Emergent Relational Time: A Two-Page Research Brief on State-Potential Transformation, Internal Time, and Adaptive Systems

This bilingual two-page technical note provides a concise introduction to the Emergent Relational Time framework. The proposal treats internal time as an accumulated measure of meaningful state transformation rather than merely as an external background variable. Its central equation relates the change of internal time to state displacement, a metric of significant change, and the transformation impedance of the system. The brief outlines possible applications in physics, artificial intelligence, memory systems, robotics, biology, and complex adaptive systems. It also presents GPS loss or jamming as an illustrative case in which the framework could support adaptive sensor fusion and supervisory decision-making. The document is intended as an accessible entry point to the complete 36-page preprint, available at DOI: 10.5281/zenodo.21359701. The framework remains a testable research hypothesis and is presented for mathematical review, experimental comparison, and critical discussion.