Autopoietic Dissipative Topological Adaptation (ADTA): A Unified Law for Physics-Driven Material Behavior

I propose a compact, testable physical principle for adaptive matter. In driven non-equilibrium media, transport pathways autonomously reshape in response to sustained forcing so as to stabilize viable flux by suppressing destabilizing spatial and temporal gradients of dissipation, while strictly respecting conservation laws and intrinsic material constraints. The framework unifies dissipation, memory, and structural evolution through coupled internal state fields describing material reconfigurability, transport architecture, and the persistent physical imprint of operational history. Two mathematically consistent formulations are presented: a continuum effective-conductivity description and an abstract topological-connectivity description, together with both an isothermal limit and a full energy-balance extension. A single decisive experiment is derived, predicting adaptive pathway reinforcement and controlled erasure under a prescribed forcing protocol with a falsifiable scaling signature. The framework demonstrates that physically embodied information processing and self-maintaining organization arise naturally from adaptive transport and dissipation in driven matter, without invoking algorithmic control or biological specificity.