Primitive Energy: A Boundary-Generated Framework

Abstract

We propose a boundary-generated framework for a primitive energy quantity, denotedby Φ. Rather than introducing Φ as an additional energy term, the framework associatesits generation with a deviation of a physical boundary state from a reference state. Thisleads to the structural chainD∂ −→ Φ −→ {E, F, rH , κ},where D∂ denotes boundary deviation and Φ represents the generated primitive energy. Theresulting framework provides corresponding expressions for energy and force and yields agravitational-radius shift through the energy–mass relation. The classical relations arerecovered in the zero-deviation limit, D∂ = 0, for which Φ = 0. The formulation is intendedas a compact structural framework connecting boundary deviation with observable physicalquantities.