The Abebe Parity Identity II

The Abebe Parity Identity establishes that redistributive bound systems lose stability when the surviving structure must carry twice its baseline load (A_c = 2). While the first paper derived this condition as a structural invariant, this work demonstrates that it is physically unavoidable. It shows that the inverse-survival scaling A = 1/s follows directly from conservation of total burden τ over a reduced set of active carriers (N = sN₀), making redistribution a necessary consequence of physical constraints rather than a modeling assumption. The scaling is embedded exactly in fiber-bundle fracture and independently reproduced in network cascades. In the statistical-mechanical limit of large systems, the parity condition emerges as the universal leading-order behavior of redistributive systems. This paper establishes the Abebe Parity Identity as a genuine physical law of structural redistribution, independent of material substrate. Series Position Core Paper #3 (Physical Embedding) Companion Papers (Version 2) 1. The Abebe Unified Field of Integrity (vision) 2. The Abebe Parity Identity: A Structural Law of Critical Doubling (mathematics) 4. The Abebe Tensility Framework – The Geometry of Failure 5. Five Millennia of Structural Tension – Empirical Study I 6. THE Abebe SENSOR PROTOCOL (2026–2027)