WARP-Z: Weakly Acting Regimes and the Absence of Potential Differential Zones

This supplementary work introduces WARP-Z (Weakly Acting Regimes and the Absence of Potential Differential Zones) as the lower boundary of the Potential Differential Zones (PDZ) framework. While PDZ describes the conditions under which complexity can be retained and accumulated, WARP-Z characterizes regimes in which interaction and energy are present, yet no sufficient potential differential exists to sustain structure. Such regimes include weakly interacting particles, vacuum environments, and processes that traverse matter without forming persistent configurations. The paper clarifies the distinction between existence and retention, demonstrating that complexity does not arise wherever processes occur, but only where differences in potential can be maintained without destructive dissipation. From this perspective, weakly interacting regimes do not contribute to complexity directly, but instead establish the background conditions that make accumulation possible elsewhere. WARP-Z completes the conceptual spectrum of the PDZ model, extending it downward from structured systems to vacuum and near-zero interaction regimes. Together, PDZ and WARP-Z form a unified coordinate framework for identifying where structure, life, intelligence, and long-term organization can and cannot emerge. This work is provided as a conceptual and theoretical supplement to PDZ, without introducing new physical mechanisms or technical prescriptions.