ACORN Booklet 11: Gravity–Electromagnetism Unification — Curvature Closure and Unified Interaction

ACORN Framework Booklet Series The ACORN framework is a geometric curvature–closure approach to fundamental physics in which mass, quantisation, and dynamical behaviour arise from closed circulation of intrinsic curvature channels governed by a compact canonical operator structure. From these canonical relations emerge invariant closure norms, quantised loop actions, and recurrence relations that organise stable physical structure. The ACORN booklet series develops the consequences of this canonical framework across multiple domains of physics. Each booklet begins from the frozen Canon and explores how familiar physical phenomena arise as projections or consequences of curvature closure dynamics. This booklet develops the unified gravitational and electromagnetic sector of the ACORN framework. Within ACORN, gravitational and electromagnetic phenomena arise from different projection aspects of the same underlying curvature–closure structure. The canonical curvature–mass operator governs intrinsic circulation, while observable forces emerge through projection of curvature dynamics into spacetime coordinates. Gravitational behaviour reflects the global curvature geometry associated with the closure condition O(GAB)=0O(G_{AB}) = 0O(GAB)=0, while electromagnetic phenomena arise from the projected holonomy of the eq-channel curvature loop. These two descriptions therefore originate from a common geometric structure rather than from fundamentally separate interactions. Within this framework, the familiar gravitational field equations appear as the large-scale geometric organisation of curvature closure, while electromagnetic structure describes projection-level redistribution of curvature holonomy. The apparent distinction between the two interactions reflects different observational aspects of the same invariant curvature dynamics. ACORN: Gravity–Electromagnetism Unification therefore demonstrates how gravitational geometry and electromagnetic structure can be understood as complementary manifestations of a single curvature–closure framework. This unified interpretation provides the conceptual bridge between relativistic projection geometry and the cosmological curvature dynamics developed in the following booklet.