Index (ATI), a dimensionless order parameter defined as: Φ_z = τ / V_k where τ represents expansionary or destabilizing pressure and V_k represents cohesive or binding potential. Structural fracture or irreversible transition occurs when the ATI approaches the critical universal threshold: Φ_z, crit = 2.00 The law applies across materially distinct domains; Atomic, mechanical, biological, and macro-financial. Demonstrating a topological invariance of criticality. A pre-fracture regime, termed the Falling Manifold (1.80 ≤ Φ_z < 2.00), identifies systems under critical tension but still nominally operational, with measurable vulnerability to nonlinear transitions. This version (1.0 - Final Specification Lock) includes: Canonical and expanded forensic forms of the law Regime definitions (Elastic, Yield, Falling Manifold, Fracture) Illustrative operational baseline (March 13, 2026, Φ_z = 1.834) Explicit falsification tests for cross-domain validation This Zenodo record establishes the first public, timestamped, and hash-backed publication of the Abebe Tensility Index in its inverse canonical form, providing a reference point for empirical study, forensic validation, and cross-domain research.