Horizons as Dimensional Interfaces: A Relational Framework for Source–Geometry Coupling, Interspace, and Ordered Composition

Horizons as Dimensional Interfaces develops a foundational relational framework in which boundaries are treated not as passive separations, but as interfaces whose physical significance depends on the transformation rules enacted across them. The work introduces a two-axis classification of interface behavior in terms of coupling classes (geometry-to-geometry, source-to-source, source-to-geometry) and dynamical regimes (preservative, transformative, dissipative, memory-bearing, hybrid). Beyond isolated interfaces, the manuscript develops the concepts of interspace as an emergent relational traversal structure and Conditional Relational Pipelines (CRPs) as ordered architectures whose outcomes depend on composition, context, and sequence. A minimal mathematical scaffold is provided to represent interfaces, ordered compositions, admissibility conditions, and history-dependent traversal behavior. The present work is intended as a conceptual and formal starting point for future model refinement, mathematical specialization, and potential application to systems in which transition structure, interface dynamics, or ordered relational composition play an active physical role. It is not presented as a completed predictive theory, but as a structured research framework for further development.