Energy as Orientation‑Update Rate: A Structural Account of Form, Transformation, and Conservation

This paper offers a structural account of energy that avoids substance‑based interpretations. It defines energy as the orientation‑update rate of a constrained relational mode, treating energy not as a thing that moves or transfers but as a measure of how rapidly a system’s orientation changes under constraint. This framework unifies kinetic, potential, field, and mass‑energy expressions as variations of the same underlying operator. Conservation laws emerge as coherence conditions rather than metaphysical postulates. The account provides a non‑object ontology for energy that aligns with relational physics and supplies the structural foundation required for subsequent treatments of light, time, and cosmological expansion.