Polynomial Tension Management: A Cross-Domain Conservation Law in Complex Adaptive Systems

This paper introduces Polynomial Tension Management (PTM), a proposed cross-domain conservation principle describing how complex adaptive systems regulate structural tension across multiple layers of organization. The framework suggests that systems ranging from physical materials to biological networks and computational architectures exhibit conserved tension flows that can be modeled mathematically using polynomial relationships between stability, adaptability, and energy distribution. The PTM model is explored conceptually and mathematically, with discussion of potential applications in artificial intelligence architectures, adaptive governance systems, and resilient infrastructure design. This publication represents an early public release of the PTM framework and is intended to establish a timestamped research artifact for further investigation, critique, and collaborative development.