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…