Relational Interpretation of Time Dilation in Chrana Geometry

This paper presents an extension of the Chrana Emergent Geometry framework by exploring the relationship between information geometry and Einsteinian relativity through the concept of emergent time. Within the proposed model, spacetime is interpreted as a relational structure rather than a fundamental background, where local temporal evolution arises from the dynamics of informational configurations. By employing a geometric pullback metric, the study establishes a formal connection between mutual information and the physical spacetime metric, showing that relativistic time-dilation behavior can emerge from changes in internal relational dynamics. The framework also offers a possible informational interpretation of the Problem of Time by examining stationary configurations of the underlying informational network. Overall, the work aims to provide a phenomenological bridge between emergent time, information geometry, and relativistic physics while encouraging further theoretical and observational investigation.